diff --git "a/data/dm_maths/full_data_1/2163_11255.jsonl" "b/data/dm_maths/full_data_1/2163_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2163_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -v - 8 = 2*z, 0 = -4*v + 70*z - 62*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 22. Let s = t + 72. Suppose -8 = -s*m - 4*k, 2*m + m - 16 = -5*k. Solve m = 5*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2 - 2)*(-152*w - 156*w + 34 + 306*w) + (-4 + 6 + 3)*(3*w**2 - 2*w**2 - 3*w**2).\nAnswer: -4*w**2 - 102*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 8*z**2 - z + 8. Let r be p(8). Suppose r = 3*n - 6*n + 885. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90261 is divided by 7518?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0007 + -239.9993. Let n = j - -239.9793. What is n rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/185977300 and 41\/99800.\nAnswer: 371954600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -42515*u + 2338374. What is x(55)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k - 6. Let o be y(-4). What is the tens digit of ((-250)\/(-4))\/(o\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 15*l**2 + 1062*l - 3240.\nAnswer: -3*(l - 20)*(l - 3)*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.59 + -0.508. Round r to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 4*n + 6. Let b(g) = 4*g - 1. Let w(y) = -25*y + 5. Let o(j) = 6*b(j) + w(j). Let u be 2\/5 - 108\/20. Calculate u*o(x) - z(x).\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g**(4\/3)\/g*g)\/g*g**2)**(7\/6))**(2\/5))**(25\/3) assuming g is positive.\nAnswer: g**(350\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*q**3*v**3 + 127*q**3*v - 2*v**3 wrt v.\nAnswer: -456*q**3*v - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*f*r**2 + 3*f*r + 20*f - 117270*r**2 with respect to f.\nAnswer: 82*r**2 + 3*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1 + 1 + 0). Suppose -2*h + 32 = 4*i - n*h, -3*i + h = -24. Is i bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -157. Let j = -44 - p. What is the closest to 1 in j, -2\/3, -11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-12)\/x))\/x*x*x\/x**0*x)\/((x*x**10)\/(x*x**(3\/4)*x)) assuming x is positive.\nAnswer: x**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-7))\/d)**(9\/4)\/((d*d*d**(-1\/34)*d)\/d**(-24)) assuming d is positive.\nAnswer: d**(-763\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30.7403 and -106600872.\nAnswer: -106600902.7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.93 + -9. Let o = a + 7.07. Let j = o - 6.93. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483270, -1933088, -4349450, -7732356?\nAnswer: -12081806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, t: 6, o: 6, w: 4}. Give prob of picking 1 w and 3 o.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -370818 divided by 81\nAnswer: -4578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397172?\nAnswer: 2, 31, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0*n - 475259 - n + 475258. Let x = -2 + 1. Let w(g) = -37*g + 30. Let u(v) = x*w(v) + 3*r(v). What is the derivative of u(k) wrt k?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b**3 + b**2 - 6*b - 11. Let u(x) = 15*x**3 + x**2 - 6*x - 10. Let q(m) = -5*u(m) + 4*y(m). Let k be q(-1). Solve 10*s + 20 = k*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 31*i**2 - 2*i + 3. Let k be a(1). Suppose -2*f - 14*f = -k. Let g be (-46)\/(-10) + (-4)\/(-10). Sort g, f, 0, -3 in ascending order.\nAnswer: -3, 0, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (0 - -2) + -8 + 12 - 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 272858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:42 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1153*i**2 + 1046*i**2 + 1158*i**2 - 3349*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -11. Let m = -1.5 - -1.9. Sort -0.4, n, m.\nAnswer: n, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1030 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 471*t**2 + 161*t**5 - 468*t**2 + 937*t**2 + 9*t wrt t?\nAnswer: 3220*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-25)\/(d*d**(-6\/11)*d)*d*d*(d**(9\/4)*d)\/d*d\/(d*d*d**(1\/4)*d))**(-32) assuming d is positive.\nAnswer: d**(8608\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 9247 + 10509 = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 times -0.5?\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9*x + 35. Suppose -2*y - 10 = -x*y. Let s = 4.7 + -5. Is s at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*y - 5 - 4*y**2 + 5.\nAnswer: -4*y**2 + 52*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - (-2 + (-693)\/(-55)). Factor -9\/5*g**3 + t*g + 7\/5*g**2 + 0.\nAnswer: -g*(g - 1)*(9*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d + 1. Let k be o(-2). Let v(w) = -2 - 5 + 3 + k. Let p(i) = -i - 5. What is -p(j) + 5*v(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 348 and 21?\nAnswer: 7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5062? (a) 1 (b) 5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29008*i**3*j**3 + 238*i**3*j**2 + 2*i**3*j + i**2*j**2 - 11*i*j**2 + 3*j**5 + 1 wrt j.\nAnswer: -174048*i**3 + 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/14 + 6\/(-14). Let j = 58 - 1. Suppose -3*u + j = 3*h, y*h + 33 = 4*u - 55. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.12 - -0.28. Let q = 1.9 - u. Which is the third smallest value? (a) q (b) 0.3 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(432\/6378)*22. Let c = 649 + q. Is c bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107990383 to the nearest integer?\nAnswer: 10392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 24568464348.\nAnswer: 24568464348.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 17, -25, -93, -193, -331, -513, -745?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39\/5 in 0.4, 13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*h + 8, h = 13 - 9. Solve -22 = -7*s - m*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9873377*k**2 - 8370*k**3 + 9873369*k**2 + 8377*k**3.\nAnswer: 7*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16146 and 1196.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**4\/4 + b - 2. Let p be 0\/(-2) + (0 - 1). Let i(y) = 5*y**3 - 2*y**2 - 6. Let f(u) = p*i(u) - 6*g(u). Factor f(r).\nAnswer: r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112427?\nAnswer: 7, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173014534 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Is p\/4 + 461\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7665650021.\nAnswer: 1297, 5910293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1\/4)*p)\/(p\/(p**4*p*p))*p**(-5)*p**(-2\/7) assuming p is positive.\nAnswer: p**(83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, -3, -20 in descending order.\nAnswer: 3, 2\/5, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6683a5 - -22?\nAnswer: -668383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 7*k - 3*k)*(-6*k**3 + 2*k**3 - 4*k**3) + (k**2 + 3*k - k**3 - 294 + 294)*(-5*k + 7*k + 7*k).\nAnswer: -49*k**4 + 9*k**3 + 27*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 0*m**2 + 111*m + 0*m**2 + 4*m**2. Let z(o) = -85*o + 4. Let d(f) = -192*f + 9. Let v(y) = 4*d(y) - 9*z(y). Determine l(v(k)).\nAnswer: 18*k**2 - 333*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 117269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59426465*0.4.\nAnswer: -23770586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 2*h)*(-36*h**2 + 13*h**2 - 20*h**2 - 2*h**2 + 3*h - 3*h + (3*h - 3*h - 2*h)*(-h + 2*h - 2*h) + 2*h**2 - h**2 + h**2) + 4*h**3 - 5*h + 5*h.\nAnswer: -78*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -7*u + 257. Let n = -18 + u. Let g be n + -4 + 3 + 2. Let l(b) = b**3 - 4*b**2 - 4*b + 4. Calculate l(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 7*y - 104. Let u = 18 - y. Is (-17 - -13) + (0 - u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i + 379. Is k(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*z = -95*z - 12. Suppose -2*j = g - j - 16, 5*g + z*j = 92. Suppose -g*b + 85 = -3*b. Solve -6*s + b = -s - 4*l, -5*l = 3*s + 34 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7917*a. Let u(v) = 36*v**2 + 2*v. Give u(i(x)).\nAnswer: 2256440004*x**2 + 15834*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 698984.\nAnswer: 698984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Let u be ((-1)\/(-5))\/(s\/5). What is the biggest value in -1, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -3*k**7\/14 + 17*k**6\/30 - k**5\/60 - 47*k**4\/36 + 14*k**3\/9 - 2*k**2\/3 - 32*k. Find s such that h(s) = 0.\nAnswer: -1, 2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 8 + 20. Find s such that s**2 + 0*s + 6*s - d*s + 0*s**3 - 4*s**3 = 0.\nAnswer: -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 (base 7) in base 15?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**12\/h)*h\/((h**(1\/8)\/h)\/h)*((h**(1\/7)*h*h)\/h)**23)**(-20) assuming h is positive.\nAnswer: h**(-5365\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 120930?\nAnswer: -7\/120930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7318600 to the nearest 100000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31422 - 110132?\nAnswer: -45410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 3*h + 2. Let g be a(-2). Solve y + 3 = -g*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241334 (base 5) to base 7.\nAnswer: 35102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 4*q - 3. Let i be c(1). What is the nearest to -0.4 in -3, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(76)*2 + (sqrt(76) - sqrt(76)*-3*-3))\/((sqrt(4) - sqrt(24)\/sqrt(6))*5 - sqrt(324)*-2).\nAnswer: -10*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4151341100 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3262 + 2?\nAnswer: -3260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3468, 7269, 11418, 15921, 20784, 26013, 31614, 37593?\nAnswer: 43956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 7*a**4\/12 - 17*a**3\/6 - 51*a**2. Let w be c(4). Calculate the highest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*u + 21 - 21 + 2*u**2 + 57*u to d*u + h*u**2 + j and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012531329 to four dps.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 2, k: 6, v: 2, y: 1, t: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 0 - 56\/(-7). What are the prime factors of i + (1 - -3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a + 1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53926.\nAnswer: 2, 59, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 less than -5342.9495979?\nAnswer: -5313.9495979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5164090 and -131\/1110.\nAnswer: 15492270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(4\/13))\/(i\/i**(-33))*(i**9*i)**(-27) assuming i is positive.\nAnswer: i**(-3935\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 12*c = 210. Let t(i) = -i**3 + 11*i**2 - 11*i + 1. Determine t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386001023 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 8*j**2 - 3*j**3 + 21*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 17 + -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1223846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*h**2*q**3 + 2*h**2*q**2 + 6*h**2*q + 5*h**2 + 3*h*q**4 + 5*q wrt q.\nAnswer: 456*h**2 + 72*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -415*x**4 + 9*x - 13.\nAnswer: -4980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 408 (c) -1 (d) 3\/5 (e) 2 (f) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*l - 16, 12 = 5*l + a + 4. Let k be (2 - 4)\/(1*8\/(-12)). Solve -k*x = l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -29 - -8) + (12 - -36)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 2*v**2 + v - 5. Let y(k) = -6*k**3 - 3867*k**2 - 7734*k - 3882. Let j(b) = 3*u(b) - y(b). Factor j(s).\nAnswer: 3*(s + 1)**2*(s + 1289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*j**2 + 1074*j**2 - 536*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2*m - 23. Let l be n(-6). Let y be (-2)\/(-9)*-1 - 1209\/(-702). What is the nearest to l in y, -0.2, -0.13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 15182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 86*p - 111. What is w(-13)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -92, 5, -8, -2.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17904 - -9976. What is z rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30208a (base 16) in base 15?\nAnswer: 424808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (188*y - 36*y**2 - 188*y)*(1 - 3 + 4) - 2*y**2 + 0*y + 0*y + (2 - 2 + y)*(2*y - y - 3*y) to the form i*y + n*y**2 + t and give n.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 - 6) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:28 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4720269884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40193 is divided by 36929?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23123096 or 2\/9?\nAnswer: -23123096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(208)\/sqrt(324))\/(sqrt(16)\/(sqrt(16)\/sqrt(4)))*-2)**2 + 2.\nAnswer: -16*sqrt(13)\/9 + 1510\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 8. Let y be 1\/(v\/(-6) + 0). Suppose 15 = y*c, -4*i + 2*c = -2*c. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -38*u**2. Let y(k) = 6*k + 29. Let g be y(-4). Let b(q) = -g*q - 2*q + 5*q + 0*q. Calculate b(z(n)).\nAnswer: 76*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {e: 3, t: 2, s: 1, g: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/2 - 5*z**3\/6 - 5*z**2\/2 + 6*z. Let b(k) = -15*k**2 + 12*k + 12. Calculate 5*b(i) + 12*o(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (4 - 7) + 0 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 8:25 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3) - (-3093)\/(-1260). Let y = j + 9\/28. Sort 0, y, -0.5.\nAnswer: y, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439279.2 millimeters in centimeters?\nAnswer: 43927.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 533568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 3. Suppose 1 = 3*j - 5. Calculate the least common multiple of 11 and f(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79211522.5 rounded to the nearest 1000000?\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-85)\/30))\/(-22)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266196804848.39947 - -266207663418.4. Let v = 10858633 - q. Let o = 63 - v. What is o rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -778113, -778128, -778133, -778122, -778089?\n\"Answer: i**3 - i**2 - 19*i - 778094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38.7 - -40. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 21*s - 9 + 36 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 + 9*c - 8. Suppose 3*x + 1980 - 1992 = -3*v, 0 = -4*v + 4*x - 40. Give a(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = 9*q + 3348. Suppose -3*r - 172 = -r. Let v = q - r. Is v greater than -51\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69236 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -22 + 69 - 30 + 57 + 23 + 2*v. Let w(n) = -2*n**2. What is h(w(o))?\nAnswer: -4*o**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrr when four letters picked without replacement from xxrxvxrxrvvxx?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*k + 5. Let j be 5\/(-2)*(21 + -23)*-1. Let i be j\/(-50) - k\/2. Which is the closest to 0.1? (a) 3\/8 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 2*r**2 + 3\/4*r**5 + 0*r**3 + 0*r**7 - 11\/6*r**4 + 0*r**6 + 0 - 3\/56*r**8 - 90*r. Find the third derivative of h(d) wrt d.\nAnswer: -360*d**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -590838 by 2.\nAnswer: -295419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7003, 6954, 6905, 6856, 6807, 6758?\nAnswer: 6709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51113366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9445295.32 to the nearest one hundred thousand.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48.34 and 2.02.\nAnswer: 97.6468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w**3 + 2226*w**2 - 557*w + 157. Determine p(278).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2566 = 2496. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452594774 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/5 (b) -9 (c) -122 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = 4*y - 15*m - 10, 0 = 4*y + m - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*o + 3*j, -5*j = o - 3*j - 36. What is the third derivative of 24*a**2 - 34*a**6 - 33*a**6 + o*a**2 - 14*a**6 wrt a?\nAnswer: -9720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 25966362.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:37 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 26*p**2 + 3. Let w be k(-26). Let f(m) be the first derivative of 14\/3*m**w + 0*m**2 + 17*m + 8. What is the derivative of f(x) wrt x?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -340 - -480. Let m = k - 96. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011110000 + 110?\nAnswer: 1011011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**6\/360 + l**5\/180 - l**4\/36 - l**2 + 5*l. Let q(t) be the first derivative of v(t). Factor q(c).\nAnswer: c*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105\/8 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - -81. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 times -0.2204777\nAnswer: -7.7167195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {p: 3, j: 3, r: 3, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.98 (b) -23 (c) -0.4 (d) 3 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkja when four letters picked without replacement from {t: 1, k: 2, a: 2, j: 4, b: 1}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -375*a**2 - 30*a + 15. Let b(k) = -2*k**2 + 2*k - 1. What is -15*b(p) - i(p)?\nAnswer: 405*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in 1\/18, 0.4, 0, 32?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32095*p**3 + 2*p**2 + 5*p - 152637 wrt p?\nAnswer: 96285*p**2 + 4*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 17*q - 2. Let d(x) = x. Let l(c) = -3*d(c) - p(c). Let z be l(-1). Let k = -63 - -65. What is the highest common factor of z and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568448891.\nAnswer: 3, 41, 47, 90437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 9. Suppose 3*x = 3*v + 24, 3*x - v + 3*v = -1. Solve 4*h = 3*d + 1, -x*d + d = h - u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6599, 0.13, 0.5, 2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3)*9\/(-6))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2. Let r(i) = -9 + 7 - 1 + 0 + 1 - 54*i. Calculate r(c(q)).\nAnswer: 216*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - ((-126)\/(-5))\/6. Let j be (-8)\/4 - t - 0. Solve -u = 4*k - j - 12, 2*u - 2*k + 12 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - r - 4*r)*(0*r + 2*r - 4*r) + (-3 + r + 3)*(-3*r + 13*r + 4*r) as c*r**2 + n*r + m and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6275 (base 9) to base 8.\nAnswer: -10774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 151547072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxxrr. What is prob of sequence qrxx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) 1\/7 (c) -0.4 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*2\/(-32))\/(63\/28)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/21)\/(12*(-2)\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-117))\/((-6)\/36).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) - 699\/(-21). Let h = 37 - d. Find the third derivative of -64 - h*n**2 - 8*n**3 + 64 wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4889328*q**3 + 8243157 wrt q.\nAnswer: 14667984*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -89 + 11 = 268*k - 271*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 8*z**2 + 5*z + 9. What are the prime factors of u(9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -5)\/(9\/(-57)). Let j(m) = -m**2 - 21*m - 35. Give j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28002 at most as big as 27228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 - 31. Calculate the highest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3 - 8. Let r = g - 0.4. Let p = -17.02 - -12.02. Which is the second biggest value? (a) r (b) 2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 15 + -6 - (-10 - -6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -93393, -18 in descending order.\nAnswer: -1, -15, -18, -93393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -1. What is the first derivative of -8 - 5*u**3 + j + 7 wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20020 and 18052892?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/3)\/(f*f**10))**(-31)\/((f*f**(-2))**27\/((f**(3\/2)\/f)\/((f\/(f\/(f\/(f*f**(-7)*f*f)*f)))\/f))) assuming f is positive.\nAnswer: f**(2491\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/3 + 218*a**4\/3 - 8086*a**3\/3 + 35222*a**2\/3 - 12076*a\/3 - 55600\/3 = 0. Calculate a.\nAnswer: -139, -1, 2, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -10*m**2 + 0*m**6 - 1\/70*m**7 + 7\/6*m**3 + 0 + 0*m**4 + 0*m + 0*m**5. What is the first derivative of b(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6743 - -14.0717. Let z = -0.054 - o. Let t = z + 14.8448. What is t rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13 + p + 15*p**2 + 3*p**3 - 2*p**3 - 6*p**2. Let r be q(-9). Let t = -1 + 0. Which is the third biggest value? (a) r (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -7*d**3\/6 + 27*d - 6. Let a(k) = -6*k**2 + 3. Calculate a(p(t)).\nAnswer: -294*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 5*j**2 + 2*j. Let o be h(-5). Let b be -4 - (16\/10)\/(2\/o). Solve -5*l = 5*c + 10, -b*l = 3*c - c + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7767 + 0.4077. Let d = v - 1.2. Round d to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 3*d + 4. Let r be y(3). Let i be 4\/6*(-15)\/(-2). Suppose 0 = b - g - i, 5*b = 3*g + 21. Solve -2 = -r*h + b*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 10 = -5078*a + 5076*a, 2*a - 2*m + 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 2)\/((-6)\/136). Suppose -i + p = 2*c, -2*i - 95 = -3*c - 0*i. What is the lowest common multiple of 0 - c\/(-6)*2 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (11*-1)\/(2\/(-10)) and 5*(-2)\/(-15) + 32\/6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*t**2 + 1)*(3*t + 0*t - t)*(-1 + 1 + 1)*(5 - 68 - 13)*(-2 - 6 + 4) in the form q*t**2 + k*t**3 + o + c*t and give k.\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 72. What is the biggest value in j, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*g - 89. Let u(f) = -6 + f**2 - g*f - 3*f**2 - f + 3*f**2. Let v(k) = -k**2 + 6 + 2*k - 1 + 3*k. Give 3*u(o) + 4*v(o).\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**3 - 58*b**2 + 1516*b - 5130.\nAnswer: -2*(b - 5)*(b + 19)*(4*b - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4028*z**3 + 105*z**2 - 1 wrt z.\nAnswer: -24168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(2\/13)))\/f**4*(f**(-1))**22)\/((f*f*f**(-2\/15))\/(f\/(f*f**1))*f\/f**(3\/2)*f*f**(-2)) assuming f is positive.\nAnswer: f**(-10733\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3803788035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:46 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 15*c = 117 + 65 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 120*o**2 + 914*o - 2011. Calculate u(112).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6 - 3, -c + 3 = -2*y. Solve -u = -2 - y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1563 + -423. Let p = l + 1989.348. What is p rounded to 1 dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 14 = 122. Let i = -45 + 63. Calculate the highest common factor of i and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/95 (b) -3467 (c) -0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -1. Let r = -30 + 44. Let o = w - r. Which is the nearest to 0? (a) 0.3 (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 276 + 1500. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4966 + 1255. Let j be 450*4 - (-1 - -3). Let b = j - g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -7)\/(1\/8). Let a(p) = -p + 1. Let l be a(-6). What is the highest common factor of d and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4544 - 0.4544. What is the closest to -2\/9 in -33, -5, 2\/3, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84443 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + y**2 + y + 1. Suppose 3*p - 3 = m, 3*m + 3*p - 4 = -p. Suppose -5*z - 5*c = -10, m*c + 8 = -2*z + c. Give j(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 7:07 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p - 23. Let v be s(6). Suppose -48 = 11*d - v*d. Solve 0 = d*z - 4*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*p**2 + 32*p - 128 = 0. What is p?\nAnswer: -8, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(13) + -1 + sqrt(13) + 0 + 2)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 7:55 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((-2)\/(-3))\/(-2). Let k be 6\/(-24)*20\/(-15). Factor y*o**2 - 1\/9*o**3 - k + 1\/9*o.\nAnswer: -(o - 3)*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**4 - 732*u**3 + 168345*u**2 - 9878550*u + 183315000 = 0.\nAnswer: -404, 50, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 763 + -3053\/4. Which is the closest to 0.1? (a) 56 (b) -2\/7 (c) z (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1217 - 1163. Calculate the least common multiple of i and 234.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-16\/7)\/k)**(-36)*(k*k*k**(3\/2)*k)**(-37) assuming k is positive.\nAnswer: k**(-1179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*b - 694 + 4686 + 1402 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1324 - 1334) + 1 + -39.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56796121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + (-18)\/15. Let n = 2.88 - 2.98. Let j be ((-30)\/4)\/(3 + 0). What is the third biggest value in n, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2201, -2192, -2187, -2186?\nAnswer: -2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + n - 5 = 0, r - 10 = 4*n - 6*n. Solve 4*z + r*p + p = 5, 5 = z + p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**3*z + 2*f**3 + 199695*f**2*z - 199815*f*z - 2*f - 5*z wrt f?\nAnswer: -30*f*z + 12*f + 399390*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096670 to the power of 1\/2, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, w: 9}. Give prob of picking 3 u.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.34 (b) -3 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5645 - -1.4355. Suppose 0 = 5*b - 20, 4*o + 17 = 3*o + 2*b. Let a be -9 - o - (-7)\/2. Put k, 0.5, 3, a in descending order.\nAnswer: a, 3, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(272)*-1 + 1*(sqrt(272) + 1) + sqrt(272))**2 - 4*2*(sqrt(272) - (sqrt(272)*-5)**2*6).\nAnswer: -112*sqrt(17) + 325806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(33*m**2 - m - 73*m**2 - m**2) + (0*m + 0*m - 2*m**2)*(-4 + 1 + 4).\nAnswer: -43*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11330332 (base 4) in base 7?\nAnswer: 131041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 8. Suppose -f = -4*k + 11, 0 = -5*k - b*f - 0*f - 5. Let t = 43 + -27. What is the highest common divisor of t and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/2 + 9*q**3\/2 + 9*q**2 - 12*q.\nAnswer: -3*q*(q - 4)*(q - 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 170931 = -5*m + 260870, 5*r = m + 1079462. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*q - 144. Calculate the lowest common multiple of q and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 662874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 41, -14, -119, -274, -479?\n\"Answer: -25*l**2 + 70*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {w: 5, d: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 + 52*n**2 - 440*n + 1200 = 0. Calculate n.\nAnswer: 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 279*m**2 - 35*m + 1757. Is s(-63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let a(g) = -6*g + 3*g + 1 + 0. Let y be ((-2)\/(-4))\/((-3)\/18). Let r be (1\/3)\/(1\/y). Calculate r*p(d) - a(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*b - 11 = 0, -2*b + 0*b + 4 = q. Let d(u) = 375*u - 368*u + 4*u**2 - q - 5*u**2. What is d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 84.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 j when four letters picked without replacement from jjjkqjjjjjcycqjjc?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 6676184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*z - 3, 3*k - 3*z + 2 = 11. Let i(p) = 106*p**2 - 6*p - 13. Let w be i(k). Is (1\/(-3))\/((-7)\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199271 is divided by 249?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (((2*sqrt(216) - sqrt(216))*-2 - sqrt(216))\/sqrt(12) - sqrt(198)\/(sqrt(11) + sqrt(121)\/sqrt(44))))**2.\nAnswer: -738 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -314070 divided by -62814\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppw when four letters picked without replacement from owpwppopww.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/30 - i**3\/6 + 6*i**2. What is the first derivative of l(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z - 14 + 14)*(-1 - 6 - 5)*(0 + 2 - 3)*(-z - z + z) to the form l*z**2 + m*z + c and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*c + 3450 = -113*c + 105*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12762118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2 - 363*q**2 + 358*q**2 - 2*q**3 - 2*q**4 + 2*q to the form l*q**3 + c*q**4 + f*q**2 + z*q + v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -132*u + 1329. What is c(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5054*i**5*p**2 + 11*i**2*p**2 + i**2*p - 8*p**2 - 2 wrt i.\nAnswer: 303240*i**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 - (9 + -15 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287152?\nAnswer: 2, 80447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**4 - h**3 - h**2. Let t(o) = -1060*o**4 + 6166*o**3 - 8424*o**2 - 1608*o - 72. Let u(n) = -2*s(n) - t(n). Factor u(y).\nAnswer: 2*(y - 3)**2*(23*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*b + 222 - 2, f = -3*b + 217. Determine i, given that -15 - 13*i + 31*i - 211*i**2 + f*i**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1302944?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gauadudaqgduddgduq. Give prob of sequence qud.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 75. What is the common denominator of -107\/30 and -26*(w\/432 - (2 - 2))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*u + 66, 5*f - 29 = -4*u + 49. Suppose -179 = -5*a + 171. What is the remainder when a is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1121 + -1132222334?\nAnswer: -1132224010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k + 7. Let i be 2\/9 - 83\/9. Let l = i - -3. Is n(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3 + 1. Let s be (-3)\/y*6\/9. Let w = 3 + -2.5. What is the nearest to s in -2, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**4 + 124*g**3 - 596*g**2 - 124*g + 600 = 0?\nAnswer: -1, 1, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 + 5*u - 2. Suppose 3*q = -17 - 1. Let k(g) = g**3 + 7*g**2 + 4*g - 10. Let f be k(q). Calculate the remainder when v(f) is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -r, -33 = -4*r + 4*q - 17. Solve 0*u + 17 = -r*d - 4*u, 4*u = d - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/78*84\/(-525)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + -6 + 1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 233085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = z - 2, -2*z + 1 = -3*j - 6. Let f be (-2)\/z + 9\/(-15). Let q = -12 - -17. Sort q, f, -2 in increasing order.\nAnswer: -2, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 g when four letters picked without replacement from bbbbgggbbbbgbbbbbbb?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558 + 208 = 75*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2*d - d + 2*d)*(-3*d + 7*d - 2*d) as b*d**2 + q*d + n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/40*(-1 - 235)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -5*v - 4. Suppose 48485 = 5*b + 3*f, -v*b + f + 19415 = -2*f. What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 2. Let y(r) = -10*r + 10. Let v(l) = -1. Let s(u) = 3*v(u) + y(u). Determine -7*n(b) - 2*s(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let r(p) = 30*p - 68. Determine r(n(k)).\nAnswer: -30*k**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 3*w - 2*w**3)*(155 - 409 - 237 - 79) in the form k*w**2 + x + m*w**3 + c*w and give m.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 8*w**2 - 2. Let g be z(8). Let l(j) = 8*j**3 - 5*j**2 - 3*j - 5. Let t(s) = -4*s**3 + 2*s**2 + s + 2. Give g*l(n) - 5*t(n).\nAnswer: 4*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 137 - 47 = 0. Let y = t - -63. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*m**2 - 534*m + 534*m)*(-2*m + 5*m - m).\nAnswer: -132*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(132)\/sqrt(3) - sqrt(44))*2)\/(sqrt(256) - (sqrt(256)*-2 + sqrt(256))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 635 - 603. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 + 2*o**2 + 3*o - 5. Let w(t) = t**3 - t**2 - 7*t - 5. Let g(f) = -5*a(f) - 3*w(f). Find l such that g(l) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 11. Let v(p) be the third derivative of -p**4\/12 - 136*p**2. Give v(b(w)).\nAnswer: -4*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Solve x*m = 1 - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + t - 17 = 0, -4*l + 8 = t - 5. Let y(k) be the third derivative of 0 - 1\/180*k**5 - 1\/72*k**l + k**2 + 1\/360*k**6 + 1\/18*k**3 + 0*k. Factor y(s).\nAnswer: (s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -29*m**2 + 4. Calculate s(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -1 + (-6 - -3). Which is the closest to 1? (a) v (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 0 + 0 + (0*m - m + 3*m)*(0 + 2*m + 0) + (-7*m - 19*m - m)*(5 - 3 - 4)*(2*m + 4*m - 3*m) to s*m + u + a*m**2 and give a.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(192) - -1*sqrt(192)*-3 - (-1*sqrt(192) + -4)))**2*-4 + 5.\nAnswer: -959 + 448*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*d**2*s**2 - 1449*d**2*s - 25*d**2 + 2*d*s**2 + 3*d - 432 wrt s.\nAnswer: 12*d**2*s - 1449*d**2 + 4*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9021.708 centuries to years.\nAnswer: 902170.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**5\/4 - 4*k**3\/3 + 10*k. What is the second derivative of x(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -13. Suppose 5*b - q*b = 108. Let y = b - -93. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 = 5*b - 2*i, -5*i + 405 + 575 = 5*b. Suppose -a = -6*a - 25, -2*a - b = -4*g. Let t = g + 16. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 - 9*l**2 - l + 20. Is 15 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63160000 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 + -67. Let n(p) = -p**3 + 15*p**2 + 17*p - 11. Let m be n(16). Suppose m*o = 10*o - a. Solve 5*x - 6 = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 686 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 44?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -63. Let z be 32\/s + 10\/45. List the prime factors of -1 + z + -3 - -27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -179 in -5\/7, 0.6, -5\/6, 1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 9361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -394 + 46885\/119. Let m = r + -211\/3213. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 29\/1)*1. Let f be 4\/(-16) + l\/(-168). Which is the biggest value? (a) f (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 - 138*w - 900 = 0.\nAnswer: -6, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 v when three letters picked without replacement from {e: 2, v: 9, t: 3, w: 2, s: 3, l: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-350)\/49) + 180\/(-15)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 - m**3 - 146*m + 286*m - 1 - 136*m. What is g(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r**3 + 288*r**2 - 1560*r + 800.\nAnswer: -2*(r - 10)**2*(7*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -137\/2 in 3\/25, -2, 3\/7, -0.1, -9\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-1128 + 1)) + -13*48\/(-312). Calculate the highest common divisor of p and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7101, -14126, -21099, -28020, -34889?\n\"Answer: 26*u**2 - 7103*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*l - l**3 - l**3 - 449*l - 3 + l.\nAnswer: -2*l**3 - 677*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23 + 21)\/(16\/(-780562))*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136 - (238\/(-493))\/(14\/(-203)).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3*(-2 + -4). Suppose 2*a = 3 - 1. Solve p = -c + a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 69, -0.3, 4, 27, 8, 0.09 in descending order.\nAnswer: 69, 27, 8, 4, 0.09, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 11*c**2 + 29*c + 135. Let r be b(-13). Calculate the highest common factor of r and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = 4*x, 5*p + 24*x - 22*x = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r - 10. Suppose -3*f = -5*a + 1, -4*a - r*f = 8 - 31. Solve 3 = -m, 0 = 4*w - 2*w - a*m - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u - 312192 - 19*u - 16*u + 312192 + 47*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a + 63. Let w be l(5). Let k(u) = -u**3 + 19*u**2 - 16*u - 26. Let v be k(w). Solve -2*r + 0*r = -v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*m - 5, 3*p = -4*m - p - 12. Let t be ((-8)\/24)\/(m\/(-9)). What is the smallest value in 3\/4, 2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13131*m**3 - 8*m + 498.\nAnswer: -78786*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*(-4 - 2\/4*15). Let v(t) = 5*t - p - 140 + 279. What is v(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anhlljp. Give prob of picking 1 n and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 2, l: 1, y: 1, t: 2}. Give prob of picking 1 l, 1 y, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162601\/4 + 40657. Factor -d + 3\/2*b**2 - 9\/4*b.\nAnswer: 3*(b - 3)*(2*b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 3\/4, 2\/9.\nAnswer: 2\/9, 0.3, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -3)*601\/84140\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2321, 4882, 7443, 10004, 12565, 15126?\nAnswer: 17687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4078135*z**4 - 107239*z**2 wrt z?\nAnswer: 97875240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 6, j: 2}. What is prob of sequence rn?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.01 (b) 2 (c) -2\/21 (d) 0 (e) -242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -22. Let h be 2 + (-2 - 3) - -3. What is the smallest common multiple of h + (-4)\/(12\/s) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*k - 175*k + 6289 = 632*k + 69469 for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49695063?\nAnswer: 3, 11, 17, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2104634 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262.9513 + -0.0487. Let q = 263.00322 + t. Round q to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004005209706 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(24)\/sqrt(2)))\/(sqrt(40)\/(sqrt(10) - sqrt(160))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100100 (base 2) in base 5?\nAnswer: -3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66 + 54*c**3 + 0*c + 510 + 2*c wrt c.\nAnswer: 162*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 550, 2, 0, 4, 1, -13 in ascending order.\nAnswer: -13, 0, 1, 2, 4, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130164787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-24)*10*(-4)\/1. Is (-1)\/(-5)*-1 - (-94030)\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02022188 rounded to 4 decimal places?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2671 + 2667. Which is the third smallest value? (a) 0.5 (b) w (c) -30 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {d: 5, q: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 350 + 1057. List the prime factors of h.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, 8, 0.\nAnswer: -28, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 102, 113, 138, 183, 254, 357, 498?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3*o + 8 - 2*o**2)*(29 + 13 + 0) to the form h*o + z + w*o**2 and give w.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 1990 - 1980 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(102)*-2*1 + sqrt(102))\/sqrt(6))**2.\nAnswer: -18 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217.282 - -217. Round r to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 5*k**2 + 3*k**2 + 2*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 57 + 57)*(0 + 1 + 1)*(-2 + v**3 + 2).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 2, s: 4, q: 1}. Give prob of picking 1 s, 1 q, and 2 u.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**4\/18 - 2*m**3\/27 + m**2\/9 + 2*m\/9 + 6. Let f(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 4. Let x(y) = 3*y + 15. Give 15*f(v) - 4*x(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15921792 and 6504.\nAnswer: 15921792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/13077 and -13\/6?\nAnswer: 26154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 22 - (0 + 0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8938 - -8937.948938. Let h = k - -0.051. What is h rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2. Let a(p) be the third derivative of 17*p**4\/24 + 5*p**3\/6 + 32*p**2. Determine a(g(r)).\nAnswer: -51*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.157527 and 27.\nAnswer: 26.842473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -4\/3, 2\/5414251 in decreasing order.\nAnswer: 2\/5414251, -4\/3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01333 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from {j: 6, u: 1, s: 8}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/41346831 and -86\/21.\nAnswer: 289427817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 69*n**2 - 45*n - 15. Let m be t(-34). Let k = m + -334. Calculate the highest common divisor of 800 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - -3) + -29 - -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2016)\/616 + 580\/110. Factor -32\/5*v**3 + 126\/5*v**t + 32\/5*v - 128\/5 + 2\/5*v**4.\nAnswer: 2*(v - 8)**2*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2307*q + 925103. Determine z(-401).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.1 - 18.1. Put 3\/4, m, -3, 2\/3 in descending order.\nAnswer: m, 3\/4, 2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6245766 is divided by 475?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32233759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 59 = 6*t. Suppose -1 + t = -2*w, -168 = -3*y - 4*w. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 228 = 2*a, 4*y - 3*a - 399 = -y. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2026)\/(-14) - (-6)\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 1, a: 1, c: 6, z: 2, u: 1}. Give prob of sequence ua.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**3\/6 + 13*h**2\/2 - 4*h. List the prime factors of r(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1236219, 1236221, 1236225, 1236231?\nAnswer: 1236239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1941*f - 3310*f - 82019 = -1884*f + 45927 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 2, c: 4, d: 2, x: 1}. Give prob of picking 1 c and 1 n.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10625 and 13\/80.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -89, -88, -87, -86?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120220 - -2221221210?\nAnswer: 2220100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5 + 4451*z**4 - 273195*z**3 + 4730549*z**2 - 15786208*z + 14764596 = 0?\nAnswer: 2, 29, 4389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1097 - -1198.6. Let d = 89 - q. Round d to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 3\/2, 0, -0.3, 3\/4.\nAnswer: -141, -0.3, 0, 3\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -4*z**3 + 3*z**2 + 9*z + 31. Let i(m) = -11*m**2 + 5*m + 9. Let q(t) = 5*c(t) - 6*i(t). Differentiate q(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.025 + -0.025. Let u = 199 + -208.3. Let h = u + 9. What is the biggest value in 0, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2. Let h(r) = 245*r - 101. Determine h(a(w)).\nAnswer: 490*w**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18753 - -337435\/18. Let z = 909 + -1613. Calculate the common denominator of (29\/(-3))\/((z\/12)\/(-8)) and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**4 + 41*n - 4. Let b(v) = -v**3 - v - 1. Let o(g) = 4*b(g) - r(g). What is the second derivative of o(l) wrt l?\nAnswer: 48*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2132844.4 and -1.\nAnswer: 2132844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -444*c**3 + 3*c**2 + c. Let x be o(-1). Let z = -429 + x. Solve -5*j + 0*j + 3*i = z, 2*i + 6 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200800000 to the nearest 1000000.\nAnswer: 201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 4, 0.2, 3, 2, -31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2 + -2.3. Round i to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - 9*n**2 - 34. Let o be j(5). Let g(y) = -y + 12. Let l(p) = -3*p + 25. What is o*g(i) + 4*l(i)?\nAnswer: -3*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 5*k - 3. Suppose 16 = 4*y - 0*y. Suppose 0 = -4*i - 4, -l + 2*i = -y*l + 4. Suppose c + 3 = -l*f - 2, 3*f = -3. What is x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648378.349 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 35 = 7*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -9, -79\/5 in descending order.\nAnswer: -3\/7, -9, -79\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/900 - p**3\/3 - p**2. Let b(w) be the first derivative of d(w). Solve b(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -8. Let j(t) = t**2 + 7*t + 4. What is the units digit of j(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:30 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 - 17 = 0. Let k = 177 + -308. Let d = k - -133. Put d, -4, b in increasing order.\nAnswer: -4, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 - l**2 + l - 1. What is w(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -742 - -2230. What are the prime factors of o?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t + 25*t = 360. Solve 367*u = 379*u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - 2*n**2)*(n + 3*n - 5*n) + n - 1 + 0 - 27*n**2 + 25*n**2 - 16*n**3 + (2*n - n + 0*n)*(n**2 + 4*n**2 - 4*n**2).\nAnswer: -13*n**3 - 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 7) to base 11\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.2, -3312, 0.5, 3 in ascending order.\nAnswer: -3312, 0.2, 0.5, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6092759 to the power of 1\/2, to the nearest integer?\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 19*l**2.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -55*k**2 + 1. Let o be u(1). Let g = o - -89. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -4, 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*q + 8 = 0, -3*r + 20 = -q + 7. Let m(c) = c + 7 - 3 - r. Let t(a) = -57*a**2. Calculate m(t(f)).\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-1)\/((-3)\/21). Solve 4*n = 5*n + b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 91*u**2 - 150*u - 13788. Calculate d(-91).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 1395*p + 1396. Let o be h(-1). Solve -q - o = -3*q, -4*x + 2*q = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/105)\/(-3))\/(15*(-22)\/(-385))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 m when three letters picked without replacement from {f: 3, h: 1, p: 2, k: 2, m: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 138811 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a kilometer in meters?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -9. Suppose n = 4*f + 26 - 6. Is 796\/10 + 3\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 28986*b - 202895. Give v(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.5. What is the closest to 1 in j, -5, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 43, -4 in increasing order.\nAnswer: -4, -2, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtu when three letters picked without replacement from {u: 1, c: 1, w: 1, m: 1, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 10*m + 11*m)*(10*m**2 - 2*m**2 + 4*m**2 + 3*m**2 + m**2 + 0*m**2 + (-6*m + 4*m + m)*(-m + 4*m - 4*m)).\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -50\/9 (c) -111401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 + 1103?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 78409.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.1 + 3.1. Let q = -16 - z. Suppose 0 = i - 2 - 1. What is the nearest to 1\/2 in -3, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -305bc?\nAnswer: 305c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 536530, 1073055, 1609580, 2146105, 2682630, 3219155?\n\"Answer: 536525*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, 1, 4 in decreasing order.\nAnswer: 24, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.8. Let i = 177.98 - 182. Let v = i - -0.02. Which is the fourth biggest value? (a) 2 (b) v (c) 5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1611.12 to the nearest 10.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgiitgggffgiwiwiigi. What is prob of picking 1 t and 1 i?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**8\/6720 + w**7\/840 - w**5\/40 - 10*w**4\/3 + 4*w**2 - w. Let f(i) be the second derivative of u(i). Give f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l**4 - l)*(1 - 3 + 3)*(-16 + 16 + 19).\nAnswer: 19*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times 0.007?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 3*y**4 - 11*y**3\/3 + 1613. Let c(o) be the second derivative of o**5\/20 - o**4\/12 + o. Determine -22*c(f) + 2*t(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.2 and 0.0938?\nAnswer: 7.1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (101760\/(-265))\/(-192)*(-34)\/(-1*2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.96239 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 30\/(-9))*-1. Let f = 0.14 + -0.05. Let v = 0.09 - f. What is the nearest to v in -1, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 21?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = -12. Suppose v + 0 = w. Let t(x) = -2*x + 7. Let f be t(-6). Solve 3 = -n + p, -3*n + v + f = 5*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/22 + -3\/11. Which is the closest to -1? (a) p (b) 1\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0888 - -0.0112. Which is the nearest to 4? (a) 0.5 (b) g (c) 7\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 21, -3 in ascending order.\nAnswer: -3, -1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6148 = 1939 - 4311. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112.7 - -113. Which is the nearest to -3\/10? (a) -2\/3 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/4 + 180*l**3 + 2865*l**2\/4 + 355*l\/2 - 1074 = 0.\nAnswer: -716, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42742291 and 0.2.\nAnswer: 8548458.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -35*v. Let c be (2\/3)\/((-2)\/3). Let j(b) = -b. Let t(a) = 2608*a + 23514. Let f be t(-9). Determine c*h(r) + f*j(r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303566.\nAnswer: 2, 293, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**2 + 6*d - 4. Let k(w) = -20*w**2 - 18*w + 11. Let r(s) = -17*b(s) - 6*k(s). What are the prime factors of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 93390.\nAnswer: 186780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 782000\/35 + (-7)\/(-49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -0.8. Let c = 45 + -25. Let j = c - 27. Sort j, 2, u in decreasing order.\nAnswer: 2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48693 is divided by 48316.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -142 + 3*w - 282 - 796 + 15 as r*w + n and give n.\nAnswer: -1205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 0, 3*s + s = -4*y - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 84\/35)*(-5)\/2. What is the hundreds digit of (-4)\/2 + 132 - (q + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 10:36 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*o - 4, -4 = r - 5*o - 21. Differentiate a**4 - 1 + r*a**4 + 4 + 0 with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4*4)*(-24)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1834 + 4.\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.35 times 0.5\nAnswer: 0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l**3 - l**2 + l + 1. Let k be q(2). Suppose -5*o = -5*g - k, -3*g - o = -2*g + 11. Let m = g - -17. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3186 and 0.9.\nAnswer: 0.28674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, i: 3, c: 2, e: 1, y: 4, x: 2}. Give prob of picking 1 c and 3 o.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 2.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*sqrt(130) - sqrt(130)))\/(sqrt(160)*1).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 84850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3043021422031 + -10?\nAnswer: 3043021422021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x - 240. What is the units digit of (3\/(-4))\/(2\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43691.8+28549\nAnswer: 72240.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24343751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i. Let f(c) be the second derivative of -1\/6*c**3 + 73*c - 2*c**2 + 2. Give f(q(n)).\nAnswer: 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11*(i*i\/(i*i**(-2\/85)))\/i*(i\/(((i\/(i**(2\/11)\/i)*i)\/i)\/i))\/(i*i*i**(-29)) assuming i is positive.\nAnswer: i**(35722\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -51\/2. Let t = -5.24 + 8.24. Which is the second biggest value? (a) -0.1 (b) -0.4 (c) p (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 28056936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 151*h + 2259. Determine i(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136713*m = -136709*m + 4*l, 0 = 5*m - 3*l - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r - 10. Let p = -20 + 13. Let k be s(p). Let h = -0.05 - -3.05. Is h < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6205.6 + 6206. What is the biggest value in -3, 0.1906, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*x - 52*x - 47*x - 20*x**2.\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 11*g - 8. List the prime factors of k(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**6\/24 + s**5 - 45*s**4\/2 + 5*s**2 - 311*s. Factor r(m).\nAnswer: 5*m*(m - 6)*(m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139262 is divided by 151.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/11? (a) -2 (b) -2.19 (c) -4 (d) -20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvwv when four letters picked without replacement from {c: 5, v: 3, l: 4, w: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 - 3.93. Let k(l) = 944*l - 50029. Let y be k(53). Sort y, x, -10, -2 in decreasing order.\nAnswer: y, -2, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 1\/2, 0.14, -1.6?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 3 + (5 - 5). Suppose l*d - d = 6. Factor 5*a - 2*a**3 + 3*a**3 - a**d - 3*a**3 + 0*a - 2.\nAnswer: -(a - 1)*(a + 2)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/187629 and 19\/14716.\nAnswer: 750516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 500, 1386, 2862, 4928, 7584?\n\"Answer: 295*x**2 + x + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -151920, -303844, -455768, -607692?\n\"Answer: -151924*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(125)*3*4 - (sqrt(45)\/(sqrt(9) - (sqrt(9) + (3*sqrt(9) - sqrt(9)))) + sqrt(320)*-3))**2 + 0.\nAnswer: 142805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:17 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -664, -1328, -1992, -2656?\n\"Answer: -664*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*d + 855, 23*u - 3*d = 22*u - 831. Let c = 82 - u. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009738 rounded to 4 decimal places?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**6\/120 + t**4\/8 + t**3\/3 + 9*t**2. Let g be p(0). Solve 0*b = -g*b - 3*j - 1, 3*b = -3*j - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006267 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1853, 4, 27, -5, -3 in descending order.\nAnswer: 1853, 27, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1441 and -1555.\nAnswer: -2240755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c**3 + 7*c + 7. Let b(t) = -15*t**3 + 6*t + 6. Calculate 7*b(r) - 6*s(r).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 68*a + 581. Determine n(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250416 is divided by 6259?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97.1351 - 0.2351. Round v to 0 dps.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 119870, 239747, 359662, 479633, 599678, 719815?\n\"Answer: 3*z**3 + z**2 + 119853*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -262 - -376. Suppose 10*t - d = 16. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257017991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(((-18)\/(-4))\/(-3)). Let k(s) = s**2 - 3. Let a(g) = g**2 + g - 4. Let u(t) = y*k(t) + 3*a(t). What is the second derivative of u(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -80 and -80 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133.11 - -247209302.\nAnswer: 247209168.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103800 - 103868. Suppose 0 = -y - 14 - 53. Which is greater: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21462, 43723, 66780, 90633, 115282?\nAnswer: 140727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 301, 466, 571, 544, 313?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2593 = -21*z + 2593 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 48963 and 48963 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -101, -194, -293, -380, -437?\n\"Answer: 3*o**3 - 30*o**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 425\/100 - (-6)\/(48\/(-10)). Solve 6*t - 4 = 5*t, -4*q + b*t - 24 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l + 26. Let o(s) = 6*s + 9. Determine 2*m(z) - 7*o(z).\nAnswer: -2*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 9*h - 45. Let p be 15*35\/45 + 19*(-29)\/(-1653). Solve 9*d = p*d - h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 4*h**2 + 0 + 7\/60*h**5 + 1\/12*h**4 + 0*h - 1\/2*h**3. What is the units digit of a(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8.3. Let p = 13 - 27\/2. Which is the nearest to p? (a) q (b) -0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, m: 4, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33351 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: Add 0.2162 and 5.\nAnswer: 5.2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 861747.4 nanograms?\nAnswer: 0.0000000008617474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -47*r**2. Let g(u) = 2*u**2. Calculate c(g(o)).\nAnswer: -188*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 1. Let x(h) = -6*h + 5. Let c be (1\/4*2)\/(3666\/156 - 24). Determine c*x(k) - 3*v(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -3 + 0*f**3 + 0*f**2 + 1\/18*f**6 + 0*f + 0*f**5 + 0*f**4. Find i such that c(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*k - 2*s, -2*s + 20 = 225*k - 222*k. Let z(a) = 7*a - 34. Give z(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 5*d + 64. Let a(o) = -4*o**2 - 4*o - 64. Calculate -2*a(m) - 3*z(m).\nAnswer: 2*m**2 - 7*m - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(19*v + 2*v**4 - 19*v + 2*v**3 - 2*v**5 + 0*v**5 + v**5 + v**5 + (1 + 0 - 3)*(5*v**4 - 2*v**5 - 5*v**4) - 7*v**5 + v**4 - v**4).\nAnswer: 9*v**5 - 6*v**4 - 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 7242.\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 120 = 2*t. Let k be (-10)\/35 + t\/7. Is 22*1\/(k\/(-9)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*v - 390, 607 = 4*j - 3*v - 176. Suppose 28*a = 6*a + j. Solve 10 = 5*z, 0*r - r = -3*z + a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1385 - -9696\/7. What is the nearest to t in -3\/4, -3, -2\/19, -2\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13\/4*q - 1\/6*q**2 + 1\/12*q**3 - 6 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 l when three letters picked without replacement from {l: 13, m: 6}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3 + 14 + 46*l - 63*l + 1. Determine d(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 3. Let j(c) = -1. Let o(p) = 5*i(p) - 15*j(p). Let x(k) = -k + 4*k + 0*k + 0*k. What is x(o(q))?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260 - -264. Let k = 0 + 2. Solve -v*m - 2*y = -24, -3*m + k*y + 0 = -11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 344\/14*7 - -12. Which is smaller: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27235270, 27235278, 27235286, 27235294, 27235302, 27235310?\nAnswer: 27235318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(6\/2))\/(30\/(-180))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 3*p**2 - p. Let r(i) = -i + 3. Let s(n) = -2*n + 5. Let d(f) = -5*r(f) + 3*s(f). Let a be d(-2). Let m be x(a). Solve -6*y = -m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-2)\/3) - 1. Let z be y\/6*(-15)\/10. What is the third biggest value in -2, 1, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10*h = -40. What is the units digit of 0 - h - (6*918)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3220 (base 9) to base 12.\nAnswer: -1453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (11 - (-1 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144648 is divided by 7230?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10) + -10)*356\/(-89)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-441)\/(-91) + -5 - 42\/(-104). What is the nearest to r in 4, -1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 4}. What is prob of sequence exx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 6, x: 2, t: 3}. Give prob of picking 1 r, 1 x, and 1 t.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11160 or 11163?\nAnswer: 11163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 961729 at least 961711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34131546 (base 8) to base 15\nAnswer: -9ad673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)*(-230)\/10. Suppose 5693 + 1874 = q*c. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 - 22. Let z(k) = 2*k**2 - k - 1. Let w(n) = -v(n) + 3*z(n). List the prime factors of w(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, 0 = -4*q - 4*h + h + 2956. Suppose -6*o - 211 = -q. Let j = -45 + o. List the prime factors of j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2045, -2030, -1989, -1910, -1781, -1590?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1008)\/(-560))\/((-36)\/(-8))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/10*(-1 + 1). Let v = 1 - 6. Put u, 4, v in decreasing order.\nAnswer: 4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 971 + -976. What is the third smallest value in z, -3, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75822348 a multiple of 543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16139*c**2 + 16139*c**2 - 7*c**3 - 32277*c**2 - c + 2 + 0*c**3 + 3*c**3 - 4*c**3 + (c**2 - 2*c**3 - c**2)*(-2 + 3 + 0) + 2*c**3 + 2 - 2.\nAnswer: -8*c**3 + c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - (-4 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -4*u**2 - 1. Let s(g) = -45 + 45 + g**2. Calculate z(s(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 541 + -264. Let z be 4\/16 + m\/(-4). Let f = z - -74. Solve 2*t + 0 + 9 = -n, -f*n - 17 = 3*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998782731?\nAnswer: 3, 4110217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*m**3 - 2 - 5 - 11*m**2 + 7*m**2 + 11*m**2 wrt m.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -229 - -237. What is the greatest common factor of t and 756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5 - 11*v**4 - 46*v**3 - 92*v**2 - 88*v - 32 = 0. Calculate v.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/12 - 5*i**3\/6 - i**2\/2 + i. Let a be j(-3). Suppose -5*p + 4*c = -7, -a*p + c = -5 - 8. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 12) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - a**2 - 5*a - 5 + 10. Let g = -5 + 10. Suppose 4*z - 26 = 5*n, -3*z = 3*n + 26 - g. Determine v(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(-8)*g*g*g)*g**(7\/4)*g**(-11)*g\/(g\/(g*g*g\/((g*g**(-12))\/g))))**(-1\/96))**(2\/3) assuming g is positive.\nAnswer: g**(-17\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -245154 times -0.16\nAnswer: 39224.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385b84 (base 13) to base 10.\nAnswer: 1355319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51846 + 51846 - 170*u to n*u + b and give n.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2499 is divided by 166.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let n be t(3). Suppose -42 = -2*u - 5*b, 37*b = -2*u + 42*b - 18. Calculate the lowest common multiple of u and 2\/n + 128\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34334 >= 68669\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + 5)*(8 + 3). Let m = 1211\/10 - h. Factor -1\/10*g**3 + 1\/5*g**2 - m*g + 0.\nAnswer: -g*(g - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19178090 - 3004?\nAnswer: -19181094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 + 5*w**3\/3 + 3*w**2 + 4*w + 2. Let i be s(6). Solve 15 = -9*o + i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 + 2*o + 1. Let i(a) = 3*a**3 - 4*a**2 + 4*a + 43. Let u(q) = -i(q) + 2*x(q). Differentiate u(j) wrt j.\nAnswer: -3*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 48, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/630 + l**4\/12 + 3*l**2. Let n(w) be the second derivative of p(w). Let d(y) = y**2. Calculate n(d(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 12. Let j be z(6). Suppose -2*y + j*y = 0. Let q be -25*(14\/10)\/7. Sort y, q, -3.\nAnswer: q, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -162. Let n = d - -60. Solve 3*v + n = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2688) - -2*sqrt(2688)) - sqrt(2688) - ((-4*sqrt(2688)*2 - sqrt(2688) - sqrt(2688)) + sqrt(2688)))\/(4*(-2*sqrt(12))\/sqrt(2)*-2).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24*((-5775)\/(-616))\/25\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 3:40 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 116\/36 + -1. Is u at least -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*z + l - 16, -z - 14 = 3*l. Let q(i) = i**2 + 8*i + 1. Let o be q(z). What is the greatest common factor of 8 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 16 = -3*i + 2*s, -10965*i - 4*s = -10964*i + 116 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 103*k - 49. Let x be w(51). What is the greatest common factor of 7 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/336 and -13\/1752?\nAnswer: 24528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6127, 6127, 6121, 6103, 6067?\n\"Answer: -o**3 + 3*o**2 - 2*o + 6127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/7, 2\/9, -2, 15 in ascending order.\nAnswer: -2, -2\/7, 2\/13, 2\/9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 221*l - 214*l - 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l**2 + 53*l - 3. Determine w(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 150 = -15. Let p = -10654 - -10729. Calculate the highest common factor of c and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from vvvujivvvitvjtvue.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 4*d - 1. Let y be r(-5). Let q be (-74)\/(2*(-5 + y)). Let g = -32 + q. Which is the third biggest value? (a) g (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, 0.03, 3, -2\/9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-798)\/90)\/7 - (-6)\/9.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -203419, -407654, -611889, -816124?\n\"Answer: -204235*f + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(76) + -1)**2*-4.\nAnswer: -340 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Find the second derivative of k*u**2 - 4308721*k*u - 718849*u**2 - 2*u wrt u.\nAnswer: 2*k - 1437698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 609915797 a multiple of 5304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53507, 53501, 53495, 53489, 53483?\nAnswer: 53477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Suppose -k*r - 5*c + 305 = 2*r, 5*r - 321 = -c. What is the greatest common divisor of r and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 9*n**2 + 10*n + 18. Let l be x(-8). Solve z - h - 3 = 0, -3*h + l = -5*z + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6*3*0. Suppose 2*w + 0*w - 30 = -2*t, c = -2*w + 5*t - 5. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22001002 (base 3) to base 9\nAnswer: 8032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 4*n**2 + n - 1. Let b be m(3). Let l = 12 + b. Suppose 2*q + 12 = -l*d, 6*q + 4*d = 3*q - 4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Let p(v) = -2*v - 1. Let g(w) = -5*f(w) - p(w). Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (4 - (11 + -1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 488872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 39*z = 40*z + 52, 0 = 2*f - z - 28 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -4.38771 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 5*i + 1. Let x be v(4). Calculate the remainder when 40 is divided by (-2 - -3)\/(x\/(-63)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 6) in base 3?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)*c*c*c*c**(-1\/7))**24 assuming c is positive.\nAnswer: c**(2568\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 12. Let y be j(-9). Suppose y*a - 81 = -0*a. What is the highest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (9 - 3) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-482 + 946 - 15*b - 478)*(-9 - 2 + 2)*(4 - 8 - 5)*(b**2 - 3 + 3) to the form n*b + c*b**3 + q + l*b**2 and give l.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 146*u + 292. Determine y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 29\/5) + 184\/280. Let d = -56 + 64. Which is the smallest value? (a) -2 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 52*w**2 + 1567*w - 3334. Give p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, 0.1, -1\/10, -0.14 in ascending order.\nAnswer: -0.14, -1\/10, 0.1, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -2 + -15 - (1 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15*j - 61. Let w(y) = y. What is q(w(t))?\nAnswer: -15*t - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 24 + a**3 - 24.\nAnswer: a**3 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417*f - 12214*f + 18575 - 4724*f - 18575.\nAnswer: -18355*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -55) + (-4)\/(-12) + 44\/3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 320 - 626 - 4*z**2 + 4*z + 10*z**2 + 321 to the form r*z + k + v*z**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19357 rounded to 3 dps?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 41 - 11 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263205?\nAnswer: 5, 252641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u. Let k(o) = -6*o**2 - 6*o - 10. Let v(w) = -w**2 - 1. Let q(g) = k(g) - 10*v(g). Let x(f) = -6*m(f) + q(f). Factor x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - q + 317 = 2*u, -4*q = 2*u - 116. Calculate the remainder when 767 is divided by u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:57 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f**6 + 1\/6*f**3 + 0*f + f**2 + 0*f**4 + 0 + 0*f**5 - 2\/105*f**7. What is the derivative of v(u) wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8570*a*y - 3602*y - 2 wrt a?\nAnswer: 8570*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/((m\/m**(11\/3))\/m)*m*m**5*m\/(m*m\/m**(-14)*m)*m*m**(-12\/5) assuming m is positive.\nAnswer: m**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888158 greater than or equal to 5888158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10122 + -78426152?\nAnswer: -78426152.10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 43. What is the remainder when 697\/4 + (-1 - (-3)\/4) is divided by z(-29)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let q be (-16 - -15)\/((-1)\/(-1)). Let i(f) be the second derivative of -f**3\/2 - 2*f. Let p(g) = g. Let y(x) = q*i(x) - 6*p(x). What is y(o(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 78. What is the highest common factor of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1851*n = 1821*n + 15990. What is the greatest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1079*n**4 + 2426*n**4 - 958*n**4)*(-1 + 3 + 0)*(0 - 3 + 4)*(-3 - 3 + 5).\nAnswer: -778*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001890357084 rounded to seven decimal places?\nAnswer: 0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7326.316 nanometers?\nAnswer: 7.326316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259 + -136. Let t(h) = h**3 - 122 + i + h - 3*h + h. Let m be 1\/(-1)*(2 + -1). Let p(s) = -4*s**3 + s - 5. Calculate m*p(u) - 3*t(u).\nAnswer: u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -185. Let t = 81 - h. Suppose -c + 43 = -t. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d + 12. Let a be (3 - -1)*d\/8. Let h(z) = 2*z**2 + 5*z + 4. Let i be h(a). Solve 4*q - i - 5 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 75 - 115. Let g(v) = -5*v**3 + 3*v**2 - 2*v - 1. Let f(w) = -6*w**3 + 4*w**2 - 3*w - 1. Give x*g(n) + 3*f(n).\nAnswer: 2*n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(527\/272)\/((-4)\/(-64))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + d + 215 = -379, 3*d = 2*q - 302. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - 1) + (-7 - -10). Is -10 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 7*v - 46, v - 24 = -3*m - 36 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.54406.\nAnswer: -0.217624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9344.357 rounded to the nearest one hundred?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:40 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, -0.49, 0.2, -0.4, -62\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w + 5*m + 89195, 35681 = -2*w + m. Let f = w + 392549\/22. Find the common denominator of (13\/10)\/(8\/15) and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14257, -14258, -14259, -14260?\nAnswer: -14261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/459 and 76\/51.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1948 = -c, -3*d + c = -d - 3884. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(4\/(-76))\/(1\/(-1)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*s - 26, -3*d + 0*d = -5*s - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 + 5298*b\/11 - 21224\/11.\nAnswer: 2*(b - 4)*(b + 2653)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-16) - (-2)\/(-8). Suppose o + 3*y + 6 = 0, -2*y - 1 - 3 = 0. Solve o = 4*n - 5*n - b + x, b + 4 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {h: 3, o: 1, a: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 = -3*u - 58, -y + 5*u = 31. Let w = -1277\/36 + 133\/4. Calculate the common denominator of w and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(4400) + 3 + -1*sqrt(4400) - (-3 + sqrt(4400) + -2)).\nAnswer: -20*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -62. Suppose 10 = s*q, 2*q = -j - 0*q + 12. Solve -j*g - 5*d + 15 = 3*g, -5*g - 5 = d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.6 + -2.79. Let h = k + -3.31. Which is the third smallest value? (a) -8\/9 (b) 0.5 (c) h (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 26*o + 26061 = 0. What is the remainder when o is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 742, 5, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -434 - 48?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 85*m**2. Let u(z) be the first derivative of -z**5\/60 - 13*z**2 + 216. Let q(c) be the second derivative of u(c). What is o(q(k))?\nAnswer: 85*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1418 + -1413. Suppose -2*u - 5*t = -90 + 62, -2*u = -k*t + 12. Suppose -3\/2*j**2 + 3*j - 15\/2*j**3 + 0 - 3*j**u = 0. What is j?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1292)\/24)\/(-17) + -1 + 2. Sort -1, p, 3.\nAnswer: -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 14. Let x(f) = 1. Let s(r) = -j(r) - 5*x(r). Let m be s(-7). Calculate the greatest common divisor of m and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. Let a(o) = -5*o + p*o + o + o. Let z(w) be the first derivative of 5*w**3\/3 + 31. Give z(a(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r + 964 - 100 = 0. What is the highest common factor of 256 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 440 - 455. Put 34, n, -1\/5 in decreasing order.\nAnswer: 34, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqfv when four letters picked without replacement from {f: 2, v: 1, q: 3, d: 1, i: 3}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(sqrt(200) - (2*sqrt(200) - sqrt(200))) + 5 + (-1*sqrt(200)*-5 - sqrt(200) - sqrt(200)) + 2*sqrt(200)*6)**2 + 0.\nAnswer: 1500*sqrt(2) + 45025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-102)\/136)\/(2\/(7 + 1)). Let x = 15 + c. Solve -x = d - 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 - 8.5. Let p = u - -3.5. Which is the closest to 0.1? (a) -0.5 (b) p (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*x - 2*h - 2*h - 15, 16*x = -2*h + 13 - 19 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*w - 25*w**2 - 286*w**3 - 296*w**3 + 587*w**3.\nAnswer: 5*w*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43\/72 - 3\/8. Factor -4\/9*q**3 + 2\/9*q - 4\/9*q**2 + h + 2\/9*q**5 + 2\/9*q**4.\nAnswer: 2*(q - 1)**2*(q + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*c + 18 + 14, c + 2 = -4*p. List the prime factors of (c\/(-4))\/(3\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1958 + -15713\/8. Let c(d) = -d**3 + 6*d**2 - 2*d + 7. Let q be c(6). Calculate the common denominator of -4 + (-2 - 12\/q) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Suppose j = -u - 0*u - 4, 3*u = -r*j - 7. Suppose -2*v = -0*v + 8. Which is the nearest to u? (a) 1\/4 (b) 4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 0 (c) 5 (d) -1 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1701 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lljd when four letters picked without replacement from {j: 6, q: 3, l: 5, d: 3}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -9*j - 3*j. Let s(r) = r**2 + 2*r + 3. Let x be 7\/28 - 17\/4. Let i be s(x). Calculate the highest common factor of i and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5196703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(117)*-3 + sqrt(117)))\/((sqrt(9) - 3*sqrt(9))*6))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*u - 8103839 = -183*u. What are the prime factors of u?\nAnswer: 139, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 15*n - 145. Let i be v(-5). Sort -3, -2\/7, 3\/2, -1, i in descending order.\nAnswer: i, 3\/2, -2\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1548, 0, 9, -4, -1182 in descending order.\nAnswer: 9, 3, 1, 0, -4, -1182, -1548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y + 6. Let m = y - 0. Is 16 a factor of 63\/m + 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -810*a - 760. Is 59 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + v. Let h(z) = 2*z**2 + z. Let q = -529 - -525. Let w be 2\/2 - (-1 - 1). Give q*h(d) + w*l(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 155 = -p. Let b = -38 + p. List the prime factors of (-260)\/28*-11 + 1\/b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t - 74 = 292 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 607 - 332. Suppose -2*l + 19 = 5. Suppose 5*g = q, -4*q - 3*g = -l*g - 80. Calculate the greatest common divisor of q and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19802 rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.2. Sort y, -2, 0.4, -0.3.\nAnswer: -2, y, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 177684637?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3810 and 191100?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from sssdds.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 27)*(3 - v**3 - 4 + 0)*(3*v - 3*v - 3*v**2) - v**5 + 2*v**5 + 0*v**5.\nAnswer: -89*v**5 - 90*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 + 16 - 12)*(3 - 3 - 2*x) + x + 5*x - 3*x as o + c*x and give c.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4339 at most -4337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -15, -55, -119, -201, -295?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*k**3 + 28*k**2 - 3380\/3 + 52*k = 0 for k.\nAnswer: -13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1268)\/(-10) + 11\/55. Let a = y - 38. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-33)\/(-12)) + 6\/(-60)*10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730387261.\nAnswer: 1730387261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*d + 14 = -b, 11*d - 9*d = 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1830910 divided by -915455\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22005580 + 22005580 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -1) + (48 + (-8 - 19) - 49) + 119.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -24*s - 167. Let m be h(-7). Suppose 62 = -5*d - 43. Is (2801 - d)\/(2*m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2235*w**2 + 2252*w**2 - 4486*w**2 + 131*w.\nAnswer: w**2 + 131*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43561121 (base 7) to base 12.\nAnswer: -130797b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (128\/60)\/(2712\/1130)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgx when three letters picked without replacement from {g: 2, z: 5, x: 5, j: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3475, 6950, 10427, 13906, 17387, 20870, 24355?\nAnswer: 27842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p - 426 = 601 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -1091, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-516)\/(-10))\/(26\/65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*p + 608, -181 = 4*m - 3*p - 1411. Let z be 36\/(-17) - (-36)\/m. What is the nearest to 2\/3 in z, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 15*l - w, -3*w - 2517 = 3*l - 2532 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2*4\/(-40))\/((-4)\/20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w. Let t(h) = -1979 - 4*h + 1979. Give j(t(d)).\nAnswer: -100*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 283*x**2. Let m(g) = g + 4*g + g - 4*g. Give l(m(p)).\nAnswer: 1132*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - -2 - (-6 - -8)) + -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/33 - 1\/3. Suppose 6*b + 106 - 112 = 0. Is b at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35538452\/11 or 3230768?\nAnswer: 3230768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 5, j: 2, a: 10, e: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 1 - 3*z + 2*z - 4*z**2. Let j be (-2156)\/49 + 20 - -27. Let u(x) = 4*x**3 - 2*x**2 - 3*x - 3. Calculate j*y(r) - u(r).\nAnswer: -4*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 2. Let k(u) = -7*u - 2. Let a(o) = 3*o + 1. Let d(l) = -5*a(l) - 2*k(l). Give b(x) + 3*d(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8896564 is divided by 1258?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -10. Suppose -4*o + 34 + 42 = k. Suppose 5*l = 10, 2*h + 3*l - o - 15 = 0. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 - 22*i + 35. Give t(4).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*a - 446 = 0, -4*a = -2*w + 175 + 247. Suppose -2*t = 4, 0 = y + 2*t - w + 46. Suppose -y = -2*d - 9. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k + 7, -4*u + 602 = -2*k. Is u a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32, 64, 96?\n\"Answer: 32*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1013696388 by -253424097.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**12\/c**(-10\/9) assuming c is positive.\nAnswer: c**(118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4150\/71 at least as big as -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*g*x**4 + 20546*g*x**2 + 71*g - 8*x**5 + 925*x**3 + 4*x wrt x?\nAnswer: -2712*g*x - 480*x**2 + 5550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 532 = -155. Let o = h - 1335\/2. Calculate the common denominator of (-1)\/(-1)*3\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let w(m) = m + 12. Suppose 0 = 3*x + 5*t + 16, 5*x - 8 = -5*t - 28. Let z(d) = d + 12. Let p(y) = x*w(y) + 3*z(y). What is s(p(j))?\nAnswer: j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20879917831\/15020 - -1390141. Find the common denominator of d and 75\/14.\nAnswer: 105140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261849128 a multiple of 1864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 8\/9*j**2 - 4\/45*j**5 + 4\/9*j**3 - 16\/9*j - 27 - 2\/9*j**4. Factor u(s).\nAnswer: -4*(s - 1)**2*(s + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.1, 4, 3\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 106, 107, 108, 109, 110?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + y**2 + 26*y - 27. Let j(q) = -6*q - 146. Let s be j(-26). Is t(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from {w: 3, h: 2, o: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 31 - 5*n**2 + 3*n**2 + 3*n**2 + 4*n. Let c(l) = -7 - 60*l**2 + 70 + 62*l**2 + 7*l. Let z(j) = 6*c(j) - 13*g(j). Factor z(s).\nAnswer: -(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242*f**3*i - 4548*f**3*p**2 + 55*f**2*i*p - 3*f**2 - 1592*f*i*p + 5*f*p**2 wrt f?\nAnswer: 1452*i - 27288*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - 5. Let o(t) = -t**2 + t + 1. Suppose 2*z = -5*v + 27 - 5, -4*z + 2*v - 4 = 0. Let h(r) = z*g(r) + o(r). Determine w so that h(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 - 7*i. Let b(z) = -2*z**3 + z + 0*z**2 - z**2 - 3*z**3. Let f be b(1). What is n(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1959 (base 10) to base 2\nAnswer: -11110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -2*d**3\/3 + d**2 + 2*d. Let c be i(-4). Find the second derivative of o**3 + 16*o - 4*o**3 - c*o wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) 2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30187725.\nAnswer: 3, 5, 402503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -97529 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59415.11l in millilitres?\nAnswer: 59415110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 5401\/1010 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 0*x + x - 2*x**2. Let z(n) = -n**3 - 6*n**2 + 9*n - 2. Let q = 1 - 7. Let v(w) = q*l(w) + z(w). Factor v(h).\nAnswer: -(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(3\/4)*n\/(n\/(n\/((n\/n**(-8\/5))\/n))))\/(n**(-1\/3))**23)**(-10) assuming n is positive.\nAnswer: n**(-439\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -1\/12*i**4 - 1\/60*i**5 + 0*i**3 + 0*i - 4*i**2 + 0. Let n be f(-2). Let r(t) = t**3 - t - 13. Calculate r(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 15. Let r(c) = c - 4. Let m(z) = 4*l(z) - 15*r(z). Let k(y) = 8*y**2. Give m(k(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5846?\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670824?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/639 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 19 = -23*l. Suppose 3*z - u = -7, 0 = 4*z - z + u - 1. Let g = z + 11. Calculate the remainder when g is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 48 = -27*t. Let m be (-8)\/t + 192\/18. Let l be ((-6)\/4)\/((-3)\/m). Solve -v + 0 = l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42561, -85122, -127683, -170244, -212805?\nAnswer: -255366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 6.8 (c) -166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761504 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - o)*(o**2 - 2 + 2) - 3*o**2 - 2*o**3 + 3*o**2 + 0*o**3 + 0*o**3 + 4*o**3 - 19*o**3 + 2*o**2 - 2*o**2.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 685084320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/14 - 29\/(-35). Let g(d) be the first derivative of -n*d - 2\/15*d**3 + 2\/5*d**2 - 1. Find i such that g(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:15 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291.33 - -0.83. Let l = t - -346. Round l to 0 dps.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -1 - 23*4. Let v be i\/(-12)*(-4)\/(-5). Let m(l) = l**3 + l**2 + l - 1. Let w(b) = -7*b**3 - 6*b**2 - 6*b + 6. Determine v*m(f) + w(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 559188.\nAnswer: 4473504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 + -139. Find the first derivative of 79 - 46*z + p - 3*z + 108 wrt z.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-273)\/182)\/((-9)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 329882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1883 = -2*x, 2*v = -2*x + 6*x + 1242. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16659918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-558)\/(-36) + 21\/(-6). Suppose -18*u - 32 = -20*u - 4*l, -s = -4*l. Calculate the smallest common multiple of 85 and u.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 8*c**2 + 6*c + 8. Let t be n(7). Let z be ((-52)\/(-18))\/((-12)\/153). Let y = z - -37. Which is greater: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 8*k - 17. Let i be z(10). Suppose 5*v - 11760 = -0*v + i*c, 0 = 5*v - 4*c - 11760. Suppose 332 - v = -10*g. List the prime factors of g.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -85. Is i < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 22313*a - 4574155. What is l(205)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = j - 6*a - 97, 4*a + 269 = 3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 825 = -79*g + g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*h - 12, 0 = p - h - 0 + 2. Suppose b - 511 = s - p*s, -5*b + 2540 = -5*s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:43 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 873 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1) - (-4 + (-7 - 4987)). Calculate the highest common factor of j and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -158aa - -7?\nAnswer: -158a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let l(k) = -4*k - 38. Let a(c) = -l(c) + 3*u(c). What is the remainder when 79 is divided by a(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 1\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 72*t**2 - 64*t + 140. What is the lowest common multiple of f(71) and 11?\nAnswer: 7007","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 9*x + 12. Suppose s + 18 = -3*t, 2*t = 4*s - t + 12. Let a be q(s). Suppose 0 = -2*z + a + 14. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 18. Let g = 4 - 3. Let l = n - g. Sort -5, 0.1, l in ascending order.\nAnswer: -5, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8466824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3) + -1 - 12 - -2. Suppose j - u - 2*u = -16, 2*u = -3*j - 26. Is f < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:57 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*a**2 + 2)*(-2*a**2 - 3*a**2 + a**2)*(0*a + 0*a + a).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.9 + 12.2. What is the closest to -2\/7 in 1\/3, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1170.781 and -4.\nAnswer: -4683.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.6381 kilograms in milligrams?\nAnswer: 891638100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -297 - -772. Suppose -567 = 11*y - 74*y. Let j be 2\/y - i\/(-171). Solve 4*f + 3 = j*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 78 = -12*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -16. Suppose l - a*l + 120 = 0. Let m be (-3)\/2*l\/(-12). What is the second smallest value in m, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*q**2 - 42*q**2 - q - 26*q + 96*q**2 in the form s + u*q**2 + m*q and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d + 4. Which is the nearest to d? (a) 2\/5 (b) 0.06 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5 - 5)*(839 - 48 + 77) - 2*r - 5*r + 3*r.\nAnswer: -872*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -3. Let a(t) = 4*t**2 + 7. Let u(v) be the first derivative of -5*v**3\/3 - 8*v - 7. What is r*a(i) - 6*u(i)?\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvlllllllvllllvlllll. Give prob of sequence lvv.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-11)*104\/(-1248). Which is the biggest value? (a) 0.8 (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-112)\/(-7140))\/((-724)\/(-10)). Is k at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -207 + 165 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 869381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 - -65823?\nAnswer: 6585a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - b - o + 13 = 228, 6*b + o - 247 = 0 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15704*m**3 - 22437*m?\nAnswer: 94224*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 17 = 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*sqrt(18) + -1 + (sqrt(2)*2)**2 + -5.\nAnswer: -18*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -641.\nAnswer: -7\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41201 + -22521?\nAnswer: -64022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 2*z**2 + 3*z + 4. Suppose -4*s - 9 = -5*d - 22, 30 = -5*s - 3*d. What is j(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11. Let p(a) = 5. Let i(r) = 9*p(r) + 4*w(r). Let s(m) = 11*m + 2. What is 2*i(c) - s(c)?\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r. Let n(h) = 2*h**2 + 81*h. Calculate n(t(l)).\nAnswer: 8*l**2 - 162*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 2861*l**3 + 2030*l**3 - 21*l + 32*l.\nAnswer: 4891*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + m + 5 = 0, -3*s + 5*m - 3*m + 10 = 0. Let r = 274 + -23. Suppose 3*y - 4*w - r = s, w + 4*w = -3*y + 260. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = -4*s + 1, -3*s + 3*q = -6. Let p(a) = a**2 + 7*a - 18. Let o be p(-9). Suppose 15 + 5 = 4*i - u, o = 4*u - 16. Solve -s*c = i - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*((n*n\/n**(1\/26)*n)\/n)\/n)\/n)\/n*n*n**(-1\/4))\/(n*n**(-7)*n)**(8\/19) assuming n is positive.\nAnswer: n**(3771\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -4, 2, -1\/9, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 - 845538*p + 845541 = 0. What is p?\nAnswer: -281847, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -599.6 and 0.51.\nAnswer: -599.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 620281425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11636 (base 7) to base 5.\nAnswer: 44230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (8 - 21 - 2) - -64.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2\/13 (c) 0.011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 15532*h.\nAnswer: -4*h*(h - 3883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 12. Suppose -111 - 33 = -18*q. Determine l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f - 12 = 0. Let q(g) = g**3 + 7*g**2 + 8*g + 9. What is the remainder when q(-3) is divided by 1\/1*(f + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -14*l - 0*l. Let i be l*3 + (-14 - -7) + 4. Solve 3*y + 3*d + 18 = i, -4 = 4*y - d + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 0, 3*l - 5*l - 3*w = -13. Calculate the remainder when 113 is divided by 2 - ((l - 3) + -32).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 + 55*h**2 - 15*h**2 - 17*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-23)\/((-23)\/(-6)))\/((-3)\/1). Solve -v + 12 = -u*w, 12 = 2*v + 2*w - 3*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -32 - 59*a**3 + 58*a**3 - 9*a**2 + 5*a - 5*a**2 + a. What is the tens digit of j(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 164. What is the highest common divisor of z and 928?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e8 - 4c08?\nAnswer: -54f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -84*g + 324 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 9199339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {t: 1, a: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 21. Suppose 6 = -3*w + 6*w. Suppose w*t - 3*t = 2. Let f(n) = -5. Let z(g) = t*r(g) - 9*f(g). Find the first derivative of z(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-45) - (-10276)\/105. Let w = 38 + 29. Let m = s - w. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -3, -16, 2, -171 in decreasing order.\nAnswer: 5, 2, 1, -3, -16, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 44 = 3*o, 0*o = 4*o + 12. Let v = y - 7. Suppose -m + c + 14 = -0*c, v = -3*m + 5*c + 38. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6006, 12038, 18072, 24108, 30146, 36186?\nAnswer: 42228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2378 - -2442.66. Let t = v + -66. Round t to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:07 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -87\/4*x**4 + 0*x + 214 - 73*x**3 + 0*x**2. What is the third derivative of m(u) wrt u?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 39*f**3 - 38*f**3 - 7*f**4 + ((2 - 2 + f**2)*(2*f - 4 + 4) + 7*f**2 + 51*f**3 - 7*f**2)*(4*f + f - 6*f).\nAnswer: -58*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/32? (a) -1 (b) 2\/31 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 10*r**2 + 116*r + 7*r**2 - 115*r - 4*r**2.\nAnswer: 24*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2191, -2431, -707, 2981, 8633, 16249, 25829?\n\"Answer: 982*a**2 - 3186*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82385.\nAnswer: 5, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6806 is divided by 228.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 9*z**2 - 3*z + 3. Let v(k) = -2*k**3 - 17*k**2 - 5*k + 5. Determine -5*m(f) + 3*v(f).\nAnswer: -f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y**(5\/2)\/y)*y)\/y*y)\/y*y**(-3))\/((y*(y\/((y*y**(-2\/7)*y)\/y))\/y)\/y*y\/((((y**(-6)*y)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-151\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.3 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 - (2 + -4). Let g(k) = -214*k + 1. Let p(t) = -642*t + 5. Let b(x) = 11*g(x) - 4*p(x). Is b(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -285, 0, -3, 580 in decreasing order.\nAnswer: 580, 0, -3, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2837.8209 months in centuries?\nAnswer: 2.36485075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6758124*y**2 - 9885740 wrt y?\nAnswer: -13516248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31411, 39742, 48073, 56404, 64735, 73066?\n\"Answer: 8331*r + 23080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3858)\/(-14) - (-30)\/21 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3878548\/3 or 1292850?\nAnswer: 1292850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 9, 4, -5, -24\/13 in increasing order.\nAnswer: -5, -24\/13, 0.2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1154a + -b4?\nAnswer: -11642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 395*i - 400 = 0. What is i?\nAnswer: -80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1691.546 * -12\nAnswer: -20298.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y. Let v(w) = -7*w. Let l(x) = -10*d(x) - 6*v(x). Let s(t) = -4*t. Give l(s(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 460474.3 millilitres?\nAnswer: 460.4743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5406, -5411, -5416, -5421, -5426?\n\"Answer: -5*l - 5401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 29, 7, -7, 1 in descending order.\nAnswer: 29, 7, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -36*f. Let n(k) = 7*k**2 - 4. Let r(j) = 8*j**2 - 6. Let y(w) = -3*n(w) + 2*r(w). Calculate y(q(l)).\nAnswer: -6480*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = t - 5*t. Suppose 4*z - 2*g + 1546 = 0, -4*z - 4*g = 1186 + 390. Let v = z + 4294\/11. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -247 - -c2c0e?\nAnswer: c29b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/23)*a)**(10\/9)\/((a\/a**(-2\/7))\/a**(2\/61)))**(2\/31) assuming a is positive.\nAnswer: a**(-7990\/2740059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**5\/3 + 1115*o**4\/3 - 5690*o**3\/3 + 2320*o**2\/3 + 3040*o = 0.\nAnswer: -228, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*-8921.5.\nAnswer: 38362.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m + 1908*m**2 - 1 - 1908*m**2 + 6*m**3 to the form f*m + i*m**3 + j*m**2 + z and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/396)\/((-202)\/909).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 11102832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**10\/604800 - f**9\/34560 + f**8\/5376 - f**7\/2240 + f**5\/60 - 9*f**2. Let v(w) be the third derivative of b(w). Factor v(m).\nAnswer: m*(m - 3)**2*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/159652 and 1\/14488419.\nAnswer: 57953676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 + -4.03. Let u = m + -0.15. Let l = -3 - 0. Which is the third smallest value? (a) -2 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145 a factor of 76119615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - (4 - 2)) + -1. Suppose s - h - 6 = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -10. Let n = c + 11. Let r be 3 - (n + 0 + -1). Solve -2*q - r*q = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114*459\/133722)\/((-6)\/(-69))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -108 + 11?\nAnswer: -e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22628 - -32238. Round z to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/53706 and -67\/3944?\nAnswer: 105908232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11251 is divided by 4668?\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)*(n**(1\/5)\/n)\/n*n)**22*(n\/(n\/(n\/(n\/n**(-1)*n))))**(-7\/6)\/(n*(n**(-6)*n)\/n*n*n\/(n*((n\/(n\/n**5))\/n)\/n)*n) assuming n is positive.\nAnswer: n**(-637\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (813\/1626)\/(-1*1\/(-10)). Let x = -16 - -8. Let k = -5 - x. Sort b, -2, k, 4.\nAnswer: -2, k, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3752 + -6?\nAnswer: 3745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210997.\nAnswer: 41, 78317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*f - 719, -164*x - 4*f - 1213 = -159*x. Is -483\/2 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from caacaccccacaccaccc?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/37, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3 - 7*f + 15*f**2 + 5 + 6 + f**3 + 0. Is u(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 3) in base 14?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -45 + 25. Let g = 39 + -21. What is the smallest common multiple of g and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45073681*c**2 + 32*c**3 - 597*c**3 + 45073682*c**2.\nAnswer: -565*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0 + 6 - 2 + 4*f + 1. Let m be p(0). Suppose -2*s = -5*t - 179, -m*s + 4*t = 3*t - 390. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 10 = k, 4*j - 13 = k. Let h be (2 + (-6 - -3))*-22. Solve -2*d - h = -4*o, 4*d - j*o + 13 + 13 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -64 times -105.01\nAnswer: 6720.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:16 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*890\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/132)\/(13\/52*(-12)\/(-33)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-560)\/(-42)*(-189)\/84?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2020\/25)\/(0 - 8\/(-20)). Let s = x - 298. Are -96 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11969320 + 11969320 + 3*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1806089504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s - 8. Let n be u(2). Suppose -4*o - 22 = -p, -3*p - 2*o - n*o - 14 = 0. Solve -3*i + 10 = p*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 542672350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/12 + (3 - (-68046)\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30836*a**3*u**2 + 3*a**2*u**2 - 8*a**2*u + 34*a**2 wrt a?\nAnswer: 185016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5 + 10 - 5 + 0*y**2 - y**2 + y**4 - y - 2. Let w(v) = v**4 - 46*v**2 - 8*v - 6. Let u(c) = -3*j(c) + w(c). Find the second derivative of u(s) wrt s.\nAnswer: -24*s**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 32. Calculate the remainder when 42 is divided by (-4 - -5)*c\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m*m)**47*m**(-4)*m**(2\/13) assuming m is positive.\nAnswer: m**(1783\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97580386 * 1.\nAnswer: -97580386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/(-22))\/(6\/(-28)). Let r be (-1)\/(-7) + 21\/196 + 49530\/120. What is the greatest common factor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4108\/1639 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -164, -193, -196, -161, -76?\n\"Answer: 2*z**3 + z**2 - 46*z - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70, 148, 242, 358, 502, 680, 898, 1162?\n\"Answer: q**3 + 2*q**2 + 65*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -2\/9, -784, 58?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.007 (b) 0.12 (c) 5 (d) -83\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehk when three letters picked without replacement from {m: 1, y: 1, e: 1, k: 5, h: 1, q: 3}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (6\/(-3) - 3). Let u(b) = 4*b - 4. Let r be u(n). Let t be 3 - (r\/3 + -2). Put 4, 5, t in descending order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 - 9*b**2 + 18*b**2.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 78 (c) 113 (d) -0.5 (e) 0.2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((240\/(-16))\/1 - 29)*1\/(-20).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 2*s - 7914, -c = s - 3963. List the prime factors of c.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ce3c1 + -b?\nAnswer: 2ce3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/23 and 120846.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 41 = -59. Let l be (8\/5)\/(8\/y). Suppose 0 = -l*i + 4 - 0. Solve 0 = -4*g + i - 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 4:32 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzi when three letters picked without replacement from expzqexpipzezxx?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**5*w + 624*b**5 + 786*b**2 - b*w - 2*b + w - 6218 wrt b?\nAnswer: 140*b**3*w + 12480*b**3 + 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 18. Let p be l(10). Let u(g) = -14500*g**p - 17*g + 36*g - 16*g - 3. Let r be u(1). What is r rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(143) + (sqrt(143) - (sqrt(143) - sqrt(143)*3*3)) - sqrt(143))\/(sqrt(1100) + 3*sqrt(1100)).\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 89732*-0.1\nAnswer: -8973.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**5\/4 + 53*d**4 + 79*d**3\/4 - 53*d**2 - 21*d = 0?\nAnswer: -42, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2268 + 2263. Suppose 2*s + 10 = -4*u + 3*u, -3*s - 15 = 0. Which is the second smallest value? (a) 1\/18 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9422214 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50608 from -88.\nAnswer: 50520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8756*k + 32. Let v(z) = 4378*z - 13. Calculate 2*q(f) + 5*v(f).\nAnswer: 4378*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 349979 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4885 divided by 6\nAnswer: -4885\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*v**4 + v - 406 with respect to v.\nAnswer: 88*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11690238.\nAnswer: 2, 3, 7, 43, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353 - 1762\/5. Solve -h*b - 4\/5*b**2 + 1\/5 = 0 for b.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2247994*b**6 - 13*b**5 + 65116449*b**2 wrt b.\nAnswer: -269759280*b**3 - 780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**7\/420 + c**6\/80 - 2*c**5\/15 + 6*c**2. Let w(r) be the third derivative of x(r). Find the first derivative of w(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(-d + 1 - 1) + 5504*d - 2748*d - 122 - 2741*d to the form s + z*d and give s.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 d when four letters picked without replacement from {c: 1, e: 2, b: 2, h: 1, d: 2, t: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let k be (-100)\/(-8) - 330\/30. Which is the smallest value? (a) -1\/19 (b) k (c) h (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21955 - -21944. Put -1, -0.1, 0.01, h, -0.2 in increasing order.\nAnswer: h, -1, -0.2, -0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 29 = -19. Find the third derivative of -19*i**2 + 23*i**u - 45*i**2 - 40*i**2 + 164*i**5 - 16*i**2 wrt i.\nAnswer: 9840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7)*t)\/t)**(5\/7)\/((t**5*t)\/(t\/(t\/t**(-9)))) assuming t is positive.\nAnswer: t**(-710\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -11. What is the nearest to v in -2, 2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 10*y + 4635. Let u = y + -621\/2. Which is the smallest value? (a) 5 (b) 0.2 (c) 12 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 1, d: 1, s: 1, p: 1, o: 1}. Give prob of picking 1 r and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/16*-2 + 124\/32. Let j be 116*(-1 + 3 + -1). Suppose 0*a + j = b*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 2*u**2)*(-71*u + u - 5*u) + 4*u**3 + 9*u**2 - 9*u**2.\nAnswer: -146*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = k, 5*f = -5*k - 17 + 42. Suppose 0 = -28*v + k*v + 5472. Calculate the greatest common factor of 48 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - 2)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 4 + z + z + 2 to h + r*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 26. Calculate d(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(39\/((-39)\/(-2))). Let k(u) = -2*u**3 - 11*u**2 + 6*u - 8. What is k(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/300 + 7*q**4\/20 - 8*q**3\/3 + 86*q**2 - q. Factor r(v).\nAnswer: -(v - 40)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutt when four letters picked without replacement from {g: 1, t: 5, v: 1, s: 3, u: 2, c: 3}.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6960 times 1.2?\nAnswer: 8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8266*t - 190129. Give o(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + ((-768)\/20)\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s**2 + 0*s**2 - 2*s**3 + 13*s**2 + 33*s**2.\nAnswer: -2*s**3 + 78*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24085 times -0.4?\nAnswer: -0.09634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -648, -542, -394?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -383, -742, -1075, -1382, -1663?\n\"Answer: 13*v**2 - 398*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*w + 0*w + 222 = 0, 0 = 2*w. Let f = 278 + u. Calculate the greatest common factor of f and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*2*5\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115426032277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.4921 - -0.4921. Let j = -10 - -19. Let v be -2*(2 - j\/6). Which is the second biggest value? (a) x (b) 2\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624736 is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 13. Let z(c) = -2*c**2 + 3*c + 14. Determine -3*s(b) - 2*z(b).\nAnswer: b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 - 4*u + 4. Let f(h) = -h**2 - h + 1. Let s(a) = -5*f(a) + o(a). Let z be s(1). Is (-6 - -5)\/(z\/44) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*z = 25, z = -5*r - 0*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 6*g**2 - 3*g - 8*g**2 - 2 + 18*g**2. What are the prime factors of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7106047.\nAnswer: 13, 546619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -6*(sqrt(3) + 2)).\nAnswer: -12 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/12 - 11*u**3\/3 - 7*u**2. Let l be j(14). Sort l, -5, 1 in descending order.\nAnswer: l, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1))**(1\/18)*p*p**(-4)*p*p*p*p**(1\/3))**(13\/5) assuming p is positive.\nAnswer: p**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 45*s**3 + 3*s**2 - 150*s + 427. What is r(3)?\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15))**0\/(o*o*o*o*o**16*(o**7\/o)\/o) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w + 16. Let n be (1 - (-72)\/(-5)) + (-12)\/20. Let l(q) = q**2 + 16*q + 33. Let s be l(n). Let o(c) = 2*c - 4 + c + 5 + 4. Give s*f(y) - 16*o(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = 43*j - 205 - 466 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.0635 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24512 + 4*b + 24505 - 73587 + 24570.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-3)\/5*3\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 235 and 0.002.\nAnswer: 235.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -333, 2, 0, 1 in descending order.\nAnswer: 3, 2, 1, 0, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*l + 0*l + 14847 - 14883 = 0, -6 = 13*j - 4*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-5)*(-25)\/10. Suppose -3*j + 3*o + 121 = -o, a = -4*o. Does 35 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -625 + 630. Which is the nearest to 1? (a) d (b) 2\/13 (c) -4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263?\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 86*u - 2. Let n be o(-1). Let a = 247 + n. List the prime factors of a.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 10 = 0. Let n(l) = -3*l + 4. Let g be n(-7). Let i = 57\/2 - g. Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 10:33 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 346\/310 + 3\/(-5). Let t = q - -151\/248. Factor 3\/8 + 3\/4*m**2 - 3\/8*m**5 - 3\/4*m**3 + 9\/8*m - t*m**4.\nAnswer: -3*(m - 1)*(m + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71964 - -34358. Let g = -18406 - a. Let x be g*500\/(2 - 0). What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3562 (base 9) to base 8\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(509*s**2 - 13*s**2 + 202*s**2).\nAnswer: -698*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 6*r)*(2 + 3*r - 2 - 3 + (-r + 0*r + 0*r)*(6 - 6 + 21)).\nAnswer: -108*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 981 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.54 + -0.16. Let u = 2.7 + m. Let z = 157\/2 + -77. What is the closest to u in 2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 3*w**2 + 0*w**2)*(3 - 6 + 2)*(20*w**2 + 22*w**2 - 44*w**2).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)\/(-3 - (-33)\/12). Suppose 15 = s + p*s + 5*a, 2*s - 15 = -5*a. Suppose s = 76*d - 81*d + 810. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25524767?\nAnswer: 25524767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4493*f**2 - 17910*f + 10. What is l(4)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3 + 3)*((5 - 4 - 2)*(0*g + g - 2*g) + (-3 + 1 + 0)*(2*g - 4*g + 0*g)) + 13*g**3 - 16*g + 16*g + (-9*g**2 - 13*g**2 - 11*g**2)*(-5 + 5 - 2*g).\nAnswer: 69*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.1 (b) -525 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086548622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 55*s**2 - 28*s + 1. Calculate y(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - (-180 - -157) - 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.036?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 4, 3055, -0.5?\nAnswer: 3055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*(-2478)\/531. Let l(x) be the first derivative of -3\/2*x**2 + v + 1\/3*x**3 + 3*x. Calculate l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, d: 3, n: 7, y: 2}. What is prob of picking 1 d and 3 n?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40298339 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b884 + -5?\nAnswer: -1b889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 19) + 3 - 22.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (13 + -4 - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(343) - sqrt(343))*5 - (-2 + sqrt(343) + 3))**2.\nAnswer: 154*sqrt(7) + 41504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*x - 6, -3*x = -4*r - 7*x + 8. Let m(o) = 4*o**2 - 2*o + 2. Let w be m(r). Suppose w = 3*b + 2. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 2 + 17*o - 204*o**4 + 202*o**4 + o**2 - 3*o**2 - 3*o to z*o**2 + a*o + v + i*o**3 + f*o**4 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*g**3 - 306*g**3 - 65*g**3 - 119*g**3.\nAnswer: -243*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 980 and 46550.\nAnswer: 93100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 20 = 3*r. Suppose -10 = f + 3*w, 2*f - 14 = -f + 2*w. Suppose -o + f + 0 = 0. Put 5, r, o in ascending order.\nAnswer: r, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a factor of 251125262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-4))\/(1\/(-4)). Let m(l) = -205 + 27*l + 48 + 47 + 51 + 48. Let u be m(s). What is u rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -25*y + 26*y + 4*t, 0 = 3*t - 18. Sort -45, 17, y in decreasing order.\nAnswer: 17, y, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1229, -5.1, -12, 2\/37?\nAnswer: -1229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 2\/697 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 335*r - 2868 + 1182 - 4009. Let x(q) = -4*q + 86. Determine x(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 0.8 (c) 109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 231570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3700.278735 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51399645 + -92799645. What is c rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 15642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5330*l - 5328*l + 22 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/324)\/(5\/(-610))*2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 7. Let v = 2.2222 + -7.2222. What is the smallest value in o, 0.2, -3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1771 + -103335?\nAnswer: -101454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -27.2 > -1190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 345713025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/9)*u)\/(u\/(u\/(u\/(((u\/(u*u\/(u*u*u\/u**8*u)))\/u)\/u*u)))))**23*((u*u**(-4))\/(((u*u**(-2\/11)*u*u)\/u)\/u))**(3\/35) assuming u is positive.\nAnswer: u**(-67207\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(468) - (sqrt(468) + 2)) + sqrt(468))**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76625 and 6?\nAnswer: 459750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1136259033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2 - (-3 + -10 + 6). Suppose -5*s = -v*u + 23, -u - 4*s + 1 = -9*s. Suppose 16 = -3*y + 52. Calculate the smallest common multiple of u and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(108))\/((sqrt(4) - ((sqrt(64) - (sqrt(64) + 2*sqrt(64))) + sqrt(64))) + (sqrt(44) - (sqrt(44) - (sqrt(44) - sqrt(44)*2)))\/sqrt(11)).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 4442942976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o + 12*o - 24*o + 6*o + 17*o - 36.\nAnswer: o - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 37\/5 of a millisecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - s**4 + 2*s**4)*(-3 + 3*s + 3).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1330 (base 4) to base 12\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ciccwccwcwccwwwcwc?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 19*v - 85761 + 85761)*(6*v - 6*v + 4*v**2).\nAnswer: -16*v**5 + 76*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, 1 h, and 1 y when four letters picked without replacement from {y: 6, n: 1, v: 2, h: 3, j: 4, s: 3}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.08 - 2. Let b = -0.1 + o. Let h = b - -4.02. Put -2\/11, 0.5, h in increasing order.\nAnswer: -2\/11, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - t)*((0*t - t - t)*(1 + 2 - 2) + 4 - 4 - t + 937*t - 2492*t + 440*t).\nAnswer: 1118*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k**2. Suppose 5*q = 15*q - 30. Let g(b) = 9*b - q*b - b - 7*b. What is g(y(u))?\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-2*4 - (6*(-1 + sqrt(72)) + (sqrt(72) - (-4 + (sqrt(72) - (sqrt(72) + -1 + sqrt(72))) + sqrt(72)))))**2.\nAnswer: -1212*sqrt(2) + 81617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.271 + -0.029. What is the third smallest value in -1\/4, q, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 438621*y**3 + 2*y**2 - 2277961*y**3.\nAnswer: -1839340*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 83166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1826cb (base 14) to base 4\nAnswer: 3100000123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 + 5*n**4 - 4*n**4)*(11 - 7 + 6 + (-4 - 1 + 3)*(-2 + 3 + 0) + 6 - 2 - 2 + 6 - 3 - 1).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092440371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 7 = 3*p + q, 3*p + q + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/6)\/a*a**(2\/13)*a)\/(a**(-2\/5)*a)**36)\/((a**(-2))**(2\/47))**(-21) assuming a is positive.\nAnswer: a**(-428923\/18330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 197, 218, 239, 260?\n\"Answer: 21*s + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2745944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -46 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50523775 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 1. Let n be f(1). Let h = -4 - -7. Solve t - 2 - h = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbbbpbpbbpbpb?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223026401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3*s**2 + 4*s**2)*(-5*s + 2*s + 2*s) + 2*s**3 + 4*s**3 - s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 2*v - 15 = -0*s + 5*s, s - 3 = -4*v - 2*s + 4*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 40*v + 34 = 41*v, -4*v - 14 = -5*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3838, -26675, -87496, -205291, -399050, -687763, -1090420, -1626011?\nAnswer: -2313526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 14. Let o be (-6 - -3)*(-1)\/i. Is o + -1 + -3 + 114 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/43 (b) 24 (c) -197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4081345448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.6. Let w be 2\/13 - (-18)\/52. Let o be 6\/70 + 8\/(-28). Put o, w, z in ascending order.\nAnswer: o, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 0*z**2 + 1\/4*z**3 - 110 - 12*z. Factor u(t).\nAnswer: 3*(t - 4)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 14. Let l be ((-8)\/10)\/(1\/n). What is the tens digit of l\/(-10)*380\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12) + 224\/12. Suppose -3*c - c + 5*i + 18 = 0, 0 = 5*c - 4*i - w. Suppose -c*s - 42 = -8*s. Which is greater: 38\/5 or s?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-5) - -2*5. Let p = -5 + r. Calculate the smallest common multiple of 11 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-4))\/((-12)\/40). Suppose 5*h = h + 20. Which is the nearest to 1? (a) r (b) h (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:02 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/1020 - 2*g**5\/255 - g**4\/68 + g**2 - 520*g. Factor v(y).\nAnswer: -2*y*(y + 1)*(y + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 157\/3*i + 12*i**2 + 40 - 1\/3*i**3 = 0?\nAnswer: -3, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 928 = -5*w + 4*c, -1832 = -4*w + 2*c. Is 57 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1)*84\/189*3 + (27 - -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7537 - -7536.5. What is the closest to 11.1 in x, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 4*g - 4*g)*(-g - 2*g**2 + g - 1) - g**5 + 0*g**2 + 0*g**2 + (g**4 + 0*g + 0*g)*(-5*g - 6*g + 5*g).\nAnswer: -5*g**5 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:49 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 4*i + 1\/3*i**3 + 9\/2*i**2 + 77. Give y(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**7\/35 - i**4\/6 - 2*i**2. What is the second derivative of g(c) wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0 (c) -518825 (d) 5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0421 times 233\nAnswer: -9.8093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + (4 - -5) + (-189 - -193)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8165127 and 3916?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*f - 2. Suppose -8 - 16 = f*l. Let j = 12 + l. Solve j*d = 3*d - 2*q, 2*q = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 120.3841nm?\nAnswer: 0.0000001203841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*r = 5, -2*r - 25 = -4*z - 3. Suppose 0 = -i - 2 + z. Let d be i\/(-3) + 105600008\/24. Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/5, 2\/173, 0?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54\/11 in -4, 2\/23, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -13. Let s(z) = -v - z + 6*z**2 + 3*z - 4*z + z**3 - 6*z. Determine s(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7471)\/67239*(-2)\/(1*4\/(-68)).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 90, -79 in decreasing order.\nAnswer: 90, 4, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60544 and 26794160?\nAnswer: 2357886080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204940 and 5.\nAnswer: -1024700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254045556 (base 7) to base 11.\nAnswer: -9117389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/8 and 111\/(-4)*3\/(-45)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 0. Suppose -2*w - 10 = o, -5*c + 4*c + 7 = w. 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 derivative of g**2*h - 398*g**2 - 2*g*h - g - 3*h + 1370 wrt g?\nAnswer: 2*g*h - 796*g - 2*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Let c(z) = 4*z - 2. What is the units digit of c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.7412 minutes to milliseconds.\nAnswer: 23984472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.032.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*k + 312*k + 59 = -54 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 20*q**2 - 13*q + 43. Is 20 a factor of f(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 21*p - 51. Let h be r(5). Suppose -h*t + 4*o + 2348 = 0, 4*t + 2*o = -o + 2341. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17980 and 16182.\nAnswer: 161820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(-3))**(-18)\/(c\/(c\/c**(-1\/6))*c**(2\/49)) assuming c is positive.\nAnswer: c**(37\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -133*n**2. Let f(w) be the first derivative of w**3 + 1481. Give f(z(g)).\nAnswer: 53067*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 6:11 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b88d (base 14) to base 3.\nAnswer: -1121201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -26*h**3 - 2*h - 1. Let v be x(-1). Suppose -9 = n - v. Suppose 5*f - 17 = n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -270. Let p = 279 - d. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -1. Suppose 9 = -4*h + 17. Suppose 2*v - 5*q = -h*v + 45, 5*q + 50 = 5*v. Sort -2, v, l.\nAnswer: l, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2132 = -4*t, -3*l = -2*t + 63 - 1131. Which is smaller: -530 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 11*v + 3. Let f be c(-11). Suppose 4*s + f*h = 21, 4*s + 5*h - h - 20 = 0. Solve 3*g - 3*l + s = 0, 0 = -g - g + 4*l + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 18*s - 13. Let n(o) = 377*o - 273. Let f(x) = -5*n(x) + 104*z(x). Is f(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47363 (b) -0.023 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164993034.\nAnswer: 2, 3, 3823, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 + 2*f**3\/3 + 5*f**2\/2 + 9*f. Calculate z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 + b**4\/8 - 5*b**3\/2 - 39*b**2. Suppose 32 = -3*n - n. What is the tens digit of j(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445 and 1140106445?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212149 + -0.0478?\nAnswer: 212148.9522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 - 46*w\/3 - 305 = 0. What is w?\nAnswer: -15, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85155158549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 9*l**3 + 11 - l**3 - 14 to y + k*l**3 + h*l**2 + d*l and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 79. Let j be x(20). Suppose 0 = p + a - 2 + 3, -5*p - j = -2*a. Which is smaller: p or -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/60 - 382*s**2. Let m(h) be the third derivative of h**4\/12 - 29*h**3\/6 - 2*h**2. What is m(w(c))?\nAnswer: 2*c**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5.9, 4, 1\/1434419.\nAnswer: -5.9, -0.2, 1\/1434419, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - 1)*(-g - 4 + 4) + 4*g + 2*g - 4*g - 4*g + 12 - 12)*(-2 - 2 - 5) to m + j*g and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 - 93148*g\/7 + 11765280\/7.\nAnswer: 4*(g - 23160)*(g - 127)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4 - 4)*(-1 + 1 - 2*r**3) - 11 + 11 + 6*r**4 + (-4*r**2 + 0*r**2 + 3*r**2 - r + (-4*r + 3*r + 4*r)*(10*r + 27*r - 12*r))*(-3 + 3 + 4*r**2).\nAnswer: 306*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17053\/139 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00553283019 to 4 dps.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 285, -5.\nAnswer: -5, 66, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 35303802 = -4*i - 35303764, 2*o = i - 5 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*b + 532*b - 233*b + 9 - 75*b + 18*b**2.\nAnswer: 18*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*f - 1195, 3*v - f = -2*v + 1502. Let j = 524 - v. List the prime factors of j.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 29*i - 78. Let m be l(26). Factor -3\/7*s**3 + 0*s**2 + 0 + 3\/7*s**5 + m*s**4 + 0*s.\nAnswer: 3*s**3*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14345072 and 316652.\nAnswer: 7364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381135 is divided by 1679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 3) + -1 + -3. Let n(j) = j**2 + 0*j**h - 9*j**2 + 5*j**2. Let v(q) = -4*q - q + 2*q. Give n(v(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276 (base 13) to base 14.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -312?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 950403a?\nAnswer: -950403e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u - 72. Suppose -v - 8 = -3*c, -8 = -4*v - 4*c - u. Let z(h) = -4*h - 2 + 3*h**2 + 1 - 4*h**2. Calculate z(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Suppose -a*t + 21 = -3*d, 4*t - 3*d - 32 = -5. Suppose -3*i + t = -18. Solve -2*q + 1 = -i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00415022855 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -448328 or -448845?\nAnswer: -448328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 < -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {a: 10, x: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.074 - -6.074. Suppose -2*m = 3*m + 15. What is the closest to 1\/3 in f, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/(-57) + (-14219)\/2242*6?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-10) + 62\/2. Suppose v - s = -72. Let t be 2\/7 - 156\/v. Is 5 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.359742 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*i + 7*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*b + 1148 = 281*b + 5104 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5216392 and 3336.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 407.04 + -398. Let i = m + -9. Let o = i + -0.049. What is o rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.77 = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 3. Let a be t(-6). Let y = 8 - a. Suppose 0 = -2*q + 2*g + 14, y + 12 = -q - 5*g. Solve -n - q = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.003493*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10792a7 - 2a?\nAnswer: 1079279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24848930 is divided by 10371?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*f**3\/7 + 496*f**2\/7 - 1210*f\/7 - 100\/7.\nAnswer: -2*(f - 5)**2*(25*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117) + (sqrt(65) + (-3*sqrt(65) - sqrt(65)) + sqrt(65) + sqrt(65))\/sqrt(5) + sqrt(13) + 2.\nAnswer: 2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*z - m + 3*m, -896 = -72*z - m - 0*m - 104 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/374)\/(60\/(-320))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*i + 85 = 0, -4*x + 2*x = 5*i - 35. What is the tens digit of (-12)\/x - (-67)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(325) + 2) + -4 + 1*sqrt(325) + (3 + sqrt(325)*-2*3 + sqrt(325))*-4)*6)**2.\nAnswer: -129600*sqrt(13) + 4691664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 5*m**2 + 2*m. Let i be q(-4). Let v be 48\/(-1)*(i + -2). What is the remainder when (-2)\/7 - v\/(-56) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -296344 - -296053.162. Let p = -295 - d. Let z = p - -4. What is z rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27040*h*q**5 - h*q**2 + 4615*h*q + 21*h + 1029*q**5 - q**2 + 2*q wrt q?\nAnswer: 1622400*h*q**2 + 61740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.246\nAnswer: -0.0738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -844 or -843?\nAnswer: -843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045485271376 + 190.\nAnswer: 190.045485271376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 131*v + 39. Let s be w(27). Let c(m) = -s + 3576 - m. Let p(r) be the first derivative of r**2\/2 + 55*r - 1. Calculate p(c(b)).\nAnswer: -b + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159.4 - 161.1. What is the second smallest value in -1\/6, 15, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271747986*x + 4*x**2 - 271747986*x.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4365*u**2. Let n(h) be the third derivative of -h**4\/24 - 3634*h**2. What is j(n(q))?\nAnswer: -4365*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*g - 87 + 3816 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(171))\/sqrt(9).\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-36))\/(1\/(-4)). Let o = 0.71 + 0.09. Let m = -3.2 - o. What is the nearest to -1\/2 in m, x, 2\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 - 2163*c - 12990.\nAnswer: (c - 6495)*(c + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 times -758?\nAnswer: -355502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i**2)*(-3 + 3 + 2)*(21 - 9261*i**3 - 19 + 14 - 16).\nAnswer: -18522*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -144861819, -144861822, -144861825, -144861828, -144861831?\n\"Answer: -3*v - 144861816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnorxhxnxvhhvxohv. What is prob of sequence xn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -88. Let z = 16 - o. Suppose 5*b**z + 4*b**2 + 2 - 3*b + 16*b - 4*b**3 - 8*b = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.956 - 0.044. Let v = -7.157 - 0.043. Let a = h - v. What is the closest to a in 2, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 119, 184, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - -47)*(26\/(-42) - 2\/(-7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 144?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 8, t: 1, w: 5, l: 3}. Give prob of sequence ew.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**35*w*w**(-17\/3)*w**(11\/3)*w*w**(-7\/5))**(-3\/17) assuming w is positive.\nAnswer: w**(-519\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16 - -19) + -10 - 11) + -14 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8845*d + 3*u = 8844*d + 5, 3*d - u = -25 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 6 - -13 - 14 - 7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:25 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -33\/70*k**7 + 0*k**4 - 52*k + 0*k**5 + 14*k**3 + 0*k**6 - k**2 + 0. What is the derivative of h(d) wrt d?\nAnswer: -396*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 13*i + 4. What is q(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151310657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*z - f, z - 2*f = -0*f + 13. Solve 2*l = -7 + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - u + 5*u**2 + u**2 as f*u**2 + a*u + q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/3 - 10745*y**2\/3 - 107675*y - 808125 = 0 for y.\nAnswer: -15, 10775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 2*f - 32, 173*j - 17 = 178*j + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 115. Suppose -4*v + h = -126. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1766 - 0.162032. Round x to 4 dps.\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4 - 58760*x**3 - 479892936*x**2 - 709537811840*x - 291620137267712 = 0?\nAnswer: -13816, -874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbj when three letters picked without replacement from iijbpebeiippiiveej?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -5*r. Suppose -r*k = k - 12. Let n(b) = -b**3 - 9*b**2 - 7*b + 6. Let s be n(-8). Put -4, s, k in descending order.\nAnswer: k, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 5 = -80 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 9*r + 1. Let f(o) be the third derivative of -o**6\/120 - o**4\/3 + o**3\/6 - 73*o**2. What is 6*f(y) - 5*h(y)?\nAnswer: -y**3 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + -2 + sqrt(605))*5 + 5)**2*6.\nAnswer: -6600*sqrt(5) + 363150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*3)\/((sqrt(168)\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8173755 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.9 - 18651988.\nAnswer: -18651998.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:35 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, 1, -26, -99, -224?\n\"Answer: -y**3 - 14*y**2 + 62*y - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -5\/3, 0, 139\/21 in descending order.\nAnswer: 139\/21, 0, -5\/3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.7 - -66.7. Which is smaller: v or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262754822 a multiple of 2882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 31 (c) 0.4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10640 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2519 and -709734?\nAnswer: 707215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/3)\/((-1)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110691 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*u + 19 = 0, 3*u - 2 + 9 = -c. Suppose 0 = c*p - p + 2. Let s be -2 - (-7 + (-24)\/(-4)). Put s, 8, p in ascending order.\nAnswer: p, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 342. Suppose 4*m - u = 38. What is the remainder when m is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-21 - -3) - 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 15*q**2 + q + 35. Let o be w(-15). Suppose o*c = 17*c - 3. Is c < -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144426 + 1200.6141\nAnswer: 145626.6141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Suppose w + 5*f + 75 = 6*w, 5*w + b*f = 103. Calculate the remainder when 56 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*h = -202*h - 56. Suppose 112607 = h*v - 153050. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 - 2962*k\/5 + 117528.\nAnswer: 2*(k - 1245)*(k - 236)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 10*a**2 + 2*a - 260 = 0.\nAnswer: -26\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -2*l**2 + 0*l + 1\/6*l**4 - 2\/3*l**3 - 7 - 1\/60*l**5. Let n(s) be the second derivative of a(s). Suppose n(i) = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzwwwfzaffcffwwaazz. Give prob of picking 1 c, 1 f, and 2 a.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -111420.325 rounded to the nearest 10?\nAnswer: -111420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b, 5*q - 508 = q - 5*b. Let s = q - 100. Calculate the highest common divisor of 154 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3 - 22. Let w(i) = i**2 - i + 4. Let u be w(g). Let p = u + -16. What is the highest common factor of p and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 13. Let r = w - -11. List the prime factors of 27*(1 + r\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-575)\/(-46). Let s = u + 14. Let j = s - 3. What is the greatest common divisor of 253 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9527.11 to the nearest one hundred.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2649*q - 2643*q = 9810. List the prime factors of q.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 217*g - 320. Calculate f(-115).\nAnswer: 1175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 + 3 - 3)*(53*c + 5*c**2 - 53*c) - 2*c**4 + 0*c**4 - c**4 as z*c**4 + f*c**2 + a*c**3 + m*c + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3252591 is divided by 1628.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/sqrt(9) + -3 + sqrt(70)\/(sqrt(10)*-4).\nAnswer: -3 + 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*((-2 + sqrt(128) + 3)**2 - sqrt(128))*-3.\nAnswer: -1937 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5340\/801)\/(16\/9).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13968 and 2304?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/8 - 9\/(-24). What is the units digit of (-33)\/22*t\/(-3) - -104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-24)*(38 - 122)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37926 and -37926 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 3*a + 5*a)*(0 + 0 - 1) + (2*a - 3*a + 0*a)*(-1 + 1 + 2) in the form d*a + t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 284*g**3 + 44*g**3 + 4*g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 2*c - 24 = -19*w, c = 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (313*h**2 - 20 - 31 + 52)*((2*h + 1 - 1)*(-1 + 0 - 1) - 5*h + 3*h + 4*h - h + 2*h - 2*h) to i*h + d*h**2 + p + k*h**3 and give k.\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 + 85. Let z = a - -68. What is the tens digit of (-624 - 4)*(9\/z + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161358 divided by 2?\nAnswer: -80679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-7380)*1623 + 9\/(-6) and -14\/85?\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 75*z\/2 - 147\/4.\nAnswer: -3*(z + 1)*(z + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3292 - 0.6739. Round y to 2 decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 9. Let f be a(-7). Suppose -f*o + 9*o = -500. Is o\/(-2) - (-1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -203*d + 45. List the prime factors of h(-41).\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {l: 16, t: 2}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Suppose d*p - 15 = 105. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -403, -908, -1625, -2560?\nAnswer: -3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 223950 divided by -74650\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2197*g**2 - 29*g + 18*g - 213*g**2 + 11*g)*(-2*g + 0*g + 10*g)*(3*g - 3*g - g) in the form q*g**3 + f*g**4 + j*g + l*g**2 + r and give f.\nAnswer: 19280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 886702071 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.44. What is the nearest to -0.1 in -1\/4, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8910 = -3*o - 77*o. What is the highest common divisor of 9130 and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.7 and -22598.\nAnswer: 399984.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1537 + -1537.0001371. Round i to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532937819 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) - (-11 + 5 - -4). Let n(w) be the second derivative of -7\/2*w**l + 2\/3*w**4 + 0*w**3 + 0 + 7*w. Differentiate n(x) wrt x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18*(-5)\/90*-3*3 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, 2 in increasing order.\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2280538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18592 and 2324?\nAnswer: 18592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (189\/36)\/((-3)\/(-204)). Suppose w - o = -f + 2*f, 3*w = 5*f + 1065. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 9225 + 4653. List the prime factors of y.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 498320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78.116 + 0.116. Let g = 41 + m. Let t = 0 + -1. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 7124?\nAnswer: 64116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r - 11. Let s(w) = 3*w - 2. Let q(j) = -2*d(j) + 11*s(j). Let y(k) be the third derivative of -7*k**5\/20 - 15*k**2. Calculate y(q(v)).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4\/5)*g*g*g*g**(2\/11))\/(g\/(g*g\/(g**(-1\/4)\/g)))**29)**(-1\/4))**(5\/4) assuming g is positive.\nAnswer: g**(-14879\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 1\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqtk. What is prob of picking 1 k and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357666 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50808630 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:20 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w - 2*a + 33 = 0, 0 = -w - 5*a + 24. Solve 4*m + 14*h = w*h - 19, -4*m = -4*h - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(130) - (-1*sqrt(130) + sqrt(130) - sqrt(130))*3 - sqrt(130)) + 5*(sqrt(130) + -2*sqrt(130) + sqrt(130)))\/(-2*sqrt(20)\/sqrt(2)*-5) + -4).\nAnswer: -9*sqrt(13)\/10 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.101, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*j**3 + 182*j**3 + 178*j**3 - 883*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/192)\/(2\/(-1356)). Let q = 132 - u. Calculate the remainder when 92 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935079964?\nAnswer: 2, 2341, 206651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 131, -56\/877, 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/20 + 11*o**4\/12 + o**3 - 3*o**2 - o - 41. Suppose -3*f + 0*f = 27. What are the prime factors of t(f)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/27*6\/40.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223486232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -4e?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2*u**3\/57 - 16*u**2\/19 + 34*u\/19 - 336. Factor b(a).\nAnswer: -2*(a - 1)*(a + 17)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -14. Suppose 0 = 5*r - 5*z - 15, 4*r + v*z = 5*r - 4. What is the units digit of -2 + 28 - r\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from xxxxxxxxxeoxeoxeooex?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*2*(-2 + sqrt(98)) + sqrt(98) + sqrt(98) + (sqrt(98) + -2 - sqrt(98)) + 0 + 0)**2*6.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsiqssiihiiijiqii. What is prob of sequence shsj?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 12*s**2 - 10*s + 16. Suppose -3*f + 3*p = 9 + 39, -13 = 3*f + 4*p. Let x be c(f). Sort x, -5, 1 in decreasing order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 818532 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 36 - 5*k + 7.\nAnswer: -5*k - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-2 + -1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.29146 to one decimal place.\nAnswer: 176.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -78*a + 2175. Let j(g) = -31*g + 868. Determine 18*j(r) - 7*p(r).\nAnswer: -12*r + 399","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0 - 1\/3*f**2 - 2\/9*f**3 - 1\/18*f**4 + 4*f. Factor u(q).\nAnswer: -2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86.8 - 69. Let j = t + -5.7. Let w = -12.1000057 + j. What is w rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 341*c + 1015. Let z be b(-3). Which is bigger: 1\/1199 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 1}. What is prob of picking 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -428\/1095 - 2\/219. Let o = -0.1 - 0.4. Which is the third biggest value? (a) o (b) 0.03 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*s + 2*v - 14, -5*s = -3*v - 2. Let i be ((-2)\/4)\/(7\/s). Let z = -3 - -2.9. What is the nearest to z in 2\/11, 2\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u + 44. Let f = 101 - u. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65894.16 + -0.4\nAnswer: 65893.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -6) + -4 + 3. Let x(a) = 6*a + 2. Let j be x(g). Suppose 52 = 5*y - y. What is the highest common factor of y and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 17*n**2 - 14*n + 26. Let f be b(-16). Let a(z) = -3*z**2 - 5 + 4*z - 2*z + 2*z - z**3. Is a(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by ((-1)\/(-2))\/(1736\/576 - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 72. Is 1*260 - d\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) -0.1 (c) 1 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16482 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**3 - 7*v**2 + 23*v + 30. Let j(i) = 5*i**3 - 3*i**2 + 11*i + 15. Let o(h) = -6*a(h) + 11*j(h). What is the hundreds digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 102?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 18. Let a(f) = f**2 - 11*f - 180. Let l be a(20). Solve -t*w + 4*w - 8 = l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36311188*j**3 + 2409*j + 2735 wrt j?\nAnswer: 217867128*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 52. Let p(x) = -2*x**2 - 3*x**2 - x**3 - 4 + 3*x - 8*x. What are the prime factors of p(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -z + 4 - 6, -3*k + 2 = 2*z. Suppose 71*q - 66*q + 10 = 0. Put 2, q, z in increasing order.\nAnswer: q, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x - 20. Which is the nearest to 0.2? (a) 0 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5018*h**2 + 13545*h**2 + 15061*h**2.\nAnswer: 23588*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138623552 and 142400.\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20715, 82883, 186523, 331641, 518243, 746335?\nAnswer: 1015923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254237.\nAnswer: 97, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42710627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0519, -5, -55, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 8. Suppose 2*q = -l - 53 + 18, u*q - 2*l = -82. Let b = q + 33. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15*(-42)\/(-1575))\/(4\/(-6)))\/(162\/105).\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 71. What is the third biggest value in w, 0.2, -2\/7, -2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2450448 and 185\/12558.\nAnswer: 56360304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 551475.1l in millilitres?\nAnswer: 551475100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**2*x - 8*i**2*z + i**2 - i*x + 2*x - 19*z wrt i?\nAnswer: -6*i*x - 16*i*z + 2*i - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (-14 + 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 5:28 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*f = 7070, 2232 - 14037 = -5*b - 4*f. Let u = b - 1662. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by 1.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8822433947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*j = 12, 0 = 12*s - 7*s + 3*j + 4. Put 4, -13, s in decreasing order.\nAnswer: 4, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.6. Let t = l - 0.2. Let s = -9\/28 + -1\/84. Which is the closest to t? (a) 4 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 32. Suppose 8*g - 45 = 3*g. Calculate the least common multiple of i and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3252, 6501, 9748, 12993?\nAnswer: 16236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2795477703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2199 + -1.154873. Let o = p - 0.0653. Round o to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 17*y - 105. Factor 2*q - 3*q - 3*q**2 + y*q - q.\nAnswer: -3*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p + 1. Let s(g) be the second derivative of -3*g**5\/20 - 5*g**4\/12 + 5*g**3\/6 - 5*g**2\/2 - 5*g - 10. Calculate -5*o(y) - s(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(2\/9))\/d))**(-4\/25) assuming d is positive.\nAnswer: d**(-44\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:26 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11606 (base 8) in base 7?\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -231762, -463033, -694304, -925575, -1156846, -1388117?\n\"Answer: -231271*b - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 4*j)*(33*j - 8 - 27*j - 9*j) in the form a*j**2 + n + m*j and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 8*b - 26. Give w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 9*y**2 - 2*y - 10. Let n be s(9). Let g be (-4)\/14 - 8\/n. Let u(o) = -o**3 + o + 5. Is u(g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoyy when four letters picked without replacement from {o: 7, y: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4105.1199976 - -4105.1. Let c = 0.02 + n. What is c rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 4*a**2 + 3*a. Let t be c(4). Calculate the greatest common divisor of t and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*o + 1. Suppose -u = o - 16. Suppose -w = -3*w + u. Let k(g) = -6*g - 4. Let f(q) = -7*q - 5. Calculate w*f(y) - 4*k(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 10*q + 12*q + 83, -2*s = -5*q - 165. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-50))\/(2 - (-14)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2308353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137562 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 3*r + 5*p + 45, 3*p + 12 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:04 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3189 + 2251*i**3 + 2262*i**3 - 4532*i**3 + 3189.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4784660 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*83087\nAnswer: -249261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 12*c**2 + 14*c + 16. Let u be (-1575)\/(-120) - (220\/(-32) - -7). Give q(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135171, -135173, -135175?\nAnswer: -135177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + 73 + -69\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(84)*2*1)\/(sqrt(24)\/(sqrt(2)*-1)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -415273 or -415272?\nAnswer: -415273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**4 + n**3 + n**2 + n + 4. Let a(i) = -217*i**4 + 4*i**3 + 4*i**2 + 4*i + 358. Let h(b) = a(b) - 4*v(b). What is the derivative of h(y) wrt y?\nAnswer: -884*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/12))**(-19) assuming w is positive.\nAnswer: w**(-209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = -2. Let t = -5 - h. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -2*h, -14 = -4*u + 5*h - 35. What is the fourth smallest value in 2, -0.1, -0.23, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f. Let i(y) = 35*y. Let j(g) = -3*i(g) - 20*o(g). Let q(m) = 4*m. What is j(q(a))?\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/30 + (-24)\/72. What is the biggest value in 15\/4, -4, 1\/2, d?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29647*k**2 - 49906*k?\nAnswer: 59294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1827 and 7?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -458*c**2*o**4 + c**2*o + 1177*c**2 - c*o + 57*c + 184763*o**5 - 38*o + 5 wrt o?\nAnswer: -5496*c**2*o**2 + 3695260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 120416?\nAnswer: 120416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 1\/3 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 508 + 480 + 91 - 129 + 1042*f wrt f?\nAnswer: 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-30)*2\/(-4)*66\/(-5247). Is o not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*c = w - 7, -5*c = 15. What is the derivative of -12*t**4 + 17*t**w - 49 + 4*t**4 wrt t?\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 9*s**2 + 12*s**2.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*h - 589*h + 56 = 4*w, 13*w = -3*h + 9*w + 56 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5661697 to the nearest integer?\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -24194*i - 1. Let p(h) = -10*h + 17. Determine p(w(m)).\nAnswer: 241940*m + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -896? (a) 100 (b) -5 (c) -0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 + 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 8450146\nAnswer: 1267521.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13662 and 2178?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52001150 (base 6) in base 16?\nAnswer: -16c91a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 9 + p - 9. Let r(i) = -i**2 + 10*i + 4. Let q be r(10). Let b(h) = -q*h - 2 + 2. What is b(o(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/106862 and 131\/102.\nAnswer: 320586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a millimeter in micrometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 17, 54, 107?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 0.5 (c) -18.142 (d) 0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48.9 + -56. Let n = h - -7. Let j = -14.9 - -15. Which is the closest to 2? (a) -4\/5 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52053 + 95576. What are the prime factors of m?\nAnswer: 71, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4\/5 (b) 3\/5 (c) 4 (d) -1\/4 (e) 0 (f) 277 (g) -6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(273)\/sqrt(7)*-1)\/(-2*-5*sqrt(3)*-5).\nAnswer: -sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 1 + 1 + (3*l + 2*l + 0*l)*(-16 + 1 - 4)*(-6 - 5 + 4).\nAnswer: 667*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10145 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: Suppose -2587 = j - 2578. Let u(y) = -2*y**2 - 17*y + 3. Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 646. Let y = 580 - w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29611242 and -0.09869958.\nAnswer: 29611241.90130042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -63. Let f = 7 - 5. Sort f, 3, s in increasing order.\nAnswer: s, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2510936809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43\/418 + -3\/38. Let m = 8693\/26061 + -2\/8687. Let j be (-2)\/(-5)*1*-10. Which is the nearest to -3? (a) m (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(120\/(-792) + 4\/(-22)). Put 5, z, 2, -1 in increasing order.\nAnswer: -1, 2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*h**3 + 3*h**2 + 137*h.\nAnswer: 162*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 2*j**2 - 2*j**2 + 3*j**2 - 2 to z + x*j**2 + f*j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 32422028 and 678.\nAnswer: 32422706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*w**3 + 19119*w**2 - 19115*w**2 + 3*w + 0*w - 3*w in the form z + l*w**3 + s*w + a*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2006635578101 and -0.2.\nAnswer: 0.0006635578101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 217.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1239*f**3 - 1331*f**3 - 887*f**3 + 897*f**3.\nAnswer: -2560*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 + 3*b + 3*b - 3*b. Let v be j(4). Let h = 18 - v. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326272 smaller than -326278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107416 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88825850 is divided by 21649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -136\/9*p**2 + 4\/3*p**4 + 352\/9 - 76\/9*p**3 + 304\/9*p = 0?\nAnswer: -2, -1, 2, 22\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -35*t**2 - 4*t + 17. Let m(q) = -17*q**2 - 2*q + 8. What is -11*m(h) + 6*x(h)?\nAnswer: -23*h**2 - 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 2*o + 3. Let t be k(-2). Suppose 5*s + 105 = 4*a, -259 = -4*a + 3*s - 164. Solve 0 = -t*g - g + a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128200*q + 501058*q + 174583*q.\nAnswer: 547441*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -119, 0.0259, -1.46 in descending order.\nAnswer: 2, 0.0259, -1.46, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*g - 126*g + 247*g = -66 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 386856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52406870 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 15*l - 148 - 23. Let d = -99 - -186. Calculate the greatest common divisor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 34. Suppose b + 1 = -f. What is the units digit of (-2 - b\/10)\/(2\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 5*u**2 - 4*u - 2. Does 28 divide q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 1, -8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20201200110121 (base 3) to base 16.\nAnswer: -369115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from {r: 2, u: 2, p: 6, z: 2, o: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + 3, 5*j = -3*z + 4. Let r be (-2 + 4)\/(-2 + 3 - 0). Suppose -37 = -3*l - r*y - 3*y, -l - 2*y = -14. Solve 0 = -k + 3, -z*b + l*k = k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + 66\/24. Suppose -4*f + x*k = -28, -11 = -5*f - 3*k + 24. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/7 + 8*z**3\/7 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 3*h**2 - h + (-5*h + 3*h + 4*h)*(2*h + 2*h + 0*h) + 3*h**2 + 5 - 14*h**2 + 3*h + 9*h**2.\nAnswer: 9*h**2 + 3*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18445, 38441, 58437, 78433?\n\"Answer: 19996*h - 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 212?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 648\/81*4\/12*-1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 86*v + 85. Let x(t) = -172*t - 157. Give 11*l(f) + 6*x(f).\nAnswer: -86*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -575 - -1114. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0315787 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 4*g**2 - 40*g + 23. What are the prime factors of f(17)?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - -8a?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m**4\/17 - 208*m**3\/17 + 710*m**2\/17 - 156*m\/17 - 1440\/17 = 0.\nAnswer: -8\/7, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 75*z + 3383. Give o(-45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(175) - (-1*sqrt(175) - sqrt(175))*4))**2.\nAnswer: -90*sqrt(7) + 14176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 330, 661, 992, 1323, 1654?\n\"Answer: 331*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 58 - 83 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 1128 = -35*z. What are the prime factors of z?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.37 to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*v + 92*v + 801*v**2.\nAnswer: 801*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, f: 6, c: 4, w: 4}. What is prob of sequence cwuu?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216197 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -74, -167, -308, -503, -758, -1079, -1472?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 11*q**5\/30 - 17*q**3\/6 - 2*q**2 - q. Differentiate t(z) wrt z.\nAnswer: 44*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 - 3)\/(-1))\/1. Let k be ((-8)\/3)\/((-2)\/q). Suppose -4*v + k*z + 25 = -v, -4*v + 2*z = -30. Put v, -1, -4 in decreasing order.\nAnswer: v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -14. What is the remainder when 25 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = -6*q + 1470. Suppose 0 = 3*r + q - 195. Which is smaller: -2\/81 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Let m(y) = 3100*y. Give k(m(l)).\nAnswer: 6200*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -52.9151 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**2 - 4*d - 2. Let k(z) = 5*z**2 + 2*z + 0*z - z - 4*z**2. Determine 5*k(b) + t(b).\nAnswer: -2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1760 and 4048?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 times 0.05?\nAnswer: 5.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/3)*g*g**(-2\/11))\/(g**(-2\/5)\/g**(-1\/8)))\/(((g*g*g**(6\/7))\/g**(-1\/4))\/(g\/(g\/(g*g**(3\/7)))*(g\/(g**(-4)\/g))\/g)) assuming g is positive.\nAnswer: g**(43871\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4171194 and 1552.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29377 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 15, 0 = -3*h + 5*i - 151 + 9436. What is h rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 341*l + 335*l - 687*l + 66. Let k be c(6). Find v, given that -16\/5*v + k + 16\/5*v**2 - 4\/5*v**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 36, -0.1, 0.2, -0.2, 2\/103?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*p - 46834 - 21094 = 836*p + 7168 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 3445102*c\/3 - 2967181947601\/3.\nAnswer: -(c - 1722551)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcccdlc. Give prob of picking 1 d and 1 c.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/192 and 103\/1936.\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -316\/9 bigger than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m = -14*m - 82 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -3. Let y be ((-14)\/21)\/(l\/(-3)). Let h = -239\/308 + 2\/77. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -9.4?\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6169495967?\nAnswer: 11173, 552179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -7*r + 9. Let q be r\/(-10)*(3 + -3). Suppose q = m - 2*m + 105. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Suppose y - 6 = -6*v + 3*v, -y + d*v = -30. Suppose -4*p + 11 = 5*u - y, 28 = 3*p + 5*u. Solve j - p - 2 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2 + 6*p + 10. Let c be n(-3). Calculate the highest common factor of 41 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 2\/(-1))\/(10\/1480). Suppose t + 12*i - s = 17*i, 3*t - 3*i = 492. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {r: 1, j: 1, v: 6, n: 8, o: 3}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5286*i + 2 - 2270*i - 2413*i to the form j*i + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 202 - 178. Suppose 12*v = 24*v - s. Let n = 397\/6 - 66. What is the third biggest value in -13, n, v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/4)\/((-11)\/(2420\/(-33))). Suppose n*f = 2*o - 156, 7*f - 11*f = -5*o + 356. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88, -0.03, -3, 0.5, 396.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlfyzoezlezoof. What is prob of picking 1 e, 1 z, and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74913964?\nAnswer: 2, 18728491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151 and -0.2?\nAnswer: 30.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/125 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 10069 - 12*q**2 - 3*q + 5*q + 11*q**2.\nAnswer: -q**2 - 2*q - 10069","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Suppose -3*v + 5*v - 8 = 0, 5*a + 2*v + 22 = 0. Let s be -22*3*3\/(-18). Let f = a + s. Determine q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -4, 0.1, -2\/3 in descending order.\nAnswer: 0.1, -1\/7, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyk when four letters picked without replacement from {k: 2, a: 6, q: 1, y: 4, p: 4}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**3 - 7*u**2 - 6*u + 5. Let r be k(-2). Solve -5*p = -5*y + r, -27*y + 24 = -23*y - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/21 (c) -2 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1671 + 1863 = 0. What is the highest common factor of s and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4704 + -4566. Calculate the remainder when 5933 is divided by q.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 26 - 26)*(0 - 2 + 4) + 1 - 1 + 2*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.364 - -37.036. Let y = s + -31.4. Which is the second biggest value? (a) y (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - t = 3128. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225246.2 millilitres in litres?\nAnswer: 225.2462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10 and 32\/398495?\nAnswer: 796990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:37 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.174 + -61.\nAnswer: -60.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.4 + -22.6. Let i = 30.56 + v. Round i to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -27965881.\nAnswer: -6\/27965881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.41 and 166609.\nAnswer: 166601.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022123 - -1321?\nAnswer: 1030110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*y + 8 = 0, 0*y + y = 5*l - 16. Suppose -9*b - 68035 = -l*b. Let x = -59607 - b. Round x to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-4 - (-16 + -1350). Suppose 7*k - 661 = i. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2305, 11, -3, -2, -1.\nAnswer: -2305, -3, -2, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) + 2 + sqrt(17))*-6)**2 + 2.\nAnswer: 288*sqrt(17) + 2594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -13*s**5 + 8*s**4 + 8*s**3 - 16*s**2 - 4*s - 1. Let k(h) = -3*h**5 + 2*h**4 + 2*h**3 - 4*h**2 - h. Let l(o) = 2*a(o) - 9*k(o). Factor l(b).\nAnswer: (b - 2)*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m - 3*m**3 + 25*m + 9*m in the form p*m**2 + x*m + a + l*m**3 and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 110405 (b) 13 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b**3*x**3 - 3*b**3*x**2 + 479*b**3 - 113*b**2*x**3 + 646*b**2*x**2 + b*x + 2*x**2 wrt b.\nAnswer: 66*x**3 - 18*x**2 + 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, and 1 x when three letters picked without replacement from {s: 4, o: 2, k: 2, y: 1, g: 2, x: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 396674983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*g = 760, -4*b + 4*g = 6*g - 990. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**4 - 2*d**4 - d**4 + (-4 + 4 + d**2)*(d**2 + 1 - 1) + 7*d**4 - 11 + 11.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 + 3*g**3 - 2*g**2 + 10*g**2 - 4*g**3 = 0. What is g?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 9*q**2 + 3. Suppose -k + 11 = 2. Calculate the least common multiple of k and y(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2683963.95 to the nearest 100.\nAnswer: -2684000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46720 + 3115. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5943892 hours to microseconds.\nAnswer: 2139801120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -645, -1374, -2395?\nAnswer: -3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -2. Suppose -1 = -3*f + l. Suppose -f*j = j - 20. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2566 divide 396914012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 35 + 7 = 0. Calculate the remainder when h is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = -5*g + 90, -202173*g - j = -202178*g + 46 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*u**6 + 2*u**4 - 2*u**2 - 1.\nAnswer: 4920*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f - 4*d + 55 = 0, 0 = f + 4*d - 11. What is the highest common divisor of 121 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 57576309.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 14*h**6\/15 - 49*h**3\/6 - h**2. Let q(y) = 7*y**3 - 3. Let i be 440\/3080 + 1376\/(-28). Calculate i*q(j) + 3*v(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1488*((-4)\/6 + (-8)\/(-6)). Let r = 1401 + q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) -3 (b) -0.5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130789 + -130791. Let g be (-1)\/2*7\/(-2). Which is the third smallest value? (a) 3 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 31*d**2 + 19*d + 64. Determine w(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 3.5. Let x = h - 3.99875. Round x to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 22*g + 11*g = -2*g - 11*g + 146, -322 = -11*r - 4*g for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 - 2*c**3\/3 + c**2\/2 + 12*c. Calculate v(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 1 (d) 2567 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 77 = -29. Is 1 + u\/96 + 16223\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545591?\nAnswer: 103, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9893453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34993*n**3 + 15*n - 15*n + 1 - 29*n**2.\nAnswer: 34993*n**3 - 29*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**2 + s**3 + 7*s**2 + (-27*s - 31*s + 9*s)*(13 - 13 - 6*s**2) to the form c*s**3 + o + y*s**2 + d*s and give c.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + (1 - 3) + 0 + -30.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyrrrmmyyammmy. Give prob of picking 2 y and 1 m.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 10. Suppose 5*t + 135 = -5*r, 29 = -2*t - 3*r - 21. Calculate the common denominator of ((-654)\/(-18))\/(14\/l) and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + 6*k - k + 0 + 0 + 0*k - k + 2*k + 2*k - 3*k + 0*k + (3*k - 2*k - 3*k)*(0 + 5 - 3) - 1 - k + 1 - 4 + 4 + 2*k - 2*k - 1 + 1)*(154 - 77 + 266).\nAnswer: 343*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003705 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 13 + 0)*43\/172?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-64))\/(-27*(-1)\/18)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*b**3 + b + 105*b**3 - 9 + 93*b**3 - 27*b**2 to o*b**3 + g*b**2 + m + k*b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1 - (-3)\/9 - 0).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277177 plus 52871382?\nAnswer: 53148559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 16*g**3 - 19*g**3 + 5*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 21*p - 3. What is the remainder when t(2) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qttp when four letters picked without replacement from {y: 1, p: 1, a: 1, t: 2, q: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let r(b) be the third derivative of 3*b**2 + 0*b**3 + 0 - 1\/12*b**4 + 0*b. Calculate v(r(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9\/2 (b) 4\/23 (c) -32 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -577 - -578. Let l = 5 - 3. Let o(z) = -z**2 + 4*z**2 - z - l*z**2. What is o(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 7*r**5\/4 - 235*r**4\/12 + 70*r**3\/3 + 30*r**2 - 2*r - 16. Let w(u) = 0. Calculate u.\nAnswer: -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.68 + -0.32. Which is the closest to 14? (a) -1\/3 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 + -174. Let g(d) = -11*d**r - 21*d**2 + 11*d**2. Let a(l) = 8*l. Give a(g(j)).\nAnswer: -168*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {b: 1, o: 1, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4377624000 rounded to the nearest 1000000?\nAnswer: 4378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9506354 and 22.\nAnswer: 9506354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, f: 9, r: 2, j: 1, y: 1}. What is prob of picking 2 u and 1 y?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 797 - (-1)\/((-2)\/4). Let k be (4\/(-3))\/((-2)\/x). Find the common denominator of 55\/4 and 1\/(-4) + k\/(-72).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/5))**(21\/5)*(h\/h**3)**(8\/3))**(24\/5) assuming h is positive.\nAnswer: h**(-1688\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/((-2781128)\/1390557 - -2) 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 74497 and 13231394.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 3. Suppose x - 11 = 2*f, -4*x + f + 5 = 6*f. Let h(p) = 3*p + 2. Let k(v) = x*j(v) - 6*h(v). What is the derivative of k(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.275 rounded to one decimal place?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001022 (base 3) to base 8.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504384 and 13632.\nAnswer: 504384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12958273633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(448) + -1 + -3) - (-2*sqrt(77)*1)\/(sqrt(275)*-1).\nAnswer: -242*sqrt(7)\/5 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1280) + 3 - 4*((sqrt(5)*4 - sqrt(5))**2 + -3).\nAnswer: -165 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*l - 20, -y - 3*l + 4 = -7*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 115*c + 3033. Determine r(-77).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 + 1715*b = 0. Calculate b.\nAnswer: 0, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*b + 313*b - 1573*b + 310*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 + h - 3. Let n be c(5). Suppose 2*j - 88 = j + d, -2*j + 3*d + n = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 736*k**2 + 2*k + 4. Let n(i) = 2*i**3 + 737*i**2 - 3*i - 5. Calculate 2*n(c) + 3*q(c).\nAnswer: -2*c**3 - 734*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 67 = -4*n + 79, -4*n = 3*f + 18 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 41*i + 60. What are the prime factors of f(-18)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8093*-23.\nAnswer: -18.6139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 2*x, 0 = 5*x - o + 5*o - 6. Suppose -x*p = -28 - 30. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/120 + 2*n**5\/15 + n**4\/4 - n**3 + 278*n**2. Determine m(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -0.4 (b) 22\/3 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from qruqruxcxxuuucuqxu?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 131900281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 322701.1 centuries?\nAnswer: 387241320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.4 - -19. Let g = 10.6 - 14.2. Let o = d + g. Is -0.05 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4 = -3*j, 2*j - 7*j + 2*o = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-6*j + 8*j - 7*j)*(-393 - 34*j**2 + 393).\nAnswer: -170*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*n = 64*n - 143. Suppose 0*r + 16 = 4*r. What is the remainder when n is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15065\/335 + -5 + 2078\/69613.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(119) + sqrt(119) + 3*sqrt(119) + sqrt(119))*6*-6)\/((sqrt(63)*-2 - sqrt(63))*4))*1.\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9261 + -9256. Let w(s) = -13*s - 11. Give w(f).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 34 = m, 123*i - 20*m - 510 = 126*i - 51*m + 13*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 + 7*y**2\/6 + 7*y\/3 + 1\/2.\nAnswer: -(y - 3)*(y + 1)*(4*y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, -3, 17.\nAnswer: -3, 3, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/551 + (-224)\/38. What is the nearest to -1\/2 in 1\/5, u, -0.7, 0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1774026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**3 - 9*x**2 - 44*x + 3. Let d(n) = -14*n**3 + 19*n**2 + 89*n - 5. Give -3*d(g) - 5*w(g).\nAnswer: 2*g**3 - 12*g**2 - 47*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 229690338421?\nAnswer: -229690338420.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*l - 20008, -39*y + 10004 = -38*y - 3*l. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmiddmmdmdmm. Give prob of sequence mm.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435214 (base 9) to base 4.\nAnswer: -333121303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let k(q) = -17349505*q**2. What is k(r(y))?\nAnswer: -17349505*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(4 + 51\/(-12)). Suppose 5*n = -4*p - 2, 2*p - n = -2*n + d. Solve -f = 1, p*o = -0*o - 5*f + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 42 = 4*z, -5*z - 78 = -4*c. Let f = 20 - c. Solve f*x - 4*w + 7 = -2*w, 5*x = 3*w - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00257 and 265832.\nAnswer: -683.18824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 28 + 0 = 0. Solve x*o + 6 = -o, -5*z = -4*o + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -297a33?\nAnswer: 297a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247 (base 9) in base 14?\nAnswer: -4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 52, 1616, 4, 0.2 in descending order.\nAnswer: 1616, 52, 4, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 50, 30, -5 in decreasing order.\nAnswer: 50, 30, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183 * 794.1.\nAnswer: -145320.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33831938 minus -1835?\nAnswer: -33830103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104489128.\nAnswer: 2, 13, 29850857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 13*o + 64. Let h be g(17). Which is the nearest to -2\/5? (a) h (b) -3\/8 (c) -8.7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 224*n**2 - 11536*n - 63276. Calculate o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + a - 3 + (5 - 5 + a)*(4 - 4 - 2))*(5017 - 522 + 943).\nAnswer: -5438*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a12a5 (base 11) to base 2.\nAnswer: -100100001010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2506*w - 3593. Let v(o) = -12*o - 3. Let r(s) = j(s) + 4*v(s). Differentiate r(m) with respect to m.\nAnswer: 2458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s**3 + s**2 + s - 13. Determine h(-3).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 13*p - 22. Is i(-10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/4 - 69*w\/2 = 0. Calculate w.\nAnswer: 0, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - p + 11 = -28, 0 = 2*p + 10. Suppose 3*y - j*y = -440. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008285 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) + 65\/(-7). Let i(p) = -p - 11. Let h be i(r). Put 7, 2, h in increasing order.\nAnswer: h, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 3. Suppose 3*x = 8*x. What is v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-65)*(224\/16)\/7\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1119336964 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42021369227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.484771 millilitres?\nAnswer: 0.006484771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 1, -103, -3, 5 in increasing order.\nAnswer: -160, -103, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 15 + s**2 - 8)*(3 + 5 - 4) to the form v + l*s**2 + b*s and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6652029 is divided by 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -112 + -1 - 0\/(-1). Let y = t + 227. Calculate the common denominator of -73\/10 and (-15)\/8*y\/(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(4*q**2 - q**2 + 2*q**2) - 3*q**2 + 11*q**2 + 3*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42843775.\nAnswer: 5, 13, 241, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 35, 58, 101, 170, 271, 410, 593?\n\"Answer: n**3 + n**2 - n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 24. Let s = -17 - -26. Calculate the remainder when 18 is divided by q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac9c42 (base 14) to base 13.\nAnswer: 12a520a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/55)\/(11\/121)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4*l - 328, -4*k + 3*k - 2*l = -82. Suppose -2*i - k = -4*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 76. Let n be v - (2 - 2) - -2. Let y = -15\/52 - -1\/26. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 172\/28 + 3\/(-21). Let f(c) = c**3 - 7*c**2 + 6*c - 8. Give f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 5 - 5)*(3730*x - 1343*x - 944*x) + 3 + 2*x**2 - 3 in the form z*x**2 + c*x + a and give z.\nAnswer: -2884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 27*d + 18. Let q be j(-14). Let f be 16\/q + -4 + 0\/2. Solve -4*g + 7*g = f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -34 - 37*m**2 + 47 + 35 + 79*m - m**3. Let u be n(-39). Solve -x - 19 = -4*c, -x - 3*x = c - u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(567)) - 1*sqrt(567)*1 - 5*(sqrt(567) + -1 + sqrt(567) + sqrt(567))*4)**2.\nAnswer: -23040*sqrt(7) + 2322832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Let s = 7947 - 7945. Sort 13, 5, s, o in descending order.\nAnswer: 13, 5, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from eeieeeeeiei?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*1\/(-12)*2\/(-5). Suppose 3*m = -9, -4 - 2 = -p + m. Let w = p - 4. Which is the closest to w? (a) -3 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149522 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9077794?\nAnswer: 2, 11, 412627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/90 - (-67)\/279. Let m = 26\/279 + z. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139995547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 12 = -5*i. What are the prime factors of 12\/((-4)\/(-1))*496\/i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.2, 8\/7, -0.4 in increasing order.\nAnswer: -0.4, -0.2, 2\/3, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 29.1. Which is the third biggest value? (a) -4 (b) 1 (c) -8 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10505822441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1298)\/6*((-363636)\/2442)\/273.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7899223.\nAnswer: 29, 421, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let q(m) = m**2 + 7*m + 2. Let h be q(-7). Let x(d) = 5*d**h + 2*d - d**2 - 2*d. Give b(x(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 5*h - 3*h. Let z be -2 + 2 - (-12)\/3. What are the prime factors of f(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17 = -5*w + 3*k, -3*w = 4*k - 23. Suppose 4*h - 177 = -w*f, 3*f - 33 = -h - 2*f. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1032682 to the nearest one thousand.\nAnswer: -1033000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3*j**2\/2 + 4*j - 1. Let a be n(4). Let t = -3 - a. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 3. Let z(q) = q**3 - 11*q**2 - 14*q + 6. Let b be z(12). Let k(f) = f**3 + 18*f**2 - 2. Let y be k(b). Calculate g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112267.\nAnswer: 3, 17, 83, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2108156 less than or equal to -2108154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2556 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6) - 294\/84?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-3 - -5) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1728\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11233211 + -3?\nAnswer: 11233202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7637783 and 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/12)\/((-4)\/150). Let y = 31 + g. Solve y - 4 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -561 - -572 - 3514\/(-161)*(-2)\/4\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-20))\/(60\/(-450))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2 - ((-315)\/(-1260) + (-75)\/4). Which is the closest to 2\/7? (a) 2\/17 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkm. What is prob of picking 2 k and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or -35\/6?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 50945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*o**3 - 4*o**2 - o - 2 + o - 15*o**4 - 52*o**3 to u*o**4 + h + y*o**3 + v*o**2 + b*o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 4. Let k(x) = -x**3 + 2*x**2 - x. Let u be k(2). Let b(q) = -q**2 - 5*q - 9. Calculate u*b(w) + 5*c(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -381084 or -381083?\nAnswer: -381083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/5)*q))**19\/(q**(-3\/5)\/q*q*q\/(q\/q**(-2\/17))) assuming q is positive.\nAnswer: q**(384\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 15472.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 53*y**2 - 427*y + 14. Let r be g(8). Let l = 3 - 2.8. Let c = l - -0.2. What is the third smallest value in c, r, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(1000) - -2*-2*sqrt(1000))\/(1*-3*sqrt(288)*-4).\nAnswer: -25*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1020\/342 - 3)\/(24\/(-72))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f - 4780*f**2 + 7*f + 4061*f**2 in the form m + s*f + y*f**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12138*j**3 + 9655*j**2.\nAnswer: 72828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4988 is divided by 4978?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -20. Suppose -i = -11*k + 5*k. Suppose 5*o + 0*z = z + 91, -77 = -4*o + k*z. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 936 + -897. Suppose -30*i = -n*i + 270. Put 0, 3, -4, i in descending order.\nAnswer: i, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 40*q - 16. List the prime factors of y(7).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-12)\/6 - -5) - 37. Which is bigger: -38 or g?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2992037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 151806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3970.5669 to the nearest 10.\nAnswer: -3970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -344 + 3?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**3\/l))*l)\/l**6*(l\/(l\/l**(-1\/7)))\/(l*l**(-1\/5)*l))**27 assuming l is positive.\nAnswer: l**(-4671\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 53. Let h = 19 - f. Let x be 8*(700\/(-5))\/h. Calculate the greatest common divisor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -33*v**5\/5 + 175*v**4\/12 + 26*v**2 + 11. What is the second derivative of g(d) wrt d?\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 490 + -495. Is 25*116\/(9 + n) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 2 in increasing order.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d - 1. Let s(q) = q**2 - 8*q + 6. Let f be s(7). Give v(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(539) + 1 + 1 + -2)**2 + 6*(2*sqrt(704))\/((sqrt(8)*-2)\/sqrt(2)).\nAnswer: 32*sqrt(11) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5556143?\nAnswer: 5556143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 641 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 6*p. What is the lowest common multiple of u(-5) and 950\/855 - (-2132)\/9?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 + -12 - -22) + (-4 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = 0. Suppose -4*y - 5*a = -0*a - 81, 3*a - 3 = d. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192477 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 757, 1136, 1515?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 26. Let o be j(5). Let i = 24 - 24. Find the second derivative of 5*d - 12*d - 10*d + i*d - o*d**5 wrt d.\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*q - 2631 + 1647 - 8862 - 984 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10404)\/(-136))\/((-1)\/(-2)*1). Let o = 156 - a. What is the lowest common multiple of o and 9 - 0 - (2 - 3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-6 - 1 - -17) - -19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-28))\/((-23)\/(-4))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 710568.7 litres in millilitres?\nAnswer: 710568700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*d + 3 = 1, 4*v - 14 = 2*d. Solve -5*x = l + 7, -v*l - 3 + 0 = -x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + -5 + (-1 + sqrt(153))**2 - -5*(4*(sqrt(153) + 0)*-6)**2.\nAnswer: -6*sqrt(17) + 440795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j - 2. Let w(b) = -5*b. Calculate w(f(r)).\nAnswer: 35*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*s + 108*s - 55 = 213*s - 5*w, -21*w + 169 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k. What is the tens digit of g(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-16)\/(p**(-3)\/(p*p**0\/p)) assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (8 - (22 + -19)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -52*x + 4. What are the prime factors of h(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59190 divided by -4?\nAnswer: 29595\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 775611033 to the power of 1\/3, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 9802*k\/5 + 19612\/5.\nAnswer: -2*(k - 2)*(k + 4903)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/7 - 1114*v**2\/7 - 313564*v\/7 - 1841496\/7 = 0.\nAnswer: -554, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(122*a - 23*a + 46*a - 2)*(0 - 5 + 4) to the form s*a + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/(73\/2555)*45\/36?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235253011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*q - 31, 0 = 5*h - 3 - 2. Calculate the lowest common multiple of 7 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/536265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -9) + 36 + -13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-231)\/33)\/(-1*1) + -2 + 12. Solve x = 3*z + 2, -10 = -5*x + 13*z - h*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4\/13*m**3 + 4\/13*m**4 + 2\/13*m**5 - 8\/13*m**2 + 2\/13*m + 4\/13 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89 - -4a13?\nAnswer: 4aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415*a + 1378*a + 370 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-204*j - 376*j - 669*j - 87*j)*(8 - 1 - 3) as v*j + b and give v.\nAnswer: -5344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3\/2 + 432*x**2 - 861*x\/2 = 0. What is x?\nAnswer: 0, 1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2096 + -2086. Calculate the lowest common multiple of v and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.33606 + 1.12666. Let s = -10.1 + -0.1. Let a = s - z. What is a rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-2 + (-339)\/(-168)) is divided by ((-19)\/(-1))\/((-1)\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12485110 and 4.\nAnswer: 24970220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 3 - 17 = 0. Let n be 3 - 6\/1 - (-182)\/13. Solve -i - n = -4*c, 12 = 2*c + c - f*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*b + 31*b + 12*b)*(-b**2 + 2*b - 2*b)*(b**2 - b**2 + 4*b**2).\nAnswer: 480*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 28*a**2 - 82*a + 3. Calculate c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + (4 + sqrt(80) - -3*sqrt(20))*4)**2.\nAnswer: 1200*sqrt(5) + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10074, -39881, -89562, -159123, -248570, -357909?\nAnswer: -487146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.03369745 - -5.034. Round w to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -h + 137*m, 0 = 3*h + m - 1342 + 1355 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1397103246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (29 - (-5 + 147))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94830 and -0.8.\nAnswer: 75864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21088057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 18, -18, -184, -588, -1338, -2542, -4308?\nAnswer: -6744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5067 divide 1548249898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (126\/(-90))\/(16\/10). Which is the biggest value? (a) -3 (b) 1 (c) -2\/9 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (13 - -10) - (1 - 0) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/7*184220\/30200\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + 1 + ((sqrt(60)\/sqrt(6))\/sqrt(2) - (3*sqrt(720) - sqrt(720)))).\nAnswer: -115*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 - -416311?\nAnswer: 416370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.18848 - -0.1998. Round q to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -23. Let o(j) = j**2 - 9*j + 19. Let x be o(8). Let u be (x + -1)*(-40)\/16. Is m equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*q - 2*q + 45, -q = -4*u + 23. Suppose 0 = -u*m - 131 + 761. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262736 is divided by 3599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 4. Let p be ((-27)\/n)\/((-1)\/3). Let h = 44 + p. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l + 97*l - 5*m + 158 = 0, -2*l - 15*m = -17*m - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 7*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252268 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(112)*-3)*-2)**2.\nAnswer: -384*sqrt(7) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 4. Suppose 0*x - 12 = 4*x. Let i be j(x). Suppose 3*n - w = 23, -n - n + 3*w + 27 = 0. Solve -c = k + 5, i*c = -n*k + 2*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 10*f - 11. Let k be m(-4). Which is the second smallest value? (a) k (b) 2\/15 (c) 2\/11 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -9) + (0 - 11) + 4 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/3)\/(-2) + 1. Let g be 1*(18 + x\/3). Let b = 15 + 0. Calculate the greatest common factor of b and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*x - 107*x - 150*x - 140*x)*(0*x**2 + 0*x**2 + 2*x**2).\nAnswer: -158*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -156. Suppose 0 = 4*i - 7*i + y. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 44, 76, 120, 176, 244, 324?\n\"Answer: 6*z**2 + 2*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 1606*o + 512306. What is f(439)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdf when three letters picked without replacement from {q: 1, f: 3, c: 3, d: 1, e: 3, l: 2}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5\/5 + 3*u**4 - 15*u**3 - 39*u**2 + 72*u + 756\/5 = 0. What is u?\nAnswer: -7, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 53. Solve -n*j - 13 = -2*y, y = -2*y - 5*j - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**5\/5 - 3*v**4\/4 + v**3\/3 + 3*v**2\/2 - 2*v - 12. Let a(u) = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -j + 2*j + 16, -2*y = -2*j - 2. Sort y, -0.1, -2\/15, 2.\nAnswer: -2\/15, -0.1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = x - 330. Let i be -7 - ((-1659)\/x)\/(-7). What is the closest to -0.1 in -3, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58993820099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*r - 7, -4*j + r + 24 = -0*j. Let q be 19\/j - 3\/(-15). List the prime factors of ((-6)\/q)\/(3\/(-28)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*w + 56. Suppose -2*a + w + 19 = 0. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(252) + (1*-2*sqrt(252))**2 + 0 - ((-5 + 2 + sqrt(252))*3)**2).\nAnswer: -1345 + 330*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -278.06 + 278. Let f = -5.06 - p. Which is the fourth biggest value? (a) -1\/2 (b) 5\/2 (c) f (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -252196000 to the nearest 1000000.\nAnswer: -252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -488037.104 to the nearest one hundred.\nAnswer: -488000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1 - (-4 - -6)). What is the nearest to 2 in 5, 0.3, 2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -258*(-3 - -4) - 0. Let h = 576 + g. Is ((-6)\/18)\/((-2)\/h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Find i such that -49*i**5 + 543879*i**4 + 13313870*i**3 + 17332380*i**2 - 13215496*i + 2046816 = 0.\nAnswer: -23, -2, 2\/7, 11124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -4, 4, 3\/13, 40569?\nAnswer: 40569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*r + 60, 3*r + 2*r + 2*m - 92 = 0. Let z = r - 22. Let u be (0 - 0)\/(z*(-5)\/(-5)). Solve u*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n. Let s(p) = 18018044*p. Calculate s(d(i)).\nAnswer: 54054132*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-4)*h**(1\/6)\/h*h*(h*h*h**(1\/14))\/(h\/((h*h**10\/h)\/h)) assuming h is positive.\nAnswer: h**(152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 3, h: 3, c: 7, u: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 11. Let r = z + 30. Let v = r - 15. What is the least common multiple of 7 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 12:42 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 + 3 - 18*u - 4 + 6. List the prime factors of f(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4389157, 4389227, 4389297, 4389367, 4389437, 4389507?\n\"Answer: 70*x + 4389087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 2*t**2 - 4*t**3 + 3 - 2 to the form y + n*t**3 + l*t**2 + r*t and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93301950*f**3 + 148*f - 35696.\nAnswer: 559811700*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -8*r - 2*s - 82, 0 = 4*s - 12. Let b = r - -66. What is the highest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6177, 12581, 18981, 25377, 31769?\nAnswer: 38157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1001 - 1001. Let s(t) be the third derivative of 0*t + 0 + 0*t**3 - 1\/4*t**5 + 13*t**2 + c*t**4. Let n(g) = 2*g**2. What is s(n(o))?\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8060 by 5.\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-42)*((-561)\/34 - -15).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let h be 1 + 5\/25*5. Solve z = h*x - x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 34 = -i, -4*n - 2 = 10. Find h, given that 108*h**2 + 68*h + 15*h**3 - i*h**3 - 24 + 20*h**3 = 0.\nAnswer: -6, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238850224*m*x**5 + 7190345*m*x - 22*m wrt x?\nAnswer: 4777004480*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -20, -48, -96, -170, -276?\n\"Answer: -k**3 - k**2 - 4*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*c*h**4 - 5*c*h**2 - c*h + h**6 - 3*h**2 - 2 wrt h?\nAnswer: 6432*c*h + 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6464 + 58b?\nAnswer: -5cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l - 1. Let x(z) = 3*z. Let r(s) = 4*q(s) - 11*x(s). Let n(a) = 3*a - 5. Calculate -2*n(w) + 3*r(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 divided by 29?\nAnswer: -429\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51.43321 litres?\nAnswer: 51433.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Suppose -6 = -3*r, -3*o + 4 = -2*r - 4. Let s(i) = o*i - i - 2*i. Give g(s(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016088419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16525 and 379150.\nAnswer: 250618150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + -37. Let k be (-1)\/(o\/(-24) - 3). Let h be (0 + -2)\/((-3)\/k). Solve h*g + 9 = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 2*l - 11. Let d be z(5). Suppose -d*v + 47 + 11 = 0. Solve 4*x - v*y + y = -12, 5*y = 2*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w + 1771 = 1975 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2312\/7? (a) -0.02 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2039\/21 + 97. Let y = 0 + -5. What is the closest to 0 in -0.5, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2426 divided by -65\nAnswer: -2426\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -32*n - 183. Let i be x(-6). Suppose 370 = i*z - 719. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2614, -5230, -7846?\nAnswer: -10462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 28*i**2 + 32*i - 62. Let o(n) = -2*n**2 + n - 4. Let l(a) = 7*o(a) - x(a). What is l(12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**3 - 23*b**2 - 6*b + 1130. Let v(p) = -4*p**3 + 8*p**2 + 2*p - 377. Calculate 17*v(y) + 6*w(y).\nAnswer: -2*y**3 - 2*y**2 - 2*y + 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose w = -r + 3*r - 18. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boopdhdoddbmdbo. What is prob of picking 1 o, 1 b, and 1 h?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 3. Let n(m) = -4*m - 2. Let a(c) = 4*n(c) - 3*r(c). Suppose -u - 2*u + 6 = 0. Let p(b) = 5 + 3*b - 5. Give u*a(t) + 5*p(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, r: 1, n: 3, z: 1}. What is prob of sequence rzk?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2\/3*g**2 + 4\/3*g = 0. What is g?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*r**2 - r - 5812*r**3 + 4*r**4 + 84*r**4 + 5814*r**3 to the form a*r**3 + c*r + t*r**4 + n + s*r**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t - 5*t)*(-2 - 3*t**2 + 2) + 8*t + 5*t**3 - 8*t - 10*t**2 + 2*t**3 - 70*t + 70*t.\nAnswer: 4*t**3 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5173217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 927 and 6386.\nAnswer: 57474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 20*i**2 + 21*i - 62. What is the units digit of a(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -9*m**2\/2 + m + 1. Suppose 5*g = 14 - 64. Is i(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29, -51, 81\/5, -0.7, 4.\nAnswer: -51, -0.7, 3, 4, 81\/5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227194 by 13.\nAnswer: -227194\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12. Suppose -w + 12 + 18 = y. Calculate the highest common factor of w and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295443744 rounded to six decimal places?\nAnswer: -0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649830695.\nAnswer: 5, 17, 29, 47, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2) + 3)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 times -4169?\nAnswer: -300.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/((c**(1\/3)\/c)\/c*c*c)*c)**(-2\/5)*c*(c**11\/c*c)\/c*c*c*c**(-11))**(-29) assuming c is positive.\nAnswer: c**(-232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3)*-5 + 3 - ((2*sqrt(2430) + sqrt(2430) - sqrt(2430))\/sqrt(10))**2.\nAnswer: -969 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a meter in centimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15211852)\/(-118) - (10 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6365*n + 100323 = 30308 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2. Let b(u) = -51*u - 21. Let n = -8 + 12. Let g(k) = -2*k + 2 + 5*k - n*k + 6*k. Let s(l) = 2*b(l) + 21*g(l). Determine p(s(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/11)*p*p*p*p\/p**(2\/3))**(-35)\/((p**(2\/3)*p)\/(p**(2\/5)*p)*(p**5*p)\/p*p\/p**4) assuming p is positive.\nAnswer: p**(-26449\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15301 is divided by 3045?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 3}. Give prob of picking 1 e and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65161 (base 12) in base 10?\nAnswer: 133273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 256\/42 + (-840)\/315\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/171 - 61\/171. Let t = 4.1 - 4. Which is the closest to -2? (a) n (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 11?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 63, 1\/5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 less than -209456?\nAnswer: -209311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1322820127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1820 - -1819.6. Suppose -5*y + q = -14 - 8, 24 = 5*y - 2*q. What is the closest to y in m, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41459.24112 rounded to the nearest 10?\nAnswer: 41460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16827724033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**3 - 5*o**2 - 7*o - 7. Let y(g) be the second derivative of -3*g**5\/10 + g**4\/3 + g**3 + 3*g**2 + 2*g + 60. Give -7*y(j) - 6*z(j).\nAnswer: 6*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t - v + 5, 5*t = -4*v - 27. Let i(r) = r**3 + 4*r**2 + 3*r + 4. Let b be i(t). List the prime factors of b\/10 - 306\/(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*s = 60, 11*j = 8*j - 4*s + 50. Calculate the highest common divisor of 365 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125.13 + 129. Let k = 0.13 + p. What is the closest to -0.03 in k, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/161, -2\/5, 3, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -4 + 8 + (-6)\/2. What is the nearest to -0.2 in -1\/4, d, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 5*q**2 + 11*q + 4. Let z be 36\/(90\/10) - -3. Calculate w(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1112 + 162.1112. Is -3 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 15 = -1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 10 - 16)*(-1 - 2*a + 1)*(11 - 6 + 5).\nAnswer: 620*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67647095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -40. Let o(t) = -t**2 - 9*t - 7. What is o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18*(-36)\/(-60)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 + 2155*f**2 + 17480*f + 35120 = 0. What is f?\nAnswer: -4, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-46 - -15 - -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/4 - 40*h - 400.\nAnswer: 5*(h - 40)*(h + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 - (6 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 2*g**4 - g**4 + (-146*g**2 + 285*g**2 - 139*g**2 + 47*g**3)*(71*g + 64*g - 81*g).\nAnswer: 2539*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276.3 + 293. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -31. Let k = x + -53.969. Let i = k - 0.0309922. Round i to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17277481 is divided by 50?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -0.0065, 0, 10\/247 in decreasing order.\nAnswer: 10\/247, 0, -0.0065, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280*a = 1283*a - 45093. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1328\/(-22))\/(-2) + (-6)\/33. Let s = w + -34. Let k = 4 - s. Calculate the highest common factor of 64 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17377.656 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/21 + (-1256)\/(-14). Let c(q) = -5*q**2 + 10*q + 17. Let d be c(-6). Let j = d - -358. What is the greatest common factor of b and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 133 = j, 0 = -2*z - j + 2*j + 65. Let h = -29 + z. Suppose -93 = -2*p - 5*c, 0 = 3*p + h*c - 141 - 6. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2758 = 6*u - 2552. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c70 (base 16) to base 13\nAnswer: 8ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.19 - -0.19. Let d = 201 - 215. Let o = d - g. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) -0.1 (b) 127 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 5*q - 6. Let c be d(5). Let m be 1*2 + c\/(-6). Let j = m + -1. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318\/15 + (-1)\/5 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 4*v - 5*q, -32*v - 116 = -34*v + q. Let c(r) = -15*r**2 - 4*r. Let t(h) = -209*h**2 - 55*h. Determine v*c(l) - 4*t(l).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/27*(-3)\/(-14) - (-11)\/385. What is the smallest value in 441, 0.2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 825, -2, 17, 58 in increasing order.\nAnswer: -2, 17, 58, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/6)\/(-3 - -3 - (-12)\/18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**5\/30 + 5*w**4\/18 + 7*w**3\/9 + w**2 - 6*w. Suppose o(q) = 0. Calculate q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-382602)\/(-124))\/(-121))\/((-6)\/4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 8*q**2 + 2*q**2 + 12*q**2.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63405404?\nAnswer: 2, 631, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*w + 4*w - 3*w)*(w**2 - 1 + 1).\nAnswer: -w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - (-39074)\/7)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 568 - 564. What is the third derivative of 86*w**r + 63*w**4 - 18*w**4 - 147*w**2 + 3*w**2 + 10*w**2 wrt w?\nAnswer: 3144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 1\/8, -1\/63, 3, -0.5 in increasing order.\nAnswer: -0.5, -1\/63, 1\/8, 4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 20*y + 20. Let l be k(20). Suppose 0 = -l*r + 14298 - 578. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 84 = 4*t - 4*t + 4*t - 26*b, 5*t - 84 = 2*b for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 13\/8, 1\/4, 3 in decreasing order.\nAnswer: 3, 13\/8, 1\/4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75123 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: Which is bigger: -50062 or -50178?\nAnswer: -50062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 478568 and 7172.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 79*x + 966 = 43*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 98 + 40 + 113 + -205\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -15. Suppose -n*o + 180 = -3*o. Calculate the remainder when 67 is divided by (-3*184\/o)\/((-6)\/9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) -3 (c) 67 (d) 108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5454*c**2*j**3 + 16*c**2*j**2 + 164*c*j**5 - 4054*c*j - 2*j**2 wrt j.\nAnswer: 32724*c**2 + 9840*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2763, 5, -3, -1 in ascending order.\nAnswer: -3, -1, 5, 2763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from wwxxxpxpxsvx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6*y - 4)*(-1 + 6*y**2 + 1)*(-6 + 2*y + 6).\nAnswer: -72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 151. Let k be ((-16)\/(-3))\/((-10)\/198). Let z = k - -106. Which is the nearest to 0.1? (a) z (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 0*o**2 - 4*o**5 + (-3*o + 3*o - 2*o)*(o**4 + o - o) - 2*o + 2*o - 2*o**5 + 0*o + 3*o**5 + 0*o.\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2 - 2*w - 4. Let r(s) = -4*s - 6. Let v be r(4). Let y = 20 + v. Let t be f(y). Solve -t*i - i + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 48. Suppose z = 5*y + 2*y - 21. Suppose -5*r + 32 = 3*m + 7, y*r = -4*m + 37. Solve 4*a + m = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 17 = -x - 2, -2*d + 6 = -x. Let k = -24206 + 24201. Sort k, d, 0, 10 in decreasing order.\nAnswer: 10, d, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(208) + 3).\nAnswer: 6 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -110.866 and 511073?\nAnswer: 511183.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + z + 4653 - 1453, -4*z = -4*u + 2544. List the prime factors of u.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 43*n**3 + 6*n**2 - 6166*n + 3. Let o(d) = -72*d**3 - 10*d**2 + 12334*d - 5. Give 3*o(c) + 5*r(c).\nAnswer: -c**3 + 6172*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 3 - 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 324*p. Let t(f) = -40*f - 136. Let w(h) = -7*h - 24. Let c(o) = -6*t(o) + 34*w(o). Give c(i(l)).\nAnswer: 648*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 - 934*a - 872356 = 0.\nAnswer: -1868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1978 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1408828 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 21\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 d, and 1 i when four letters picked without replacement from {f: 7, p: 2, i: 5, d: 5}?\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1402\/3 - -19577\/42. Let k = y - -193\/182. What is the nearest to 0.1 in 2, -2\/15, k?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179099292\/7 greater than 25585612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*o + 275*o = -280*o + 117*o - 20473 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2935 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 10\/6321 in descending order.\nAnswer: 20, 10\/6321, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3459 is divided by 1187?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) + 316\/(-28). Let h = m + 22. Suppose -11 - h = v. What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 13 = 4*c - 55, 5*c - 20 = -4*a. What is the lowest common multiple of 96 and c?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 27. Let j = h - -41. Let v = -27.73 + j. Round v to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 447 = 195 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, -6, -1, 0, 11, -333 in ascending order.\nAnswer: -333, -6, -1, 0, 5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3930)\/(-4) - (-2)\/4. Suppose -h = -4*j + 3*u, -u - 469 - 24 = -2*j. Is j\/(-12)*3\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57763.8 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 299 + -299.4. Which is the nearest to -1\/7? (a) 0.3 (b) -12 (c) 5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2 + 2*y + 3 - 36*y**3 + 7*y**3. Let w be d(-1). Suppose -i + 2*n - 46 = -4*i, -2*i = 2*n - w. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0\/z)\/z)**4)**16*(((z\/(z\/(z*z*z\/(z\/(z**(-1)\/z)*z))))\/z)\/z*z\/z**(2\/11))\/(z\/(z**(-2\/7)*z))**11 assuming z is positive.\nAnswer: z**(-10266\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z + 7*z)*(3*z**2 - z**2 + z**2) + 4*z**3 - 3*z**3 - 5*z**3 + 4*z**3 + 4*z**3 - 3*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000401 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*i + 3. Suppose i = -10*b + 11*b. Let k(m) = m - 12. Let j be k(12). Put -4, j, 5, b in decreasing order.\nAnswer: 5, b, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 21*z**2 - 26*z - 114. Let g(u) = -3*u**2 + 119*u + 20. Let h be g(40). What is v(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 105 = -97. Differentiate -2*y**2 - 81*y**x + 25 + 65*y - 65*y - 93 wrt y.\nAnswer: -166*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 - 4*h + (2*h + 3*h + 3*h)*(-4 + 2 + 4).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65025507 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/n**(2\/3))\/(n*(n*n\/(n**(2\/7)*n))\/n*n**(-1)*n*n) assuming n is positive.\nAnswer: n**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63*((-1377)\/(-31212))\/((-18)\/(-17))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 225*i + 897. What is a(108)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*x - 16*x - 4*p - 10, -4*x - 18 = 5*p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185465 is divided by 1218.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by 7260\nAnswer: -37\/1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000176 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*p - 15. Suppose -3*o + 29 = -4*x, -56 = -3*o - p*x - 3. Solve -4*k - 3*v = -25 - 10, 5*k - o = 2*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17305051 is divided by 8652446.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -0. Suppose 9 = -y + b - 6, c = -b. Let d = 17 + y. Solve d = -g + 2*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2214*o**2. Let a(h) = 344*h**2. Determine a(i(j)).\nAnswer: 1686217824*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.6. Let x = 112\/3 + -38. Let d = 0.58 + -0.78. Which is the third biggest value? (a) d (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12350 and -93\/356060?\nAnswer: 23143900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133284163?\nAnswer: 103, 1294021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/22*(-1)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-2 + 7*p + 2) + (-2 + 2 + 3)*(p - p + 3*p).\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 299428231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - 0) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 15*h = -10*h - 35, 0 = -52*z + 50*z + 2*h - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139\/6 - 23. Let z = -0.25914 + 0.05914. Which is the second smallest value? (a) d (b) z (c) -0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000190666 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -31510000 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291882 divided by -3?\nAnswer: -1291882\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31043 is divided by 621?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f + 1\/10*f**2 + 1\/20*f**4 + 3 - 1\/100*f**5 - 1\/10*f**3. Let u(v) be the first derivative of z(v). Factor u(r).\nAnswer: -(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 14}. Give prob of picking 1 z and 1 l.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -229*s + s**2 - 7*s**2 + 233*s as d*s**2 + l*s + j and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54128 divided by 16?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 80033 and -713?\nAnswer: 80746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - t**2 + t**2)*(-2 + 2*t**2 + 2) + 3*t**2 + t**5 - 3*t**2 + (-306*t**5 + 108*t**4 - 108*t**4)*(0 + 6 + 29).\nAnswer: -10705*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70682 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.252215 - -99437.\nAnswer: 99436.747785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001447 rounded to six decimal places?\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*f*i - 2486*f wrt i.\nAnswer: -43*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t + 5*t + 11*t to a + j*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.95 + -8.95. Let u be -6*((-12)\/45)\/(-2). Let m = -0.1 + 0. What is the closest to m in -2\/5, u, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/(-165))\/(3\/2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 4*p - 6*p)*(-11*p**4 + 0*p**4 - p**4) + (-3*p**4 + p**4 + 3*p**4)*(2*p + 2*p - 3*p).\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186.9165585 milliseconds to weeks.\nAnswer: 0.00000030905515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99123601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1672*o + 392 - 16375*o - 392 to p*o + h and give p.\nAnswer: -18047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1650, -1860, -2068, -2274, -2478, -2680?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 368120208 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454071*a**2 - 454071*a**2 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvk when three letters picked without replacement from kkvvkkkvvvvvkkvkkvk.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 - (3 + -11 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 less than -0.3?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -511, -1583, -3635, -6985, -11951, -18851?\nAnswer: -28003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (sqrt(66) + ((sqrt(66) - -2*sqrt(66)) + sqrt(66))*1)\/(sqrt(60)\/sqrt(360)))**2.\nAnswer: -39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voyoiiyu. What is prob of sequence yo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381*z**3 + 735*z wrt z.\nAnswer: -2286*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 12*u - 22. Let z be r(9). Suppose -w - 20 = -z*w. Suppose -85 = w*p - 970. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.966 - -15.49. Let t = -0.044 - r. Let l = t - -16. What is the second biggest value in 1\/4, 3, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/24 - 2*a**3\/3 + 204*a**2. Let o(p) = p + 3. Let m be (-3)\/(-2)*10\/3. What is m*u(h) + 6*o(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5\/2 + 756*m**4 + 1509*m**3\/2 = 0?\nAnswer: -503, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0 - 2*f)*(-f + 2*f + 2*f)*(f**2 - 2*f**2 + 0*f**2).\nAnswer: 6*f**4 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-1)\/(-9)). Suppose -40*n + 46*n = 0. Find the second derivative of 2*a**5 + 3*a**5 + r*a + n*a**5 wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 - 70 = 28*n + 29 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 40 = -4*z. Is 22 a factor of 243 + (z\/(-6) - 12\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -9. Let l = 3 - 3.1. Let b = l + 0.2. Put b, -0.1, v in descending order.\nAnswer: b, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7505 and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209607689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 3*i**3 + 13*i - 11*i - 6*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.3 + -26.3. What is the biggest value in 2, -34, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -14. Is (0 - 2\/w) + (11 - -27) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 243 - 215. Which is bigger: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*d = -49*d - 69*d - 75*d - 4*r - 52, -24 = -3*d + 8*r for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-4 - (0 - 12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-84)\/(-140)*((-1680)\/(-36))\/(-14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -137\nAnswer: 16.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0.198 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**3 + 1. Let a(i) = 9*i**3 - 1. What is 4*a(l) + 3*d(l)?\nAnswer: 6*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 44. Let v(j) = -6 - 35*j - 8 + r*j. Let z(n) = -15*n - 5. Let w be z(-1). Determine v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (63\/14 + -5)*-10. Solve -3*w + 0 + 5 = -5*c, -21 = r*w - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/7, 4\/3, 9, -6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(11)*1 + (1*sqrt(121))\/sqrt(11) - -3*(sqrt(132)\/sqrt(3))\/sqrt(4))**2 - (5 + (6*sqrt(11)*-3 - (sqrt(99)\/(sqrt(9)*-1))**2)).\nAnswer: 17 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 11)\/(2\/(-14)). Let u(a) = -12271*a**2 - 8 + 12272*a**2 + 1 + a. Let b(r) = -r**2 + 11 - 3*r + 2*r - 1. Calculate c*u(s) - 5*b(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*w - 2 + 1086*w + 736*w - 3285*w + 735*w.\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2566589632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 4190862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 + 4*j**2 - j - 5. Let k(b) = -13*b**3 - 17*b**2 + 4*b + 21. Let d(u) = 2*k(u) + 9*s(u). Calculate d(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zev. What is prob of sequence zv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24a1 - 3?\nAnswer: -24a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 2*m + 44 = 70, -5*m = h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5336.878 litres?\nAnswer: 5336878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -330, -646, -974, -1314?\n\"Answer: -6*g**2 - 298*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 116106 + -7?\nAnswer: 116099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 786 + 779 + 777 - 2344 + 61*h**2 to b*h**2 + a + k*h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Calculate the smallest common multiple of 1\/(d - (-8)\/6) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*j + 2*j - 5*u, 2*u = -4*j + 12. Solve 5*p + j = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*f**4 + 8 + 14*f**2 - 40*f**2 - 12*f**4 + 26*f**2 - 4*f to o*f**4 + t*f**2 + j + k*f**3 + v*f and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22597*(-30 - 2)\/8. Let q = 136947 + z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -151*n - 3002. Give m(-23).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9703 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/6)*g*(g\/(g**11*g)*g)\/g*g)\/(g**(-11)*g**(-19)) assuming g is positive.\nAnswer: g**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0243 - 4.9757. Which is the closest to -0.13? (a) -1\/3 (b) v (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 - 5*u**2 + u + 9. Is 19 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6768, -8801, -10834, -12867, -14900, -16933?\n\"Answer: -2033*d - 4735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 9 = -3*j, 0 = -2*z + 6*j - 10*j - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 64*n**2 + 60*n**2 - n + n**3 - 2*n**4 to w + d*n**4 + j*n**2 + g*n**3 + v*n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(18)\/(-2*sqrt(6)) + (5*sqrt(12) + sqrt(3) - sqrt(3))))**2 - (1*sqrt(300) + -1 + (sqrt(300) + 0)**2*-3))*-5.\nAnswer: -23435\/4 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 4*s + 4*s)*(4*s + 5*s - 8*s - 3) as h*s + u*s**2 + p and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -191*i**2 - 7*i - 26. Let r(y) = 48*y**2 + 2*y + 6. What is 4*d(a) + 17*r(a)?\nAnswer: 52*a**2 + 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5807, 17?\nAnswer: -5807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -245102651 + -1?\nAnswer: -245102652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -75*f**2 + 11*f**2 + 38*f**2 + 13*f**2. Let y(w) = 21*w**2. Calculate y(c(t)).\nAnswer: 3549*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from aaaaabaaaaaab?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 157392 * -2195\nAnswer: -345475440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 9*b**2 + 9*b + 8. Let h be v(-8). Suppose 3*s + h*s - 6 = 0. What is l in l**4 - l**5 - 2*l**2 - l + l**2 + 1 - l**2 + s*l**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 (base 11) in base 16?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 255 = -f, 0*f + 4*f = s + 1059. Suppose -f = -3*r + 3*z, 2*r = -3*r - 2*z + 433. What are the prime factors of r?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 164174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/150 + w**4\/8 - 9*w**3\/10 + 145*w**2 + 1. Factor z(p).\nAnswer: (p + 9)*(2*p - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 49*t**4 - t**2\/2 + 2*t + 11. What is the units digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -605*c**2 - 2*c. Let x(m) = -25*m. What is x(q(u))?\nAnswer: 15125*u**2 + 50*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/n**2)\/(n*n**1)**31 assuming n is positive.\nAnswer: n**(-319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-6) - 2\/(-3). Is x bigger than 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5354463 microseconds to nanoseconds.\nAnswer: 535.4463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5. Let n be ((-2)\/4)\/(o\/2). Solve -n = -2*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(((2*sqrt(175))\/sqrt(5) + sqrt(35) - sqrt(35)) + sqrt(2240)*2))\/(-1*-4*sqrt(21)\/(1*sqrt(3))))**2.\nAnswer: 3645\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182515512 + 0.047536?\nAnswer: 4182515512.047536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 150\/(-57) + (3 - 1). Let d = 1250 - 1253. Which is the smallest value? (a) y (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:56 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(20)\/sqrt(4)) + ((sqrt(224)*1)\/sqrt(7))**2)*-6.\nAnswer: -192 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160701851 + 160701851 + 9*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(15)\/sqrt(3) + -5)**2 - sqrt(5)*3*-6) + -2.\nAnswer: 8*sqrt(5) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in -2\/5, -0.1, -2, 127.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -174 + 108*l + 49 + 43 + 48 + 40 as a*l + o and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11135936 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from voxo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1012 and -93\/232.\nAnswer: 58696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673759951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*q + 2*q, 0 = 3*v - 3*q + 18. Let z(s) = -s - 4. Let y be z(v). Let r be (y\/(-2))\/((-1)\/1). Solve 0*d - 2*d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 0.5, 11 in increasing order.\nAnswer: -1.3, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7205431127 to the power of 1\/2, to the nearest integer?\nAnswer: 84885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 36*l**2 - 28*l + 364. Determine t(-37).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5705.681007 - -3.394993. Let a = y + -5767. Let x = a - -58. What is x rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - o**3 - o**3)*(4*o**2 - 4*o**2 - 3*o**2) + o**5 + 0*o**5 - 3*o**5 + 0*o**5 + 4*o**5 - 6*o**5 + (4*o**3 - 5*o**3 - o**3)*(2*o**2 - 2*o + 2*o).\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llilvnitiilo. What is prob of picking 1 n and 1 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5)**4 assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a**2 + 740*a - 7. Let c(j) = -15*j**2 + 740*j - 8. Give -7*c(l) + 8*x(l).\nAnswer: -7*l**2 + 740*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**3\/4 + 3*z**2\/8 + 2. Suppose d(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 47*v + 4 = -51*v, -2*v - 2 = q. Suppose 4\/15*w**2 - 2\/15*w**3 + q - 2\/15*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 11158*s**3 + 222877*s**2 - 1303308*s + 1804356.\nAnswer: (s - 11138)*(s - 9)**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + u + 8. Suppose 3*f = 4*f. Let l be d(f). Suppose -297*w = 181*w - 814 - 3966. Are w and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 0*o - 2*o - 1941*o**2 + 3 + 1937*o**2. Suppose j + 2*p = 5, -j + 5*p - 4*p = 7. Give f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 121 + 125 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 42. What is k(-15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**3\/3 - 9*f**2\/2 + 14*f - 7. Let p be l(-10). Let v = 7 + -3. Is p bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(11) + 5).\nAnswer: -8*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 6*k**2 + 8*k + 7. Let t be l(-5). Is 25 a factor of 3\/t - 3212\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10638 and -10626 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11829*i**2 - 3484 with respect to i.\nAnswer: 23658*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 437 - 146. Calculate the greatest common factor of h and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 14*n + 3. Let t = 60176 + -59876. Calculate the remainder when t is divided by j(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -198*w - 17. Let f(j) = 3. Determine 5*f(i) + t(i).\nAnswer: -198*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {w: 1, t: 1, q: 1, n: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*v - 35*v**5 + 32*v**5 + 6*v + 45*v**5 wrt v?\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5 + (-4*sqrt(2057)*4 - (sqrt(2057) - (-2 + sqrt(2057)*-6))))**2 + 2)*4.\nAnswer: -6072*sqrt(17) + 4352652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 19 = -4*d, k = -0*k + 1. Let m be -2*(-1)\/4*2. Calculate the remainder when (-22)\/(6\/(-3)) - m is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(1280\/624)*4*(-2)\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*c + 4611 = -721*c - 8688 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 232*v + 2683. What is x(11)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-10)\/(-6) + -2). Let l(j) = -j**2 - j. Let b(o) = 4*o**2 + 3*o. Let i(c) = -5*c**2 - 3*c. Let t(h) = -3*b(h) - 2*i(h). Calculate w*l(v) + t(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqqqqfffrkbf. Give prob of sequence kr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 50. Let b(o) = -2*o + 48. Let v(f) = -2*b(f) + 3*h(f). Let c be v(-7). Factor 5\/4*g**2 + 15\/4 + c*g.\nAnswer: 5*(g + 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 6*t + 13. Let h be o(-7). Suppose 9*b - h = 7*b. Suppose -5*a + b = -0*a. Put 0, a, 3, 1 in decreasing order.\nAnswer: 3, a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a4 + 76?\nAnswer: -32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9828107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2440 - 30446?\nAnswer: -25006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzm when three letters picked without replacement from {m: 3, z: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 194 + 4 = -11*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 34. Let l(t) = 3*t + 14. What is the remainder when k(-8) is divided by l(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 361, 541, 721, 901, 1081?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*1)\/(sqrt(144)\/(-1*sqrt(12))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 1\/3*y**3 - 15 + 7\/4*y**2 - 2*y. Suppose u(s) = 0. Calculate s.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 29*k**2 + 3 + 27*k**2 + 3 + 2*k + 2*k**4 to the form p*k**2 + n*k + x + d*k**4 + w*k**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20350)\/1110*60\/(-22)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:06 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and -610446.\nAnswer: -1587159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, o: 2, f: 3, n: 1, q: 4}. What is prob of sequence ogn?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101.6949 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, d: 2, a: 1, r: 2, n: 2}. Give prob of sequence ro.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/3))**48 assuming r is positive.\nAnswer: r**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1823904 - 0.17459273. Let u = 0.0078 - z. Round u to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.92 + 0.08. Let y = -1 + -3. Let v = b + y. Which is smaller: v or 0.05?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h + 2*h + 97*h = 3904 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1010 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/4)\/14*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**2 - 5836 - x**3 + 5836 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*a + h - 49, 2*a - 6*h - 22 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 392, 375, 342, 287, 204?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -27174?\nAnswer: -1\/4529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.074, -5, 4, 4\/3?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -18*u - 80. Calculate the smallest common multiple of m(-10) and 6.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/2*-23 - 191\/18145*1045.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -4, 3, -3563, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8496 and 837?\nAnswer: 790128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 - 103*o**4\/3 + 126*o**3 + 1762*o**2\/3 + 1973*o\/3 + 231.\nAnswer: (o - 99)*(o - 7)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/667404 and -83\/1835361?\nAnswer: 7341444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720285 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-124))\/((-219)\/(-292))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 78 = 4*v - 86, 4*v - 162 = -3*p. What is the highest common divisor of v and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/100824 and 109\/150.\nAnswer: 2520600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 + 29650*w**3 - 52144092*w**2 + 29121759576*w - 5359409009136 = 0 for w.\nAnswer: -16463, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130.37 - 135.37. Sort 0.1, 2, -0.1, m in ascending order.\nAnswer: m, -0.1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, -3\/14, -1182, 0.2, -4, 97, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 16*i**2 - 20*i + 65. Give b(-17).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3 - -5.3542. Let d = n - 24.3542. Let o = d - -24.501. Round o to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281302515 to the nearest ten thousand.\nAnswer: -281300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwonnnwonnwwwonnv. Give prob of sequence nv.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2377*h**3 - 2*h**4 + 3*h**4 - 2221*h**3)*(2 + 0 + 1).\nAnswer: 3*h**4 + 468*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4455, -17811, -40079, -71265, -111375, -160415, -218391?\nAnswer: -285309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - 7 - ((8 - (10 - 2)) + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/20 - 7*c**4\/12 - c**3 - 7*c**2\/2 + 33*c - 1. Calculate y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = 4*d. Let o = -19\/280 - 2\/35. Let l = 5\/8 + o. Which is the second smallest value? (a) d (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s - 90. Let v = s + -19. Solve v*c = -2*c - 5*g + 30, -2*c - 5*g + 21 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 <= 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n**5 + 111080*n**4 - 86260*n**2 wrt n?\nAnswer: 360*n**2 + 2665920*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*i - 80, -i + 2*t = -16 - 9. Let v = 22 - 18. Suppose 41 = v*y - i. Solve 4*a + y + 6 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80187596.3 to the nearest 10000.\nAnswer: 80190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + (6 - (5 - (-4 - 1))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 5*q**3 - 1975*q + 12*q**2 + 1972*q + 4*q**3 + 9*q**2 in the form l + h*q**2 + b*q + g*q**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4. Find the common denominator of 2 - w\/(18\/(-195)) and 121\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - 59\/10)\/((-6)\/5) and -39\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254677.3l to millilitres.\nAnswer: 254677300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4. Let l(f) = 1. Let u(h) = 3*l(h) + w(h). Let p(v) = v + 1. Let g be p(-2). Let q(i) = -i + 7. Give g*q(z) - 6*u(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 2*y**2 - y - 3. Let o be u(3). Suppose 3 = t + z, o*t + 0*z + z - 3 = 0. Suppose 0*d - 3*d + 6 = t. Solve -9 = -g - d*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -502, -507, -516, -529, -546, -567, -592?\n\"Answer: -2*k**2 + k - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let y be (-2)\/(-2) - (-5 - -4). Suppose -y*d - 3 + 1 = 0. Let k be m(d). Solve -j + 0 + k = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 - x**2 + 3*x**2 - 8*x**3 + 3*x**4 to the form o*x**4 + t*x**3 + d + g*x**2 + y*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 569 + -563. Let s(o) be the third derivative of -1\/3*o**3 + 1\/6*o**4 + 7\/240*o**u + 19\/120*o**5 + 0*o + 0 + 3*o**2. Factor s(i).\nAnswer: (i + 1)*(i + 2)*(7*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 54 = -142. Let c = 32 + y. Let q = c - -57. Which is smaller: 14\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 29*u**2 - 57*u + 200. Let m be l(-31). Calculate the greatest common factor of m and 6135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(4\/(6 - -18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 3)\/(2 - 0). Suppose 2*z - 5 = y, -2*y + p*y + z = 1. Let v(h) = -7*h + 5. Let f(j) = 7*j - 4. Let m(n) = 4*f(n) + 3*v(n). Calculate m(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 - (-1996)\/6. Suppose d = 3*t + 2*z, t - 327 = -2*t + 3*z. Suppose y - t = -4*y. Calculate the remainder when 41 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*q**2 - 3 + 0*q**2 + 0*q**2 - 2*q**2 + (13*q + 24*q + 3*q)*(-q - 4*q + 4*q) - 4 - 5*q**2 + 2 + 4 to the form i + g*q**2 + m*q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19405, 37770, 56135, 74500?\nAnswer: 92865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5864 is divided by 416?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(475) + (sqrt(475)*-3 - sqrt(475)) + 4 - ((sqrt(475) - (-2 + (sqrt(475) - 3*sqrt(475)) + sqrt(475))) + 3))**2*-1.\nAnswer: -11891 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6\/11, 1, 506, -3\/4, -0.5, -237?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658.4254 months in millennia?\nAnswer: 0.22153545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3\/3 - 4*q**2 + 7*q - 892. Give j(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 17*f - 33*f - 90 + 11*f. Let p(n) = n**2. Give p(d(q)).\nAnswer: 25*q**2 + 900*q + 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 186457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -39. Suppose 0 = -52*b - 39 - 169. Sort -2, x, 2, b in increasing order.\nAnswer: b, -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*((m**(-7)*m)\/m)\/m)*m)\/m*m*m)\/((m\/(m\/((m*m\/m**10)\/m)))\/m)*(m*m**(1\/3))\/m**(2\/7) assuming m is positive.\nAnswer: m**(442\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/17)*s**(1\/3)\/s*(s**(-1)*s)**(-3\/22))\/((s**(-1))**(23\/5)*(s**(1\/5)\/s)\/(s\/s**(-4))) assuming s is positive.\nAnswer: s**(2512\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 divided by 3?\nAnswer: 244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 10:10 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/20 + z**4\/4 + 2*z**3\/3 - z**2 + 692*z. Give u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.4113584 - 437.5891116. Let s = q - -446. What is s rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15239419.\nAnswer: 13, 571, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -89*a**3\/6 + a**2 - a. Let m be o(-2). Suppose -3*j - j = 4*h - m, -5*j + 4*h + 216 = 0. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 372 + 86. Calculate the common denominator of ((-7)\/14)\/((-3)\/(-127)) and (h\/72 + 4 + -7)*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/2 of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**3 - 15*v + 46*v + 1 - 2*v**2 - 2*v**3 - 2*v**4 - 30*v as y*v**3 + p + x*v + f*v**2 + b*v**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -433456588\/45 + 9632754. Let k = 1903\/5 - z. Find the common denominator of 35\/9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/3)\/((-6)\/(17 - -1)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*i**3 - 4*i**3 + 2072 + 47*i**3 + 0*i**2 + 0*i**2 - 2073.\nAnswer: 152*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 391930000 to the nearest 1000000.\nAnswer: 392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**2 - 19*x + 3. Let k(z) = 16*z**2 + 37*z - 7. Let o(v) = 4*k(v) + 7*y(v). Let b = -27 + 21. Is o(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -91. Let k(j) = -416 + 417 - 3*j**2 + 3*j - j**s. Suppose 0*d + 1 = d. Let w(z) = z**2 - z. Determine d*k(y) + 2*w(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 1765291, 3529901, 5294511, 7059121, 8823731, 10588341?\n\"Answer: 1764610*a + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 12*h - 6. Let r be g(12). Let u = 9 + r. Suppose 4 = u*n - 4*n. Sort n, 0, -5 in decreasing order.\nAnswer: 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8013 + 8013 - 434*b - 144*b.\nAnswer: -578*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 44*v**2 - 106*v**2 + 47*v**2. Let l be (5 - 3) + 0\/(-2). Let t(s) = -9*s**2 + 7*s**2 + 3*s**l. Calculate t(m(f)).\nAnswer: 225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(4\/11)\/t))\/t*t*t**12*(t*t*t**(2\/3)\/t*t)**48 assuming t is positive.\nAnswer: t**(1558\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 + 121. Solve x + 4*x + 14 = 2*z, -5*x - 26 = y*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 606, 1385, 2476, 3879?\nAnswer: 5594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -2\/5, -3, -301848 in ascending order.\nAnswer: -301848, -3, -2\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f + 1. Let r(c) = -41*c + 5. Let j(x) = 2*r(x) - 11*u(x). What is j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d269097 + -5?\nAnswer: -d26909c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1944\/(-35856))\/(12\/(-166))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*n**3 + 501*n**3 - 250*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 236?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1720255, 1720259, 1720263?\nAnswer: 1720267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-11)\/1)\/((-13)\/5499)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -14*u + 1001. What is the greatest common divisor of 65 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.3, -3\/4, -2.6, -3 in descending order.\nAnswer: 4.3, -3\/4, -2.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -57.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(7) + 3))**2 - (sqrt(70)*-1)\/sqrt(10)*4.\nAnswer: 1024 + 388*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7787 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2598 - -2600. Let y(g) be the second derivative of 0 - 17\/6*g**3 - 11\/6*g**4 - 25*g + 0*g**a. Find the second derivative of y(c) wrt c.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49239218 divided by 502441.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644168 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -184383498 to the nearest 1000000.\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 987679464 a multiple of 907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -343 + 381.1. Let h = i + -40. Let m = h + 1.5. Round m to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39305952, 39305949, 39305946, 39305943?\nAnswer: 39305940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -257\/5, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c)*(2 - c**3 - 2) - 4*c**4 - c**4 + c**4 + 4*c**3 + c**4 - 4*c**3.\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07806451227 and 2.\nAnswer: 2.07806451227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzdz when four letters picked without replacement from {d: 2, t: 3, a: 8, z: 7}.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l**2 - 2612697 + 2612697. Let o(m) = -5 + 5 - 4*m**2. Give j(o(t)).\nAnswer: 160*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.86 - 0.86. Let a = z - 75. Let q = a + 16. What is the second smallest value in -2\/3, -2\/7, q, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7378*f - 512 = 7362*f for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 6:23 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -9*b - 558. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*q = 3*y - 2, -4*y + q - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**5 - 10*t**5 - 3*t**5 + (-2*t**4 - t**4 + t**4)*(-3*t + 4*t + 0*t) - 2*t**5 - t**2 + t**2)*(-61 + 54 - 271)*(0 + 0 - 2).\nAnswer: -7228*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -613065*f*k*x - 2*f*k - 33*f + 43145*k wrt x.\nAnswer: -613065*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 17*f**5\/4 + f**3\/3 - f**2 - 32*f. What are the prime factors of g(1)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 25*l - 27. What is y(15)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1 + (1 + 4 - 4)*(3 - 3 - 2))*((-12*v**3 + 74*v**2 - 74*v**2)*(-2 - 2 + 2) + (-4*v**2 - 2 + 2)*(-4 - 3*v + 4)).\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-2277)\/552).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 3. Suppose 2*p = 16*p - 42. Let a(l) be the third derivative of l**5\/30 - 5*l**3\/3 - l**2. Calculate p*a(v) - 10*g(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23418, 23359, 23300?\nAnswer: 23241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944 a factor of 76752612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-146)\/(-73))\/(-2*16)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2 - 2)*(-5 + 3 + 4)*(-2*c**2 + 0*c**2 + 0*c**2).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77208*k - 16*k**2 - 25734*k - 25736*k - 25738*k.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + q - 1. Let w(d) = -4*d**3 + 2*d + 17. Determine 3*p(x) - w(x).\nAnswer: -2*x**3 + x - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -12, -20 in ascending order.\nAnswer: -20, -12, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dffvmmfvtmmvtdvvmm. What is prob of picking 1 f, 2 t, and 1 m?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 - ((3 - 11) + (0 - -7)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 483523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14889325579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -t + 3*c, 31 = -3*t - 7*c + 3*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3886 = 40*f - 3886 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1283 + 1283.0037. Let p = -3.7664 + 3.8. Let l = p + d. Round l to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*x + 7*x = 12, -2*n - 4*x = -12. Solve b + n = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*r - 2*r + 83 = 0, -c - 4*r = 52. Let o be (1 + 2668\/(-8))*c. Round o to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*d = -67, z + d + 11 = 82. 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: Which is the fifth biggest value? (a) -0.6 (b) -2 (c) 2\/9 (d) 5 (e) 0.23 (f) -0.5 (g) 21\/20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 - 323.5. Which is the smallest value? (a) j (b) 6 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 20 (b) -21 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 33 + 15. Let v(j) = -j + 4. Let w be v(0). Put w, -4, x in increasing order.\nAnswer: -4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + f = -2*f + 280, 4*a + 5*f = 556. Suppose 7*w - j - 321 = 2*w, j - a = -2*w. What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59226183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = u + 4*u - 10, -u = 2*y - 2. Let w(z) be the first derivative of 1\/2*z**2 + u + 0*z. Let d(i) = 2*i**2. Determine d(w(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Suppose 4*z + 3*f - b*f = 15, 0 = z - f. Suppose z*q - 24 = -2*v + 50, 0 = 2*v - 4. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 9) in base 4?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 4*r - 2. Let x be q(-2). Let p(b) = 3*b**2 - 689*b - 690. Let s be p(-1). Solve x*g - 7*g = -s*d - 31, -4*d + 2*g = 22 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24236, 48467, 72698, 96929, 121160?\nAnswer: 145391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/(n*n**(1\/4)))\/n*n)*n)**40\/(n*n*(((n*n*n\/n**9*n)\/n)\/n)\/n*n*n**(-2\/21))*((n**0)**(-2\/43))**21 assuming n is positive.\nAnswer: n**(1157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2042 - o + 2042.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i**2 + 34*i + 1. Let g(l) = -7*l**2 - 34*l - 1. Give 7*g(z) + 6*k(z).\nAnswer: -z**2 - 34*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42068 + -26792. Is g a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6525 - 1927 + 2377 = o - 76*h, 5*o = -h + 105 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43238551.\nAnswer: 23, 1879937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 550967 - 550967.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3015 - 5055 = -283*n + 278*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 + 11*z + 17. What is n(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 533, 549, 565, 581?\n\"Answer: 16*o + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -675 - -969. What is the remainder when k is divided by 77?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 18*k + 0*k in the form s*k + w and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52514.\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**4\/4 - 3*v - 7. Let o(k) = -k + 4. Determine w(o(b)).\nAnswer: -3*b**2 + 24*b - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 458850 and 2415?\nAnswer: 458850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 79.3. Let f = i + -11.4. Let y = f + 6. Which is the closest to 1\/3? (a) y (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(14\/4) + 4. Determine w so that -w**3 - 41 + 42 - 6*w**2 + 5*w**t + w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36128?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/3, 0.3, 24 in descending order.\nAnswer: 24, 2\/3, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 0.0293806614.\nAnswer: 0.0593806614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 1\/28*i**8 + 0 - 3\/40*i**6 + 1\/20*i**5 - 3*i**2 + 0*i + 0*i**7 + 0*i**4 + 0*i**3. Factor b(m).\nAnswer: 3*m**2*(m + 1)*(2*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16a (base 14) to base 5\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2487.69 rounded to the nearest 10?\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 5}. Give prob of sequence jooj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19678372 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 204*o - 5095. Let j be b(25). Solve 36*i = -j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n + 4. Let r be h(0). Suppose r*s + 234 = -538. Let a = -91 - s. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527 (base 8) in base 6?\nAnswer: -3543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**2 + 142*y + 606. Determine a(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21331 - -21120?\nAnswer: 103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3831324 and 2856?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168699.\nAnswer: 3, 53, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 941193401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h = 299759 - 299255 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/3*(-2)\/2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 0, -7, -30\/7 in ascending order.\nAnswer: -7, -30\/7, -0.2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let a be v(-4). Suppose 2*c = a*c. Solve -3*d = y - 4, 3*d - 5*d + 4 = c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 970 - 184. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18*(w*w**(-1\/3))\/w)\/(w*w**(5\/2))**(-39) assuming w is positive.\nAnswer: w**(925\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 137170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - 0.1. Let f = -32659\/470 + -3\/235. Let p = -68 - f. What is the nearest to 1\/4 in k, p, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191972 and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 615857340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let q(i) be the second derivative of -2*i**5\/15 + 7*i**3\/6 - 9*i. Let p(g) be the second derivative of q(g). Calculate u(p(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134020 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, i: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2. Let p(n) = -10*n. Calculate p(s(a)).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 4, p: 4, w: 1, j: 3, b: 1}. What is prob of sequence bjj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, q: 8, u: 1, s: 1, f: 4, y: 2}. What is prob of picking 2 f?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/2375)\/((7 - (4 + -1)) + -2)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -0.01, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcyer. What is prob of sequence ce?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7809 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057514527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010010011 (base 2) to base 11.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.39501 and 13016.\nAnswer: 13016.39501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) - (sqrt(119)*2 + sqrt(119))) - sqrt(119))\/(-2*sqrt(567) - sqrt(7)) + -1 + (sqrt(136)\/(sqrt(512)*2) - (1*(sqrt(17) + sqrt(153)) + -4)).\nAnswer: -989*sqrt(17)\/304 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2459.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896 + 2*c**2 - 884 + 1780.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**3 - 7*u**2 - 452*u + 7. Let c(v) = 5*v**3 + 4*v**2 + 228*v - 4. Determine 7*c(g) + 4*n(g).\nAnswer: -g**3 - 212*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 6*y**2 + y - 7. Let f be i(6). Which is the closest to -0.6? (a) -5 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 3*i + 0*i**2 - 2*i**2. Let s(w) = -11*w**2. What is b(s(q))?\nAnswer: -242*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 h, and 2 r when four letters picked without replacement from {j: 7, r: 4, w: 2, h: 2, m: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/((-85)\/(-136)))\/((-2)\/28). Calculate the greatest common divisor of 288 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 0*i + i**3 - 9*i**2 + 0 + 1\/180*i**6 - 1\/18*i**5 + 1\/12*i**4. Factor f(d).\nAnswer: 2*(d - 3)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 83 - 27 = -3*f, 2*f - 112 = -4*n. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1182 - 774. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 63 + 69. Differentiate -4 - h - 65*n + 32 - 2 wrt n.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) -2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 2 + 2)*((22 - 12 + 112)*(0 - 3 + 4) + 0 + 3 + 0) to the form s + m*a and give m.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 28. Suppose 0 = -3*m - 2*z + 1210, -c*m + 814 + 376 = -2*z. Factor 448*t + 217*t**4 - 222*t**4 - 64 + 505*t**4 + m*t**3 - 960*t**2.\nAnswer: 4*(t + 2)*(5*t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/20 - 238\/(-8). Let z be (-1)\/(-4) + 7\/4. Suppose g + z*g - 18 = 0. Calculate the greatest common divisor of g and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 262313 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 12:42 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5. Let g be k*(-4)\/(-12)*0. Suppose 4*z + 88 = 4*s - z, g = s - 3*z - 29. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-7) + 4\/14. Suppose -71 + 51 = -4*b. Suppose a + 4 + 1 = 0, -d*p + 205 = -b*a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002345751 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Suppose -19 = 7*l - 5. What is m(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Let a = 23 - 14. Let t = -8.7 + a. Put c, -0.5, t in descending order.\nAnswer: c, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13015 and 262355.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -27393137983531.\nAnswer: -27393137983526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22*y + 3. Let s(r) = -133*r + 19. Give 3*s(l) - 19*x(l).\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11236245827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64.31 + 50.31. Which is smaller: -128 or g?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f*f**(-13)\/f*f))*f)\/((f\/((f**(-6)*f)\/f))\/f*f*f)*(f*f**(-10))\/(f*f*f*f**0*f*f*f*f*f) assuming f is positive.\nAnswer: f**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 259010393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 10*q + 6*q = 18, 0 = -3*h - 2*q + 109547 - 109565 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g - 41*g - 108792*g**3 - 136289*g**3.\nAnswer: -245081*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 94*g - 45. Let s be h(-24). Let u = -5 - -9. Solve 0 = -u*c - 4*q - q - 11, 3*c + 9 = -s*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 118. Suppose 0 = -f + 1, -6*f = 5*g - c*f - 42. Let w(x) = -x**3 + 9*x**2 - 9*x - 1. Determine w(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 9*h**2 + 11*h + 10. Let g = -13 + 23. What is the lowest common multiple of 10 and r(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1644 and 113984?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 353607919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 697252655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 112*c - 338\/3.\nAnswer: 2*(c - 169)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 3*p - 21 + 23*p**2.\nAnswer: 23*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48, 59, 70, 81, 92, 103?\n\"Answer: 11*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2405, -3391, -4377?\n\"Answer: -986*k - 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(117) + -2).\nAnswer: -4 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 58. Let q = -26 - k. Suppose 4*s - q + 1 = 0. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 - -246. Suppose 11*g - x = 25. Let s(n) = 2*n - 4*n + 6 + 0*n. Determine s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 + c + 3. Let q(g) = g**2 - 3*g + 2. Let t be q(2). Let w be t - (3\/3 - 1). Let a be s(w). What is the second smallest value in 4, a, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:59 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455*l = -465*l + 35460. List the prime factors of l.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 32, -4, -86, -232, -460, -788?\n\"Answer: -3*u**3 + 4*u**2 + u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.4212833 to one decimal place.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8082.801 centuries to decades.\nAnswer: 80828.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*m - 325 + 295, j - 21 = 4*m for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*u. Let c be u*1 + (-5 - -2). Let a be 1 - 7*2\/12. Do a and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 178*l - 8. Let n = 70 + -48. Suppose -n = -3*u - 4. Let p be z(u). Round p to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 2*w**3\/3 + 4*w**2 + 20*w + 8. Let i be y(-4). Suppose -i = -5*t + h, 5*t - 2*h = 33 - 13. Solve 1 = t*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 1)*(3*y**2 + 0*y**2 + 0*y**2 + (y - 4*y + y)*(5 - 6*y - 5)).\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.5 + -17. Let x = -16.6 - r. Round x to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (2 - -2*(8 + -3)). Let c be (-1*10)\/(5 - (7 + 0)). Sort 4, o, c.\nAnswer: o, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**3\/3 - 17*p + 16. Find the first derivative of g(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/7 and 86\/55209.\nAnswer: 55209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 21*t - 2344. Calculate the remainder when f(-64) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018395 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8306\/6227 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 - 5*p**4 + p**3 - 4*p + 13*p**4 - 4*p**2 - 4*p**4 - 2 to q*p**3 + f*p**2 + g + i*p + j*p**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5377 - 5332. Solve -25*b = -y*b - 120 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - l - 9 = 0, 3*l - 61 + 60 = -5*f. Let r(i) = 3*i. Let n = -6 + 7. Let g be r(n). Solve 2*w = f*s, -s + w + 3*w = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 - 539*w + 23498. Determine n(-122).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -365*h**2. Let o(s) = -116*s. Calculate d(o(l)).\nAnswer: -4911440*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -68. What is the second derivative of 2*h**z + 61 + 60 - 118 - 23*h - 30*h**2 wrt h?\nAnswer: 24*h**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(21\/(-18)))\/2. Suppose g = 3*v - 9. Let o be 0*2\/(-4) - -15. Solve 3*r = v*q + 19, -o = r - 4*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2 - 3*q - 4 + 3. Let v(z) = -z + 12. Let s be v(14). What is x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 279 + 289. List the prime factors of j.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:09 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17913 and 1493667?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -64*o - 2422. Determine x(-22).\nAnswer: -1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**2*v**3 - 1200*f**2*v - 33*v**3 wrt v.\nAnswer: 66*f**2*v - 198*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k\/(k**(2\/9)\/k)*(k**(-2\/23)*k)\/(k**(-2\/5)\/k))\/((((k*((k*k**(-2\/7))\/k)\/k*k)\/k)\/k)**(-3\/20)\/(k**(-2\/3)*k*k\/k**2*k)) assuming k is positive.\nAnswer: k**(209563\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044576 divided by -32?\nAnswer: 63893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42053909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 855a17 - -18?\nAnswer: 855a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(32) - -2*sqrt(63).\nAnswer: 13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4641.591 millilitres?\nAnswer: 4.641591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233 + 226 + 10 + (1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1)\/s)*s*s**(-2\/7)*(s**(-1\/6))**(-21))**(1\/4) assuming s is positive.\nAnswer: s**(101\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 - x**3 - 32 + 33 - 3*x**2 + 18*x to the form v*x**3 + n*x**2 + w + m*x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -242\/35 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 109*o + 59. Let h be m(-54). Solve 0 + 3\/2*p**2 - 3\/2*p**4 - p + 1\/2*p**h + 1\/2*p**3 = 0 for p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 4*z + 4. Let g(w) = -2*w**2 + 6*w + 4. Let s be g(4). Determine x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:00 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 4*d - p, 5*d + 2*p - 241 = 185. Let z = d - 85. Solve b + z = 0, -l + 6*l - b = -14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -10*j**6\/3 - 2*j**5\/5 + 43*j**4\/4 + 6425*j**2\/2 + 7746. Find the second derivative of b(o) wrt o.\nAnswer: -400*o**3 - 24*o**2 + 258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 127.\nAnswer: -63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1357 is divided by 58?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11981 = 22834. Suppose 3*g - 6069 = s. Let u = 2583 + g. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*k**2 + 7 + 179*k**2 + 1031*k**3 + 0 - 9.\nAnswer: 1031*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Find the third derivative of -3*a**4 - a**o + 3*a - a - 2*a wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 5*t**2 + 10*t + 8. Let w be q(-6). Let v(k) = -k**2 + 15*k + 3. Let l be v(18). Let u = w - l. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724411 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(42)\/sqrt(2) - sqrt(21))\/sqrt(3) - sqrt(7))*-5.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34116347*d**4 + d**3 - 5849940?\nAnswer: 136465388*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/17208 and -95\/214?\nAnswer: 1841256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7*x = -6. Suppose -x = -b + 3. What is the third derivative of b*i**6 + 2*i**6 - 5*i**6 + 2*i**2 wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -420 + -1?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from mmudmvdvdmdqdmmuunv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 8*z**2 - 6*z. Let r(s) = -2*s**3 + 7*s**2 + 5*s - 1. Let g(d) = 4*r(d) + 3*t(d). Factor g(x).\nAnswer: -2*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -466*r**2 + 247898*r - 247898*r to the form x*r + j + z*r**2 and give z.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 times 211?\nAnswer: 14348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -9 - -6)*0. Suppose -3*g + 3 - 7 = j, -g - 2*j - 8 = y. Solve -2*h = s + 6, g*s - 3*s - h + 7 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31568\/3893 + -138\/17. Let f = l + 488\/3435. Let n = -0.18 + 0.18. What is the smallest value in n, f, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - sqrt(133)*2)*-4 - -6*(sqrt(133)*-2 - sqrt(133) - sqrt(133)))\/(1*sqrt(700)*2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6 - 5)*(-2)\/1. Let m(n) = 25*n - 57. Let s be m(t). Suppose -11*h - s = -13*h. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 1, -99 in descending order.\nAnswer: 1, -2, -11, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.13 and 30 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + -132. Let r be (s - 14) + 1 - -7. Is 4\/29 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(1539) + 4)*-4.\nAnswer: -36*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 25*y**2 - 2*y - 50. Let c be w(-25). Suppose 0 = -b - 4*q + 26, -4*b + 9*b + q - 111 = c. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 2*t + 317 - 4*t.\nAnswer: -4*t + 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjjcjjjenbnceananj. Give prob of picking 2 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4117 = 5*d + 1557. Suppose h + 3*c + d = 3*h, -3*h = 2*c - 768. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11184557495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17843 - 23489. Is -2 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -27 + -14 + 15 + 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1560.\nAnswer: -1\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzefzfzevfzfz. Give prob of sequence ffe.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.9. Let l = -0.06 + -0.14. What is the closest to f in -3, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 4*w - 25. Let x be a(-11). Suppose 58*j - 11658 = x*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*c - 12, -c = 2*c + z - 8. Suppose -c*w + w + 4 = 0. Find h such that -17*h - 2*h**3 + 7*h**w - 15*h - 23*h**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -22*l + 43. Let r be g(2). Let q = -9.4 + 18.4. Which is the third smallest value? (a) r (b) -2\/5 (c) 0 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*r + 66881 = 5*r + 66865, -3*i - 4*r = -19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 8171.5.\nAnswer: 16343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9344 and 43968?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/5632 and -47\/154.\nAnswer: 39424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14186, 56988, 128324, 228194, 356598?\n\"Answer: 14267*m**2 + m - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6561241*s**3 - 2518970*s?\nAnswer: -39367446*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 536 and 138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*k + 95, w = -3*k + 1 + 4. Suppose -5*d = -w, -d = -5*v + 4*d - 20. Which is the biggest value? (a) 1 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6324622900 rounded to the nearest 1000000?\nAnswer: -6325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 16. Let c be j(-8). Suppose c = -3*o - 4092 - 2382. What is the units digit of o\/(-39) + 1\/((-6)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1863.2358 and 0.4.\nAnswer: 745.29432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 29 - 1 - 7 + 3 - 17*v**2.\nAnswer: -17*v**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 8*w + 14. Let u = 137 + -131. Let o be j(u). What is the highest common factor of o and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/180)\/(((-656)\/369)\/(-16)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) + 676\/(-16). Let h = r - -25. Let v = 25 + h. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-1 - -2) + 1. Suppose r = 3*n - j + 8, j - 5 = -n. Suppose -2*b + 17 + 7 = n. Calculate the highest common factor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 12. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/395820 and -31\/10.\nAnswer: 395820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -235*u + 1655. Let f be k(7). Solve 2 = 4*l - 2, 3*b + l = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine thirds of a day?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 12 = 2*s. Suppose -s*l - 8 = -24. What is the tens digit of 88\/l*(0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 - 3?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 116 = -29*x - 113 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*g + 658 = -781 + 239 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.8 - -14.9. Let j = -3778.949 + 3780.0490038. Let g = j - p. Round g to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/sqrt(5)*-3 - sqrt(49))\/sqrt(7).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4894051074.\nAnswer: 2, 3, 11, 3947, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*n = -0*g + 24, 18 = -4*g + 2*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - c - 2 + 2*c**2 - 6*c**2 - 3*c**3. Suppose 0*g = g - 4. Let r = g - 6. Let b(u) = -7*u**3 - 5*u**2 - 3*u - 5. Calculate r*b(t) + 5*m(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 54 + 53 = 3*x, -2*x - 6 = 0. Sort r, 2, -11, -5.\nAnswer: -11, -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 22011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*o = 136, 154 = 3*n - 5*o - 256. Suppose 7*u - 5*u - n = 0. Suppose 4*r = 74 + u. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 914*a**2\/3 - 920*a\/3 - 1832\/3.\nAnswer: 2*(a - 2)*(a + 1)*(a + 458)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1442 divide 227893791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 164 + 1060 = 418 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4\/11 + 32*q**3\/11 - 2*q**2\/11 - 32*q\/11 = 0?\nAnswer: -16, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981 by 9.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 25. Let f = d - 12.16. Let i = f + 0.26. Is i less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.926918 rounded to 3 dps?\nAnswer: -1.927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 1\/6 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-3 - -9)) + -1 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -33. Let q = b - 6. What is the least common multiple of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50787.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (591 - 605) + (1 + 10 - (-1 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 0*v - v**2)*(0*v + v + 2*v + (2*v + 2*v - 2*v)*(4 - 1 - 6) - v + 0*v - v) as f + k*v**2 + a*v**3 + h*v and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10770787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 = 451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 66780.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4 + 537*j**3 + 71823*j**2 - 72361*j = 0.\nAnswer: -269, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4173731641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h**(-9)*h*(h\/((h*h**(-9)*h)\/h*h))\/h*(h*h**(-1\/4))\/h**(4\/3))**(2\/11) assuming h is positive.\nAnswer: h**(29\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:34 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -544 by 68.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 2*s - 4*s)*(0 + 0 + 1) - 3*s - s + 6*s + (0 - 1 + 2)*(-2 + 1 - 1)*(-19*s - 21*s + 41*s + 5) in the form f*s + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 c when four letters picked without replacement from {l: 3, c: 2, s: 4, q: 4, f: 1, m: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2126121\/10726 - 24485\/124. Let y = g + -2\/173. Let q(j) = j**3 - 5*j**2 + 4*j + 1. Let o be q(4). Is y greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23613*z**4 - 320*z**3 - z + 11784558 wrt z.\nAnswer: -283356*z**2 - 1920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 6\/3)*2. What is the common denominator of (-14 + u)\/(5\/1) and -15\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 636 - 440. Let o(p) = 53*p + 46*p - m*p + 45*p + 43*p. Let r(v) = 26*v. Give o(r(x)).\nAnswer: -234*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)\/j)**2*j*j**(-1\/2)*j\/j**5 assuming j is positive.\nAnswer: j**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 7*y - 7. Let p be s(0). Is 0 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*x**3 + 291*d*x**2 - 3*d*x - 20575*x**3 - 12 wrt x?\nAnswer: -12*d - 123450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g)*(1 - 1 - g**3) + 595*g**4 + 41*g**4 + 741*g**4 + 137*g**4.\nAnswer: 1516*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/39139 + 4501129\/5636016. Calculate the common denominator of j and 7\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Suppose 0 = 5*k + q + 8, -2*q - 7 = -x*k + 2*q. Let r = 607\/7 - 87. Is k equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -13, -23, -33, -43?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2 - 4*f + 4. Let g(s) = s**2 + s - 1. Let a(l) = -4*g(l) - i(l). Let m(u) = 5*u + 5*u - 4*u + 2*u. Determine a(m(x)).\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/32 and 17\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/(-12) + (-4)\/16. Let m be ((1 - p)*2)\/2. Let t be 3\/(-1*(0 + m)). Which is the second biggest value? (a) 0.2 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0243966 rounded to 4 decimal places?\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1178 (b) 0.96 (c) -20 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225 divided by 4?\nAnswer: 2225\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j*j**(-13)*j)\/j))\/(j**(-1)*j))\/(j\/(j\/j**3))**17 assuming j is positive.\nAnswer: j**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 + 68 = -4*z, 2*z - 4 = 0. Calculate the remainder when 30 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-160)*2*12\/9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28487 + -57687. Round l to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 7*f**2 + 2*f + 4 - f**3 + 2*f**2. Suppose 5*i - 7*i + 5*n - 12 = 0, 4*n - 4 = 3*i. Is 4 a factor of y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 500*f**3 + 6 - 415*f**3 + f**2 to s + g*f**2 + x*f**3 + i*f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 44*q**2 + 38*q - 20. Give i(21).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-512)*8*10\/75*-6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-2*(-9)\/6. Let q = -3 - l. Solve 4 = -4*r - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.4 - 11. Let a = 6 + -80\/13. What is the closest to a in -1\/7, r, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-6)))\/(f*f**6))\/(f**(-1\/4)*f**(-7)\/f)*(f\/(f**0*f))**(-12)\/(f**(2\/5)*f\/(f**(-3\/5)*f*f)*f) assuming f is positive.\nAnswer: f**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7722 + 7725. What is the greatest common divisor of c and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 114*u**2 + 1338*u + 204. What is s(67)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12162 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axxa when four letters picked without replacement from xxaxaxxaxaaa?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 13 - 4 - (3 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -157773\nAnswer: -1577730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/11 + 1779870*d\/11 + 12459188\/11 = 0. Calculate d.\nAnswer: -7, 889942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(175) + 1) - ((sqrt(448)*-2*-1)**2 + 5).\nAnswer: -1798 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 40544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3095601?\nAnswer: 3, 67, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*a**2\/11 - 827978460*a\/11 + 28564513759332150\/11 = 0. What is a?\nAnswer: 68998205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*b + 22, 0 = 30*x - 26*x + b - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 96\/(-42) - 16\/(-7). Suppose -5*a + 2*l = -l - 15, m*a - 6 = 4*l. Solve -a*o - 2 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(-1943)*(-9338)\/276\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 8:23 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + u = -4*f - 23, -5*f - 5*u = -5. Suppose 8754 = f*m + 2462. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11996, -17793, -27454, -40979, -58368?\nAnswer: -79621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71096748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 4 (b) -3\/5 (c) 101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/p)**(-16)\/((p*p\/p**1)\/((p*p**(-1\/14)\/p)\/p)))**47 assuming p is positive.\nAnswer: p**(3901\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8000695144 to the nearest one million.\nAnswer: -8001000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91\/3 - 31. Let o = 24.7 - 25. What is the biggest value in 3, o, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9*o - 3*r = 988, 0 = -2*o - 5*r + 389. List the prime factors of o.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/63 + 19\/171 + 1?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 50. Let i be g(0). Calculate the smallest common multiple of (-20)\/i*30\/1 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 501*k**2\/2 + 5*k + 4. Let a be g(-5). Let d be a*(226\/10 - 1). What is d rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(432))\/(sqrt(12) + (sqrt(48) - sqrt(240)\/sqrt(5))))\/(sqrt(36)\/(sqrt(3) + sqrt(300)*-3)*5).\nAnswer: 58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3\/((-9)\/(-6)))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 296, 361, 494, 719?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 2. Let k be o(-6). Suppose -4*m = 4*r - 8*r + 520, -k*r = -2*m - 512. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 7*w - 16. Let k be i(-6). Solve 2*p + 3*p + y + k = 0, -14 = 3*p - 5*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5245, -10367, -15523, -20713?\nAnswer: -25937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -2, 5, -73, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1629*l**2*o + 54*l + 5*o - 4 wrt l.\nAnswer: -3258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:46 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = d - 2*d + 9, 0 = 2*d + 5*h - 18. Suppose -t = t - 5*o - d, -8 = -5*t - 2*o. Suppose 0 = 7*l - t*l - 30. Solve 10 = z - l*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824986210721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1 + 4 - 2 - 3 + (-2 - 5 + 5)*(2 - 4 + 1) - 17 + 2 - 6 + 1 - 1 - 3)*(-2 + 2 + r)*(4 - 2 - 4).\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -189, -368, -549, -732, -917?\n\"Answer: -g**2 - 176*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (2 - -2) + (-34 - (-7 + 13 + -15))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2. Let r(k) = -9*k**2 + 5*k. Determine x(r(i)).\nAnswer: -243*i**4 + 270*i**3 - 75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/3*6\/(-6). Suppose 0 = 4*p - r - 8, -r + 6*r = 3*p - x. Factor 2\/5*l**4 - l**3 - 1\/5 + 3\/5*l**p + 1\/5*l.\nAnswer: (l - 1)**3*(2*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)\/((-15)\/((-30)\/4)). Determine c, given that -3\/2*c**5 - 3*c**4 + b + 3*c**2 + 3\/2*c + 0*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8170*h**3*q**2 + 1412905*h**3 + 47*h*q + 4*q**2 wrt q?\nAnswer: 16340*h**3*q + 47*h + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-1)*q)\/q*q)\/q)**(12\/13)\/(((q**(-3)\/q)\/q)\/q**(-1\/7))*(q**(5\/3)*q)\/(q*q*q**(1\/5)*q)*(q\/(q*q**(-1)))**(-26) assuming q is positive.\nAnswer: q**(-27068\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 16*s**2 + 16*s - 14. Let d be g(-17). Solve x + d*x = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -38477*n - 21393206. Calculate i(-556).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 1)*10\/(-6). Suppose 3*z + 4*o = 11, 4*z + 3*o - 6 = 2*o. Which is the nearest to z? (a) -1.9 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245*h - 2334 = 18831 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.35 + -2.6. Let u = -0.55 - s. Let q = 0.1 + u. What is the nearest to q in 2, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(-1 + 1 + 3*y)*(-4 + 9 + 8) + 5 - 5 - 3*y as u + i*y and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -10. Suppose 5*a = -p - o + 21, 0 = -p + 2*a. Calculate the greatest common divisor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30132572?\nAnswer: 2, 827, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 7. Let t be j(4). What is the common denominator of -85\/18 and 156\/(-32)*t\/(-6)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t**4 + 5689732*t**2 + 32*t + 2981219 wrt t?\nAnswer: 60*t**2 + 11379464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492836 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (-2*sqrt(425))**2)*-1 - (-2 + (sqrt(425)*-1)**2)) + ((sqrt(272)*-1 - sqrt(272))**2 - (sqrt(119) + -2*sqrt(119))\/sqrt(7)).\nAnswer: -4*sqrt(17) + 2365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*x + 374 - 1154 = 0, -5*x = -20. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149270785 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 9*i - 2. Give h(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3528144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/((-18)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412036995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Suppose -2*r - 2*b - 6 = 0, -4*r - 2*b = -0*b + o. Let y(j) = j - 3. Determine y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**7\/5880 - k**6\/2520 - k**5\/840 + k**4\/168 + k**3\/6 + 8*k. Let h(g) be the second derivative of b(g). Factor h(d).\nAnswer: (d - 1)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7717140 and 1028952.\nAnswer: 15434280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -19785982.\nAnswer: -3957196.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002963 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4\/12 - z**2\/2 + 1. Let a(r) be the second derivative of w(r). Let p(j) = -j**2. Give p(a(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175718631176429 - 4*k + 175718631176429.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 91 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2331 - -74?\nAnswer: -2257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6724375, 12.\nAnswer: -6724375, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 227601202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -21*124 + -5 + -1 + 4. Let t = -1657 - s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 81 - 81 - 20*r**2. Let l(g) be the first derivative of -5*g**2\/2 + 1557. What is l(x(b))?\nAnswer: 100*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -4\/17, -4?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-847)\/126 + (-10)\/(-45). Let m be (1\/(-4))\/(-10 - (-118)\/12). Which is the third biggest value? (a) g (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -355*x**2 - 2*x + 5. Let p(b) = b. Give v(p(w)).\nAnswer: -355*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*l - 4*l + 16, 16 = l - 5*z. Suppose 0*j = -4*j + 16, 4*u + j = -204. Is (-9)\/3*u\/l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 5*x - 8*x - 7*x + 2*x. Let m(c) = -46*c. Give m(h(i)).\nAnswer: 690*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-88)*(-27)\/6*4\/(-30).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, b: 2, l: 1, m: 1, s: 1}. Give prob of picking 1 g and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11688839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-305 + 236 + 466)*(d - d - 2*d**3 + 2*d) to the form i*d**2 + v*d + s*d**3 + k and give s.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 206. Let v be q(-5). Let n = v + 204. Solve n*t - 20 = 7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71876 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 12:18 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f + 16 = 57*f + 4*o, 5*o = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 0.0216\nAnswer: 0.01728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 0*c = -21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23d + -4de?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105755091?\nAnswer: 7, 127, 1243819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*t - 19 = 11, 5*t = -4*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -289977, -3.\nAnswer: -289977, -3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyfy when four letters picked without replacement from {g: 1, y: 2, f: 4, b: 5, p: 4}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**4\/4 - x**2\/2 - 1. Let r be c(-1). Solve 0 = -2*p - s + 5, 3*s + 2 + 7 = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 39563 = -7916. Calculate the highest common divisor of v and 685.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10779.354 and -0.5.\nAnswer: -5389.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*l**3 + 989*l - 989*l.\nAnswer: -445*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -3450?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1292*u = 1711*u - 10475 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 4 (c) 9580 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1887 less than -1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*i + 141*i = -64. Which is greater: i or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125746\/55 or -2286?\nAnswer: -2286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9713, 5.\nAnswer: -0.1, 5, 9713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -420. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19 or -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 678 - 678)*(2 - 2 - 1)*(d + 2*d - 6*d)*(2*d**3 - 2*d**3 - 2*d**3) + (d + 2*d**4 - d)*(3*d - d - 4*d) - 2*d**5 + 0*d**5 + d**5.\nAnswer: 37*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2 + (246 - 74 - 115)*(3 + 0 - 1))*(-2*q**2 + 2*q**2 + q**2) + 2*q**2 - q**2 + q**2.\nAnswer: 118*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 60, 3*t - 132408 = -t + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-19)\/(513\/18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1470 + 2944. Suppose 4*b = -4*q + 5872, -2*q - q = b - w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6.7. Let u = 300235\/12 + -24959. Let g = -181\/3 + u. Which is the second biggest value? (a) 0 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2734 divided by 1367\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/310)\/(13\/5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113*l + 2477*l - 1319*l.\nAnswer: 45*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 4*d + 2. Let v be m(4). Suppose -2*t + 260 = -3*h, -t + 119 = v*h + 2*h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 6, -26815, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81308 less than or equal to 81307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.43 rounded to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42295 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1629, 3247, 4859, 6465, 8065, 9659?\n\"Answer: -3*r**2 + 1627*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 134*k**2 - 8*k - 2. Let h(m) = 89*m**2 - 5*m - 1. Give -8*h(u) + 5*q(u).\nAnswer: -42*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 3*l**3 + 0*l**3 + (5*l - 7*l - 5*l)*(3*l**2 - 2*l**2 - 2*l**2) - l**3 - 4*l + 4*l + 50*l + 4*l**3 - 50*l.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6923, -5512, -4099, -2684, -1267, 152, 1573?\n\"Answer: l**2 + 1408*l - 8332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.872492kg?\nAnswer: 3872492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1369693 - 96778 = -17*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**3 + 9*v**2 + 9*v. Calculate s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2469570.995 to the nearest one hundred.\nAnswer: 2469600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027423497 to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*w + 102054, -2*w - 42*k = -46*k - 51032. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = g + 2*a, 3 = -a + 4. Let l be -4 + -40 + 2 + 2. What is the remainder when g is divided by -1 - (25\/(-5) + l)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10091*k - 19573. Calculate v(2).\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.7470471206 and 6.7?\nAnswer: 32.4470471206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*p**4 - 6*p + 8*p + 6 - 2*p wrt p?\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 4*h - 6 = -11*s, -2*h = -5*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*f = 1043, -2*f + 631 = 3*d + 2*f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2107.2673 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.376698 to 2 dps.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d - 10090 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**4 + 0*a**4 - 3*a**2 - 6*a**4 + 6*a**4 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4659*i + 8774*i - 88105*i.\nAnswer: -83990*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 226, -2, 1\/244?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 49193372\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 376, 853, 1520, 2377, 3424, 4661?\nAnswer: 6088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1552715 and -0.147343.\nAnswer: -1552715.147343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4\/5 + 292*o**3\/5 - 4968*o**2\/5.\nAnswer: -4*o**2*(o - 46)*(o - 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - d**2 + 4. Let w be n(0). Suppose 0 = -w*i + 53 + 43. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/(-22) - (-78)\/(-429). Suppose -w - 387 = 3*u - 7*u, 2*w + 382 = k*u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(88)*-4 + (4*sqrt(88)*2 - sqrt(88)) + sqrt(88) + sqrt(88) + sqrt(88))\/((5*-2*sqrt(48))\/(sqrt(48)\/(sqrt(8)*1))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-1 + 0))\/2. Suppose 14*s - 13*s - 3 = v. Suppose 3*w + 3768 = s*z, z + 0*z + 4*w - 1241 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 3131 in descending order.\nAnswer: 3131, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 30*y = 136 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/11 (b) 2 (c) 0 (d) 1\/3 (e) 0.4 (f) -3\/5 (g) -1134\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(832)*-3 - (sqrt(65) - (sqrt(65) + 5*(-2*sqrt(65) + sqrt(65)) + sqrt(65)))\/sqrt(5).\nAnswer: -28*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.2866816 + 110503.\nAnswer: 110492.7133184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13\/(h\/(h\/(((h**7\/h)\/h)\/h)*h)))**12*((((h\/(h*h**(-1\/5))*h)\/h)\/h)\/(h\/((h*h\/(h*h**(-3)))\/h)))\/(h**(-6)\/((h\/h**(1\/4))\/h)) assuming h is positive.\nAnswer: h**(2539\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.088 + -0.848. Let r = 0.63 + m. Which is the closest to -1\/9? (a) -2 (b) -1\/2 (c) r (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from iiiiiijjij?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -62.34?\nAnswer: 61.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 155053823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.2. Let d = 17 + -17.5. What is the closest to b in 2, -2\/25, d?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**4 + q**2)*(-4 + 4 - 1)*(306 - 76 + 120).\nAnswer: -350*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**4\/4 + 8*c**3 - 307*c**2\/2 - 330*c - 2948. Find a, given that s(a) = 0.\nAnswer: -33, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 1. Let i(a) = -a. Let z(d) = -11*i(d) - 4*u(d). What is z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695208193.\nAnswer: 7, 17, 14245447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1703 divided by 5.\nAnswer: -1703\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-9 + (-4 + -2 - -36))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -76*z**4 + 5*z**2 + 253*z - 3. Let t(r) = -151*r**4 + 11*r**2 + 505*r - 7. Let n(l) = 7*a(l) - 3*t(l). Find the second derivative of n(o) wrt o.\nAnswer: -948*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017273 rounded to seven dps?\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 - 2*v**2 + 4*v - 16\/7 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-754)\/1131*10*(-9)\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = 10*f - 119. Suppose -37451 - 2833 = -f*z. List the prime factors of z.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 14 (c) -532 (d) 1\/58 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 8*b**2 + 2. Let a be t(8). Suppose a*j = -2*v, 5*j - 2 = -6*v + 2*v. Solve 2*d + 10 = -0*k - j*k, 4*d = 4*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132 and 5174372.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 430\/(-344) + (-5)\/(-20)*5. What is a in -6*a**2 - 1\/2*a**5 - 7*a**4 + x + 0*a - 25\/2*a**3 = 0?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2\/5, -14, 103 in ascending order.\nAnswer: -14, 2\/5, 38, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16729545*f**2*j + 679*f**2 + 46*f + 10 wrt j.\nAnswer: -16729545*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103748905*n - 103748900*n + 17 - 17.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 5*z, 0 = -9*p + 12*p + 5*z + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*n + 16, 3*n - 8 + 0 = s. Solve n*w - 4 = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*u + 20, u + 3 = o + 1. Let y = -10 - -11. Let i = o - y. Does 3 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 8815*a\/4 + 57213\/2.\nAnswer: (a + 13)*(a + 8802)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:07 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.131 * 409.\nAnswer: -871.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/6))\/q**(-7) assuming q is positive.\nAnswer: q**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = 71. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {n: 1, o: 3, d: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 62662, -1\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5*(sqrt(432)*5*5 + (4 + (sqrt(432) - (-2 + sqrt(432))) + sqrt(432) - sqrt(432))))*-4)**2.\nAnswer: 1344000*sqrt(3) + 108012544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3710, -3860, -4264, -5048, -6338, -8260?\n\"Answer: -21*u**3 - u**2 - 3688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 5 (c) -0.2 (d) -1\/2 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3816260 to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmmmmmgmw. What is prob of picking 2 m and 1 w?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6050744275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/12 - 3*h**4\/8 + 2*h**3\/3 - h**2. Let o be b(7). What is the units digit of (o\/12)\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 2*d + 1. Let r be t(1). Suppose h - l = -h + 172, 5*h - 431 = r*l. What is the remainder when h is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 5. Let y(r) = r. Let f(l) = v(l) + 2*y(l). Let h be 2\/14 - ((-24)\/(-4))\/42. Give f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.47 + -1.67. Let g(s) = -s - 1. Let x be g(-4). Which is the closest to -1? (a) h (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1203, 392, -963, -2862?\nAnswer: -5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = x - 891, 2*y + 352 = 4*x + 1268. Let n be 8\/(-44) + 1410\/11. Calculate the greatest common divisor of y and n.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 1:12 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, o: 10}. Give prob of sequence oo.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3618 + 3621. Let p = -3 - -4. Solve -p + k = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 28*n - 49. Suppose 12*a + 126 = 438. Let i be y(a). Solve 2*x - 20 = -i*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 + 2*v - 5. Let q be n(-4). Let r = q - -7. Suppose -3050 = -2*t + r. Round t to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -67 (b) 1.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**2 + 3. Let l(x) = 29*x**2 - 8. Let b = -248 + 231. Give b*g(h) - 6*l(h).\nAnswer: -4*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 4:57 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*l**2 - 640*l + 640*l)*(-3 - 18 + 12 + 605*l + 9).\nAnswer: -33275*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3438, -13746, -30920, -54954, -85842, -123578, -168156, -219570?\n\"Answer: r**3 - 3439*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 3*j + 9 - 3*j**2 - 4 + 2*j**4 - 2*j + 3 - 2*j**3 in the form c*j**4 + u*j + q*j**3 + r + x*j**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**2 - 4*d**3 - 24*d**2 - 6*d - 30*d.\nAnswer: -4*d*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(1377) - sqrt(1377)*-2*-2)**2.\nAnswer: 198288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*w + 18, w = 5007*o - 5011*o + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40497.7 + -38804. What is m rounded to the nearest 10?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3617?\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 394 - a + 410 + a. Let h be s(-10). Let m be -2*(-1)\/(-1) + h + 22. Calculate the greatest common factor of m and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 6. Let t be g(-8). Let a be (-1)\/((-5)\/(-3) + (-2)\/3). Let b be ((-44)\/(-6) - a) + 24\/(-18). Solve -b = -x - t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 = -2*h, h + 42 = -2*t + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 739.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -37572675.171874.\nAnswer: -37572674.971874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 116, 192, 298, 434, 600?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - -4.91. Let l = -8 + r. Let t = -0.73 + 0.83. What is the nearest to t in -2\/7, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 70.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 13. Let b be (-3)\/(o*(-3)\/189). Let w = 100 + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 81*x. Let r(u) = -5*u**2. Determine o(r(n)).\nAnswer: -405*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 20*f**2. Calculate the remainder when r(-1) is divided by ((-16)\/6)\/(((-21)\/9)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*m**2 + 7*m**2 - 43 + 101 - 33*m**4 wrt m.\nAnswer: -132*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 - (-4)\/(-4) - (-126 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 8*u)*(3 + 0 - 4)*(4 - u**3 - 4 + (4 - 2 - 3)*(0*u + 0*u + 2*u**3) + 5*u - 5*u - u**3 + 0 - u**3 + 0).\nAnswer: 30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*m = 2, 145*w = 149*w + 5*m - 26 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5719 times -939?\nAnswer: -5370141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*g = -10, -c - 3*c = g + 2. Let w(f) = -f + c + 3 + 0. Let n be w(-11). Solve -2*d - 4*s = n, 2 + 16 = d - 3*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15150*u + 71*u**2 - 15148*u + 2*u**4 + 6*u**3 - 4*u**4 in the form g*u**2 + h*u**3 + d + j*u**4 + x*u and give g.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from dvwxxvdgxwwwxwxd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.4, -2, -1\/16, 11?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77300 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 370866 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: Express 94*w - 116*w + 118*w + 187*w in the form r + t*w and give t.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87864947.\nAnswer: 87864947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 21*v**3 + 45*v**2 - 39*v + 12.\nAnswer: 3*(v - 4)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 19*q**2 - 12*q + 5. Is k(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -1.1. Let t = -1995\/8012 - 2\/2003. Is t > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 2:22 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0, 1\/2, 28.\nAnswer: -0.03, 0, 1\/2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 43*c - 1 - 6 + 7.\nAnswer: -43*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/3 + 4*g**2 + 2*g + 4. Is v(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407 + 288 + 119 + 63*o**2 + 3*o - 7*o.\nAnswer: 63*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -341086 divided by -199\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*n + 5540 = 2*z, -3*z + 5*n = -3340. Suppose -92*m - z = -97*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(39)\/sqrt(3) - (4 + sqrt(325)).\nAnswer: -7*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 126 in increasing order.\nAnswer: 0, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -82. What is the tens digit of ((2 - 6) + 70)\/(k + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1971548*s**4 + 55*s**2 - 2*s - 5599.\nAnswer: -47317152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -606 and -380.14?\nAnswer: 230364.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 58*i + 5570. Give j(-96).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10513.\nAnswer: 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 393? (a) -5 (b) 5\/6 (c) 18 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4399 and -216724125?\nAnswer: 216724124.5601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -1263 - 249. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 841*k**4 + 59*k - 2*k**2 + 3 - 156*k + 96*k to g*k**3 + q*k**4 + h*k + o + l*k**2 and give q.\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1 (b) 0.5 (c) 0.8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059?\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002857 rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -548\/3 - -4393\/24. What is the second smallest value in a, -4, -5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 4*o. Calculate the remainder when -2 + 0 + o - (-198 - -19) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -161, -160?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfaalhoy. Give prob of sequence oya.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9610761?\nAnswer: 3, 631, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Let l = 24 + -12. Suppose -g - 10 = -3*y + 13, 0 = 2*y - 4*g - l. Let b(m) = 8 + m - y. Give b(w(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/289659 or 0?\nAnswer: -4\/289659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24))\/(6\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 53347*a. Let m(g) = 10*g**2. Calculate u(m(f)).\nAnswer: 533470*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lccllclllll. Give prob of picking 1 c and 3 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23716, 95032, 213878, 380242, 594112, 855476?\n\"Answer: -2*n**3 + 23777*n**2 - n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, o: 5, x: 5, s: 3, h: 1}. Give prob of picking 1 s and 2 g.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 38*i**2 + 140*i + 137. Calculate n(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9934810*a - 150495338 wrt a.\nAnswer: 9934810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -9\/13 (c) 7 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 266*i + 5. Let c(g) = g. Give r(c(w)).\nAnswer: -w**2 + 266*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8285.13 millennia to years.\nAnswer: 8285130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -449 + 456. Solve 0 = -5*d + j + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -54\/11 (b) 4 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18321714 by -6107238.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.8. Let q = 9.6 + -7. Sort h, -5, q.\nAnswer: -5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5064 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, o: 1, y: 1, t: 2, w: 3}. What is prob of sequence pytp?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((3762\/(-385))\/(-19))\/((-12)\/(-20))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 526\/6 + ((-2)\/(-6))\/1. Let w = 23 + -12. Calculate the highest common divisor of w and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 11*w - 2. Suppose o - 15 - 8 = 4*a, 3*o + a - 17 = 0. Suppose 0 = -5*q + 4*q - o. What is the units digit of j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 54. Let k(i) = -i - 1. Calculate 2*k(b) + 2*l(b).\nAnswer: -6*b + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {x: 3, h: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3472 - -0.340597. What is a rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -342.479 + 80.834. Let w = 261 + s. Round w to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7622, 15295, 22964, 30629, 38290, 45947?\n\"Answer: -2*u**2 + 7679*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 3*f**2 - 6*f**2 + (-3 + 27 + 0)*(0*f**2 - f**2 + 0*f**2) + (-5 + 4 - 4)*(4 - 4 + 3)*(4*f**2 - f**2 - 4*f**2).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/112 - 89*g**6\/120 - 37*g**5\/10 + 10*g**2. Find the third derivative of n(m) wrt m.\nAnswer: 180*m**2 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/(h**(-9)\/h))**(-6) assuming h is positive.\nAnswer: h**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 3, 0.9, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*s**4\/3 + 299435*s**3\/3 - 52889105*s**2\/3 - 36851135*s\/3 + 5445780 = 0. Calculate s.\nAnswer: -4777, -1, 4\/13, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)*v*v*v**(-9\/4)*(v**(-8\/7)\/v)\/v**(-4\/3) assuming v is positive.\nAnswer: v**(-761\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 6911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/501778, 1\/7, 1 in descending order.\nAnswer: 1, 1\/7, 3\/501778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(4)*4)\/(sqrt(2) + sqrt(2) + sqrt(50)*1) - ((1*sqrt(72))\/sqrt(12))\/(sqrt(8)*-3).\nAnswer: 31*sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10*f - 133. Give v(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3842*r + 82767 = -104304 + 41075 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13302*m = -4*z + 13298*m + 4, 5*z + 21*m = -59 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 6 = 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brpr when four letters picked without replacement from {p: 2, w: 2, r: 2, b: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -398*c - 84. Let d be w(-8). What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + 36. Suppose 140 + n = 9*x. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110100 + -10000011011?\nAnswer: -11110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 1, g: 4, j: 2, i: 8}. What is prob of picking 2 j?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -113\/5. Let q = -7109.1 - -7109. Suppose 0 = -2*z + u + 5, 8 = 3*z - 3*u - 4. Which is the second biggest value? (a) q (b) -5 (c) z (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397622 - 0.2.\nAnswer: -397622.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 10*l + 5. Let g(k) = -5*k - 5. Let m be g(-2). Suppose m*z + 6 = -3*p - 24, 4*z = 0. What are the prime factors of x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 63 = -11*r. Let h(j) = -7*j - 57. Is h(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17222 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*m - 9 = -m, -2*m = -r + 3. Let i be (-2 + r)\/(6\/18). What is the units digit of 3 - (i + -13 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:42 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*(-7 - (-550)\/198) - (-63)\/9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -9*m + 3*m. Let k = -16 + m. Find the common denominator of 9\/11 and 1\/(((-15)\/k)\/5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 666009462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 133732 and 133732 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, 3, 5, 1 in increasing order.\nAnswer: -203, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k = -4*k + 8*k + 682. What is the second smallest value in -0.29, -3, -2, -0.1, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2 (c) -2\/7 (d) -2\/177 (e) -119607\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.716951, 1, -0.5 in increasing order.\nAnswer: -0.716951, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Let f(h) = 2*h**2 + 5*h. Let o(q) = -20*q**2 - 26 + 26 - 4*q + 6*q**2 + 12*q**2. What is d*o(g) + 4*f(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 22*m - 20*m - 3*s, 5*m = 3*s + 6. Let k(w) be the second derivative of 0 - w - 4*w**2 + 1\/6*w**m. Determine k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:48 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8900864 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 693 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + y**2 - 1. Let c(d) = 6*d**3 - 4*d**2 - 3. Let q(f) = c(f) - 3*p(f). What is the third derivative of q(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9*(-15)\/(-2). Suppose -4*c = -3*c - g. Suppose s - 5*r = 7, -4*s + 0*r - c*r = -3. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(14)\/sqrt(2))**2*-2 + ((sqrt(3087) - (sqrt(3087) - (1 + sqrt(3087))))*2)**2.\nAnswer: 168*sqrt(7) + 12223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 5)*(-4*r + 2*r + r)*(66 - 66 + 16*r**2).\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2) + 3\/12*538.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00112 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-4))\/65*1651\/(-1270)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:22 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 273312 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*1022\/(-42)*141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2 - 6*o - 10. What is i(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62893, -251587, -566079, -1006369, -1572457, -2264343?\n\"Answer: -62899*k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l**4*y + 43*l**2*y**2 - 8*l*y**2 + 7 wrt l?\nAnswer: 72*l**2*y + 86*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 5184?\nAnswer: -1\/1728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*o + 20, 0 = 4*o - g - 19 - 11. Let s be (108\/(-42))\/(-6) - (-137)\/o. Solve -2*h + 4 = -4*f, -2*h + 4*h = -4*f - s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -1 - (-2 + 1). Suppose 0 = -r - l - t, -r - 2*l = 2*l + 13. What is the derivative of f**3 - 1 + f**3 - f**r wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7820390.\nAnswer: 2, 5, 317, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 907.6308 micrometers?\nAnswer: 907630.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -81*o**3 - 653*o**2 + 9*o - 16. Let i(h) = 37*h**3 + 327*h**2 - 4*h + 7. What is 9*i(g) + 4*s(g)?\nAnswer: 9*g**3 + 331*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*p**3 - 596*p**2 wrt p?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(3*c**3 - c**3 + 0*c**3) + c**2 - c**2 + c**3)*(-6 + 5 + 15).\nAnswer: 70*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - -6) + -7854 + 7872.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37337418 divided by 12445806?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/1000 - (-24)\/(-70).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/60 + 3*w**5\/40 + w**4\/8 - w**3\/2 - 5*w. Let s(q) be the second derivative of n(q). Determine m so that s(m) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 19. Let x be d(7). Let c be -1*(-1 + 3 - x) + -42300. Round c to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 3:25 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -248 - -250. Solve 30*u**4 - 83*u**2 - 3*u + 41*u**g + 12*u**2 + 3*u**3 = 0 for u.\nAnswer: -1, -1\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y - h - 11, -2*h - 10 = y. Let s be y + (-6 - -3) + 4 + 0. What is the units digit of (-44)\/s*(-1140)\/(-80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000941813 to 7 decimal places.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/280421 and 13\/228.\nAnswer: 3365052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l - 45 = 3*v, 0 = 3*l + 5*v - 13. What is the third derivative of -6*y**2 + l*y**2 - 11*y**2 - 6*y**2 - 2*y**6 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 463, 4, -10, 4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2287 in decreasing order.\nAnswer: 2287, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1 + 12*c + 4*c**2 - 7*c + 3*c. Let i(h) = h**2 + 8*h + 6. Let q be i(-6). Is f(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2531*r + 36. Let i(p) = -1012*p - 14. What is -26*i(h) - 10*u(h)?\nAnswer: 1002*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -0.16 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2564*o**3 - 23*o**2 + 44325*o**3 - 4*o**2 - 10*o**2.\nAnswer: 41761*o**3 - 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/98128 and -79\/6?\nAnswer: 294384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 5. Suppose 0 = -z - 0*z + s. What is the smallest value in z, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152008?\nAnswer: 2, 11, 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1084 = -0*t - 2*o, -5*t - 3*o + 1794 = 0. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16657*n**5 - 6373*n**5 + 11998*n**5 + (-n**2 - n**2 + n**2)*(-4 + n**3 + 4).\nAnswer: 22281*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 208550374, 208550376, 208550378, 208550380, 208550382, 208550384?\n\"Answer: 2*x + 208550372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3098 - -1689. Let n = o - 610. What are the prime factors of 3 - (n\/15 + (-4)\/10)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) -21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4719) + sqrt(4719)*-2)\/(sqrt(9)\/sqrt(108) - sqrt(3)))**2 + 1.\nAnswer: 56653\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 454012013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmrrpmpmmpmrmmmprm. Give prob of picking 1 p, 1 r, and 1 m.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v + 5. Let h(u) = -u**2 + 1541 - 4621 + 1539 + 1540 - u. Let z be (4\/(-12))\/(2\/6). Determine z*h(b) - r(b).\nAnswer: 2*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**7\/2520 - r**6\/144 + r**5\/60 + 131*r**4\/12 - 97*r + 1. Let m(w) be the third derivative of y(w). Calculate m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - (-56)\/12. Let i(m) = m**2 - 6*m + 7. Let z be i(q). Factor -4*r**3 - 7*r**4 - 3*r**4 + 4*r**4 - 4*r**3 - z*r**2.\nAnswer: -2*r**2*(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7416 - 2598. Is 66 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729964090 to the power of 1\/3, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -824025*g**2 - 778124 with respect to g.\nAnswer: -1648050*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 49.3. Let m = c + -2.3. Let j be ((-12)\/42)\/(1 + 1). Sort -3, m, j.\nAnswer: -3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3798)\/11605)\/((-4)\/(-5))*22\/(-12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 6180?\nAnswer: 74160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.71 + 288519.\nAnswer: 288518.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 1705\/377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/35 - -27\/70. Suppose 0*z**2 - 3\/4*z + c + 1\/4*z**3 = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 + 3?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z - 5. Give u(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12847*j**3 + 6323*j**3 + 6436*j**3.\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 2 - (1 - -7 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45121 is divided by 214?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1657*g + 30735 - 1759 = -65473 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/6 + 3 + 2)\/((-1)\/14). Solve -4*v = 5*y + h, -20 = v + 2*y - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -3\/56 (c) 0 (d) -1 (e) -2 (f) -2\/1109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 165, 201, 289, 453, 717, 1105?\n\"Answer: 4*k**3 + 2*k**2 + 2*k + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 c when four letters picked without replacement from vvtcttvcscvsttsc.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151091*q**5 - 6*q**3 - q**2 + 106167*q - 5.\nAnswer: -9065460*q**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -0.4, -36\/19?\nAnswer: -36\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29763460 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 121*j - 238. Calculate the smallest common multiple of 8\/(-12) + 88\/6 and d(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (-4 - 0) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 + 146 + 28*b**3 + (2*b - 2*b - 2*b**2)*(b + 0*b - 3*b) - 3*b + 3*b + b**3 - b**3 + b**3 - 2*b**3 + b**2 + b**3 - b**2)*(b + b**2 - b).\nAnswer: 32*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.059 - 19.8098.\nAnswer: -19.8688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716691778?\nAnswer: 2, 11, 107, 304457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*v + 2*n, 4*v - 8*v + 2*n - 22 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89684616 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10 + 105*p**4 - 78*p**5 + 8 + 5*p - 2*p**3 - 105*p**4 wrt p?\nAnswer: -1560*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h + 4. Let a be (-13 + 11)\/(-1 + (-1)\/(-3)). Suppose a*g + 2 = -7. Let c(t) = -4*t - 2. Determine g*o(r) - 5*c(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8561.39+11496.5877\nAnswer: 2935.1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 51\/(-9))*(36 + -3). Let h(g) = 3*g**2 + 11*g + 9. Is h(s) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18548714 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*i**4 - 2*i + 25*i**3 - 20*i**4 + 2 - 3*i**4 to the form l*i**3 + y + s*i**4 + g*i + w*i**2 and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/234 and 37\/3.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.057 - 0.016. Let s = -56 + 56.046. Let y = s + h. Round y to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 2 (c) 5 (d) -2\/185 (e) -2\/31 (f) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -316914, -1267666, -2852250, -5070666, -7922914, -11408994?\n\"Answer: -316916*r**2 - 4*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012101 (base 3) in base 5?\nAnswer: -11444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 + -893\/5. What is the second biggest value in i, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - 1 - -2)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 10*j**2 - 7*j + 10. Let z(y) = y**3 - y**2 + 1. Let w(t) = -o(t) + 2*z(t). Let l = -220 - -193. Let d = 20 + l. Determine w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000302 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -514 + 2162. Suppose -1242 = 3*f - 3*p, -4*p - r = 7*f - 3*f. What is the common denominator of 34\/9 and ((-2)\/(-14))\/((-7)\/f)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -65*p + 4834. What is w(63)?\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + x = -2*c + 4, 0 = 3*c + 3*x - 6. Let n(g) = -5*g**3 + 5*g - 1. Let p(k) = 6*k**3 - k - 5*k**3 + 0*k**3. Give c*n(b) + 9*p(b).\nAnswer: -b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 - 805494*d - 378478674021.\nAnswer: -3*(d + 939743)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707 = 443*a - 195*a - 523*a - 943 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -10 - 54 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323775887?\nAnswer: 53, 6108979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 11*v**3 - 3*v**2 + 171*v + 324.\nAnswer: -(v - 4)*(v + 3)**2*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6*v + 71 + 79 = 2*v + 2*r, -5*r + 385 = -15*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19920 and 300?\nAnswer: 99600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 4. Let h be q(-12). Let k = 25 - 36. Let t = k - h. Solve 0 = 5*i + t + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 493 = 4*l + 517, -4*r = -2*l - 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199498.39 rounded to the nearest one hundred?\nAnswer: 199500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/7, 1341 in decreasing order.\nAnswer: 1341, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 5. Let v(a) = 35*a + 125. Let m(g) = 150*t(g) + 6*v(g). Let h(n) = -22*n**2. Give m(h(p)).\nAnswer: -1320*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16515\/8 - -2061. Find the common denominator of m and -49\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9969 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 118212*v. Let r(l) = -112*l**2. What is r(s(d))?\nAnswer: -1565096617728*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + (-9 - (1 + -10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (1*sqrt(85) - sqrt(85))*-4)\/((sqrt(100)\/sqrt(2))\/sqrt(10)) - (4 + sqrt(1700) + -1 + sqrt(1700) + 2)**2.\nAnswer: -6825 - 199*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2633*o**5 + 760*o**3 + 3622357*o wrt o.\nAnswer: -52660*o**3 + 4560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 32*w + 199. Let z be c(-6). Let a(k) be the second derivative of z*k + 0 + 0*k**3 - 11\/12*k**4 - 1\/2*k**2. Calculate a(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751 a factor of 85747797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1*(-2 + sqrt(63)\/(sqrt(27)\/sqrt(3)) + sqrt(7) + (sqrt(84)\/sqrt(4))\/sqrt(3)))*-5)**2.\nAnswer: -900*sqrt(7) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Solve 0 = -2*a - 2*k - 6, -k + 0 - o = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b - 103. Let g be s(16). Find the second derivative of h - 5*h**5 - 33*h**3 - 6*h**5 + g*h**3 + 49 + 4*h**5 wrt h.\nAnswer: -140*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7691513 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 314 from -206.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-250)\/(-6) - 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51540 divided by -859?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 584148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2069.2+-0.2706\nAnswer: 2068.9294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 4 (c) -0.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 4*l - 6. Let s be i(-6). Let y(j) = -7*j**3 + 9*j**2 - 11*j. Let g(d) = 4*d**3 - 5*d**2 + 6*d. Calculate s*y(m) + 11*g(m).\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17076, -34104, -51132, -68160, -85188, -102216?\nAnswer: -119244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233677589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1103 * 0.02442\nAnswer: 26.93526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -630*m. Let i(v) = -17*v. Let u(n) = -112*i(n) + 3*l(n). Let w(f) = f - 2. Let k(o) = -7*o + 16. Let h(d) = -5*k(d) - 40*w(d). Determine u(h(y)).\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 6*j - 2. Let d be b(7). Let p be d*(14\/10 + -2). Does 14 divide (-14)\/p*(-3)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169.0083 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 112*s - 740. What is i(62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 2*x**2 + 2*x - 14. Let j be k(0). Let v = j + 333. Which is greater: 318 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -13. Calculate the remainder when 16 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79762 + -38429. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3. Let p(x) = -7*x**2 + 19. Let a(r) = 6*p(r) + 39*q(r). Differentiate a(w) with respect to w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 - 17*r - 2. Let b be 12\/(-5) - 120\/200. Let d be l(b). Solve 2*f - 6*f - d = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80820 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35621513 to the nearest integer?\nAnswer: 5968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aihq when four letters picked without replacement from aiqwqaaqqaqh.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -142, -216, -288?\n\"Answer: h**2 - 79*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77534 by -3.\nAnswer: 77534\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + x - 8. What is the remainder when 35 is divided by j(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.659823kg in grams?\nAnswer: 6659.823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-15) - 2\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, v: 1, d: 1, k: 1, b: 2}. What is prob of sequence dk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o. Let i(b) = -33*b**2 + b**2 - 4*b**2 - 31*b**2. What is x(i(l))?\nAnswer: 670*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005053 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 + 2 = 0. Suppose -o = 4*c - 9. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 35. Let c be (7 - 9) + 2*11. Let j = 174 - c. Calculate the highest common divisor of j and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00156112 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*q - 24 = 22, 0 = -4*i - 5*q + 80 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13000004)\/10 + 6\/15. What is g rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y. Let g(t) = -t. What is 3*g(j) - 2*l(j)?\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*h + 523*h + 1638 = 0. Calculate the greatest common divisor of 390 and h.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 3:29 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3849 and -71\/3016?\nAnswer: 11608584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 3*r - 6*r + (2 + 0 - 4)*(6*r - 3*r + 0*r))*(2078 + 2062 - 5128) to the form p + b*r and give b.\nAnswer: 4940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50362 and 447?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25978920.\nAnswer: 2, 3, 5, 11, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31020100 (base 4) to base 12.\nAnswer: -27154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -276*r + 861. Let z be m(4). Is z < -242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 89 = 4*z, -2*z + 82 = 2*u - 5*z. Let m(x) = -552*x + 5975. Let n be m(10). Calculate the greatest common factor of n and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, 2, 1117, 273 in descending order.\nAnswer: 1117, 273, 106, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -5*x + m, 2*m = 3*x - m + 105. Let u = x - -46. Suppose -11*i - 46 = -u*i. Calculate the greatest common factor of 69 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8404, 8019, 7370, 6457, 5280, 3839, 2134?\n\"Answer: -132*u**2 + 11*u + 8525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1045 - -1045. Which is smaller: z or 3.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(7 - -25). Let k be 0 - 1 - 22\/r. Let w = 373 + -372.8. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.5 + -8. Let t = -1.78 - -0.28. Let i = t + l. Which is the second biggest value? (a) i (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219634100 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.7. Let d be (-2 - 14\/(-4))*18. Let f be (-15)\/(-27) + (-6)\/d. Which is greater: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3\/5 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v + 0*v**4 + 1\/3*v**3 - 7\/5*v**5 - 1 + 0*v**2. What is the third derivative of z(o) wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 28*q + 90. Let x be u(30). Solve x - 25 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*j - 14 + 0 = 0, -25 = -4*o - 3*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 28 = -152. What is the remainder when t is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1367403, 2734747, 4102089, 5469429, 6836767, 8204103, 9571437?\n\"Answer: -s**2 + 1367347*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**27\/w**(3\/7)*(w**36)**33 assuming w is positive.\nAnswer: w**(8502\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -221 + 216. Let m(d) = -7*d + 1. Let g be m(1). Which is the nearest to -1? (a) 3\/5 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from yyyyyyygyyg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25650 and 495.\nAnswer: 282150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 3*c**4 - 5*c**4 + (-4*c - c**2 + 4*c)*(0*c**2 + 2*c**2 + 0*c**2) - 4*c**4 + 2*c**4 + c**4)*(-322*c - 263 + 320*c + 11).\nAnswer: 8*c**5 + 1008*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2. Let f be q(-2). Let c(d) = d**2 - 26*d + 14. Let x be c(26). What is the highest common divisor of f and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)**(-3\/23))**(-19)\/((p**(-5\/4)*p*p\/p**4)\/(p\/p**(-5\/2)*p\/(p**(-6)*p)*p)) assuming p is positive.\nAnswer: p**(1493\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/6)\/(2300\/(-2760)))\/(66\/(-5))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.03684l?\nAnswer: 68036.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1035 - 87*c**3 + 1035 + (-1 + 2 + 1)*(0*c**3 + 2*c**3 - 4*c**3).\nAnswer: -91*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 25 = -5. Calculate the remainder when 27 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 11*w + 3. Let g be l(-11). Suppose -j + 12 = -4. Solve 2*n + 11 = g*x - 12, 4*x - j = -n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujq when three letters picked without replacement from vvqqqtqvttuuuuvqtqjq?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23264296303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69 or -99\/13?\nAnswer: -99\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -3, -1, 12041?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2f (base 16) to base 2.\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -6 + 8. Suppose -4*d = -j*d. Find the second derivative of 0 + 16*u**5 + d - 5*u - 18*u**5 wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 2198331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21814996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 23*a = -4. Suppose -a*k + 21 + 99 = 0. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2)*(11 + -7). Suppose 7 = 5*j - v, -4*j + a*v - 1 = v. Solve -5*g + 3 = -j*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*h = -h - 11, 0 = -2*a + 2*h + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(2448) + (sqrt(2448)*2 - sqrt(2448))**2 + 0.\nAnswer: 12*sqrt(17) + 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/52 and -43\/47068.\nAnswer: 611884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - m - 0, 0 = l - m - 1. Suppose 2*c + 2*c + 66 = r, -l*c - 264 = -4*r. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2. Suppose 4*l + 140 - 100 = 0. Let n be -1*(-1)\/3*30\/l. Give d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295548037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52991544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 + 2*k**5\/15 + k**4\/24 - k**3 + 35*k**2. Give d(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 - 9*d**2 + 5*d + 28. Give p(4).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -25*y**4 + 60*y. Let g(k) = 2*k**4 - 5*k. Let j(i) = -3*b(i) - 35*g(i). What is the second derivative of j(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**3 + 5\/12*o**4 - 27*o + 0 + 1\/20*o**5 + 3*o**2. What is z(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b6562 - 260?\nAnswer: -1b67c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 90*d**2 - 156*d + 125. Let j(u) = u**3 + 30*u**2 - 53*u + 43. Let f(m) = -10*j(m) + 3*z(m). Give f(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475860 and 60500?\nAnswer: 130861500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 42?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*sqrt(10)\/sqrt(5)*-4)**2*-4.\nAnswer: -3199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 8*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -55*n**4\/24 - 10*n**3\/3 - n**2 + 117*n. Let u(i) = -8*i - 3. Give -20*u(l) + 3*w(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 59 - 9. Let r(q) = -2*q. Let d be r(3). Let b = d + i. Solve 0*t + 3 = -b*t + 5*h, 4 = -4*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*q**2 + 77*q**2 - 96 + 32*q**2 + 50 + 49 to r*q + d + g*q**2 and give g.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*b - 135 = -17*b + 320 + 799 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*g + 24, 0 = -y - 4*g - 5 + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6851*t**3*x + 2*t**3 - 940127*t**2 + 119*t*x**4 + 2*t wrt x?\nAnswer: 6851*t**3 + 476*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251717180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(90)\/sqrt(2) - sqrt(45))*5 + -2*(1 + sqrt(2880)))**2.\nAnswer: 192*sqrt(5) + 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 9) to base 14.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 6. Suppose -s = -i - 1. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 630\/75 - (-70)\/(-425)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**4 - c**2 - c + 1. Let m(d) = 6*d**4 - 2*d**3 + 4*d - 4. Let h(l) = -m(l) - 4*v(l). Determine w, given that h(w) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 1 x when three letters picked without replacement from kkiiyiiqxkyiiiiirry?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejve. Give prob of picking 2 e and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*4\/(-4)*-142*1695\/(-914622)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 45 = 0. Let a(s) = s**2 - 5*s - 1. Let x be a(g). Let o(q) = -33 + 67 + 2*q - x. Let k(l) = -l. Give 6*k(f) + 2*o(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6146415 by 558765.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-36008)\/(-35) - -20)\/(2\/10).\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 7*t - 3939196 = -35*h, 5*h - 5*t = 3939210. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from {p: 2, u: 3, j: 4, m: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.46. Let v = -9.94 + u. Let p = 10.5 + v. Which is the closest to 5? (a) 0.4 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + c**3 + 4*c**2 - 1 - 3*c**2 - 3*c. Determine o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 15, 4*c + 0*i + 2*i = -138800010. Round c to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 25 - 35 = 0. Let n = l + 12. Let b(v) = -5*v + 1. Is b(n) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -5*x**3\/3 + x**2\/2 + x. What are the prime factors of i(-5)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 28*n**3 + 0*n**2 + 84*n**3.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 242\/55 + 2\/(-5). Suppose u + 258 = q*u. Suppose -3*j + u = 2*i, 4*j - i = 2*j + 55. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -27*d**2 - 465*d - 21. Determine i(-16).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104632156 (base 7) in base 13?\nAnswer: 141189a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/75*(-20)\/6. Suppose -z = -2*n + 4. What is the derivative of -8*c**4 + 22 + 22*c**n - 21 wrt c?\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -739987\/2997344 + 18\/13381. Calculate the common denominator of -61\/96 and v.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3\/3 - 2*m**2 + 28*m + 6. Let k be j(-6). Solve -3*f = 6*z - 4*z + 12, k = -3*z - 4*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 2*z**2 + z - 2. Let h(l) = -2919*l**3 - 7*l**2 + 2855*l - 6. Let d(b) = h(b) - 3*w(b). What is the third derivative of d(g) wrt g?\nAnswer: -17496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 28.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1516 + 1543. Solve w*h + 162 = 243 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3753 = -5449710*k + 5449571*k for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*z**2 - 49*z**2 - 46*z**2 - 48*z**2 - 47*z**2 + 239*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from kkpkp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(13 + ((-588)\/36 - -3)). Factor -2\/9 + 2\/9*b**x - b + b**3.\nAnswer: (b - 1)*(b + 1)*(9*b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/6 + 419*p**2\/2 - 628*p\/3 = 0. Calculate p.\nAnswer: 0, 1, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 2. Let h be q(0). Suppose -7*p = h*p - 1476. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 4*v - 3*v + 10*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 24*n. Calculate z(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = 31. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1876, 3656, 5446, 7252, 9080, 10936, 12826, 14756?\n\"Answer: q**3 - q**2 + 1776*q + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4605 - -8722. List the prime factors of c.\nAnswer: 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v. Let l = 20 + -17. Suppose -4*t - l = -7. Calculate b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1240121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47819760.\nAnswer: 2, 3, 5, 23, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*9\/4*1. Suppose 4*w + 8 = -2*d - 30, d + 5*w = -34. Let b(v) = -v**2 - 18*v - 9. Let s be b(d). What is the highest common divisor of s and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.54 - 19617.\nAnswer: -19621.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*k - 289*k - 23*k**3 + 24*k**3.\nAnswer: k**3 - 594*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13.8. Let j = 0.1709 - -0.1291. Sort k, -1\/4, j.\nAnswer: -1\/4, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122952 and 15?\nAnswer: 614760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 = -j. Let t(q) = -q - 1. Let o(s) = -4*s - 6. Let w(g) = g**2 + 3*g + 3. Let b be w(-2). Determine b*o(r) + j*t(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54121 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:52 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/15 - 4\/15. Suppose z = 11 - 7. Let f be -6*1\/z*-2. What is the nearest to -1\/4 in f, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1315421 and 7.\nAnswer: 9207947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*n - 45*n + 21. Let o be (-14)\/(-133) - 2544\/(-19). Let s = -113 + o. Calculate the lowest common multiple of s and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 182?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*u - 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 6. Let l = -73 - -37. Let s = l - -41. Let c(u) = u + 1. Let m be c(s). Determine g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 7*s**2 - 8*s + 4. Let g be n(-6). Let r = g - 80. Solve 2*k = -2*m - 0 - 2, 4*k = -2*m - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120100 (base 5) in base 13?\nAnswer: 245b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 1593*r. Let o(x) = -52*x**2. Give y(o(t)).\nAnswer: 2704*t**4 + 82836*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 241*u**5\/10 - 3*u**3\/2 - 3*u**2 + u + 66. Find the second derivative of f(v) wrt v.\nAnswer: 2892*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3577453, -0.4, 5 in descending order.\nAnswer: 5, -0.4, -1, -3577453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*t - 4, -11 - 12 = -2*a + 5*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704657222 to the nearest integer?\nAnswer: 26545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -553759\/22 + 25166. Let j = 10\/3 - -259\/6. Calculate the common denominator of j and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = b - 6*b + 3*k, 4*b - 5*k + 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6835516 + -4835524. Suppose -5*i + k + m = -3*k, 4*k = -3*i + 1200008. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 + 74980*f + 74985 = 0. What is f?\nAnswer: -1, 14997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233 (base 8) to base 9.\nAnswer: -821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Suppose 3*q - 36 - 15 = 0. Solve 3*g = -0*h + h - 18, 0 = h + s*g + q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 113?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 588051229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m. Let a be o(3). Suppose 17 = -a*c + 6*c - y, -c = 2*y - 1. Calculate the smallest common multiple of 6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -56*q - 23. Let l(k) = 5*k - 2. Let d(a) = -i(a) - 5*l(a). What is d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4102 = -9*j - 1438. List the prime factors of j.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424026825?\nAnswer: 3, 5, 5653691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308.9 - 297. Let x = 2.1 + a. Let b = x + -13.6. What is the nearest to 0.1 in b, 0.1, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93461800 rounded to the nearest 1000000?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvn when four letters picked without replacement from {n: 6, v: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 10*a = 2, 2*a = k - 6. Solve 5*y = p + k, -4*p - y + 21 + 2 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(sqrt(684))**2.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 46*n**2 + 97*n + 15. Calculate the lowest common multiple of o(48) and 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (-5 + -25)\/(-5). Suppose -4*i = 2*p - o*i - 668, -338 = -p + 2*i. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -767743+96.258\nAnswer: -767646.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 14*t + 4, -4*f + 7 = 5*t. Solve -m - f*m + 9 = n, 0 = -4*m - 2*n + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 4*a, 4*a - a = -s + 3. Find the second derivative of 49*b**5 - 47*b**5 + 6*b - 10*b**3 - 61*b**s wrt b.\nAnswer: 40*b**3 - 426*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/761558 and 125\/154?\nAnswer: 8377138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 726153.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9434.602ml to litres.\nAnswer: 9.434602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, r: 3}. Give prob of sequence rl.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**16*z\/(z\/(z**(5\/8)*z)))\/(z**(2\/57)\/(z*z*z**(-26))))**32 assuming z is positive.\nAnswer: z**(-11692\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 - 7*c**2 + 2*c**2)*(-2*c**2 + c**2 + 0*c**2).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 176 - 118 + 5*t**2 + 5*t - 88.\nAnswer: 5*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 12 = -4*h. Let w(q) = 7*q**3 - 3*q**2 + 4*q + 3. Let t(f) = -4*f**3 + f**2 - 2*f - 1. Let g(c) = -5*t(c) - 3*w(c). Give g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/4 + 3*j**4 + 21*j**3\/2 + 13*j**2 + 21*j\/4 = 0.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 61815.\nAnswer: 247260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9948 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 9. Determine d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9147 or 0.08464?\nAnswer: 9147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*(-26)\/(-52) - 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 152*q + 5324. Determine h(-22).\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7476 divided by -6\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548888643.\nAnswer: 3, 179, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 3. Let q be i(-4). Let y(j) = -4*j**2. Let a(f) = 3*f**2. Let m(h) = q*y(h) + 6*a(h). Let x(r) = -4*r. Determine x(m(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a**2 + 9*a - 6. Let t(d) = -10*d**2 + 8*d - 5. Let v(g) = 2*g**3 - 28*g**2 - 38*g + 115. Let n be v(15). Determine n*j(k) + 6*t(k).\nAnswer: -5*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2137 + -2136. Solve b + h = -4*y - 12, -1 = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + j + 106 = -3*j, 139 = 3*y - j. Let v = -14 + 30. Let n be 484\/v + (-1)\/4. What is the highest common divisor of n and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xmxcmmpmdffp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103184595\/574 + -1196420313311\/6655530. Let l = x - -3\/3865. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + p - 19 = 1, 28 = 2*t + 5*p. Let r be 5\/2*(-8)\/(-30). Which is the closest to r? (a) -5 (b) t (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105546079 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1003, 2030, 3641, 5842, 8639, 12038, 16045?\n\"Answer: f**3 + 286*f**2 + 162*f + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1.6 (c) -2 (d) 0.08 (e) 6 (f) 299 (g) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 47 - 37. Let l(c) = 3*c**2 - 8*c - 25. Calculate the least common multiple of j and l(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 219801\/(-7) + (-6)\/(-336)*8. What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686) + (sqrt(686)*-1 + sqrt(686))*4)\/(sqrt(8)\/(sqrt(8)\/sqrt(2))*1)*-2*-4.\nAnswer: 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 0*h + 5 - h**2 - 6*h. Let l be j(-6). Let d(u) be the second derivative of 2*u**3\/3 - 2*u. Calculate d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35151\/15 - (2 + -2). Suppose 3*g + 5426 = 5*c - 6251, -c - 3*g = -2339. Let x = u - c. Calculate the common denominator of -76\/3 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8838963 and 1701.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppffpfp. Give prob of sequence pfp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -20, -2*j = 5*z - 18. Suppose 0 = 4*w + z*w. Let l(t) = t - 6. Calculate l(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/9)\/((-2)\/12))\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*h - 0*h - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32038, -126753, -284612, -505615, -789762, -1137053, -1547488?\nAnswer: -2021067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.5258 months in millennia?\nAnswer: 0.01712715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 8*z - 8. Let i be p(-6). Let g(j) be the second derivative of 0*j**3 + 1\/21*j**i + j + 0 + 0*j**2 - 1\/70*j**5. What is v in g(v) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7970155mg to tonnes.\nAnswer: 0.0000000007970155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4664 + 4?\nAnswer: -4660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(91) + sqrt(91) + 1*sqrt(91) + sqrt(91) + sqrt(91)) + (sqrt(91) - (-2*sqrt(91)*-1 - sqrt(91))))\/(-1*sqrt(112)*-6).\nAnswer: -5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 717 - 1551 = -3*t. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22240, -177925, -600478, -1423327, -2779900, -4803625, -7627930?\nAnswer: -11386243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10322460 and 89461320?\nAnswer: 268383960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/28)*p)**(1\/23)*(p**(-5))**(-42) assuming p is positive.\nAnswer: p**(135297\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000118262 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1315992 and 652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.2593 - 8094633.\nAnswer: -8094626.7407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -13*n + 84. Suppose -2*s = -81 - n. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u**2 - 1262*u - 137. Let d be g(-104). Is 1318 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 - -7.52. Let s = 8.8 - t. Which is the second smallest value? (a) -3 (b) 4 (c) 0.5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4073 - 2?\nAnswer: -4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(468) + (sqrt(468) - sqrt(468)*1) + sqrt(52) + (sqrt(52) - (sqrt(5200)*2 - sqrt(5200))))*4)\/(2*sqrt(324)*-5*6).\nAnswer: -sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 349*f**3*s*x + 2*f**3*s - 81*f**2*s wrt x.\nAnswer: 349*f**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 90*k = 88*k - 101, 0 = 3*k + 9. Solve -6*o + r = -25*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Let u(l) = -3*l. Let p be (-7)\/(-2)*(3 + 85\/(-35)). Determine p*v(o) - 3*u(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-6)*(448\/(-336))\/(4\/(-6)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(15\/4))\/j**(-1\/15) assuming j is positive.\nAnswer: j**(-161\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/5 - 2*n**2\/5 - 4*n - 24\/5 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 1. Suppose -1 - 19 = 4*z + 2*c, -z + c = 5. Determine v(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/84)\/(5\/(-25)*-25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3166 * 0.4\nAnswer: -1266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - o - 1. Let r be ((-5)\/(-2))\/(1\/2). Let t = 2 - r. Let h(s) = 6*s**2 + 7*s + 7. Let y(f) = t*h(f) - 21*p(f). Let d(z) = z**2. What is y(d(u))?\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + g**2 - 3*g**2)*(-1 - 1 + 3)*(-325*g + 337*g - 311*g).\nAnswer: -299*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*12\/(-24)*12\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 61 = -5*i, u + 20 = 3*i - 20. Suppose 2*b + 8 = 56. What is the remainder when b is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/7)\/60*27\/(-15)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*y + 244*y - 577920 = 0. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.1, 1, 4, -16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1107 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49 (b) -2 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 5*u - 14*u + 10*u + 10*u - 2*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2838.227 - -19.227. What is the second biggest value in -1\/2, q, -3\/4, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -141102.\nAnswer: 705510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952129168?\nAnswer: 2, 3877, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3726\/(-405) + 9 + 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-19 + -125) - (-140 - -144).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5577, 9141, 12701, 16257?\nAnswer: 19809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*3*(-7 + 35921\/(-2)). Let j be u\/(-9) + -1 - 6\/9. Round j to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffzd when four letters picked without replacement from {d: 2, f: 3, z: 12}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/39 - (-52)\/3. Let y = f - 15. What is the remainder when 41 is divided by (-496)\/(-48) + y\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Sort 0.2, 0.5, q in ascending order.\nAnswer: 0.2, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5302 - 2330. Suppose d - 3*y + 3466 = 492, -4*y = -d - h. Let s = d - -2100. What is s rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/144)\/(6\/(-8)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 667 = -16*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*q + 182*q + 24 = 0. Suppose -2033 = -q*h + 277. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70 - (-4 + 6\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 67*z - 276. Let j be g(4). Solve -2*d - 16 = 4*p, 4*p = -0*p + 2*d - j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 591 = 601, 0 = 2*q + 2*o + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2516 - 0.3539. What is h rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 22*q + 25. Let y be g(12). Solve -d + y = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8*b - 6 = 0, 9 = 4*v + 3*b + 14. Suppose -5*c = 3*i + 40, 2 = 4*i - 5*c - 3. Put v, 2, i, -1 in decreasing order.\nAnswer: 2, -1, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 18 + 74 = 0. Let v(g) = -3*g + 2. Let q(f) = 2*f - 2. Calculate o*v(z) + 5*q(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (3 - 21) - 1 - (-2 + -66)) + 5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 34. Let i be o(-37). Suppose 2*t + i*j + 15 = 0, -4*j - 20 = -4*t + 2*t. Solve -4*l - 5*f + 27 = t, 2*f = -5*l + 3*f + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + (-6 - -8 - 1) - 34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 23*i - 12. Let a be n(12). Let y = -30.46 + 0.46. Let q = 24 + y. What is the third biggest value in a, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - k + 2*k)*(-2 + 3*k + 2) + (2*k + 0*k - 4*k)*(2 - 2 + 2*k).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 + 50*a + 3262. Calculate p(48).\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 10. Let s be (w\/4)\/((-3)\/(-5)). Solve -n = -x, -s*n - x - 25 = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107800000 to the nearest one million.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from wyyzzpzwzzppyzzzy?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -23, 2 in increasing order.\nAnswer: -24, -23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1672 + -9905\/6. What is the common denominator of 97\/52 and h?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -163, -543, -1301, -2563, -4455, -7103, -10633?\n\"Answer: -21*i**3 + 19*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*o + 7*o**2 - 52*o)*(1 + 2 - 4) + (2*o - 2 + 2)*(2*o - 2 + 2) - 3 + o**2 + 3.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1305 + 2?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03323 - -0.033304404. Round b to seven decimal places.\nAnswer: 0.0000744","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*c + 13*c - 3*c to a + n*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 17*a.\nAnswer: -a*(a - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4 + 311173*d**3 - 3734184*d**2 + 11202660*d = 0.\nAnswer: -311185, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 7*i**2 + 7. Let l be y(7). Suppose 4*n - l = 9. What is the common denominator of -32\/5 and n\/(-18) + (-1430)\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 3*u**2. Let w be p(3). Suppose -29 = 2*x - 5*l - 3, w = -4*l. Let n = x + 28. 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: Solve -3*r - 53*t + 50*t + 9 = 0, -4*t + 10 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.2 + -31. Let r = -0.058 + f. Round r to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(66)*2 - sqrt(66))*1)\/(sqrt(384) + (sqrt(384) + sqrt(384)*-3)*-5)*-6.\nAnswer: -9*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -95 + 7 + (1 - 2) + (9 - -41)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*g**2 - 14*g**5 + 3*g**5 + 14*g**2 wrt g.\nAnswer: -660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132955\/18 + 7394. Let w = 1035\/2 - 566. Find the common denominator of l and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.8 and -0.39?\nAnswer: 6.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2 - 3*a - 140*a**4 + 5*a + 2*a**2 + 3*a wrt a.\nAnswer: -3360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - 3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -0.062\nAnswer: -4.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 5*u**4 - 9*u**3 - 7*u**2 - 2*u.\nAnswer: -u*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3923 times 1347?\nAnswer: -5284281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let p = 12 - 8. Let h be l(p). Suppose 4*s + 2*n = 3*s + 11, 2*n = -h*s + 21. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4479966, 4479968, 4479970?\nAnswer: 4479972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexxbxsiexbs. Give prob of sequence xsx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140576363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, -974.\nAnswer: -974, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**2 - 6*z - 4. Let f(d) = -d + 4. Let a be f(6). Is h(a) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (68 - 19 - 14).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.998982 and 8.97.\nAnswer: 10.968982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(sqrt(162) + 1)**2*1.\nAnswer: 270*sqrt(2) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 225*i + 2. Let l(p) = 7*p**2. Give l(d(t)).\nAnswer: 354375*t**2 + 6300*t + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -17?\nAnswer: -50\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, -13, 2\/13, -3, -1\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36 - 2512*p**5 + 69*p - 32 - 1922*p**5 wrt p?\nAnswer: -88680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7101952014 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.53, -1\/39, 2133 in increasing order.\nAnswer: -2.53, -1\/39, 2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305552*q - 305315*q + 611079*q.\nAnswer: 212*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28474 and 9959?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1\/8 (c) 4 (d) 35 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncb when three letters picked without replacement from ppcppnpnpppbp?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 + 7 = 0. Let x = i - 5. Let k(u) = u**3 - 20*u**2 - 5. Let n be k(20). Sort n, x, 4 in decreasing order.\nAnswer: x, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*u + 39, -5*u - 44*y + 42*y = -96. Calculate the remainder when u is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 7*u**4 + 3*u**3 + 55*u**2 - 50*u.\nAnswer: -u*(u - 2)*(u - 1)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 - 2*d**2 - 4*d + 3. Let t(f) = -f - 5. Let w be t(-8). Let o(a) = -4 + a**3 - 6*a + 4*a**3 + 11*a + w*a**2. Calculate 3*o(k) + 4*u(k).\nAnswer: -k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4883619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/120 + 7*y**5\/60 - y**4\/12 - 5*y**3\/2 + 24*y**2. Let i be b(-12). Is (-50)\/(-40) + i\/12 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -125. Let j = 10 - s. Solve -8*o - j = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8000024\/(-32) + 6\/8. Round d to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 100.157.\nAnswer: 40.0628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 36, 65, 104, 153, 212?\n\"Answer: 5*g**2 + 4*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 93*s - 921. Determine a(38).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + 1 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 10) in base 13?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.293283 microseconds in minutes?\nAnswer: 0.00000005488805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/3)\/((-5)\/(15\/2)). Let j be 6\/10 - (-5 + (-18)\/t). Solve s + j = v, -4*s + 5*v = 3*v - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6. Let l(m) = 7. Let d(w) = 6*b(w) + 5*l(w). Let p(y) = -3*y + 3. What is 4*d(q) + p(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 9) in base 6?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*y - 8 = 0, -5*r + y = -1 - 13. Let t be -2 + (-25)\/(-2) + 19 + 518\/(-28). Let h = 0.1 + -0.3. What is the biggest value in t, 0.2, h, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 196*y**2 + 16*y**2 - 48*y**2 + (-2*y - y + 4*y)*(1 - 2*y - 1).\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210738440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4 - 162*o**3 - 879*o**2 - 378*o + 1416 = 0.\nAnswer: -4, -2, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s - 10423 = -94*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 45 = -c. Let u = 25 - 10. Solve -5*b - u = c*z - 0*z, -3*z = -2*b + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*p = -1, 3*s - 4*s + 2*p + 1 = 0. Solve -s*u = -2*v - 3 - 3, 5*v - 2 = -u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/30 + m**2 + 5530*m. Let v(n) = 3*n**2 + 93. Let b(a) = -6*a**2 - 185. Let x(s) = -2*b(s) - 5*v(s). Give q(x(r)).\nAnswer: -18*r**4 - 1140*r**2 - 18050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 + 502*q**3 + 503*q**2 = 0. Calculate q.\nAnswer: -1, 0, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 15363?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thhe when four letters picked without replacement from memmkmmkkmmmmrhmmmth?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 28800 = -78894. Suppose -2*b = 2*c + 96098, 125743 = 4*c - b + 317929. Let w = c + h. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*-1*2. Let v = 8 + p. Suppose f + h - 9 = 0, 5*f - 4*h = 8 + 1. What is the smallest common multiple of f and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579.4 less than 0.232?\nAnswer: -1579.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/90 - 3\/54*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -85. Let q be 3\/(8\/6 + -1). Let j be (q\/(-21))\/(6\/(-4)). What is the smallest value in j, d, 1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/(-3) - -75)*(-222)\/9. Let x = k + 2314. Is x a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552532981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - 3a06571?\nAnswer: -3a065a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21208 = 16*a + 28*a. Let y = -477 + a. Solve -4*l - 1 = i - 2, -3*l = -y*i + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, p: 4, k: 2, r: 2}. What is prob of picking 1 f and 1 k?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 178*w - 528 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(100)\/sqrt(5) + sqrt(5)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let m(q) = -2*q**2 + 5. Let j(k) be the first derivative of -k**3 + 6*k - 9. Let u(p) = -5*j(p) + 6*m(p). What is u(b(h))?\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = -2*d. Let c(g) = g**2 - 3*g - 6. Let a be c(5). Suppose 0 = -w - d*w + a. Which is smaller: 3\/8 or w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-2*(-1)\/(-4). Let a = 56 - 55. Is a at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 + 5. Let h be y(-6). Let j(u) = u**3 - 5*u**2 + u - 3. Let k be j(h). Suppose -k + 0 = f. Put f, 3, -4 in descending order.\nAnswer: 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -5*t, 0 = -2*k - 2*t - 2*t + 24. Suppose 5 = -g, 2*w - k*g - 30 + 6 = 0. Solve u - w*s = 5, 2*u = 3*u - 4*s - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8022 and 13251.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiitttvittiitvsttt. Give prob of picking 1 t and 1 s.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s - 13. What is v(7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1669, -712, 2789, 8834, 17423, 28556?\n\"Answer: 1272*b**2 - 2859*b - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 1145 = -553. List the prime factors of v.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319314.\nAnswer: 2, 3, 19, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 122918.\nAnswer: -3\/122918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**5\/20 + 7*t**4\/12 - 5*t**3\/6 + 4*t**2 - 11*t. What are the prime factors of z(-7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875*o + 613*o - 1 + 169*o + 1 + 203*o.\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31759680085 minus -0.3?\nAnswer: -31759680084.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-34 - -3)) + 5 - (15 + -11)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -19, -0.4.\nAnswer: -19, -2, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 5. Suppose -m*o + 0*o = -117834388. Suppose 4*n + o - 17717194 = 0. What is n rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041 (base 10) in base 12?\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1 - (-351)\/(-81)) + (-26)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 13, 0 = -3*i + 3*w + 39. What is the least common multiple of i and 412?\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 567?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495705 is divided by 498530.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:47 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -30 + 10 + 10*x - 8*x - 5*x - 13. What is z(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46101 is divided by 46095.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**10)\/f)**20 assuming f is positive.\nAnswer: f**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10\/(-8) + 144\/(-192))*-136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h - 1. Let o = 0 - -1. Let l be z(o). Let d = 5 - l. Solve -5*a + 6 = 3*n, -2*a = -5*n - d*a + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 + 247. Solve -5*c - l = -4*x, -5*c + 4*x = -2*c + 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1228073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 18*p**2 - 18*p - 23. Calculate i(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16*w - 12*w = 60, 2*w = -2*q - 54. Let x = 1 + 3. Sort -4, x, q, -5 in increasing order.\nAnswer: q, -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, -4052423 in descending order.\nAnswer: 5, -1\/4, -4052423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12\/p)\/((p*p\/(p\/p**(2\/5)))\/p))\/(p*p*(p**(2\/5)\/p)\/p)**(3\/8) assuming p is positive.\nAnswer: p**(209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y - 10. Let s = y + 4. List the prime factors of 2*(1 - (0 + s)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -323*a**2 - 2267*a - 29. Calculate f(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 25, 36, 47, 58, 69?\n\"Answer: 11*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5 - 40*b**4 - 68*b**3 - 32*b**2 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -765 - -401. What are the prime factors of o\/(-6) + (-1)\/(-3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*u - 50 = v, 3*u = -4*v + 80. What is the highest common divisor of 51 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 587925365 to the nearest 10000.\nAnswer: 587930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37170\/73 > 508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*g, -5*t - 10 = 2*g - 2. Suppose -32 = -2*f - 0. What is the remainder when f is divided by ((-80)\/15 + 5)\/(t\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4526242 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1459*m**2 + 24222*m**2 + 8 - 8 to the form w + u*m**2 + z*m and give u.\nAnswer: 25681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 9\/((-765)\/775)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -64.1. Which is the third smallest value? (a) w (b) 21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.7 - 282.2. Let o = x - 87. What is o rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2747, 5610, 8589, 11684, 14895, 18222, 21665?\nAnswer: 25224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 5:12 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -244345?\nAnswer: -244344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v**3 + 5 + 322*v**4 + 2*v**2 - 323*v**4 - 9 to the form i + o*v**2 + y*v**4 + n*v**3 + z*v and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 3*h - 5. Give f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let i = -45 - -17. Let d(q) = 27*q. Let w(k) = -4*k. Let z(g) = i*w(g) - 4*d(g). Determine z(h(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1412640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - ((-2)\/(-7) + -1). Let n = -8 + 5. Let l = -4 - n. Which is the second biggest value? (a) l (b) w (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 8*u. Is f(9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2221 + 440?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*f + 6 - 22, -4*a + 5*f = 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 248 = 3*s, s - 5*r = -0*r - 88. Let t = -71 - s. What is the remainder when 154 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/9 - 348560*u**2.\nAnswer: u**2*(u - 3137040)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1289\/345863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -569, -2543, -7889, -18293, -35441, -61019, -96713, -144209?\n\"Answer: -281*q**3 - 7*q - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9*-24 - -3. Suppose o - c = -4. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 307981 = 3*f, -3*t - 5*f = -0*f - 461969. Let i = t + -258645. Let z = i - -404647. What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41289*v**3 + 13764*v**3 + 13772*v**3 + 13764*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -1201, 3?\nAnswer: -1201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = -14*z + 18*z, 3*z = -2*q + 12. Let a(g) = -9*g**2 - 2*g - 1. Let n(l) = -4*l**2 - l. Determine z*a(t) - 5*n(t).\nAnswer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 times -1.84?\nAnswer: 204.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 2, v: 1, b: 1, k: 1, c: 2}. What is prob of picking 1 k and 2 t?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 - 3*k**2 - 3*k - 3. Let f be 12\/15*(-15)\/3. Let s = -7 - f. Let b(y) = -3*y**3 - 2*y**2 - 2*y - 2. What is s*b(v) + 2*h(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*(sqrt(19) - sqrt(76)))**2 - ((sqrt(133) + sqrt(133) + (sqrt(133)*-2 - sqrt(133)))\/sqrt(7))**2).\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11439867.\nAnswer: 3, 3813289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 62*w + 4*w + 5*w)*(-w**3 + 4*w - 4*w) to the form q*w**3 + s + y*w + a*w**2 + o*w**4 and give o.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53395096?\nAnswer: 2, 17, 392611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3089 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**3\/13 - 14324*j**2\/13 - 746986*j\/13 - 247404\/13 = 0. What is j?\nAnswer: -2334, -53, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31874 or -25?\nAnswer: 31874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**3\/3 + 153*s + 2. Let i(u) = -818*u + 2. What is i(d(z))?\nAnswer: -1636*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3\/7))\/y)**(-18) assuming y is positive.\nAnswer: y**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 74 + 0 + (-2 - 0). Let h = -27 + 29. Suppose 4*a + 12 = 0, 0 = h*x + 3*x + a - 42. What is the highest common factor of x and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/41949370 and 48\/104873425.\nAnswer: 209746850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 4:08 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427 (base 14) to base 16.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7637*t**2 - 5*t**3 + 7 - 7637*t**2 + (-t**2 - 2*t**3 + t**2)*(-4 + 4 - 5) as z*t + s + g*t**2 + q*t**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-2))\/(3\/(-6)). Suppose 1 = b*z - 5*m - 189, 2*z = -m + 67. Let r = z + -23. Calculate the lowest common multiple of r and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62876108 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 117589 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d2aa - 14?\nAnswer: 6d296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3630000 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-134)\/(-26) + (-8)\/52. Suppose 0 = 8*z - 4*z + t*k, 4*z - k - 24 = 0. Solve -z*a = -2*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 415690 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j + 6. Let y(z) = 14*z - 13. Let x(g) = -5*u(g) - 2*y(g). Let n(r) = -2*r + 1. Let t(h) = -8*n(h) - 3*x(h). Differentiate t(f) wrt f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 + 1 + 3 - 2*a**2 as i*a**2 + m*a + z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*25\/(1725\/(-46)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*h - 1. Suppose -m - h = -6*m. Let p = m + -3. Solve j + p = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53585 + 53585 - 5*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 12:33 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v**2 - 2*v)*(2*v**2 + 2*v**3 - 2*v**2) + (-164*v**4 - 2831 + 2831)*(0*v + 0*v + v).\nAnswer: -166*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -428? (a) 0.5 (b) 1\/3 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 198\/5*f + 26\/5*f**3 + 54\/5 - 30*f**2 = 0.\nAnswer: -3\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 590181*y - 15 + 0 - 590176*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f**5 + 30378*f**4 - 1400962*f**3\/5 + 2005686*f**2\/5 + 2315888*f\/5 + 511896\/5 = 0. What is f?\nAnswer: -3047, -2\/5, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.3, 4.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -17*o**2 + 4*o + 5. Let f(h) = 12*h**2 - 3*h - 3. Let x(z) = 7*f(z) + 5*i(z). Give x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -41*i**2 + 34*i - 33. Let h be a(1). Let v = 3 + -2. List the prime factors of (-3110)\/h - v\/(-4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*k*z**4 - 2*f*k*z - 5*f*k - 2*f*z + 5248*k*z**4 + 4*k*z - 84*k - 5*z wrt z?\nAnswer: -24*f*k*z**2 + 62976*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-78))\/(11*195\/1430)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1590*i**2 - 479*i**2 + 277*i**2 - 1118*i**2 + 234*i**2.\nAnswer: -2676*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145008588.\nAnswer: 2, 3, 149, 81101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -128574, -257148, -385722, -514296, -642870?\n\"Answer: -128574*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 4*m - m)*(0 + m + 0) + (2*m - 9*m - 2*m)*(-38*m + 21*m + 16*m) in the form t*m + z*m**2 + p and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -69, -88, -105, -120, -133, -144?\n\"Answer: f**2 - 24*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (43667\/(-16) - -1). Let l = -2724 - y. What is the common denominator of -23\/10 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19033306 - -1?\nAnswer: 19033307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680100034.\nAnswer: 2, 10141, 82837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 43. Suppose -5*r - i + 3 = -q, -q + 20 = -r. Suppose -l + 4*l + 2*d = 1, l - q = 3*d. Solve l*k + 4*u + 6 = -6, 5*k + 15 = -5*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 389991*d - 387263*d + 114576 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -13, 0.2, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004193230636 rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1421)\/(-735))\/29*(-15)\/4*32\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00433862 rounded to 4 dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 0*b - 2*b)*(-2 + 0 + 3) + (9*b - 26*b + 2 + 19*b)*(0 - 4 + 1).\nAnswer: -5*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 18*a - 29806. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:49 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 4. Let y be 1\/l + (-26)\/(-3). Suppose 2*o + o - y = 0. Calculate the highest common divisor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/3 - 288*c**3 + 17982*c**2 + 2223540*c + 42653952 = 0.\nAnswer: -33, 192, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95432275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14631 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10490 + 30978. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -1322?\nAnswer: -37016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 9. Let t be (10\/6)\/((-20)\/(-72)). Determine f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52363 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 40. Factor 12*u + x*u**3 - 7*u - 6 + 10*u - 12*u**2.\nAnswer: 3*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425)*1*-2 + sqrt(425) + -1 + sqrt(425)*1)*-4)**2.\nAnswer: -160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4445.79 decades?\nAnswer: 444.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1354, -26, -3, 1 in ascending order.\nAnswer: -26, -5, -3, 1, 1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + n**3 - 4*n**3 + 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/4 - 63*j**2\/2 - 3989*j\/4 - 966 = 0. Calculate j.\nAnswer: -69, -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*u**2 + 0)*(-4 + 0 + 1 + (0 + 0 + 2)*(4 - 3 - 3) + 0 + 0 + 2 + 4 - 3 + 0)*(1 - 1 - 2*u).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27397780 divided by 2.\nAnswer: -13698890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82835, -1\/4, -3\/4 in decreasing order.\nAnswer: 82835, -1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -253, -380, -507?\n\"Answer: -127*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - e8?\nAnswer: -e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45172 is divided by 15046.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 3*f**2 - 9*f + 17. What is s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*a + 1330 = -3*b, 0 = -5*b - 5*a + 1645. Let v = b - 254. What is the highest common factor of v and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -35, -94, -207, -392, -667, -1050, -1559?\nAnswer: -2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 131\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8333*f + 3. Let y be 1\/((2\/(-9))\/2). Let a be b(y). Suppose 0*z + z = a. What is z rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -755.871 + 759. Let v = f - 0.029. Let j = 1.3 - v. What is j rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5311205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334762.\nAnswer: 2, 167381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1349*i + 103556 - 108952 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*t + 5*y + 4, 2*t - 4*y = 0. Suppose 3*l + t*z + 0*z = 554, 0 = -2*l + 4*z + 364. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4833417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r - 693 = -443*r + 5580. Solve 9*w + r = -28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.014 + 0.014065. Round u to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 8*i + 23. Let u be l(5). Solve -u*s = -4*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750768973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, 2\/7, 16\/5, 3\/4, -0.109, -4\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 29*y**3 - 6*y**2 + 18. Let b(z) = -z**3 - z**2. Let u(d) = -6*b(d) + r(d). Find the first derivative of u(g) wrt g.\nAnswer: 105*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let h = -1320 + 3080. Suppose -7*a - h = -t*a. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13297 - 3313. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - a. Let j be n(-1). Suppose 60 = f + 5*p, j*p = 3*p. Suppose s + 2*s - f = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) 0 (b) 3 (c) -16\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0*z**2 + 71*z + 0 + 1\/3*z**3. Let c(d) be the first derivative of 8*d**3\/3 + 1. Calculate w(c(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 182*p**2 + 26724*p + 1510168\/3.\nAnswer: (p + 22)*(p + 262)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246279 is divided by 5725?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -12, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*-146221\nAnswer: 731105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 9\/10216, 3, 0.4, -2?\nAnswer: 9\/10216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-35)*2597\/(-1113).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 8715\/975)\/((-2)\/5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 2. Let u(k) = -13*k - 29. Give u(s) + 6*w(s).\nAnswer: -7*s - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 106*l - 5235. What is d(46)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1216576 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 > 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-1))\/3)\/((-8036)\/1722)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/(sqrt(9)*-2 + sqrt(9)) - sqrt(17))*-3)**2*3 + (sqrt(136) + (sqrt(136)*1 - sqrt(136)))\/sqrt(8) + sqrt(119)\/(sqrt(35)\/sqrt(5)).\nAnswer: 2*sqrt(17) + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose -2*a = k - 7. Suppose -a*p + l + 8 = -p, 3*p + l = 20. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2328597 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0073082623 to five decimal places.\nAnswer: -0.00731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4495 is divided by 345?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 73 + 73)*(-s**2 - 2*s**2 + s**2) to the form q*s**2 + o*s**3 + u*s + j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153939?\nAnswer: 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 11 + 13 = 0. Suppose -3*k + 44 + 7 = 3*r, 5*k = -p*r + 81. What is the least common multiple of 25 and k?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 324.1 in -1, -13, -2.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9384 and 1955?\nAnswer: 46920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t + 9. Let q(h) = 14*h - 27. Let k be 6\/(-51) + 0 + 2\/(136\/756). Calculate k*m(o) + 4*q(o).\nAnswer: o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6080*x**3 + 12152*x**3 - 6074*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25\/6 - 104\/3. Find the common denominator of n and -4\/59.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1956 is divided by 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121509368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13456246 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 6. Let s(v) = v**3 - 3*v**2 - 8*v + 1. Let m be s(4). Let g(z) = 3*z + 46. Let b be g(m). Let j(t) = -t + 1. Give b*x(c) + 4*j(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 18*f**2 - 20*f - 24. Give u(-17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from eeeeeieieeeeeeieieee.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 5*z**3\/3 - 25*z**2 + 80*z + 106. Find y such that o(y) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.929836863 rounded to 3 decimal places?\nAnswer: 5.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 5*i - 53, -20 = -5*s - 3*i. Suppose 2*j + 2*j = -g + 24, 4*g - 41 = -5*j. Solve 2*d = -2, s*d - 2*d + 17 = g*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 7291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(2 + 0 - 5)*(0*s + 2*s - 4*s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/102 and -39\/14?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 15973065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.233395723 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 71636?\nAnswer: 214908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*j = -233*j + 93828. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-14))\/((-5)\/(-35)). Let s be 20\/(-15)*g\/4. Solve -7*q + 8 = 4*f - 3*q, -5*q + s = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47924 and 54.\nAnswer: 1293948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 105163 (b) 5 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 675005787 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 180360932?\nAnswer: 180360932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -2 - 2) + 0. What is the third derivative of 32*l**n + 42*l**4 - 60*l**3 + 28*l**3 - 6*l**2 wrt l?\nAnswer: 1008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 277 divided by -187888\nAnswer: -277\/187888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5291603 litres to millilitres.\nAnswer: 529.1603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 52 = 5*k, -3*k - 156 = 28*v - 31*v. Solve 3*m + 55 = v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4168*h + 478. What is the tens digit of f(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4876 - 4300.2. Round t to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/27 + (-4)\/(-18). Suppose t = 5*g - f - 7, -f + 17 = 4*g + 2*f. Let x(h) = 4*h**2 - h**3 - 6*h**2 + 6 + 3*h**g + 6*h + 4*h**2. Calculate x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 2. Let b = -13 + 16. Suppose -5*v + 2*w = -b*w, 0 = -5*v + 3*w + k. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 318 and 31270?\nAnswer: 93810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 11. Suppose 3*s = -0*s + h. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182 take away 722406248?\nAnswer: -722407430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(4536)*1 - (sqrt(168)\/(sqrt(12)\/sqrt(4)) - sqrt(56)))\/((sqrt(72) - (-3*sqrt(72) + sqrt(72))*6)\/sqrt(9)).\nAnswer: 54*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 1511*g - 1486 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1584 + 1584.01557. Round c to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*66*36\/108*4?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -9. Calculate the lowest common multiple of h and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -8. Let r = s - -15. Let c = 9 + 1. What is the lowest common multiple of r and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 81. Let p = 31 - b. Suppose 0 = p*y + 5*n - 0*n - 15, -3*y + 13 = n. What is the greatest common factor of 55 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 8. Let p = -44 + 41. Let i be x(p). Let d(y) = 0*y**2 - 6 - y**2 + 6*y + 0*y**2 + 8. What is d(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 26 + 39\/40*h**5 + h**3 + 3\/2*h**4 + 3\/10*h**6 - 2*h + 1\/28*h**7 + 0*h**2. Factor m(y).\nAnswer: 3*y*(y + 1)**2*(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 778958664 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(18502\/116) - 282\/(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*x + 4*x + 102 = 0, 3*y - 3*x - 60 = 0. Let t = -17 + y. Suppose -o - 4 + t = 0. What is the remainder when 2 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-9))\/((-380)\/38)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjaazz. Give prob of sequence ajza.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**3\/6 + 7*o**2 + o. Suppose -3*n - 25 = -5*p + 2*n, 4*n - 20 = 0. Let d be i(p). Solve -c - d*c + 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/140*-1)\/(6\/(-15))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*g - 9150 + 189253. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -51. Solve 5*b = -u + 30, 0 = 2*u + c*b - 2*b - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91667\/20670 - 1\/689. Find the common denominator of g and -79\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 = -3*r + 36, 5*r - 3*b = -2. Suppose 5*f + 3*p - 762 = -107, -f = r*p - 131. Calculate the remainder when f is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - b + 304\/3.\nAnswer: -(b - 16)*(b + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*g + 4 = 0, 3*m = -m - g + 5. Let f(u) = 50*u - 2. What are the prime factors of f(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*f + 13*f - 72*f**2 + 19*f)*(3*f**3 - f**3 - 5*f**3).\nAnswer: 216*f**5 - 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 242799006253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2, 61*b + 3*l = 63*b + 5 + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*q - 2*q - 454, -3*x = 4*q - 377. Calculate the least common multiple of q and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142 or -161?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31799, 32258, 33023, 34094, 35471?\n\"Answer: 153*z**2 + 31646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2638*y**2 + 6. Let k(t) = -13191*t**2 + t - 33. Calculate 11*d(r) + 2*k(r).\nAnswer: 2636*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 303*3\/(-15). Let q = -64 - s. Which is the third smallest value? (a) q (b) -1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108028518, 216057037, 324085556, 432114075?\nAnswer: 540142594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:43 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 7*h + 3. Let t be r(-7). Suppose -12 = t*s - 7*s. Let q(l) = -l + 2*l**2 + s*l - 5*l. Calculate q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54713*t + 4560 = 27481*t + 27352*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6477384376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 7*c - 62 = 0, -2 - 9 = 7*f + 2*c - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 422 + 201 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 47. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/263 (b) 2 (c) -0.3 (d) 2\/13 (e) -2 (f) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*x + 6*b + 141, 4*x + 4*b - 272 = 0. What is the highest common factor of x and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2)*((-27)\/6)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -24 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*b + 73*b - 1639728 = -57*b. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -24\/7*d**3 - 34\/7*d**2 - 37 - 22\/7*d - d**4 - 2\/35*d**5. Factor m(z).\nAnswer: -2*(z + 1)**3*(z + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.38 or 2667179?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/2145 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 19*j + 28. Is j >= -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7989*l + 110990 = -88735 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/3)\/(-8)*4\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211020 + 120?\nAnswer: 11211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 40\/11, 41, 2, -2\/7, 1\/5 in increasing order.\nAnswer: -2\/7, 1\/5, 2, 40\/11, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 183.\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30840 - 30759. Let d(n) = -n + 54. Calculate the least common multiple of d(0) and q.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 33*h. Let q(t) = 3*t - 10. Let u(l) = 36*l - 126. Let j(n) = -63*q(n) + 5*u(n). Give r(j(g)).\nAnswer: -297*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 25*r**2\/2 - 68*r - 45. Differentiate l(t) wrt t.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 13*h**2 - 14*h + 10. Let i be z(-14). Suppose -3*q + v + 101 = 0, -v - 56 = -2*q + i. Suppose -q = d - 121. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123876 = 8*f - 169916. What is f rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.2. Let z = 0 + -4. Let d = 1.287 - 0.287. What is the nearest to d in z, h, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-54)*((-30)\/(-20))\/(-3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from ogoggog?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30648 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -58*b**3 + 6*b**2 - 6*b - 12. Let t(u) = 116*u**3 - 11*u**2 + 10*u + 22. What is -6*t(s) - 11*w(s)?\nAnswer: -58*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3369 and -193826.04?\nAnswer: 190457.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23599673369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**7\/12 + 17*v**6\/20 + 119*v**5\/40 + 121*v**4\/24 + 9*v**3\/2 + 2*v**2 + 162*v + 4. Suppose u(t) = 0. Calculate t.\nAnswer: -4, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 - 2*i - 4. Let o(v) = v**2 + v + 1. Suppose 4*q = y + 7, 3*q - 6*q + 5*y + 18 = 0. Let s(l) = q*n(l) + 5*o(l). Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79753 and 23971078?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 28*h - 3699. Let n be v(132). Put -5, n, -20, 7 in ascending order.\nAnswer: -20, -5, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*u = 5281, j + 15798 = 4*j + 3*u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and 13750.3?\nAnswer: 13750.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 25.08. Let z = -0.08 + o. Let t = -112 + 558\/5. Which is the closest to z? (a) 2\/5 (b) t (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 63*v + 118. Let h be c(-2). Let q(r) be the second derivative of -r**3\/3 + 3*r**2\/2 + r. Let j(t) = 4*t - 6. Give h*j(n) - 7*q(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -21*p - 6. Let s be y(-4). Let m be ((-7)\/((-70)\/(-16)))\/(33\/330). Let k = s - m. 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 w be (21222\/5502)\/(0 + -1 - 10\/(-4)). Factor 2\/7*p**2 + 12\/7*p + w.\nAnswer: 2*(p + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*b - 70. Let s = 55 - b. Let v = 44 - s. Solve v*u - 1 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 15. Let o(k) = k**2 + 5*k + 6. Let s(c) = 1. Let z(i) = v*s(i) - o(i). Let t(j) = j**3 + 24*j**2 + 2*j + 43. Let p be t(-24). Calculate z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.252, -0.4, 43402?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-258)\/42 - -5 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -12\/13, -0.9, 4, 0.5 in ascending order.\nAnswer: -12\/13, -0.9, 2\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 65842?\nAnswer: 65847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 356*s**2 + 13*s - 8. Let n(f) = 118*f**2 + 4*f - 3. What is 3*d(j) - 8*n(j)?\nAnswer: 124*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76591 and 6416.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 16*q - 1684. Give z(110).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1185551 (c) 35\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144\/(-264) - (-5 + (-1211844)\/33)?\nAnswer: 19, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 + (-29300)\/(-80) - (-3)\/(-12) is divided by 326?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let v(l) be the second derivative of -11*l**3\/6 + l. Let f(d) = -342*d. Let u(x) = 2*f(x) - 63*v(x). Give w(u(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 154\/109 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -259*r**2 + 547*r\/7 + 1266\/7.\nAnswer: -(r - 1)*(1813*r + 1266)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**6\/6 + 4*x**3 + 4. What is the third derivative of s(h) wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280512 and 30194.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - sqrt(891)*4) + 3)**2.\nAnswer: -162*sqrt(11) + 8028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450080210.\nAnswer: 2, 5, 37, 1216433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 198 = 172. Suppose 3*q = -l - 103. Let k = -50 - q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/19 (b) -0.086 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + i**4 + 4*i**4 + (-4*i**2 + 3*i**2 + 3*i**2)*(-5*i**2 - i**2 + 4*i**2) - 5*i**4 + 5*i**3 - 5*i**3.\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92336, 92325, 92306, 92279, 92244, 92201?\n\"Answer: -4*y**2 + y + 92339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -5*n**3\/6 - 2*n**2 + 6*n. Let a(x) = 4 + 6*x - 3 + 4. Give 3*a(z) + 4*j(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(1\/17)*w)*(w\/(w\/((w**(-4)*w)\/w*w)))\/w*w)**(-16) assuming w is positive.\nAnswer: w**(800\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajzaj. Give prob of picking 1 a and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 58*n + 207. What is the remainder when 3784 is divided by k(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/324 and 95\/432.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.12 + 0.12. Which is the closest to 1\/4? (a) 5 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(180\/(-87) + 2). Let m be b + (-1)\/(-2)*4. What are the prime factors of m\/12*(-16)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10541\/6 - -1757. Factor -1\/6*k**3 + 0*k + 0 + 1\/6*k**2 + w*k**5 - 1\/6*k**4.\nAnswer: k**2*(k - 1)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 24 - (2 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/42*3)\/((-4)\/(-48)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5802 = -g - w, -g + 5790 = 170*w - 175*w. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2080 + -1123. Suppose 20 = -5*u, -3125 + k = -x + 5*u. Suppose x = 3*y + 687. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009679402 to 7 dps.\nAnswer: 0.0009679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(12*p**2 - 33*p**2 - 47*p**2) in the form i*p**2 + k*p + u and give i.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus -225185?\nAnswer: 225170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 116*r**5 + 683*r**4\/6 - 1454*r. Find the third derivative of m(p) wrt p.\nAnswer: 13920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*f**3 - 3 - 12 - 443*f**3 - 3.\nAnswer: -855*f**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85 + 70 - (-7 - (4 - 5))) + 0 + -59.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 2318976*h\/5 + 672206211072\/5.\nAnswer: 2*(h - 579744)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29208.00015252 + -29208. Round m to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 33*v**2 - 32*v + 15. Let p(j) = -j**3 + 17*j**2 + 19*j - 8. Calculate 3*b(i) + 5*p(i).\nAnswer: -2*i**3 - 14*i**2 - i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + 21 + -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -423*f**3 + 16*f**4 + 421*f**3 + 0*f - 3*f + 3*f - 4*f**2 - 10*f**5 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872229 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*i = 28, -2*p + 3*i + 43 = 13. Let v(s) = -s**3 + 18*s**2 - s + 23. Let w be v(p). Solve w*x + 25 = -4*m - 0, 25 = -5*x - m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 51758 = -3*r + 69263, 0 = r + w - 40345. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 72) + (12 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 w when four letters picked without replacement from {i: 1, p: 2, r: 6, a: 5, s: 3, w: 3}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216347 by 216347.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9451 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 12*g - 41 - 8*g**3 + 22 to h*g**3 + i + v*g**2 + r*g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**2*v)*(v\/((((v\/(v*v*(v\/((v**(-10)\/v*v)\/v*v))\/v*v)*v)\/v)\/v*v)\/v))\/v)\/(v**(5\/6)*v**(-9)) assuming v is positive.\nAnswer: v**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53303445, 106606893, 159910341?\n\"Answer: 53303448*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111011011111 - -10?\nAnswer: -100111011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001023517 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxdlzdzldzxcgxlzg. What is prob of picking 1 d and 2 x?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 710525*i**5 + 2451*i**2 - 23*i - 1.\nAnswer: 42631500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-4))\/((-2)\/(-16)). Suppose -3*f - 6 = -3*j, 0 = -5*f + 3*j - j + z. Is 18\/36 + 973\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0 - (4 - -3) - (-255 - -254)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 520\/7 - 74. Factor k + 1\/7*u**2 + 3\/7*u.\nAnswer: (u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30058051 and 658.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 90 = 2*l. Solve w - 6*w - 5*g + l = 0, -5*w - 3*g = -22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 261750 and 125.\nAnswer: 261750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*((-1*sqrt(272) + 5 + 0 - ((sqrt(272) - 3*(1 + sqrt(272))) + 2*(sqrt(272)*2)**2)) + 0 + -3).\nAnswer: -12*sqrt(17) + 6508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8007205 - 0.801. What is w rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-51) + (-3 - 351\/(-51)). Let m be p\/14 + 2820\/28. Is 101 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 43572*f.\nAnswer: 2*f*(f + 21786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = 0, -5*i + 0*i = 5*x - 5. Let q be (0 - i)*(-63)\/12. Let n be (-6)\/q - 5\/(-7). Solve -2*s = -1 - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61 - -1176?\nAnswer: 11d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**3 - 14*o**2 + 12*o + 3. Let n(w) = 7*w**3 - 15*w**2 + 13*w + 2. Let q(t) = -6*k(t) + 5*n(t). Let d be q(8). Solve d*c + 15 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + 23*d - 2. Let w be c(-9). Suppose 209 = w*q - 1287. Calculate the lowest common multiple of 44 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -239*j**5\/10 + j**3 + 10*j**2 + j + 118. What is the second derivative of u(o) wrt o?\nAnswer: -2868*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9012776 and -97\/2.\nAnswer: 9012776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvrxrpwpprk. What is prob of picking 1 x and 1 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251 - -34. Suppose 5*w - 297 = 8*w. Let t = l + w. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -9?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7968463 + -2\nAnswer: -7968465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -49. Let h be -1 - -1 - 1*-19. Solve 0 = -3*j + n - h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*r + 436*r - 2165*r + 440*r + 425*r + 431*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10749134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-18603\nAnswer: 3720.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 17669.\nAnswer: 35338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8*(-53 + -1 - 0). What is the highest common factor of t and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75, -155, -227, -285, -323, -335?\n\"Answer: d**3 - 2*d**2 - 81*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = 3*x + 7, -3*n + 6 = 0. Let u(y) = 12*y**3 - 1 - 14*y**3 + 4*y - 3*y**2 - 3*y**2 + 8. Is u(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112234 (base 5) in base 11?\nAnswer: -306a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 266747567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13354*p**3 + 8*p**2 - 20*p + 13. Does 9 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 182. What is the closest to -1\/2 in x, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 117*s**2 - 132*s + 15. What are the prime factors of i(10)?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677850 is divided by 1503?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahnh when four letters picked without replacement from {h: 3, r: 4, n: 4, a: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345\/7 - -49. Suppose -2*a + 3 = -3*a, -5*o = -5*a - 85. Let s be (-9)\/7 - (-4)\/o. What is the third biggest value in u, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 19*a + 87. Let p(w) = -w**2 - 28*w + 31. Let v be p(a). Let j = 5 - -5. What is the highest common factor of j and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07645 to 2 dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 516*j - 5869*j - 20829*j + 0 + 0 as c + o*j and give o.\nAnswer: -26182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 20*d + 3. Let c be w(-21). Suppose l - 5*l + c = 0. Solve 8 = -l*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:44 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -250?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 31*d**2 + 108*d. Let t be j(27). Suppose 2*w - 3*h - 10 = t, h + 16 = 2*w + 2. Solve -2 = w*u - 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by -127.\nAnswer: 348\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/12 - 5*w**3\/2 + 21*w**2\/2 + 14*w. Is u(14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1300) - (-5 + 1*sqrt(1300)) - (-3 + -2 + sqrt(1300)) - ((-1 + sqrt(1300) - sqrt(1300))*-3 + -1*sqrt(1300)*-2))**2.\nAnswer: -420*sqrt(13) + 11749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -13 (b) 0.03 (c) -18 (d) -3\/23 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 5 + -6 - (0 + 1). Sort 3, -21, q in ascending order.\nAnswer: -21, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhqheevnqhvvqvn. Give prob of picking 1 q, 2 h, and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/20 - 2*t**4\/3 - t**2 + 2*t. Let s be o(-8). Is s\/(-2 + 1824\/915) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334625 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d. Suppose 3*a + 2*b + 211 = d, 2*b = a - 5*a - 278. Suppose 19*g - 5*g = -952. Which is bigger: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19388 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213490777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q**6 + 17\/336*q**8 + 0*q**4 + 0*q**3 + 0*q**7 + 0*q + 0 + 21*q**2 + 1\/5*q**5. What is the third derivative of k(x) wrt x?\nAnswer: 1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -3. What is the smallest common multiple of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122 - (0 + (0 - -3))) + -1642 + 1638.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/8*236\/(-14042))\/((-88)\/176)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.1101 to one dp.\nAnswer: 41.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50495 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*-10 - -10 - 1. Suppose -3*i = -9, -4*k + 166 + 390 = -p*i. Calculate the lowest common multiple of k and 5.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 0 - 10*j**2 - 1 - 8 - 5*j. Let q(y) = 11*y**2 + 6*y + 10. Let s(v) = -6*a(v) - 5*q(v). Differentiate s(w) wrt w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 12*k. Let p be y(-10). Let g be 32\/p*(-3)\/(-6). What is the nearest to g in -0.1, 1, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107005 is divided by 1069.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181591553 is divided by 15132629.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -80\/33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090176 - -450199549?\nAnswer: 450199549.090176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let z = 0.5 - q. Let r = z + -0.4. Is r greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 - 344. Suppose -m*o + 4 + 2 = 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 hundreds digit of 2987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.16 - -0.5?\nAnswer: -31.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-434)\/(-9) - 2\/(-54)*-6. Let p = g - 35. What is the lowest common multiple of (2 + -4 + 1)*-5 and p?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6181 + 8948. Is t 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 106903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, 1\/22, 2\/3487, 0 in ascending order.\nAnswer: 0, 2\/3487, 1\/22, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8, -3*i + 0*i + 68 = 4*g. Let y(t) = -t**3 + 7*t**2 + t + 3. What is the lowest common multiple of (-6)\/7*g\/(-4) and y(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**3 - 7*b**2 + 4*b + 5. Let v = 19 + -15. Is t(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1358401\/905598 - 2\/452799. Let g = -21.6 + -7.4. Which is the third biggest value? (a) 5 (b) q (c) 0 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35534472465 from 0.3.\nAnswer: -35534472464.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.49, 64, -3?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/12 + 7*o**3\/6 + o**2\/2 - 9*o. Let w be m(6). Calculate the greatest common factor of 56 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 17*r**3\/2 + 2*r. Is y(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 618.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 12264?\nAnswer: 12261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -14349493129810.\nAnswer: -14349493129806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 77, -6, -0.3, 8, -34 in descending order.\nAnswer: 77, 8, 5, -0.3, -1, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53472 + 91963. What are the prime factors of b?\nAnswer: 61, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -16, -5.\nAnswer: -22, -16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3 and 70\/363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001358 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/3 - 2\/(-3). Let v = 14534 - 43604\/3. Which is the nearest to v? (a) j (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-2)\/(sqrt(45)\/(sqrt(9) + (sqrt(9) - (sqrt(18)\/sqrt(2) - sqrt(9))))) + 0 + (-3*sqrt(240))\/sqrt(5).\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19173 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924564.9 rounded to the nearest ten thousand?\nAnswer: 3920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - 174 + u**2 + 24*u.\nAnswer: u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -245735*g*z**3 + 2*g*z**2 - 1197*z**3 - 49*z**2 wrt g?\nAnswer: -245735*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18942*x**3 + 18942*x**3 + 139*x**2 - 57*x**4 wrt x?\nAnswer: -1368*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -350227 < -350227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p*p**0)**12 assuming p is positive.\nAnswer: p**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a05 (base 11) to base 5.\nAnswer: 111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17268 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/50 + (-32)\/40 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-26)\/(-14))*498330\/45765. Factor -1\/9*b**4 + 0 - 13\/9*b**2 + g*b**3 + 0*b.\nAnswer: -b**2*(b - 13)*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 845 + 873 = 0. Solve 5*u + 4*i + 11 = 0, 2*u + o = u + 4*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - a + 10. Let u(o) = 4*o**2 - 2*o**a + 0*o**2. Let j(n) = 8*n - 8*n - 3*n**2 + 4*n**2. Determine u(j(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24*(60\/5)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.37998 litres to millilitres.\nAnswer: 97379.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000129479271 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 485, 3, -0.4 in descending order.\nAnswer: 485, 3, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {l: 4, b: 6, x: 2, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -37.42, -90, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 9*m**3 - 239. Let t(y) = y**2. What is x(t(r))?\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6)*2\/(-2). Let u = -4.2 + 50.1. Let n = -50.9 + u. Which is the third biggest value? (a) n (b) 2\/19 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.189 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-59 - -8)\/(1\/1). Let z = q + 106. Let r = -10 + z. What is r rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -3)*(2 - 28\/8). Let n be ((120\/25)\/d)\/(-2) + 0. What is the second biggest value in -21, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*1*4\/16. Suppose o = -2*z - z + 45. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25507, -126842, -295727, -532156, -836123, -1207622?\nAnswer: -1646647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 4944*k - 382134. Give h(75).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/44*(-280)\/490*7?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -17*f**2 + 176*f - 58. What is j(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.056, 5, -0.2, 41, 4, -1018?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4473 - 7611.302?\nAnswer: -12084.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9 + 22\/3. Suppose -26 = -9*v - 8. Suppose v*o = l - 4. Solve -4*p - 4 = -o*b, p = -0*p - 4*b - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 70*s**3 - 231 - 5*s + 112 + 119.\nAnswer: -70*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 24. Let m(l) = 3*l + 15. Let u(q) = -7*m(q) + 5*x(q). Calculate u(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)\/m*m\/m**4*(m\/(m**(-1)\/m))**39 assuming m is positive.\nAnswer: m**(567\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 38 = 66. Let -1\/3 - 2\/3*f - 1\/3*f**c = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 55.398 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/11 + 90*r**2\/11 + 252*r\/11 = 0.\nAnswer: -42, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, 1 p, and 1 c when four letters picked without replacement from {u: 1, p: 1, c: 1, r: 1, w: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(189)\/sqrt(12) + 3.\nAnswer: 3*sqrt(7)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -700000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 11*i**7\/168 - 13*i**6\/120 - 9*i**5\/80 + 13*i**4\/48 - i**3\/12 - 2*i. What is c in s(c) = 0?\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + -6 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1483\/8 - -185. Let r = 184 - 158.4. Let a = 26 - r. What is the fourth smallest value in 3, 0.1, f, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 2504*a. Let c(s) = 2*s. Determine h(c(d)).\nAnswer: -4*d**2 - 5008*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162244 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011111 - -101001110?\nAnswer: 10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9696764, -19393537, -29090308, -38787077, -48483844, -58180609?\nAnswer: -67877372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 999968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 405*g**4 + 67275*g**3 + 74310*g**2 + 9860*g - 6600 = 0.\nAnswer: -165, -2\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*d**4 - 3*d**3 + 29*d**2 + 60*d + 97 wrt d?\nAnswer: -1152*d**2 - 18*d + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s + 0*s**5 - 89\/120*s**6 - 11*s**2 + 0*s**3 + 0 - 65\/6*s**4. What is the second derivative of c(r) wrt r?\nAnswer: -534*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183\/488*-4*3\/2.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10033 + 10032.999991413. What is t rounded to 7 decimal places?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.18229 and 0.16?\nAnswer: 0.02229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4096805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.3 (c) -4 (d) 60 (e) -6.219 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 35*y + 65. Let h be d(22). Let a = h - 263. Solve -3*f + 3*q - 15 = -q, a = 5*f - 2*q + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 30*v**2 + 65. Let a(q) = -2*q. What is a(o(f))?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.7331 * -8.\nAnswer: -445.8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 3 + 3 + 5. Suppose -3*c = -n*c. Suppose -g - 3*g + 60 = c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 353 = 5*u - 3*g, -u - 3*g = 172. Let r = u + 266. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26793 and 158535.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 3)*2*(-3)\/6. Let b(u) be the second derivative of -1\/6*u**3 + 0*u**2 - 11*u + j - 2\/3*u**4. Find the second derivative of b(m) wrt m.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*m + m + 2*w, 3*w + 3021 = -5*m + 2981 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**3 + 5*o**2 + 8*o + 6. Calculate s(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489200 and 265000.\nAnswer: 648190000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 2. Let u = -45.98 + 46.18. What is the second smallest value in u, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149914628 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -119\/5, 219456?\nAnswer: 219456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -15. What is the units digit of 2\/3 + r\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148907069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + (-1264)\/(-14). What is the tens digit of 1\/(365\/r + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -202 + 191 - (-5 + 0 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 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: Suppose -r**5\/3 + 2*r**4\/3 + 2*r**3\/3 - 4*r**2\/3 - r\/3 + 2\/3 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -50. Suppose -w - 19 = -6*w + 4*i, 10 = p*w - i. Suppose -w*r = -12*r + 1370. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*k - 3*a, -2*k - 11*a = -9*a - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*s - 26 = 0, 2*s = 2*u - 17 + 33 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 4. Let p be -2 + (1 - 4) + 4. Let m be (p + 0)*-5 + -2. Let f be 0 - (-1)\/(m\/(-9)). What is l(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-176)*((-57)\/76 - (-13)\/(-4))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-12)*-6)\/(-1). Suppose -j*z + 2*z = -38. Suppose 0 = 5*d - z - 11. Which is bigger: d or 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = w - 208. Find o, given that -7\/2*o**2 + 9\/2*o**5 + 2 + 3\/2*o**4 - 17\/2*o**w + 4*o = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1476 divided by 779.\nAnswer: -36\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:00 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 875 and 4191930199.\nAnswer: 4191931074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyeeyy. Give prob of sequence ey.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:40 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.08 + 14.3. Let w = z + 3.78445. Round w to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97313 = -14*v - 97481, 0 = -n + 3*v + 41 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 3500617\nAnswer: 9\/3500617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171108.30005 - 171083. Let k = -25.3 + w. What is k rounded to 6 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose 4*k - 3*p + 1 = -2, s*k - 3 = 3*p. Is (-2)\/(-6) - 65\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19969114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:16 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8712 and 55796004.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 0, -5*v + 2*a = -2*v - 704. Calculate the highest common divisor of v and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(576) + sqrt(576) - sqrt(576)) + sqrt(576))\/(1*sqrt(800)) + (((-4*sqrt(240))\/sqrt(10))\/sqrt(12) + 2)**2.\nAnswer: -71*sqrt(2)\/5 + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujxvut. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 756\/5597?\nAnswer: 756\/5597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 14019 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - i - 1. Let a(b) = -b + 8. Let h be a(9). Let z be q(h). Suppose 0*u = 5*u + 15, z*n + 5*u = 1. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 12*w**2 - 21*w - 6. Let g be u(-10). Suppose -1550 = -g*f - f. List the prime factors of f.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6755802 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48805.\nAnswer: 5, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 5 + m)*(86 - 153 + 283)*(-3 - 2 + 3)*(-4*m**4 + 0*m**4 + m**4).\nAnswer: 1296*m**5 + 3888*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -490808199*i**2*w + 893707*i*w wrt i.\nAnswer: -981616398*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 + g**2 - 2 + g**3 + 6 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 18 = -38*p. Let n(r) = -3*r**2 - 2. Let m = -52 - -56. Let i(f) be the first derivative of -2*f**3\/3 - 2*f - 1. Calculate m*i(j) + p*n(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-8129\nAnswer: 1625.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 12*c - 1480 = -74*c + 8*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2323008 divided by -888\nAnswer: -2616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -25*s**2 + 278*s - 11. Let h be o(11). What is the greatest common divisor of 77 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 11.1.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 538\/207 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (285\/95)\/((-3)\/31)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 + 9*j**2)*(-8*j - 15*j - 8*j) + (0 + 0 + 2*j**2)*(4 - 4 - j).\nAnswer: -312*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -25674.6?\nAnswer: 25674.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -24*z**3 - z**2 - z + 31. Let h(k) = k**3 + k**2 + k. Let x(r) = f(r) + h(r). Differentiate x(m) wrt m.\nAnswer: -69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*f - 33 - 2215, 4*w = f - 1790. Let v = w + 754. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2. Let f(a) be the first derivative of 4 - 1\/2*a**2 + 0*a. Give f(d(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o + 1. Suppose 3*a - 21 = -0*a. Let j(r) = r**2 - 4*r - 3. Calculate the remainder when i(3) is divided by j(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -49\/2. Let r = 14.3 + -14. What is the closest to 0.1 in u, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 4373*a**2\/2 - 26229*a\/4.\nAnswer: -a*(a + 3)*(a + 8743)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-14820)\/(-210))*(-8)\/14\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b - 3. Let z be c(0). Let y = z + 14. Suppose -4*s + y + 37 = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677177 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3629760 rounded to the nearest ten thousand?\nAnswer: 3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11667964 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 - 228*m + 1377\/2 = 0. What is m?\nAnswer: -459, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert c32e (base 16) to base 6.\nAnswer: 1023154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 44*h + 89. Let s be d(45). Is s*(-21)\/(-18)*18 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 2*z + 281. Let x be t(0). Let b = x + -82. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -27) + -589 + 599.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s. Suppose -5*z + 3*z - q + 5 = 0, -8 = 4*z - 4*q. Suppose -4*t = 0, 2*d - t + 2 = -3*t. Let b(x) = -x**2 - x - 1. What is d*r(y) + z*b(y)?\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d = 7433 - 7181 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 157 * -0.1127\nAnswer: -17.6939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 63*y + 97. Solve 0 = y*c - 0*j + j + 19, 2*c + j + 14 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351318, 350803, 350276, 349731, 349162?\nAnswer: 348563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*h**2 - 132*h + 132*h in the form n*h + v + y*h**2 and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -5*r**7\/84 + r**6\/12 + 7*r**5\/8 - 5*r**4\/24 - 5*r**3\/2 + 192*r. Solve a(k) = 0 for k.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/30 + 6*t**2. Let w(p) = 5*p**2 - 3*p. Let a(k) = -26*k**2 + 16*k. Let z(f) = 3*a(f) + 16*w(f). Determine g(z(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-3648)\/108)\/38.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(200)*-6)**2 - ((sqrt(171) - (sqrt(171) - (sqrt(171) - -6*sqrt(171)*-1))) + sqrt(171))\/sqrt(9).\nAnswer: 4*sqrt(19) + 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 471231329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/48 and 71\/258.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53 (b) -1\/7 (c) -0.07 (d) 0.21 (e) 1 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let g(p) = 2*p + 2. Suppose 0 = -f + 4*f. Suppose -3*h - 5 - 7 = f. Let y(m) = m**2 + 5*m + 5. Let b(q) = h*y(q) + 10*g(q). Give c(b(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/(6\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 167*w - w**2 - 1 - 167*w + 2*w**3 + (0*w**3 + 3*w**3 - w**3)*(4 - 2 + 0).\nAnswer: 6*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 z when three letters picked without replacement from zrumzmm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41\/44 - 3\/4. Which is the biggest value? (a) -2\/3 (b) 0.3 (c) f (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 1.5. Let g = 43.4 + -43. Put q, 0.03, 1, g in increasing order.\nAnswer: 0.03, q, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15045 - 7475. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 6 - 4 + 3643*i - 9 to the form h + n*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + o. Let y = o + 13. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1 - 1 - 9*i. Let j(s) be the third derivative of -s**5\/60 - s**2 + 173*s. Calculate j(u(a)).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**2\/2 + 7*b + 1. Let i(k) be the second derivative of -k**4\/4 + 29*k**3\/6 - 23*k**2 + k. Let v be i(8). Determine g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 5*w + w**2 - 3 + 15. Calculate the remainder when 10 is divided by f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*r - 44*r - 61*r + 85 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8485 divided by 5.\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.03.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1300921 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 367 + -353 + (-20 - 2) + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -86*m**3 + 66*m**2 + 375*m - 1. List the prime factors of b(-5).\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -556, -1\/9, 0.08.\nAnswer: -556, -1\/5, -1\/9, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*w - 75 = -495*w + 260*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 597458 + 1?\nAnswer: 597459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/15)*q*q)\/q**(-4\/5)*(q**(2\/3)*q*q)**(-2\/81) assuming q is positive.\nAnswer: q**(875\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 21 + 29 - 40 - 133*m**2.\nAnswer: -133*m**2 + 2*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21139 - -21129. Put u, 188, 2 in increasing order.\nAnswer: u, 2, 188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 12. Let t be d(12). Let j be t\/(-8)*(-2)\/(-6). Let x = -11 + 8. What is the third biggest value in x, -2, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (451\/3)\/((-48)\/(-26352)). Is (-1)\/3*-2*l\/122 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1620))\/(sqrt(36)*2))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 4*y + 8. Let f be v(-9). Let q be 0 - (-13)\/(13\/120). Let h = f + q. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) - (sqrt(3) + 1 + -3)) - sqrt(15)\/(sqrt(880)\/sqrt(11)).\nAnswer: -12 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 10*b - 3*s - 6 = 0, 5*s = 4*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*g + 15, 2*n + 6*g - 116 = 0. Calculate the remainder when 380 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 184132.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 4*l, 5*l - 18 + 2 = -a. Let r(n) = 1 - 2*n**2 + n**2 - 4*n + n**2 + 3*n**2. What is the units digit of r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72750?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-20 - -13) - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 + -216. Suppose -r*s - 4*a + 976 = s, 978 = 5*s + 2*a. What is the remainder when s is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330174.\nAnswer: 2, 3, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-1046*d - 2 + 375*d + 516*d).\nAnswer: 310*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -5*i**5\/12 - 173*i**2. Let o(c) = -10*c. What is o(y(n))?\nAnswer: 250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -5) + (-8 - -21)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 7*a**3\/3 + a. Let x(f) = -8481 + f + 8481. What is d(x(b))?\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 3, g: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -761 - -632. Let a(r) = 3*r + 21. Let g be a(-7). Put s, g, 4 in descending order.\nAnswer: 4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.168 times 0.461?\nAnswer: 16.673448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33046278781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (348307 + 0)\/(4 - 5). Let i = v + 664307. Round i to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280.7355 months to centuries.\nAnswer: 0.23394625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562351341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5303 divide 40769464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1183 - -2)*(-48 - -37) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 48985.\nAnswer: 146955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36354.607 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 3. Suppose w = -n + 3*c, 0*c - 2 = -c. Let b = n + 12. Calculate the highest common divisor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:38 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0675 - -0.0325. Let m = -7.1 + i. Let b = 35\/2 - 18. Sort b, -2, m in descending order.\nAnswer: b, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31274 - 938309\/30. Find the common denominator of -79\/30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (sqrt(700) - sqrt(700)*-1) + (-1 + sqrt(112))**2.\nAnswer: 12*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 243410103?\nAnswer: -243410104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g + 3*g + 3*g. Let p(h) = 0*h - h + 4*h. Determine b(p(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3\/3 + 5*r**2\/2 - 4*r + 8803. Let o = -22 - -26. Determine t(o).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**4 - 2*t**3 + 8*t**2 - 107. Let c(v) = 8*v**4 - 9*v**3 + 30*v**2 - 428. Let u(b) = -2*c(b) + 9*n(b). What is the derivative of u(x) wrt x?\nAnswer: 8*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + b + 7, 0*d - 21 = 3*d - 3*b. Suppose 0 = 11*t - 237 + 83. Calculate the remainder when d + 8 + 38*1 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 17*j**8\/168 + 37*j**5\/60 + 8*j**2. Find the third derivative of l(t) wrt t.\nAnswer: 2040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6006904*a*h**2*n**3 + 11*a*h**2*n + 1286*a*h*n**3 - 3*a*h*n**2 - 2*a*h*n + 15*a + 5 wrt h?\nAnswer: 12013808*a*n**3 + 22*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1206 by 6.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23675 and 114775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/4 and (-3 + 137)\/((13 - 9)*(-3548)\/(-4))?\nAnswer: 3548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:02 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-2 + 0 + (0 - -10) + (-9 - -9))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1161110, -1161103, -1161098, -1161101, -1161118, -1161155, -1161218, -1161313?\n\"Answer: -n**3 + 5*n**2 - n - 1161113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*h + 14, 3*h - 4 = 2*h. Suppose -c = -2 + 5, z*c + 75 = 2*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -23, 0, -69, -6 in descending order.\nAnswer: 13, 0, -6, -23, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/116347 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j - 4. Let h be n(-2). Suppose q - y - 6 = 2, 0 = -h*q + y + 11. Let r(g) = -4 + 8 - g - 3*g. Determine r(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 4*j**2 + j - 4. Let a be c(3). Let r(v) = v**2 - 11*v + 26. Let o be r(a). Solve 0*p - 4 = o*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*(5 - 3). Let p(c) = c**3 - 3*c**2 + 3*c - 3. What are the prime factors of p(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407840 by 5.\nAnswer: 81568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47652089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 211103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -210 and 1.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0168 + 0.9832. Which is the closest to 7? (a) 4\/7 (b) 2\/13 (c) i (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 17. Let k(g) = 24*g**2 - 86. What is 3*k(d) - 14*t(d)?\nAnswer: 2*d**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.408?\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -25486 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - -13. What is the greatest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1938, 3867, 5796, 7725?\n\"Answer: 1929*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/72 and -61\/760.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*r - 11800 = 1616 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 509, 27325, 4, 1 in descending order.\nAnswer: 27325, 509, 4, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1030832 and 257708.\nAnswer: 1030832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 6:06 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -398709 divided by -57\nAnswer: 132903\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0179 minus 1.1?\nAnswer: -1.1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -3, -23, -24 in ascending order.\nAnswer: -24, -23, -3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from mjmjjjjjjjmjjj.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s - 33*s = -206*s - 6355 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 13, -13206 in descending order.\nAnswer: 13, -0.2, -13206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5359922+-6064282\nAnswer: -11424204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7854 and 643412.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/7 - 225*r**2\/7 - 3816*r\/7 + 8556\/7 = 0. What is r?\nAnswer: -46, -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and -68\/2145.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(96\/54)*(-3)\/(-27)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -181759, -181755, -181749, -181741, -181731?\n\"Answer: r**2 + r - 181761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/15 + (130\/(-6))\/(-5). Let o be (8\/(-10))\/(6\/(-30)). Suppose -5*y - s = 0, 0*y - o*y - 37 = -z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huuo when four letters picked without replacement from {u: 4, h: 1, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {j: 3, g: 4, q: 1, w: 5, t: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3*p**2 - p**2)*(2*p - 4*p + 0*p)*(27*p**2 + 8*p**2 - 13*p**2).\nAnswer: 88*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5209, 7\/2, 13 in descending order.\nAnswer: 13, 7\/2, 2\/5209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 - -6. Let l = -112 - f. Let d = 1273\/12 - 106. What is the closest to 1\/10 in d, l, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6719 - -6729. What is the smallest common multiple of f and 1218?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 2*k - 1. Let l be s(-2). Let p be ((-3)\/(9\/6))\/l. Suppose -p*x + 3*n = -n + 12, -5*x + 2*n - 6 = 0. Solve x*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 452*r + 2 - 15*r - 884*r + 7*r**3.\nAnswer: 2*r**3 - 1351*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/30)\/((-18)\/(-60)*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/12534 and 85\/366.\nAnswer: 764574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9968777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o = -3*o + 3*o - 10*o + 5200 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1 - (-26 + 2 - (-1125)\/25).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/((-4)\/30). Suppose v*z + 1046 = -5*c + 3271, -451 = -z - 4*c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 2315222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 4. Let t be d(11). Let u = -7163.6 + 7164. Sort -4, t, u in ascending order.\nAnswer: -4, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 5*j + 9*l - 16, 0 = -2*l - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -652267?\nAnswer: -652263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -7\/9 (c) 0.03 (d) 7\/4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d - 15. Let a(u) = u - 1. What is 2*a(w) + s(w)?\nAnswer: -9*w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 185? (a) -4 (b) 2 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 8*f + 9. Let i be s(-1). Suppose 3*l - 5*t = 28, i*t = -2*l - 14 + 1. Which is the third biggest value? (a) -2\/17 (b) l (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, 7, 12, -15, 2 in decreasing order.\nAnswer: 21, 12, 7, 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*h - 37, -10 = 3*b - 8*b. Suppose -42 = -f + h. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 10 = 12*u. Suppose -5*c + 35 = -0*c. Calculate the remainder when c is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.443456mm to micrometers.\nAnswer: 2443.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0 (b) 0.2 (c) 184 (d) 5 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340 and 394?\nAnswer: 66980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000466 to seven dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:24 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 12*b + 94*b - 6*b - 58*b**2 - 9*b**2.\nAnswer: -67*b**2 + 76*b + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 10. What is q(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/24897 at least 122\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 0*j**4 - 4*j**3 + 2 + j**3 + 7*j**3 - 2*j**2 to u*j**2 + a*j**3 + g*j**4 + f*j + l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/1 - 195\/45. What is the closest to 1 in d, -0.4, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74551 and 4?\nAnswer: 298204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298729?\nAnswer: 29, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/9)\/(((-4)\/54)\/(128\/(-576)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 3*p**4 - 2*p**4 + 4*p**4 - 4*p**4 + 2*p**4 + (6*p**4 - 5*p**4 - 2*p**4)*(4 - 2 + 1).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192261628 a multiple of 1950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3488*1083.\nAnswer: -3777504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Calculate the remainder when ((-44)\/(-10))\/(q\/(-15)) is divided by 4\/(-10) + (-62)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j**3 + 6942*j**2 + 164*j - 150908964.\nAnswer: -21*j**2 + 13884*j + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23589 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: 9\/5 - (24 + (-2541)\/105)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 4*x - 1, -7*m + 4*m = -3*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*o**2 + 148 - 229 + 27*o**3 + o - 26*o**3 to i*o**3 + g + k*o + n*o**2 and give g.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/144 and (1937\/(-351))\/(19 - ((-3)\/(-3) - 6))?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 79*o**2 - 28*o + 28*o.\nAnswer: 79*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1234, 2143, 3066, 4003, 4954, 5919?\n\"Answer: 7*s**2 + 888*s + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-155)\/(-30) - (-1)\/(-6). Let r(j) = 4*j + 17. Let k be r(-5). Sort s, 2, 1, k in descending order.\nAnswer: s, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -69 = -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 2. Suppose 3*s + 23 = -5*c, k*c - 2*s + 31 = 2. Let i(o) = o**3 + 8*o**2 + 7*o + 7. What are the prime factors of i(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*sqrt(104)*2*2)\/((sqrt(8)*1*-2 + sqrt(8) - sqrt(8)) + (sqrt(240)\/sqrt(5))\/sqrt(6))*4.\nAnswer: 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 23*i + 14. Let z(c) be the first derivative of -4 + 1\/3*c**3 - 4*c**2 - 5*c. Let h(y) = -3*a(y) - 8*z(y). Give h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(256\/288). Let z = -153 + 84. Let b = 72 + z. What is the second biggest value in x, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2\/3 + 31289*i\/3 + 15644\/3 = 0.\nAnswer: -15644, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1494, -2952, -4350, -5658, -6846, -7884, -8742?\n\"Answer: 5*m**3 - 1493*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2202, 7275, 15714, 27519, 42690?\nAnswer: 61227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012491 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.036 + 2.076. Let y = w + -0.04. Let n(p) = -4*p**3. Let j be n(1). Which is the closest to 2\/3? (a) y (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.1 + 14.34. Let k = -4 + g. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/7 >= -5.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-1393))\/((-572)\/(-88)).\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2*u**2 - u + 6. Calculate the remainder when (-10)\/(-85) + (-17081)\/(-323) is divided by h(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2348*n + 36 + 3 - 107.\nAnswer: -2348*n - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -321022011223 (base 4) to base 5\nAnswer: -12313433111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Let a = -11 + 20. Let r(t) = 2*t**2 - a + 9. What is p(r(i))?\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*v**3 - 19*v**2 - 2044?\nAnswer: 39*v**2 - 38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i - 15. Let z be l(0). Let y = -10 - z. Suppose y*j - 10 = 0, j = -o + 2*j + 9. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, i: 1, z: 6, f: 5}. Give prob of picking 1 z and 1 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1638 and 169\/966.\nAnswer: 37674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -206673, -206841, -207129, -207543, -208089?\n\"Answer: -c**3 - 54*c**2 + c - 206619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 56181905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7090642676?\nAnswer: 2, 13, 17, 23, 277, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 3 + u**3 - 6*u + 3 + 0 + u**2. Let b be c(-4). Is ((-138)\/2)\/(6\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -961*d + 1172*d + 2853*d.\nAnswer: 3064*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 12 = 4*c - 17*v, 5*v = -3*c - 14. Put c, 3, 27, -1 in ascending order.\nAnswer: -1, c, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3*9\/(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 34 = -5*z, 7 = -g + 3*z + 1. Let j be (-22)\/(-24) + (-6)\/g. Let k = -0.3 - 1.7. Which is the nearest to k? (a) 5 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*z + 1369*z**4 - 26*z + 69 + 186 + z**2 - 2*z**3 - 1365*z**4 as h + p*z + i*z**3 + g*z**4 + y*z**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -970767\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -y + 4, 32*y - d = 34*y + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33518229?\nAnswer: 3, 29, 385267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*g, 5*z = -0 + 5. Let i be (g\/22)\/(7\/14). Let 2\/11*r + 4\/11 - i*r**2 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15547 or 8?\nAnswer: -15547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 7:05 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/2)\/k*k)\/(k**(-2\/5)*k))\/(k*k\/(k*k\/k**(-7)*k)*k**(-4)) assuming k is positive.\nAnswer: k**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818.323t in nanograms?\nAnswer: 5818323000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 18*c**2 + 5*c - 81. Let k be i(18). Solve 3*x - 2*h = 8*x + 29, -x - k = 2*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 3*r**2 + 16 - 2*r - 32 - 12 as z*r**2 + m + u*r and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10025195261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -77. Suppose 2 = -2*w - a - 4, -w - y*a = 3. Let t be 27 - 3\/(-6)*4 - w. Is t != 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**4\/3 - 9*w**3\/2 + 12*w**2. What is the tens digit of i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 6. Let t(h) = -1. Let s(g) = -4*t(g) - z(g). Let d be s(-3). Suppose d*u**3 - 2*u**4 + 3*u**2 + 2 - 4*u - 3*u**2 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + j + 64*j**2 - 23*j**2 - 35*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(22)\/sqrt(2) + -1 + sqrt(99)\/(sqrt(45)\/sqrt(5))*5.\nAnswer: -2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270) - -1*sqrt(270))\/(5*(sqrt(6) + sqrt(6)*2)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**5\/20 - 3*s**4\/4 + 5*s**3\/3 - 6*s**2 - 14*s. Let x be j(8). Solve 0*p + x*p = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2 + 2 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/2 + 0)\/((-6)\/12). Suppose 12*w = m*w. Suppose 10*s - 1308 + 368 = w. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 - -149. Sort -14, r, 5.\nAnswer: -14, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 4. Let s be z(4). Suppose 0 = -4*f + s*a + 12, 0 = -0*f - f + 4*a + 3. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(12) + sqrt(12) + 3*sqrt(24)\/sqrt(2))\/sqrt(3))\/(-3*sqrt(6)\/(sqrt(300)*1)).\nAnswer: -50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 2, v: 2, h: 1}. Give prob of sequence oh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 minutes after 10:34 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 7. Let j = -15 + m. Let u = j + 13. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 391667636 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 12*o + 2. What is r(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 10*k + 23*k**2 + 0 + 5*k - 5*k**2 + k**3 to the form z*k + j*k**2 + t + a*k**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(-69)*(-4 + 1)*1. What is the closest to o in 15, 2\/7, -14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35689990967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 - 5*n - 13. Let m be o(4). What is the third smallest value in m, 5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o = 6. Suppose 0 = 3*j - j + 2. Is 23 a factor of j + o\/1 - -26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (578\/8670)\/(12\/(-3)).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 3:55 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3374 or -3379?\nAnswer: -3374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = -844*d + 811*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -146219754 to the nearest 100000.\nAnswer: -146200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n - 59*n = -370. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h + 4. Let v be l(-4). Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4136 and -19\/213976.\nAnswer: 110625592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1098 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 8*d**2 - 8*d - 3. Let v be w(-7). Suppose v - 3 = -u. Let t = 1013\/2744 + 2\/343. Is t at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592019?\nAnswer: 592019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - k - 9348, -6*j + 3*k = -7*j - 4679. Let w = -2158 - j. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 4*j - 4*f, 0 = 2*j - 2381*f + 2377*f + 32 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 249 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 + 2*r**2 - 2*r - 197. Let g(k) = -2*k**3 - k. Let y(j) = -c(j) + g(j). What is the hundreds digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/10, 1\/2, 1\/184?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3875?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*c - 6 + 21 = 0, -5*p - 5*c = 25. Solve 3*q + q + 12 = p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(18\/24 + (-1)\/(-4)). Solve l*f + 16 = 2*z, -z - 20 = z + 4*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i - 479*i + 43*i + 11799 = 0 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 - 5*m**2 - 4*m**2 + 9*m**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -359831 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.208033149 rounded to four decimal places?\nAnswer: 0.208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 3, f: 3, j: 3, p: 10}. Give prob of sequence fkpf.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736348.32 rounded to the nearest 1000?\nAnswer: 2736000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (142\/3)\/((-16)\/(-24)) is divided by (-5)\/((-85)\/323) - (0 - 5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-240)*9*4\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/28*(-1)\/5*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11)*d\/((d*d\/(d\/(((d*d\/d**(-13))\/d)\/d*d)*d)*d)\/d))\/((d*d**(-3)*d*d)\/d**(-3\/14)))**24 assuming d is positive.\nAnswer: d**(-4068\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38975 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y + 14*y**2 - 8*y**2 - 4*y**2 - 3 + 5 + 8*y**2. Let j(v) = -10*v**2 - 6*v - 2. Calculate 7*j(w) + 6*u(w).\nAnswer: -10*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 5, d: 3}. What is prob of picking 1 z and 1 d?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 17 = -3*k - 5*x, -4*k = x + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 109. Suppose q*h - 24 = -3*h. Solve -2*s = 2*r - h, 4*s = -2*r + 4*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-8))\/((-200)\/(-320)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11778, 8518, 5260, 2004, -1250?\n\"Answer: v**2 - 3263*v + 15040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.141 - 38822815.\nAnswer: -38822814.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/64 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 at most -155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22 - -13)*(-10)\/3. Let z(m) = c*m - 51*m + 27*m - 3 + m**2. What are the prime factors of z(-10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, -157 in ascending order.\nAnswer: -157, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 45. Let h(a) = 25*a**2 - 9*a. Let q(y) = -38*y**2 + 14*y. Let j(s) = -14*h(s) - 9*q(s). What is j(d(u))?\nAnswer: -8*u**4 + 720*u**2 - 16200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12993244 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 1021.7.\nAnswer: 1015.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2 minus 0.4?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 10, p: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 454710465 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7068 = 1392*d - 1394*d. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -93*u - 203. Let k be z(-13). Let f = -144 + k. What are the prime factors of f?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 - (-11 - (-6 - 0)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17381703 is divided by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 q when three letters picked without replacement from {x: 2, q: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 516*p**3 + 15*p**2 + 2*p. Let t(y) = -1031*y**3 - 32*y**2 - 5*y. Let b(j) = 6*t(j) + 13*x(j). What is the third derivative of b(w) wrt w?\nAnswer: 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -100\/3. Let d = 1.5 + -1.2. What is the smallest value in -5, t, d, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19806 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369.616m to kilometers.\nAnswer: 0.369616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63221 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6347 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -34*k**3 - k**2 + 56*k - 1. Let g be c(7). What is g rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - (-26 + 18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -282*p**3 - 6265*p**2 - 1324*p + 396 = 0.\nAnswer: -22, -18\/47, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*j - 3*a, a = -j + 4*j + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 - 15*d - 2 - 6*d**2 + 14*d**2. Let n(v) = -v**2 + v - 1. Let y(o) = -l(o) + 2*n(o). What is the second derivative of y(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*(0\/(-6))\/(-2))\/(-2). Solve 3*c - 4*f + 8 = p, 7 - 3 = -4*c + 4*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*r**3*z**2 + n*r**3 + 5*n*z**3 + 2*n*z + 19*r**3*z**3 - 12*r*z**3 wrt z?\nAnswer: 30*n + 114*r**3 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 + -499. Let x = -527 - m. What is the remainder when x is divided by ((-2)\/1)\/(4\/(-62))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111100100001101010 (base 2) to base 8.\nAnswer: 2744152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 17 - 2. Solve -z - 1 = -w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.352732 to three decimal places.\nAnswer: -5.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52, -80, -10, 158, 424, 788, 1250?\n\"Answer: 49*t**2 - 175*t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3188*c - 28884. Give s(9).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-4\/9))*v\/(v*(((v\/(v*v*v\/(v*v**4)))\/v)\/v*v*v)\/v))\/(v*v*v**(-1\/2)*v*v)**(1\/3) assuming v is positive.\nAnswer: v**(-65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 45294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b5 (base 12) in base 9?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525378344?\nAnswer: 2, 1811, 36263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 6*c + 30. Let s be w(4). Let b be (s\/45)\/((-5)\/90). Solve i - 14 = -5*f, -4*i + 0 = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/4 + 3*n**3\/4 - 3*n**2\/4 - 7*n\/4 + 3\/2 = 0. Calculate n.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 313, -16, -0.04 in ascending order.\nAnswer: -16, -11, -0.04, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 40, 30, 18, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -86699.86 to the nearest one thousand.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3394*n - 3391*n - 3*c, 0 = -n - c - 5 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.57522 rounded to 0 dps?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50388 or -50391?\nAnswer: -50391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1960 and 89\/82124?\nAnswer: 821240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -5499?\nAnswer: 494.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/5 (b) -15 (c) -1\/9 (d) -1615\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.12. Let f = -0.0800048 - c. What is f rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 + 129*c**2 + 4854*c - 204240 = 0. Calculate c.\nAnswer: -40, 37, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ae + -19?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 357.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/41, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**3 + 13*w**2 - 19*w - 7. Let b(c) = 7*c**2 - c - 1. Let r(d) = 9*d**3 + 30*d**2 - 16*d - 8. Let h(a) = 3*b(a) - r(a). Calculate 7*h(i) + 5*s(i).\nAnswer: 2*i**3 + 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 66 - 51 + 13 - 2*f. Let b be o(12). Let n be -3 - (3 + -3 + -3). What is the fourth smallest value in b, -3, n, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(4 - 1) + -4. Determine z, given that 12 - 2*z - 3 - 7*z**3 - 9 + 9*z**i = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41093 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -173975?\nAnswer: -173971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (10 - 25) + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 290, 979, 2318, 4523?\nAnswer: 7810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*p**2 - 21*p**4 + 392*p - 392*p wrt p?\nAnswer: -504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 + 4?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5\/8, 0.1, -0.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53046794651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75 - -47012?\nAnswer: 47087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 893178 and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 287 + 5*h**2 - 287 - 11*h - 4*h**2 as n*h**2 + v + k*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/15)\/((-12)\/18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/239 - 7225\/2629. Find the common denominator of i and 52\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1\/b*b)\/b)\/b**(1\/9))**(1\/26)*(((b\/((b*b\/b**(-1\/7))\/b))\/b)\/(b\/((b\/b**(-3\/2)*b)\/b)))**2 assuming b is positive.\nAnswer: b**(1163\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**28*g)\/(((g*g**(-37))\/g)\/g)*(g**(-1\/19))**34 assuming g is positive.\nAnswer: g**(194\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/(-10)*680\/(-306)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0 + 0*z**3 + 1\/120*z**5 + 0*z**4 - 2*z**2 + z - 1\/480*z**6. Let q(f) be the first derivative of b(f). Solve q(d) = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 167 + (12\/10)\/(39\/(-130)). Let g = 177 - x. What is the lowest common multiple of g and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:43 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 4, 1\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(1\/38). Suppose 3*d = -3*w + w + f, 5*d - 25 = 0. Suppose -5*m + 726 = -j - j, -6 = w*j. What is the greatest common factor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 15*l + 3. Let h(z) = 3*z**2 + 22*z - 5. Let m(a) = 5*h(a) + 7*p(a). Let i = -12 - -7. Determine m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -7, -3, 4, 5 in descending order.\nAnswer: 9, 5, 4, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 3*f**2 - 3*f. Let q be v(-2). Suppose -q*s = -3*s. Solve o - o**2 + 0*o + 2 + s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5364 + 3682. Do j and -5044\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*r + 718*r - 179*r - 183*r - 182*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(((-1)\/(-298))\/(5\/(-20))). Suppose 3*t - 3*r - 462 = 0, 2*t = -2*t - r + j. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58732 is divided by 58318?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38*16\/17 + (-5140)\/(-21845)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*p - 80 = 0. Suppose -48 + 170 = 5*c - 4*u, -c = -5*u - p. Solve 3*y + 2 = -2*f, 0 = 2*f - 0*f - 4*y - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 - p**3 + p**3 + (4*p + p - 4*p)*(-2*p**3 + 5*p**3 - 2*p**3) - 3*p**4 + 6*p**4 - 2*p**4 - 3*p**4 - 4*p**4 + 5*p**4)*(1040 - 1606 - 486).\nAnswer: -2104*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-11))\/((-9)\/144*8)*(-792)\/(-864).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 17 - 3 - (38 + -42).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y, -206*y + 210*y = -2*f + 96268. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + (-3 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*0.7103047.\nAnswer: -0.42618282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14485.454 take away 4.8?\nAnswer: -14490.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 3*t + 0*t)*(-1 + t + 1) + (0 + 2 - 4)*(-t - t + 5*t)*(-324 + 324 + 961*t) in the form m + r*t + j*t**2 and give j.\nAnswer: -5765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 - 3 + 3 - 3*z**2 + 3*z**2 + 2*z**4 + (-2 + 1 - 1)*(2*z**4 + 2*z - 2*z) - 6*z**4 + 9*z**4 + 5*z**4.\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.406625 millilitres?\nAnswer: 0.005406625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcli when four letters picked without replacement from fqliqqqqcccqccqic.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163942 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4\/12 + 11*v**2. Let o(u) = 287*u**2. Determine r(o(m)).\nAnswer: 574*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 154*a + 152*a + 60 = 0, -16 = 3*q - a + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 29 - 31 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppninpmnznzpnnp. Give prob of picking 1 p and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 + 55776*f - 194435136 = 0. Calculate f.\nAnswer: 6972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*i*u**2*x**3 + 2*i*x**2 + u**3 - 4*u*x**3 - 39*x**3 wrt u.\nAnswer: -88*i*u*x**3 + 3*u**2 - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2 - 1701\/14. Let n = 549 - z. Suppose 7*w = -w + n. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 2022168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/2 - 54*v + 1430 = 0?\nAnswer: -130, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.1574 centuries in millennia?\nAnswer: 3.11574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66205 divided by 18.\nAnswer: -66205\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 392957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 11*p**2 - 2*p. Let t be u(11). Let g(v) = 8*v + 195. Is g(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 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: Let m(t) = 100*t. Let h(s) = -1597*s. Calculate m(h(b)).\nAnswer: -159700*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0 - 8. Suppose -u + k*o + 850 = -0*o, 5*u = 5*o + 4325. Is u\/8 - 1\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -5485?\nAnswer: 7\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -928*h**3*s - 39*h**3 - 16*h with respect to s.\nAnswer: -928*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-3))\/((-1)\/(-5)). Let i be (-1 + 20\/8)*-4. Let m(g) = 3*g**3 - 5*g**2 + 4*g. Let x(y) = -4*y**3 + 6*y**2 - 5*y. What is i*m(q) + z*x(q)?\nAnswer: 2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 10*f - 14 - 5)*(3*f - f - 5*f + (-f + 2*f - 2*f)*(-3 + 2 + 3)).\nAnswer: -50*f**2 + 25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4430.2 + -4846. Round d to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4108983 by 1369661.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12113, -23562, -35021, -46484, -57945, -69398, -80837?\nAnswer: -92256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (9 - 18) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q + 1. Calculate t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410123 (base 5) in base 6?\nAnswer: 541341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j - 1548 - 169*j**6 - 40*j**3 + 5*j**2 + 40*j**3 - 4*j - 3*j**2 - j**5 wrt j?\nAnswer: -20280*j**3 - 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2002 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 10 + 58\/(-8). Let h = o - -47\/12. What is the second smallest value in h, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-2))\/(-2 - -1). Suppose -2*z = -h*z + 126. Let x be 35\/6 - (-7)\/z. Solve -5*s + 14 + x = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/7, 2, -0.02?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let r(b) = 97425562*b**2. Calculate r(o(f)).\nAnswer: 97425562*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.81 + 28.81. Let o be (-2*(-2)\/44)\/(4\/(-8)). Which is the second biggest value? (a) 2\/9 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-4) + (-209)\/(-44). Suppose -j*g - 36 = 32. Let v = g + 34. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -56. Let x(f) = 2*f**2 + 108*f - 119. Let c be x(-55). Put -0.13, c, w in descending order.\nAnswer: w, -0.13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -227695, -4, 78 in descending order.\nAnswer: 78, -4, -227695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(3 - 3 + v) + 2*v - v + 0*v - 4 + 4 + 3*v - 24569 + 253*v + 24569.\nAnswer: 258*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81923 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: Let r(f) = 22*f**2. Let t(l) = -20*l**2. Determine r(t(m)).\nAnswer: 8800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8442 - -8438. Sort -0.1, 2.1, 1, z, 3 in descending order.\nAnswer: 3, 2.1, 1, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 340 - 64. Let l be w\/6 + 2\/(18\/3). Solve 0 = -p - 3, 3*p - l*p - 15 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 61869926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/sqrt(810))\/(-4*sqrt(27)).\nAnswer: -sqrt(13)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 1, o: 1, e: 5, c: 6}. What is prob of sequence nc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -8*c + 10 - 1 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is e9b98 (base 15) in base 14?\nAnswer: 154459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s - 48*s + 112*s**3 - 32*s + 122*s.\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1448, -2835, -4222, -5615, -7020, -8443?\n\"Answer: -g**3 + 6*g**2 - 1398*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50190, -50197, -50198, -50187, -50158, -50105?\n\"Answer: h**3 - 3*h**2 - 5*h - 50183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*w + 25*w + 2*w in the form y + q*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5341177?\nAnswer: 5341177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 + 12170*v + 3 - 12207*v - v**3 + 36 + 31*v**2. Determine u(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.6736 from -1027190.647.\nAnswer: -1027182.9734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3*q + 2*q)*(2*q**4 - 2*q**3 + 2*q**3) + 0*q**5 - 9*q**5 + 8*q**5.\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7416 equal to -474645\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13365.16 times -0.1\nAnswer: 1336.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 2*m + 16. What are the prime factors of 128\/m + -1 + 2?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/6 - 7775*h**3\/3 - 62468377*h**2\/6 - 2614670300*h - 169638463896.\nAnswer: -(h + 132)**2*(h + 7643)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = -2*l + 7*l - 33 - 9, -4*l = -5*p + 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -5, -15737 in increasing order.\nAnswer: -15737, -28, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 717422701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*h = 3*h - 107, 4*h + 150 = 5*l. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 - m + 5. Let r be 4*3*3\/(-36). Let v be r*5*(4 + -5). Suppose 0 = -v*g - 4*u - 18, 0 = 4*u - 3*u - 3. What is p(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515413\/3 bigger than 171805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) - (8 + (-119)\/28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c + 2 - 1 - 4. Let g(u) = -4*u - 2. Let m be 25\/25 - 5 - (-8 - 0). Calculate m*r(d) - 6*g(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-225)\/(-10))\/((-9)\/(-12)). Calculate the greatest common factor of z and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87373 and -1.\nAnswer: 87373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194518*o**5 - 7216*o + 2?\nAnswer: 3890360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -18 + (-1)\/(-3)*(3 - -6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*m - 0*a - 2*a, 3*m + a - 23 = 0. Let l(u) = 81*u**2 - u. Suppose 4*t + 0 = 4. Let i be l(t). Calculate the greatest common factor of i and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) - 1230\/(-110). Let k = -9 + t. Solve -k*b + 0*b + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 19*k - 183. Let d(f) = -15*f + 185. What is -4*d(a) - 3*g(a)?\nAnswer: 3*a - 191","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*x + 16, -6*c - 5 = x - c. Is x\/(-10 + 5)*106\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*b**4 + 96212*b**3*u**3 + 2*b**2*u + b**2 + 13*u**3 + 1167702*u**2 wrt b?\nAnswer: 456*b + 577272*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**7\/14 - 4*y**6\/25 - 27*y**5\/100 + 2*y**4\/5 + 2*y**3\/5 + 131*y + 4. Solve g(r) = 0.\nAnswer: -1, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 352*w**2 + 165*w + 275. Let i(z) = -13*z**2 - 6*z - 10. Let q(v) = 55*i(v) + 2*r(v). Let o(m) = 2*m + 87. Give q(o(f)).\nAnswer: -44*f**2 - 3828*f - 83259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598165 or -598167?\nAnswer: -598167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.628622 and 0.08721.\nAnswer: -5.541412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-2 - -9) + -1. Let n(o) = 6*o - 4. Let a = -1 - -10. What is the remainder when n(w) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/2*1 - 2. Let k be 0*8\/20*20\/24. Sort k, i, 3 in descending order.\nAnswer: 3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 9 + 11. Let f(g) = g**3 + 39*g + 6*g**2 - 17 + 18*g - 56*g. What are the prime factors of f(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 1)*(3 - 3*p - 3)*(-1748 + 1748 - 42*p**2).\nAnswer: 1008*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g. Let a(w) = w**2 + 10. Let p(k) = 2*k**2 + k + 5. Let t(o) = -a(o) + 2*p(o). What is v(t(d))?\nAnswer: 42*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 54*f - 131. Let b(z) = 27*z - 66. Let x(w) = -9*b(w) + 4*o(w). Find the first derivative of x(d) wrt d.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 87644 - 53949 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i**3)\/(i**6\/i**(-1\/5)))**(-2\/35) assuming i is positive.\nAnswer: i**(12\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 2, h: 1, d: 1, y: 2, t: 1}. What is prob of picking 1 h, 1 k, and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.9 (b) 2\/15 (c) -8 (d) -6.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39402)\/(-30) - (-3)\/5. Suppose 0 = 19*n - 13*n - d. Let g = 366 - n. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -2*f**3\/3 - f**2\/2 + 5*f - 2791. Let p(g) = 5*g**2 + 2*g - 11. Suppose -16 - 2 = 2*j. What is j*u(r) - 4*p(r)?\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 2. Let r(v) = -6*v + 11. Let y = 2 + -24. Let s = -5 - -3. Let f be s\/(-8) - (-30)\/8. Determine f*r(n) + y*u(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3842 and -1.21.\nAnswer: 0.464882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:47 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:30 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 870 and 55410.\nAnswer: 1606890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*b - 2*b + 103, -5*o + b + 175 = 0. Suppose -o = 16*s - 148. Let a be (-2)\/8 + (-85)\/(-4). What is the highest common factor of a and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**1\/(h\/(h*(h\/h**(-1))\/h))**(-12\/5))\/(((h*h**7*h)\/h)\/h*h\/(h\/(h*h**(-1)))*(h\/(h\/h**(1\/3)))\/h**(-4\/7)) assuming h is positive.\nAnswer: h**(-1082\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-1*sqrt(204))\/sqrt(12) - (-5 + -2 + sqrt(17)))*5 + 4)**2.\nAnswer: 390*sqrt(17) + 1946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21646826 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 p when four letters picked without replacement from {p: 1, r: 4, h: 1, t: 2, n: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.3 in -3\/8, -8\/29, -4?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 3*x + 102 = 0, x + 114 = -3*i. Let f = 61 + i. Let y be 3\/1 - 78\/f. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 12909088*b - 20830569123968.\nAnswer: -2*(b + 3227272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 128*b + 3579 - 24443. Solve 6 = -b*j + 161*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2 (c) -5 (d) -151\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5535078 to the power of 1\/2, to the nearest integer?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(75) - (sqrt(252)\/sqrt(7))\/sqrt(12)) + 1)**2.\nAnswer: 38*sqrt(3) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22167a (base 11) to base 8\nAnswer: 1262370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -10 + (-10 - (-1 - 11)) + 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 2 (b) 1 (c) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/5 (c) -0.3 (d) -6.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4669 - -41927\/9. Is -11 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 1. Let q be n(4). Suppose y - 9 = -h - 2, 5*h - 5*y - q = 0. Let u = 8 - 5. What is the second biggest value in h, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 49.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.6 + -18. Let t = -3.6 + a. Sort t, 3, -1 in increasing order.\nAnswer: t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.087 - -3.913. What is the third smallest value in g, 0.1, -33?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48315?\nAnswer: 3, 5, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317239158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2*g**3 - g**3 + (-2 - 2*g**2 + 2)*(-3 + 2*g + 3) + 2*g**3 + 3*g**3 - 4*g**3 + g**2 + 2*g**3 - g**2)*(0 + 2*g + 0) + 9*g**4 - 2*g**4 - 2*g**4.\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 505674.\nAnswer: 5\/252837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 divided by -3044504?\nAnswer: 291\/3044504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f**5*w + 5*f**4*w*x**2 + 41*f**2*w*x**2 - 7*f**2*w*x - f**2*w wrt f.\nAnswer: -480*f**2*w + 120*f*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppmp when four letters picked without replacement from ppmpppppmpmmpp?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893217?\nAnswer: 3, 13, 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68266 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179818, -182298, -184778, -187258, -189738?\nAnswer: -192218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, 2 in descending order.\nAnswer: 5, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 - 186. What is the smallest value in a, -4, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154245, 308559, 462869, 617175, 771477, 925775?\n\"Answer: -2*l**2 + 154320*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:04 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/10)\/(6*-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/532 (b) 0 (c) -3\/19 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1112201200222 (base 3) to base 8\nAnswer: -3104166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 15. Factor 0 - 2*a**2 + 12*a - y*a + 2 + 5*a**3.\nAnswer: (a - 1)*(a + 1)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 8*j**2 + 12*j + 11. What is k(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2261\/(-68) - -31 - (6\/10)\/(18\/(-45)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:49 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - w - 2*w - 16*w + 1. Let l be (-1488)\/868 - ((-4)\/(-14) - 0). Give f(l).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6245001\/8*k - 3\/8*k**3 + 7497\/8*k**2 + 1734028611\/8.\nAnswer: -3*(k - 833)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.564 days in microseconds?\nAnswer: 3677529600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrggmrgrggm. Give prob of picking 2 g, 1 r, and 1 m.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202201000330 (base 4) to base 12.\nAnswer: 3044224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -10 (b) -4 (c) 5 (d) 0.031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189116 is divided by 26889?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*w - 21 = 0, d + 8 = -0*d + 2*w. Let v = 95 + -90.7. Let g = v - 5.3. Which is the second smallest value? (a) -3 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 = 2*o, 2*o - 4*o + 2*a = -2. Let h be 986\/9 + 7\/28*o. Let d = h - 1208\/9. Calculate the common denominator of d and 97\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, 1 u, and 1 x when four letters picked without replacement from uduvzzzxuvzuyyz.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 - 634491*h\/4 + 634487.\nAnswer: (h - 634487)*(h - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*10 - (-1)\/(5\/10). Let l be (3 - 5)\/((-2)\/(-6)). Let j be l*(-1 - (-16)\/y) + 2. Solve -2*i + h = -j*h + 3, 2*i = -3*h + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1248 and 3\/182?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7941717*b*j - 2*j + 2416518 wrt b.\nAnswer: -7941717*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*a + 10*a - 11*a - 3*a + 6*a - 2*a + 0*a + 2*a + 0*a + (0*a + 2*a - 3*a)*(-5 + 3 + 1) + a - 1 + 1 - 3 + 2*a + 3 - 18*a - 19*a + 4*a - 4*a + a + a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52881579.\nAnswer: 3, 19, 34361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 35360789.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, j: 6, q: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - 29640\/(-32). Suppose 3*z - s = -2*l - 169, 3*z - 15 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 - 1\/2*a**2 - 1\/24*a**4 + 0*a**3 + 3*a. Let y(q) be the first derivative of d(q). Calculate y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13150 - 7353. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 21*o = 7015. Let w = 310 + o. Sort 4, w, -5, -3 in increasing order.\nAnswer: -5, -3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**2 + 0*i + 0*i)*(i - 2*i - 2*i) + (4*i + 0*i + 2*i)*(34 - 12*i**2 - 34) - 2*i**3 + 2 - 2 to the form r*i**3 + w*i**2 + o + y*i and give r.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29210 + 5627 = -15*k + 64632. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*q - 279 - 141 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2125*w - 1059*w - 1063*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12923196 divided by -2658\nAnswer: -4862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x - 318 = -30*x - 52*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x + 5*x + 41*x - 5*x + 3*x + 7*x + 3*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(1\/(-3)). Put s, 1, 6 in decreasing order.\nAnswer: 6, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -938571?\nAnswer: 1\/312857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2104 + 9*h - 2024 + 26*h + 4058 to z + p*h and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*i + 144 + 109*i - 146)*(-2*i + 2 - 2).\nAnswer: -342*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i*i*i\/i**4*i*i**(-2\/9)\/i**(-4))\/(i**2*i**(2\/9)*i*i**5*i**7) assuming i is positive.\nAnswer: i**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-341)\/(-66))\/31*6762\/23?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/57, 1, 3\/4, -4, -1888, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -559*v**6\/40 + 423*v**5\/20 - 955*v**2. Find the third derivative of r(z) wrt z.\nAnswer: -10062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 + 7*z - 52 - 48)*(1 + 0 + 5)*(17 - 8 + 65).\nAnswer: 3108*z - 1332","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43786223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/4 + 3*y**3 + y**2 + y - 110. Let z(l) = -2*l**3 - 20*l**2 - 4*l - 2. Let j(v) = 9*w(v) + 4*z(v). Calculate j(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6244, 12490, 18736, 24982, 31228?\n\"Answer: 6246*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*g - 415 + 434, -4*g + 13 = t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2133 or 0?\nAnswer: 1\/2133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18) - 29492\/3636?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 537*t**2. Let n(v) = -2*v. What is l(n(o))?\nAnswer: 2148*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/4 - 27*r**2\/4 + 37*r\/2 - 12 = 0?\nAnswer: 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*f**4*j*u - 34*f**3*j + 155*f*j*u + 9*f*j + f*u wrt f?\nAnswer: -624*f**2*j*u - 204*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -77\/4. Let a be 2\/10*(-5)\/2. Sort 0.2, a, n in increasing order.\nAnswer: a, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-44.4138\nAnswer: 666.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 12, 10, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnnb when four letters picked without replacement from bnbbn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 10. Let i(a) = -2*a + 24. Let t(o) = -5*i(o) - 12*u(o). Let s(g) = -280*g. Calculate s(t(m)).\nAnswer: 560*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 2*g**2 + 4*g**2 + 0*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -4*sqrt(68)*-1) + sqrt(68))\/sqrt(4).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/21*528\/32)\/(13\/91)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 2. Let j be c(-3). Let z(o) = o**3 + 32*o**2 + 165*o - 62. Let k be z(-25). Suppose -j*b = -517 + k. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*f. Let p = -3.45 - -5.9. Let r = 10.45 - p. Sort f, 4, r in descending order.\nAnswer: r, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1.4, 2\/47, 4\/7?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = q. Let y(p) be the third derivative of p**6\/40 - p**5\/60 + 25*p**2 - 156*p + 3. Determine y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (3 + 0)) + -2. Let o be x\/(9 - -3) - 2\/3. Which is greater: -3\/32 or o?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 88*s + 200. What is m(-41)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/3 + 152*y\/9 - 50\/9 = 0.\nAnswer: 1\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/9)*g*g**(-3\/8)*(g**1)**(-2\/15) assuming g is positive.\nAnswer: g**(257\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = r + 16, -5*r + r = j + 22. Let s(w) = -w**2 + 3. Let n(p) be the first derivative of -2*p**3\/3 + 7*p + 3. What is j*s(h) + 6*n(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + b - 1770. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7438131*m**2\/2 + 110076*m - 66.\nAnswer: -3*(69*m - 2)*(35933*m - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -126, -207, -308, -435, -594, -791?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 142 * 0.113863\nAnswer: 16.168546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:24 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by 2176\nAnswer: -53\/2176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -351457, -351462, -351469, -351478, -351489?\n\"Answer: -n**2 - 2*n - 351454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78841 and 7050638?\nAnswer: 11263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 + -1.87. Let v = l + -3. Let x = v + 4.5. Which is the closest to 0? (a) 1\/3 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*12\/(-10) + 3480\/582. Is m at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236384 divided by 166.\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixiiiicciiiqiqxiii. Give prob of picking 1 q, 1 x, and 2 c.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 377 and 0.7.\nAnswer: 263.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**4\/8 - 44882*n**2. Let o(y) = 4*y**2. Let t(f) = -7*f**2. Let j(h) = -10*o(h) - 4*t(h). Determine w(j(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936 and 108\/(-189)*50778\/(-13).\nAnswer: 29016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = 0. Solve u = -u - i - 1, 5*u + 4*i + 7 = y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 599\/40 (b) -2\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/13621 and -91\/66?\nAnswer: 898986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10111001001010111 (base 2) to base 7\nAnswer: -543256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773599773.\nAnswer: 11, 37, 4357739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-3 - -7))*(-17)\/(-17). Solve -10*q + 4*m = -i*q - 40, 2 = -2*q - 2*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 6. Let i = c - -8. Let n = -1 + i. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 787, 3128, 7027, 12484, 19499, 28072?\nAnswer: 38203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (54 - (-26 - -4 - (-42 - -25))).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f)*(17 + 20*f - 17)*(-1 + 0 + 0).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-2)*6\/(-9). Suppose -5*w + 21 + 39 = -5*r, -w - 3*r - 8 = 0. Suppose -30 = 10*f - w*f. Is o at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -1.18. Let v = -21791 + 152539\/7. What is the biggest value in q, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 284*u + 17 - 8 - 469*u + 23.\nAnswer: -185*u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**2 + 189*j - 2788. Determine w(17).\nAnswer: -2465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 23 = -5*m, -x - 20 = -5*m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-11))\/(1\/(-5)). Is (-22 - -23) + (-1 + -10)*j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**17)\/(t\/(((t\/t**(-9\/2))\/t)\/t)))\/(t\/(t**(1\/19)\/t)*t*t*(t*t**(-2\/23))\/t*t))**(-18) assuming t is positive.\nAnswer: t**(136557\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i = 65*i + 155 - 2. Which is smaller: i or 1\/32613?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 at most 295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**3 + 9*v**3 - 40*v**3 - 2*v**3 - 3*v**3 + v**3 + (4 + 0 - 2)*(v**3 + 0*v**2 + 0*v**2) in the form b*v**3 + w*v + u*v**2 + r and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 11*c**2 - 9*c + 1. Let m be h(10). Suppose m = -5*q - 4. Is q\/3*(4 - 187) 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 3683847544?\nAnswer: 2, 13, 1327, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 0.7. Let h = 14 + -18. Which is the closest to t? (a) 0.02 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**3*j**3 - 2*h**3*j**2*n - 2*h**3*n - 12*h**2*j**2*n + 2*h**2*j + 2*h*j**3*n + 3*h*j**3 wrt h?\nAnswer: 30*j**3 - 12*j**2*n - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, -0.1, -5, -0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -4.4 (c) -4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, 3199.6, 2, -3 in descending order.\nAnswer: 3199.6, 2, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - x - 8. Let s be d(-3). Suppose 0 = s*r + 19 + 125. Are -36 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/2 + ((-21)\/(-2))\/(-7). Suppose 0 = -2*y - 18 + h. Let b(g) = 2*g**2 + 3*g + 3. What are the prime factors of b(y)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -83*w + 8. Is r(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3226296 is divided by 10441.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffaffafaefe. Give prob of picking 2 f.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2792?\nAnswer: 13960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-1365) + 1\/(-6))*2.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 23 - 5. What is the third derivative of 81*x**2 + x - 67*x**l - 70*x**2 - x wrt x?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqaaqqa. Give prob of sequence qqqa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddtddttdtttttddddtd. What is prob of picking 2 t and 2 d?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 3*u. Suppose 6*i - 3*i = u. Which is smaller: i or 0.11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p. Let g(o) be the second derivative of 2*o**3\/3 - 13*o. What is v(g(t))?\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 291100721 a multiple of 2909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -200784 and -2007839\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 43*j**2 + 83*j - 125. Determine x(41).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/2 - 186*f**3 + 733*f**2\/2 + 1293*f + 740 = 0. Calculate f.\nAnswer: -1, 4, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38350 and 8929414.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -n - 1088. Suppose -5*d + 0*d = -3*y + 116, 4*y - 2*d - n = 0. Let p = 36 - y. Solve 1 = -p*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 93295549 and 47.99929.\nAnswer: 93295596.99929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3139 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*n**4 + 133379*n**3 + 2*n**2 - 226*n - 778 wrt n?\nAnswer: -1104*n + 800274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 - 0 - (-10 - -14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -928 - -556. Let i = -205 - y. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 277101?\nAnswer: 277101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1329 (b) 0 (c) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + -37 + 34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 151, 188, 231, 274, 311, 336?\n\"Answer: -u**3 + 9*u**2 + 17*u + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d454c + 5?\nAnswer: 4d4551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 281133865 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208869 is divided by 26863?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744645?\nAnswer: 3, 5, 11, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9173*y + 9173*y + 241*y**3.\nAnswer: 241*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - k - 49. Let f(l) = l**2 + l - 1. Let c(u) = -4*f(u) - t(u). Calculate the remainder when c(0) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 divided by -14?\nAnswer: -291\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12240 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((((sqrt(2835) - -2*sqrt(2835)) + sqrt(35) - sqrt(35)) + sqrt(35) + 1*sqrt(560))\/((sqrt(30) - (sqrt(30) - 1*sqrt(120)))\/sqrt(6)))**2).\nAnswer: -7156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -91156*q**2 + 15*q - 9. Let v be o(-12). Let n = v - -262426071\/20. Let s = -5351 - n. Find the common denominator of s and -91\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170689.\nAnswer: 3, 723563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -10, -4 in descending order.\nAnswer: 11, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2237 - -2247. Let x = -1 - 0. Let y = 28 + x. What is the remainder when y is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1601 - -4924. Does 45 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123446 + -3?\nAnswer: -123452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29892027*h**5 + 5*h - 318209?\nAnswer: 597840540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 i when three letters picked without replacement from {y: 3, f: 2, r: 1, i: 1, n: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/23, -0.225?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {y: 5, n: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -887 + 889. Solve 0 = i*c + 7 - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 3 (b) 0.5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 7*t + 7. Let q(y) be the second derivative of y**3\/2 - 3*y**2\/2 + 9*y. Let v(i) = 7*q(i) + 3*u(i). Let c(w) = -9*w. Give c(v(z)).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2001872 divided by -500468\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) 5 (c) 114\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 23*u**3 + 4*u**2. Let i(m) = m**2 + 1. Let t(f) = -g(f) + 4*i(f). Differentiate t(c) wrt c.\nAnswer: -69*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 115, 587, 1429, 2659, 4295, 6355, 8857?\n\"Answer: 3*o**3 + 167*o**2 - 50*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**3 + p**2 - 1\/24*p**4 + 0 + 0*p. Let s be a(-5). Which is greater: -1\/3 or s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*l*x**2 - 6*l*x - 58*l + 8866*x**2 + 276*x + 1 wrt x.\nAnswer: -394*l + 17732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -25*b - 72. Let t(u) = -13*u - 37. Let l(f) = -2*a(f) + 5*t(f). Let y be l(-15). Calculate the greatest common divisor of 23 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 0.3 (c) -1\/3 (d) 11 (e) -0.3 (f) 1751\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2)*(1 - 1). Let y(k) = -2*k + 49. Let q be y(26). Sort u, q, -5 in decreasing order.\nAnswer: u, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (21 + -12 + 11 + -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226032 by 2216.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98316 and 234866.\nAnswer: 4227588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 26) + (0 - -5) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280643 - 297503 = -281*s for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1087*k**5 + 452*k.\nAnswer: 21740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-357)\/7 - (-60 + 77).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*d + 2*d. Suppose -3*v + 3 = -d*v. What is the smallest value in -0.3, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + -2 - (26 + 50 - 45).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40152, -321334, -1084542, -2570790, -5021092, -8676462, -13777914, -20566462?\n\"Answer: -40169*t**3 + t**2 - 2*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 52*y + 15. What is k(-2)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -31\/8?\nAnswer: -31\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9107795, 9107793, 9107781, 9107753, 9107703, 9107625, 9107513?\nAnswer: 9107361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d**(-1\/5)*d)**(-28) assuming d is positive.\nAnswer: d**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -160, -155, -150, -145, -140?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + -2 + -5 + sqrt(847)*2) + 2.\nAnswer: -18 + 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o + 22. Let c be (19 - 1)\/(-3) - 3. Let m be n(c). What is the units digit of m\/2*(1 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/157, -1\/12, -0.7, 7 in descending order.\nAnswer: 7, -2\/157, -1\/12, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by -37.\nAnswer: 58\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 6*z + 8*z - 164, 4*h + z = 328. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -28171*k**2 + 309883*k - 22 = 0.\nAnswer: 2\/28171, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 75881*y\/3 + 6669784\/3.\nAnswer: (y + 88)*(y + 75793)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + k**3)*(-3 + 3 - 3).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 7*m - 7*m. Let u(n) = 9*n**3 + 2. Let b be (-6 - (10 - 5)) + 10. Give b*u(l) + 6*h(l).\nAnswer: -3*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 10. Suppose -3*g + 9 = -4*u - 0, 9 = 2*u + 3*g. Suppose 35 = -u*n - 5*n. Let b be t(n). Solve b*a + 2 = j, 2*j + 8 = -0*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31 + 30)\/((-319563)\/1278204 + (-2)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h + 16 = -2*g, 0 = -h - 5. Suppose 4*m - 4*i - 250 = 158, 0 = -g*m - 4*i + 222. Let d = m + -95. Solve -d = -4*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = b - 3*x, 10 = 5*b + 5*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 299 = 684. Let s be 1322\/6 - (-2)\/(-6). What is the greatest common divisor of o and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16 + 0.56. Let t = -2.6 + -0.4. Let p = -2.7 - t. Which is the smallest value? (a) -2\/13 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 190 = 18*y - 2*y. Solve 4*p + 1 = z, 106*p = -2*z + 111*p + y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -186 + 183 + 27 + 1 - 88?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652468759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + b + 3*b + (-5 - 3 - 1)*(4*b - b - b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 11*w**2 - 12*w + 9. What is z(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + m + 2. Let f be j(2). Suppose 5 = -3*i + 20. Suppose -45 = -i*z - 0*z. Solve -3*a = 5*v + 7, f = -a - 4*a + 2*v + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 + 20*m**2 + 12*m - 21. Let t(k) = -3*k**3 + 10*k**2 + 6*k - 11. Let r(w) = -4*g(w) + 7*t(w). Is r(-10) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 18 = -g, -4*g - 12 = -0*f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14088 < 154970\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61131 divided by 61131.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 23*h - 8. Let b be z(-14). Let u(k) = -244 + 244 + b*k. Let r(y) = -y**2. Calculate r(u(d)).\nAnswer: -13924*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.94 + 27.66. Let n = b + -32. Let y = -1.9 - n. What is the nearest to 0.1 in y, -2\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/((-117)\/18) - -4. Factor -16\/3 - 8\/3*f - 1\/3*f**j.\nAnswer: -(f + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122967 - 122967 + 26*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2410 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3520 = 15150378*y - 15150158*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1538589, -3077179, -4615769, -6154359, -7692949?\nAnswer: -9231539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24, 0, -0.06, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*h - 38208 = -275*h. What is the smallest common multiple of 153 and h?\nAnswer: 30447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8111435 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 697, 695, 693, 691, 689?\n\"Answer: -2*i + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 + 1\/200*s**6 + 1\/350*s**7 + 0*s**5 - 52*s**2 + 0*s**3 + 0*s**4 + 0*s. Suppose h(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74200 divided by 70\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**4 - 379*k**2 - 9*k - 174. Let f(g) = -2*g**4 - 189*g**2 - 4*g - 88. Let c(i) = -9*f(i) + 4*x(i). Differentiate c(n) wrt n.\nAnswer: 8*n**3 + 370*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f = 54. Let r = 40 - f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -390, -1170, -2596, -4860, -8154?\nAnswer: -12670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.66 - -258.34. Let h = q - 264. Let n = 0.1 - 0.5. Which is the nearest to 2\/7? (a) 2\/3 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -2a46984?\nAnswer: 2a46978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - aaa77ca?\nAnswer: -aaa77cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6561.586 millilitres to litres.\nAnswer: 6.561586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:43 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 - 6*y**2 - 6*y - 5. Let q(t) = -292*t**3 + t + 142*t**3 + 1 + 149*t**3 + t**2. Calculate -f(m) - 6*q(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 873 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-768)\/(-36)*(3 + 0). Let o = 133 - k. Let a = -14 + o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 226, 5369, 13884, 25771, 41030, 59661?\n\"Answer: 1686*u**2 + 85*u - 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -1 + 24 - 2 - 1. Suppose -441 = c*r - 9876. What are the prime factors of r?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 571 - 3*u - 2*u + 599.\nAnswer: -2*u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15213678 and 1878?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-7 + 3 - -8 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + l**3 - l**3 - 2*l**3 + 16 to the form q + v*l + y*l**2 + c*l**3 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*k**4 + 2*a*k**2 - 15*a*k + 7168*k**4 + 7*k - 8 wrt k?\nAnswer: 12*a*k**2 + 4*a + 86016*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 6)*(-1 + 2). Suppose -4*y - 4*g + 6*g = -10, -s*y + 5*g + 11 = 0. Suppose -1 = -y*c - 5*r, 2*r = -2*c + 10 + 6. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 1.2 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4443215*p**2*s - 2*p**2 + 80629449*s wrt p?\nAnswer: -8886430*p*s - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-12)*176\/(-1430)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 53*l**2\/3 + 248*l + 780.\nAnswer: -(l - 65)*(l + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*(y*y\/y**(1\/6))\/y*y**(-9)*y**(2\/9))\/(y**1\/y*y\/(y\/((y\/((y\/(y\/((y\/y**(-5))\/y)))\/y))\/y))*y**(-4)*y**(-2\/11)) assuming y is positive.\nAnswer: y**(-67\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -3. Let h = 26 + x. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 837 - 48. List the prime factors of l.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(16\/5)\/n*n*n**(-2\/51))**(-2\/37))**(-14\/9) assuming n is positive.\nAnswer: n**(22568\/84915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18177)\/(-292) + -62 - 1771\/28?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-16)*196\/7. Solve -q = 3*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/(-62)*(-1)\/(1\/(-14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*n - 186 = -99*n + 1794. Calculate the remainder when 136\/6 + 1\/3 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-8))\/5)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4 + (sqrt(847)*2 - sqrt(847)))**2 - sqrt(847)) + 2 - ((sqrt(847)*3 + 5 + sqrt(847))*4)**2) + 5)*4.\nAnswer: -865448 - 28556*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11608\/16 + 2\/4. What is the highest common factor of 176 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -64, -53, -38, -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3 + (-68)\/(-24)) - (-483)\/1386?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*g + 3*g - 40, -4*g + 24 = -2*x. Factor s - s**4 + 3*s**3 + 6*s**2 - s**2 - 4*s**2 - g*s**2.\nAnswer: -s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4515*o**2 - 2292*o**2 - 2263*o**2. Let x(z) = 6*z - 5*z - 7*z. Give t(x(j)).\nAnswer: -1440*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - v = 4, 5*w - v = -4*v + 16. Determine u so that -2\/5*u - 1\/5*u**w + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2885302380 rounded to the nearest 100000?\nAnswer: -2885300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 5*n - 2*l + 5*l, -4*n + 138 = 2*l. What is the remainder when 59 is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 16, 19, 22, 25?\n\"Answer: 3*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1 - 27) + (-8 - 24 - -2) + 19?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 4 - 14) + -11 + 9 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p + 167*p = 404 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + sqrt(5) - sqrt(5)) + sqrt(5))**2 + (1 + sqrt(320))**2.\nAnswer: 34*sqrt(5) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -45*f - 1. Let l be k(-1). Let r = l - 9. Let n = r - -1. What is the remainder when 143 is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2456890 is divided by 1228431?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -253 - -293 - (31 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4787, -4785, -4783, -4781?\n\"Answer: 2*h - 4789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/7 - (-3 + (-2)\/14). Suppose -6*l + 4*l - 2 = -2*t, t = h*l - 7. Let i(q) = -4*q + 23. Let c be i(t). Solve -c*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3 take away 14347?\nAnswer: -14368.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*h - p, 4*p - 2*p = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -15. Let h be (0 - -1) + 19\/u. Let a be 3\/2*(-28)\/21. What is the second smallest value in a, h, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:52 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 5, w: 2, z: 1}. Give prob of sequence wpc.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (72 - 55 - -53).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 3*c - 25 - 51 = 0, -3*c + 4 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131533 millennia in decades?\nAnswer: 13.1533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*t = 87, 2*h - 5*t - 38 - 12 = 0. Solve 0 = -5*r + 2*r + h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36641499 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677 (base 16) in base 13?\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5150.537 days in weeks?\nAnswer: 735.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y**3 + 2*y**2 - 4*y - 2. Let c(a) = 192*a**2 + 6*a + 6 + 20*a**3 - 198*a**2 + 5*a. Give -4*c(r) - 11*s(r).\nAnswer: -3*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*i**3 + 169*i**3 + 170*i**3 + 187*i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 10 + 26 = -5*p - 16, -3*p - 7*c - 91 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 4:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 7:52 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 23. What is a(-16)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 2, e: 1, g: 5}. Give prob of picking 1 q, 1 x, and 1 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-3 + 2)**2 - sqrt(405).\nAnswer: -117*sqrt(5) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 34 - 41. Suppose 4*d - 4 = -4*b, 3*d - 3*b + 3 = -0*d. Suppose 0 = 5*t - d*t + 10. Put 5, t, l in ascending order.\nAnswer: t, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h - 203. Calculate q(4).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256411286?\nAnswer: 2, 59, 2172977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 7*n**2 + 0*n**2 - 2*n + 5*n**2. Let u(b) = 2*b**2 + 7*b. Give -7*o(c) - 2*u(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 28 = 31*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -c - c - 22, -4*s + 3*c + 63 = 0. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 169 - 156. Let a = -53 - -18. Let v = r + a. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 + 25 = 4*y. Let o = 219 - y. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 96 = 4*x, -5180*z + 3*x = -5175*z + 37 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188\/429 + 10\/39. Let o(u) be the first derivative of u**3\/3 + 7*u**2\/2 + 5*u - 3. Let b be o(-6). Is b < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:53 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8170 is divided by 991?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15792, 31749, 47716, 63699, 79704, 95737, 111804?\nAnswer: 127911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 2*p - 3. Suppose 5*h = -o - 0*o - 2, 0 = h - 1. Let v = -9 - o. Let r be k(v). Which is smaller: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 7*m + 3*b - 12, m + 4*b = 16. Let h(o) = -o**2 - o + 2. Let t be (-4)\/(-6)*-3 - 0. Let i be h(t). Solve m*c - 4*c - 20 = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 - 4*m + 24 = 0. Calculate m.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -30.374545828?\nAnswer: 31.374545828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48083059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24387161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -56, -491, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 155 - 197 = 0. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(3\/(-9)). What is the closest to 0.1 in 0.4, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = b, -13 = -2*a + 5*b + 13. Let u(s) = -s - 5. Let y(z) = -z - 4. Give a*u(n) - 4*y(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 30 = -5*g, -4*l + 43 = 5*g for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3161 and 2289.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3290400)\/(-504))\/100 + (-6)\/21?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -o + 28, -x + 6*x + 48 = o. Let r = -16 + o. Suppose -21 = 6*g - r*g. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/28357 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(425) + sqrt(68)\/(sqrt(40)\/sqrt(10)))**2.\nAnswer: 36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6458*v + 813719. What is g(126)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 1\/20*h**5 + 4*h + 5\/2*h**2 + 0 - 7\/12*h**4 + 2\/3*h**3. Let q = -94 - -100. What is s(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135519.09 and 1.\nAnswer: 135519.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**3 + 0*n**2 + 0*n**2)*(11 + 8 - 15)*(-10896 + 21091 - 10516) as a + d*n**2 + x*n + i*n**3 and give i.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 18*m - 157. Give w(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.49 (b) -1.2 (c) -61\/2 (d) -0.4 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((26\/(-16))\/(-1))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 4 - 4)*(6*z - 8*z - 4*z) to the form o + b*z and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + 15.4. Let s = 12.82 - a. Let z = s - -0.179964. Round z to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13505 and 2960.\nAnswer: 216080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s + 22296 = 196*s - 94*s. Is s a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14701*n**2 + 14701*n**2 - 73430*n**2 + 14655*n**2 + 14696*n**2 + 14697*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*q - 24, -6*q - 5*i - 126 = -10*q. What is the lowest common multiple of 1110 and q?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*c - 23 = 0, -2*g - 2*c = 1 - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 49*p**2 + 93*p + 49. Let c be k(47). Solve -4*u = -4*h + 5*h + 13, -c*u = -3*h + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 816 and 378.\nAnswer: 51408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -632*a**4 - 8*a**2 + 335. Let s(u) = -631*u**4 - 7*u**2 + 336. Let j(v) = 7*n(v) - 8*s(v). Differentiate j(q) wrt q.\nAnswer: 2496*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:00 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w - 349 + 1690. What is the remainder when w is divided by 94?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 180, 287, 438, 639, 896, 1215?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:20 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57076742?\nAnswer: 2, 3623, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 103 - 209 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 9*c**2 - 9*c - 8. Let x be y(-8). Let r = 0 + x. Let a be 40\/(-42) + (-4)\/(-6). Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.044 rounded to 1 decimal place?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13830350 to the nearest one hundred thousand.\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-13)\/s*s\/((s*s**(1\/15)*s)\/s*s))\/(s\/(s**12\/s)*s*s**(2\/13)) assuming s is positive.\nAnswer: s**(-1018\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-8)*1228\/(-307).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*r = 154*r - 78*r + f - 5*f, f = 0. Solve -3*k + 8 = 62*x - 60*x, 4*k - 3*x - 5 = r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 13 = -17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 5*k**2 + 3*k - 4. Let x be 0 - 1*(-5 + 2). Let f(u) = 2*u**3 - 3*u**2 + 2*u - 2. What is x*d(j) - 5*f(j)?\nAnswer: 2*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 53. Let b = 93 + s. Suppose -b = -4*g - 0*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/12 + l**3\/2 + 3*l**2\/2 + 2*l + 8. Give o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.046.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*n**3*r*s**3 + 20*n**3*r*s**2 - 1824*n**2*r*s + 2*n**2*s**3 wrt n?\nAnswer: -216*r*s**3 + 120*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10127758339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -1520 + 4730. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 41225 and -1851205.1.\nAnswer: -1809980.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12502253 + -62?\nAnswer: 12502161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 128 - 18. Let b(q) = -q - 1. Let v be b(-1). Suppose v = l + 4 - d. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i - 11*i + 51677. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k**3 - 30*k**3 + 520*k**2 - 260*k**2 - 260*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925809849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -1074, -1945, -2808, -3657, -4486?\nAnswer: -5289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.447 - -0.047. Which is the nearest to -0.07? (a) 5 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 5) to base 3.\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1328\/15 - -89. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**4 - 2*i**3 - 1692*i**2 - 272111*i?\nAnswer: -84*i**2 - 12*i - 3384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/33 + (-40)\/(-22) + 5. Suppose 6015 = p*x - 3435. Calculate the greatest common divisor of x and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-28 - -24) + 5) - -48.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76) + sqrt(76)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 6*u - 50, -4*y = 5*u - 6*y - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391099185 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/130 and -23\/10657725?\nAnswer: 21315450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**2 - 5*a - 2*a - 2*a**6 + 7*a wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + h**2 + 18*h + 57. Let z be o(-4). Let a be z\/(-189) + 85\/69. Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjisjygijiissiysiii. What is prob of picking 1 g and 1 i?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 9*w**2 - 8*w + 3. Let j be f(-8). Suppose o + v = 6*o - 25, -3*v = -15. Solve -o*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**3 - 16*v**2 - 29*v. Let k(h) = 4*h**3 + 16*h**2 + 30*h. Let u = 4 + -4. Suppose u = -4*w - 35 + 23. Let m(d) = w*k(d) - 2*j(d). Factor m(o).\nAnswer: -2*o*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1144)\/(-12) + (224\/(-12))\/8 is divided by 21 - 15\/3*8\/20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 6819027*b.\nAnswer: b*(b - 6819027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 - 40*d**4 - 30*d**3 + 200*d**2 + 305*d + 120.\nAnswer: 5*(d - 8)*(d - 3)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from qwwwwwowoqqq?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(78)*3 + (2*sqrt(78)*-3 - sqrt(78)))\/(6*sqrt(18)\/sqrt(27)*-2).\nAnswer: 11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -267*v**3 - 7*v**2 - 20*v - 402. What is the second derivative of t(r) wrt r?\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {z: 3, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 79, -1\/3, 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.78 + 7. Let k = d + -0.12. Let s = 0.6 - 0.63. Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + (-77)\/(-4). Suppose -l - 3*l = 5*j + 1, -5*j + l = -i. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebcmettc. Give prob of picking 1 e and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9954, 19882, 29810, 39738, 49666?\n\"Answer: 9928*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-676)\/504 + 52\/(-104))*(-693)\/154.\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1466 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592*y + 229*y = 61694 - 6165 + 27614 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 52. Let p = w - -78\/5. Which is the second biggest value? (a) p (b) -1 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - -19) + 0 + -7 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m)\/m*m*m*m\/(m*m**(-2\/25)))\/((m*m*m**(-1\/4))\/m**(-4))*(m**1*m)**(-20)*(m\/(m*m**7))\/(m\/(m*m\/m**(1\/2)*m)) assuming m is positive.\nAnswer: m**(-5117\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16 (b) 3 (c) -0.08 (d) -2\/3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -63?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by -1\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*l**2*y*z - l**2*z**3 - 3*l*z**2 - 3*l - 6*y*z**3 - y*z**2 wrt l.\nAnswer: -484*y*z - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 91 (c) -7 (d) 421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20518369.72 from 3.13.\nAnswer: -20518366.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 3\/13 (c) -5 (d) 2\/35 (e) -1.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/652 and 67\/276.\nAnswer: 44988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (63 + 24 + 2*v - 62)*(-3*v + 5*v - 4*v)*(-v**2 - 68*v + 68*v + 3)*(-4 - 5 + 0) as a*v**4 + h + z*v + b*v**2 + f*v**3 and give z.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 417 - 839 = 0. What is the remainder when n is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -110.5030435595 and -0.8.\nAnswer: -111.3030435595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -4, 2\/31.\nAnswer: -4, 2\/31, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-195) + 2\/(-9))*3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. Let s(p) = p**3 + 5*p**2 + 3*p - 3. Let k be s(b). Let a = k + -3. Solve -3*h + a = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*-1)\/(9 + (1 - 11)). Solve 2*r + 3 = 4*h - y, -2*h = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -669.11 - 11.89. Let a = -678.23 - k. Let y = 3.1 - a. What is y rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r + 19*r + 8*r to the form n + j*r and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 21909114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let d be r\/(-3) - (-8)\/3. Suppose -w = w - 10. Solve h = w*z + 6, d*z + 4 = 4*z - 2*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8876 = -28*c + 7252. Solve 12*p + 648 - c = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25572\/29 + -21478711\/24360. Calculate the common denominator of z and -97\/924.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 77*n - 140. Determine j(4).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -553.42269 rounded to one dp?\nAnswer: -553.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 733, 0.5, 0, -4, 91.73, -5?\nAnswer: 91.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3653*q**3 + 1824*q**3 + 1823*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - b**2 + b. Let q(z) = -294*z**3 + 6*z**2 - 10*z - 9. Let n(l) = -3*h(l) - q(l). Let y be n(-7). Round y to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**3 - 13. Let k(f) = -f**3 - 2. Let q = -47 + 86. Calculate q*k(i) - 6*d(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Suppose -10 = -4*t + 6. Let f = 0.04 - -0.26. What is the biggest value in f, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = u - 3*u - 5*z, -3*u = 2*z - 21. Suppose j = -5, 4*j = -u*o + 2*o + 154. Let c(k) = 0 + 24*k + 32*k + 1 - o*k. What is c(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let j = 0.3 + f. Let x = 0.8 + -2.8. Put x, -0.4, j in descending order.\nAnswer: j, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2. Suppose -3*y - 1 = -16, x = -y + 10. Let v = x + 0. Let p(j) = -5 + 5 - v*j + 0. Give p(r(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 13*u - 5*u - 8*u. Let b(w) = 8*w. Calculate b(l(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w - 16. Let b be ((-36)\/(-16) + -3)*w. Solve b*m + 3 = -0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1320141322?\nAnswer: 1320141325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -5*f - 54. Let m = f - 34. What is the second derivative of a + 12*a**5 + m*a**2 - 15*a**2 - 30*a**5 wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, w: 3, s: 1, x: 1}. What is prob of picking 1 w, 1 s, and 1 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwkw when four letters picked without replacement from {o: 2, w: 5, k: 2, u: 3}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * 12613.\nAnswer: 428842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-471)\/9*(-336)\/2. Suppose 2*h + 35 = 9*h. Suppose 2*d - 3*k = -3*d + g, -h*d - 5*k = -8800. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 128. Is (2\/(-8))\/(u*1\/(-19288)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4\/5 (c) 0.1 (d) -3\/56 (e) -20 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -6. Let q = -0.7 + 0.4. What is the third smallest value in q, 2\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 46784.\nAnswer: 1\/23392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**2 - 362*m + 5. Let o(z) = -24*z**2 - 784*z + 12. Let u(t) = 13*d(t) - 6*o(t). Let s = -6 - -11. Give u(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31029 is divided by 676?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31311 or 31310?\nAnswer: 31311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 104132*p\/3 - 6672640\/3.\nAnswer: 2*(p - 64)*(p + 52130)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/((-2)\/6). Let c be (-3)\/(-12)*(79\/(-9) - -7). Which is bigger: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*y + 17*c - 19*c, y + c + 0 = -7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 1\/4, 2 in ascending order.\nAnswer: -6, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - 5 + 3*n**2 - 6 + 5 + 6*n. Let k(i) = -6*i**2 + 17*i - 17. Let w(a) = 17*g(a) - 6*k(a). Let x(b) = -b. Calculate w(x(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/3)*d)\/d**(1\/2)*d**(-5)\/d**(-4\/5))\/(d**(-6)*d\/(d**0\/d)*d**(-1\/9)*d**2\/d) assuming d is positive.\nAnswer: d**(67\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkj when three letters picked without replacement from {k: 2, j: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 1\/498, -2\/11, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-3 + -4 - (sqrt(605) + 0 + -4 - sqrt(605)))*6*-5.\nAnswer: 990*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose 3*x = -f*x + 30. Suppose -2*i + x*i = -4*l + 24, -l + i = 0. Solve -5*w = -l*y + 17, -9 = -3*w - 0*y - 3*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 6 + 0 + 13 - 7.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6658060724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 20*l - 15*l - 52331, -2*z = -4. Suppose -11*j - l = -24*j. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = -d, 5*f - 7*f = 8. Suppose 0 = -d*v - i + 502, v + 3*i - 21 = 141. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161986*f**2*j**3 + 68163643*f**2*j**2 - 145*f*j**3 + 2*j**2 wrt j?\nAnswer: -971916*f**2 - 870*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(67*o + 57*o + 0*o)*(-2*o - o**2 + 2*o).\nAnswer: -124*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 7*v**3\/3 - 4*v**2 + 366*v + 74. Differentiate j(p) wrt p.\nAnswer: 14*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmmm when four letters picked without replacement from {c: 2, m: 10}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53052.\nAnswer: 2, 3, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 100 + 41)*2\/8\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (440 - 457) + 0 + 8 + (1 - 38)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 1608548*n - 769576728.\nAnswer: -4*(n + 479)*(n + 401658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 34*b**2 + 26*b + 166. Give m(-13).\nAnswer: -3721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -699 + 232. Let o = c - -466.99999148. What is o rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14*o - 68. Let f be s(-5). Suppose -x - f*n = -68 - 5055, -5127 = -x - n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -10. Let b be 4*(-3)\/(-1)*2\/4. What is the third derivative of 15*g**2 - 4*g**b - 2*g**2 + 6*g**y + g**6 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + 4367*n**4 - 9*n + 4380*n**4 - 1 - 8746*n**4 in the form o*n**2 + h*n + a + f*n**4 + x*n**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3420 is divided by 202?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + -7 - (14 + (-20 + 13 - 111))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -546 + 591. Suppose -4*t + 26 = 126. What is the tens digit of (q\/t)\/((-6)\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 5 + 2*y - 4*y - 5. Suppose 0 = -l - 3*p - 15, -4*l + p = -2*p - 15. Give k(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c + 101*c = 60 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22039.5*-26.32.\nAnswer: 580079.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/6 - -5)*627\/(-76)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 - (-3 + 1 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 6*z - 4 + z**3 - z - 4*z**2. What is the remainder when a(5) is divided by (-56)\/(-3) - (-9)\/27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127306 + -88523. Suppose 2*y + l = 3*n, -4*n = 5*y - 4*y + 19419. Let m = y + 11099. Round m to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 447180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(0 + (-3)\/2). Let j(a) be the second derivative of -1\/2*a**2 + 0 + 1\/6*a**3 + 2*a - 1\/20*a**5 - 1\/3*a**4. What is j(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 = j - 7, 0 = 5*j + 2*t - 2. Suppose -3*u + 5*u = -2*o + 10, -j*o + 13 = 5*u. Suppose -7*x + 9 = -o*x. Solve c + x*c = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 245\/(-14)*(-4)\/(-5). Let m = 14 + x. Round m to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {o: 4, c: 2, j: 5}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-576)\/(-768))\/(3\/64). Solve -k*t - 30 = -62 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:51 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16652914 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163480*d**3 - 175905*d**2.\nAnswer: 980880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**2*h**3*k**3 - 65*b**2*k**3 - b**2 + 2*b*h**2*k**2 - 2*b*h**2 - 34*h**3*k**2 wrt k.\nAnswer: 24*b**2*h**3 - 390*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 505870365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c - 5. Suppose 18*q = 13*q - 35. Calculate y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45000 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898*b + c + 81802 = 900*b, 3*b - 122694 = -3*c. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*y + 127 = 0, 2*i - y + 209 = 259. Solve -i*b - 40 = -15*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4031 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*d = -7*d, 0 = -5*d + 15. Let r(p) = 5*p**2 - 5*p + 6. Let n be r(4). Suppose -w - n = -3*w. What is the highest common factor of w and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093121933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - -101110?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = -y, l + 2*y + 14 = -0. Let q = -10 - l. What is the remainder when 19 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -70, -75, -82, -91, -102, -115?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4556415 decades?\nAnswer: 0.04556415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**4*x)\/((x**(1\/3)\/x)\/x)*(x\/((x*x**(2\/3)\/x*x)\/x))**(9\/4) assuming x is positive.\nAnswer: x**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 58. Let j be b(26). Suppose 0 = -3*w + 14 - 5. Solve -2*y - j = -w*u - u, 0 = y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)*h**(3\/8))**(2\/27) assuming h is positive.\nAnswer: h**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - (-9 - -5)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 381 divided by -555\nAnswer: -127\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 8*y)*(8004*y - 4034*y + 26 - 4090*y) as q*y**2 + a + u*y and give q.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 32. Suppose 4*p - y = p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i - 4. Solve 2*l = -i - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 11*g**2 + 11*g + 8. Let u be x(-9). Suppose -5*y + t = -145, -4*y + 4*t + u = -45. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351927871 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.025, -1741, -4 in decreasing order.\nAnswer: -2.025, -4, -1741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (5 - (-80)\/(-15))*393. What is the greatest common divisor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3278 and 64823?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(190) + 5*-2*sqrt(190) + sqrt(190))\/(sqrt(135)\/sqrt(3)))\/(4*sqrt(4)\/(sqrt(16)\/(2*sqrt(8)))).\nAnswer: -sqrt(19)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/10)\/((-2)\/(-20)). Let c = 16 + -11. Suppose -c = -k*u + 51. What is the remainder when 41 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -285?\nAnswer: 32\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -146147.3009 to the nearest 100.\nAnswer: -146100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, j: 6}. Give prob of sequence jmjj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 11 = 5*j. What is the smallest common multiple of j and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-232)\/116)\/(((-3)\/(-9))\/((-2)\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 times -1?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c + 3?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 12) in base 4?\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + sqrt(84)*-1) - sqrt(84))*-1)\/(6*sqrt(108)))**2*6 + (3*sqrt(252))\/((2*sqrt(4) - sqrt(4))*-3).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1840 - 25?\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16599)\/(-121) + 4\/(-22). Let d(u) = -2*u**2 + 45*u - 25. Let o be d(18). Is o at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2757 + 2761. Let h(t) = t**2 + 11*t + 2. Let d be h(-11). Solve -16 = o*y, -4*b - d*y + 12 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.288 + 1.888. Suppose 5 = -6*t - 7. Put 0.4, f, t, 7 in decreasing order.\nAnswer: 7, 0.4, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -219 - 31*a - 202 + 32*a in the form s + q*a and give s.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 0*b + 2*b**2 - 7\/3*b**3 + 7. Find the second derivative of v(c) wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.1, -13821, -4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/44)\/((-148)\/814).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1942d (base 14) to base 10\nAnswer: 63937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4602001 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l + 28. Let s be i(10). Suppose -26 + s = 3*x. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let z be (5 + -84 + 3)\/(d - 0). Let b = z - -15. What is the remainder when b is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + n + 10 = -0*x, x + 3*n - 3 = 0. Let z(f) = -f + 3. Let y(q) = q - 3. Let b(l) = x*y(l) - 4*z(l). Give b(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 59 = 8*t - 101. Solve -8 = -t*c - z + 11, 5*z = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11435 - 5631. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*w + 1517614 + 279130 = -516815. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6450874395?\nAnswer: 3, 5, 7, 19, 3233521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*k + 2*x, 0 = -3*k - 2*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 4*r - 14*r. What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/30*((-84)\/18 + 6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7914.419 weeks in minutes?\nAnswer: 79777343.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 0.2 (c) 2350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8370)\/60)\/(-31)*(-20)\/(-12)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8 + 0 + 13 + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 195515, 195623, 195803, 196055, 196379, 196775?\n\"Answer: 36*b**2 + 195479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s\/s**(-3\/4))))*s*s*s**(-3\/10))**(-2\/135))**(-2\/25) assuming s is positive.\nAnswer: s**(19\/16875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**7*x)**(-14))**(2\/127))**20 assuming x is positive.\nAnswer: x**(2800\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14684825 rounded to three dps?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353*c**5*v + 24311*c**3*v + 2*c**2*v + 311*c**2 + 1196*c*v + c - 2*v wrt c?\nAnswer: 21180*c**2*v + 145866*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-93)\/(-30) - 4)\/((-12)\/(-10)). Which is the nearest to -2\/3? (a) 0.3 (b) -6\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110924.9 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/9, -7.2032, -46 in increasing order.\nAnswer: -46, -7.2032, -2\/5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*b**4 - 143*b**3 + 86*b**4 - 4*b**2 + 2 + 148*b**3 as m*b**3 + t*b + g*b**4 + o*b**2 + i and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = 2*m. Sort 5, m, -1.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -18003?\nAnswer: -59\/18003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-22) - (-1491)\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 103*y**2 - 200*y - 1061. Calculate f(-6).\nAnswer: 3847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 1207*k + 55644. What is r(48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (69 - 9))*8\/16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. What is the third biggest value in 0, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 2015 (b) -2\/5 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b5b10a3 - 0?\nAnswer: -b5b10a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, t: 1, a: 5, n: 2}. Give prob of sequence ngg.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87320767*k + 81450226 with respect to k.\nAnswer: 87320767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.351 to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52890*o = 52647*o + 5915 + 9394 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 202924447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 4850.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*4*4\/32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**7\/84 - 7*v**4\/24 - v**3\/6 - v**2. Let z(b) be the first derivative of g(b). What is the derivative of z(s) wrt s?\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 128*b + 9. Is d(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 0 = -15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + 2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*a + 242*a + 6870 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 56918?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r + 6. Let j be i(6). Suppose j = -4*w + 5*o + 49, -o = -5*o - 20. Solve -3*b + w = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -94 and -181753\/1956 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*r**2 + 11*r - 43*r - 381*r**2 + 2 + 763*r**2.\nAnswer: 20*r**2 - 32*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46671 = a + 2*a. Suppose -3*c = -2*c - 3957. Let l = c - a. What is l rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5 - 60*u**4 - 70*u**3 + 840*u**2 + 2475*u + 1620 = 0. Calculate u.\nAnswer: -9, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1382157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 2*m**3 - 11 + 3*m**4 - 416429*m - 5*m**2 + 416430*m to the form l*m**2 + w + s*m**3 + k*m**4 + a*m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26130)\/975*(-20)\/32*-4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -19*l**6\/120 + 7*l**5\/60 - 3*l**2. Find the third derivative of n(x) wrt x.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i + 4. Let c be -2 - -1 - 0 - -1. Let y = 25 - 22. Let j = y + c. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -206 + 73*l**3 + l**2 + 420 + l**4 - 212 as n*l**2 + w*l**4 + f*l**3 + a + m*l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*r - 197*r - 297*r - 309*r to the form x*r + m and give x.\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 14*s - 24 = 0. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {w: 5, t: 3, x: 1, s: 1, i: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 1 + 0*s**2 - 4\/3*s**3 + 0*s - 1\/12*s**4 + 1\/60*s**5. Let c(j) be the third derivative of p(j). What is c(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = 0. Solve h = -n*v - v - 1, 0 = 5*v - h + 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7861 + 431 - 18791 + 3726)*(-3*w - 5 + 5).\nAnswer: 67485*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1071, -1065, -1059, -1053, -1047?\n\"Answer: 6*d - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 5814*h**2 - 1496880*h - 94970232.\nAnswer: 2*(h - 8973)*(h + 126)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - 11*i**2 - 4*i - 9. Let x(h) = 4*h**3 - 10*h**2 - 4*h - 8. Let b(g) = 5*u(g) - 6*x(g). Let a = -8 + 5. List the prime factors of b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-351088\nAnswer: 6319584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(108)*-5 - -1*sqrt(108)*-5) + 4)*-3)**2.\nAnswer: -6480*sqrt(3) + 218844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1271*s**3 + 6*s + 9*s - 1325*s**3 + 2614*s**3 - 15*s.\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 449 + 0*r**2 + r**2.\nAnswer: -2*r**2 + 449","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 247137, 494274, 741411?\n\"Answer: 247137*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 (base 10) in base 9?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:50 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 249917476, 249917478, 249917480, 249917482, 249917484?\n\"Answer: 2*s + 249917474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2 + 16011284*q + 64045200 = 0.\nAnswer: -4, 4002825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8385 or 8386?\nAnswer: 8386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from vvzavvzzgvvlgzvlzl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1*22\/(-11))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 173483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 14*f + 9*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164 (base 12) to base 9.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 4*r**2 + 8*r - 6. Let a be (20\/(-12))\/((-50)\/180). Calculate b(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrtcddti. Give prob of sequence tr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0864 + 108.9864. Let v = h - 109. What is the nearest to 56 in 5, v, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.6 + -860361?\nAnswer: -860575.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4131 and 45917?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 101891300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50686350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-8)\/(-3))\/((-4)\/(-30)) and (0 - (-7)\/21*-12)*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49285 and -7.2.\nAnswer: -354852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -a9a?\nAnswer: -a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 4, k: 1, n: 1}. What is prob of picking 2 f and 1 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 11 + 20 + 13 + 1038*a.\nAnswer: 1038*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 minus -64614240?\nAnswer: 64614240.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/5 (c) -5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*z + 23. Let x(b) = 11*b**2 + 8*b - 8. Let g be -9*10\/(-12)*2. Suppose -40*s - g = -37*s. Let i(j) = 7*j**2 + 5*j - 5. Give s*x(l) + z*i(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1852197 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53693117 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -20. Let s = -7\/2 - q. What is the second smallest value in s, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + -2.91. Let i = -0.29 + u. Let o(v) = v - 6. Let r be o(4). Which is the biggest value? (a) r (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:44 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2401445021 + -13?\nAnswer: 2401445004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egeecge. Give prob of picking 1 g, 1 c, and 2 e.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30615 (base 12) to base 6.\nAnswer: -1204025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 795600?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f + 123. Let a be c(9). Suppose -6*x + 4 = -5*x. Suppose 0 = 4*v + 8*r - 12*r - 4, -4*r = -v - 5. Solve 2*b = x*b + 2*n, -a = v*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2 - (-12)\/5). Let m = 13\/2 - 41\/6. Put 0.1, m, a in increasing order.\nAnswer: m, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 49. Let h(q) be the second derivative of 1\/6*q**3 + 0*q**2 + 0 + 67*q. What is c(h(z))?\nAnswer: 2*z - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 3*f + 1. Let l = -5 - -2. Let g be i(l). Let j = g - -38. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19251 + -13596485.\nAnswer: -13615736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*z + 5*t - 21, 0 = z + 5*t - 48 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 6. Suppose 0*o + 42 = 2*o + 2*u, -5*u - 48 = -r*o. Let z = -12 + o. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 113 = -5*s, 0*s + m + 103 = 4*s. What is the highest common factor of s and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 2.1. Let s = 0.3 - -0.2. Let p = 4.5 - s. Which is the smallest value? (a) w (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/60*6)\/(-4))\/1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001006 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 26475, 5 in increasing order.\nAnswer: -254, 5, 26475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 6. Let d(r) = -15*r + 24. Let x(i) = -6*d(i) + 22*t(i). Let g be x(5). What is the common denominator of (g\/(-44))\/(6\/(-522)) and 11\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4332224, -8664447, -12996668, -17328887?\n\"Answer: u**2 - 4332226*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 22371295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/59 + 4800432\/(-300664)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12b86 + 15?\nAnswer: -12b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**3\/11 + 18*j**2\/11 - 24*j\/11.\nAnswer: 6*j*(j - 1)*(j + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**8*h))\/(h*h\/(h*h**(2\/13))*h)*((h*h\/(h**0*h))\/h)**(-2\/39))**(-17\/3) assuming h is positive.\nAnswer: h**(2839\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -7. Let f = -0.53 - -0.63. Let w = 51 + -50.2. Which is the closest to f? (a) w (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7283899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 485 (b) 2\/3 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/4)\/((p\/(p\/p**6))\/p*p)*(p**(-2\/7)\/p*p)**(-4\/3)*(p**0*p*p\/(p*p*p**2))**(1\/34) assuming p is positive.\nAnswer: p**(-7037\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 80, 166, 286?\n\"Answer: 17*g**2 + g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:46 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15015 divided by -91.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 4}. What is prob of picking 3 n and 1 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 15 + 25. Let p be (-5)\/(-2)*(-1)\/q. Sort 1, p, 1\/5 in increasing order.\nAnswer: p, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 2*a - 5. Let s = -5 + 8. Suppose 26 + 38 = 4*k. Suppose -3*g = -11*g - k. Let v(y) = -2*y**2 - y - 4. Give g*x(i) + s*v(i).\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-11))\/((-10)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, 62, 1, -11, -2\/3, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11813823 is divided by 2362761?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3814490 is divided by 25773?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:26 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/5))**41)**(1\/5))**(-28))**(-3\/11) assuming j is positive.\nAnswer: j**(6888\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -k - 4*x + 119, -4*x = 5*k - 562. Let q = -79 + k. What is the remainder when q is divided by (18\/15)\/(3\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l - 5*q = 85, 0 = -l - 3*q + 33. Suppose -10*n + 1614 = -16*n. Let o = n - -299. What is the lowest common multiple of o and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.2 + 13. What is the second biggest value in y, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 42*z**2 - 313*z + 139. Give x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 18 = r - 3*x, -2*r + x = -8. Suppose 0 = r*p - 4*y - 478, -p = -4*p - 2*y + 677. Suppose d - 2*q - p = 0, -5*d + 5*q + 1210 = 80. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -83*c. Let w be x(2). Find the common denominator of w\/12 + (-10 - -11) and -87\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2980.4*93\nAnswer: -277177.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -23 + (-651)\/(-84))\/(3\/((-60)\/(-65))).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80\/7*j + 800\/7 + 2\/7*j**2.\nAnswer: 2*(j + 20)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -4 + 6 + 149. Calculate the greatest common factor of u and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*u + 60 = 0, 5*k + 122 = 2*u + 47. Let h = k - -31. Let q be h*1*(-1)\/(-2). Calculate the greatest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*l + 20, -2 + 5 = -3*l - 3*t. Let f(u) = -5 - 4*u + 3*u + 2 - 6*u. What is the tens digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -13 + 19 + -12 + 4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1300, -3\/28, 3, 2\/123 in descending order.\nAnswer: 1300, 3, 2\/123, -3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*n**2 + 7*n**2 - 9 + 15*n**2 + (0*n**2 - n**2 + 7*n**2)*(0 + 6 + 0).\nAnswer: 32*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 - (-27 - -26)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 57. What is g(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - 133?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12275*h + 12274*h - 12 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32479 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.0192 + 68. Let t = 0.0192 + x. What is the nearest to -2 in -0.3, 0.3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011215337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(468))**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j + 28 = -74*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2554 - -15253\/6. What is the common denominator of d and -115\/474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 2. Let s(w) = 4*w + 24. Let n = 65 - 71. Let v(p) = n*c(p) - 2*s(p). Determine v(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/12 + 10*j**3\/3 + 13*j**2\/2 + 7*j. What is b(-17)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47.02 * -197\nAnswer: 9262.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162.8 - 163. Which is smaller: s or 17\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 10 - (5 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 + -145. Suppose c + 0*c - 463 = -4*h, c - 460 = -u*h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 20642?\nAnswer: -20640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100111001122 - -1110?\nAnswer: 100111002232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -946*f. Let d(x) = -136*x**2. Calculate c(d(q)).\nAnswer: 128656*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + 11*n - 6. Let o be 1*(-4*4 + 5). Let v(i) = i**3 + 4*i - 2. What is o*v(x) + 4*c(x)?\nAnswer: x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839073558.796 less than 15?\nAnswer: -2839073543.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -15, -5*c - 5*w + 91 = -84. Suppose -c = -3*z + 3*d, -4*z + 3*d = -18 - 18. What is the remainder when z is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.1, 8031\/62, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 330 - 146. Suppose 6*g - z = 134. What is the remainder when g is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11712 divide 2062752576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-11\/5)\/(x*x**(-1\/26)*x))\/(x**(1\/15)*x*x**(2\/3)))**(5\/11) assuming x is positive.\nAnswer: x**(-209\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - (-13 - -13)) + 84 + 44?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 720\/1152 + (-25843)\/(-8). Calculate the greatest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -53, -5, 101.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:50 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)*b*b\/b**1*b**(-5))**48)**3 assuming b is positive.\nAnswer: b**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157957816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -130032*u + 1290. Let y(f) = 1806*f - 18. Give 6*x(b) + 430*y(b).\nAnswer: -3612*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10549148 + 10549148 - 4249*u)*(2*u - 7*u + 3*u) as w*u + p + h*u**2 and give h.\nAnswer: 8498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = -2*o, 4*s + 26 = 3*s + 4*o. Suppose -x + 1 = 2. Put s, 3, x in descending order.\nAnswer: 3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-13))**(-46) assuming a is positive.\nAnswer: a**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(-37*x**2 - 26*x**2 + 2*x**2 + (0 - 2*x + 0)*(-2*x + 2 - 2)) to n*x + r + h*x**2 and give h.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37170, -74313, -111468, -148641, -185838, -223065?\nAnswer: -260328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3 - 122414\/6941?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14\/15, -0.073, 2\/3, -1\/5, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - g - 131 = 0, 2*t + 0*g - 2*g = -90. Let s = t - -80. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150073406?\nAnswer: 2, 3, 63892967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/258?\nAnswer: -5\/258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l - 57*l = 117. What is the remainder when 24 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42422 + -2?\nAnswer: -42424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1538, 1615, 1696, 1781, 1870, 1963, 2060?\n\"Answer: 2*l**2 + 71*l + 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86730)\/2360)\/(42\/(-56)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-626)\/14 + (-28)\/98. Let v = 25 + q. Is (-32)\/(-10) - (-4)\/v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 0 - 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*w = -468*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18678651 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149 + 50*r**2 + 85 + 94 wrt r.\nAnswer: 100*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181427\/9 + -20139. Which is bigger: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 235 and -34.65789.\nAnswer: 200.34211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*s + 749 = -s, 3*g - 3*s = 2259. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 461112 - 0?\nAnswer: 461112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**2 + 316*o - 107. Give v(27).\nAnswer: 1864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - t + 5. Let z(y) = 21*y**2 + 10*y - 50. Let n(d) = -10*o(d) - z(d). Let q(m) = -359*m. What is q(n(h))?\nAnswer: 359*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 4*f**2 + 2*f**3 + (-5*f + f - 2*f)*(-3 + 3 + f**2).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*c + 80*c + 124*c.\nAnswer: -122*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -566910*c**2*x**2 + c**2*x - 8*c**2 - 107*c*x**2 - 11*c + 37*x**2 wrt c.\nAnswer: -1133820*x**2 + 2*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 3, l: 1, t: 1}. Give prob of sequence rlll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1.15?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -263, -381, -447, -443?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 11*q**2 + 19*q + 10. Let h be w(-9). Let v = 129 + -906\/7. Which is the second smallest value? (a) -5 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3311698875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + a + 12 = -4*t, -2*t + 4*a = 8. Let p = 3.95 + 0.05. Let r = -96 + 97. What is the nearest to r in p, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121909, -121548, -121199, -120868, -120561, -120284, -120043, -119844?\nAnswer: -119693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1919015 rounded to 4 decimal places?\nAnswer: -0.1919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 + 2*k**2 + 612*k + 118. Does 53 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -949841 (base 13) in base 9?\nAnswer: -6478558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*o - 3368 = 10485 + 33937 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, k: 9, p: 3}. What is prob of sequence pkap?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dduy when four letters picked without replacement from dducfyfycdcdddsfscdf?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7626 - -2?\nAnswer: -7624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2053 = 2049. Solve 4*m - 2*i = -12, -13*m + 18*m + b*i = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 304*v + 4 = 306*v, -v - 10 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = 5*p + 120. Let j(n) = -4*n**2 + 11*n + 1. Let v(i) = -2*i**2 + 5*i. Determine p*v(k) + 2*j(k).\nAnswer: 2*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 + 80 + 6*a - a**3)*(a - 2*a - a - 1) to r*a**2 + m*a + g + q*a**4 + u*a**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(19) + -2)*5)**2 + sqrt(19) - 2*sqrt(171))*-3.\nAnswer: -1726 + 315*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4212 divided by 4.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-two fifths of a micrometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 345, 692, 1039, 1386, 1733, 2080?\n\"Answer: 347*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-four fifths of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 167. Let c = u - 44. Put c, 6, -3 in increasing order.\nAnswer: c, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*a + 96*a + 33*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4895 is divided by ((-730)\/657)\/((-4)\/2934)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.31 + -0.19. Let d = n + 3.56. Let j = 0.76 - d. What is j rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-122)\/(-10) + (5616\/130)\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 391 by -58.\nAnswer: -391\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 10 + 14. Suppose v = -4*p + 18. Solve p*n + 3*t - 8 = -2*t, 4*n + t = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/198 - (-4201792)\/(-525888).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*g**3 + 3*g**2 + 5*g + 23 wrt g.\nAnswer: -996*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001314495803 to seven dps.\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*q**2 + 5*q - 301 wrt q?\nAnswer: -94*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 2*z**2 - 2*z + 69. Let r(s) = -2*s**3 - 5*s**2 + 4*s - 127. Let n(g) = -11*a(g) - 6*r(g). What is n(-9)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194724819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*g - 605. Let y = g - 289. What are the prime factors of y?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 10*v**2 - 12*v - 19. Determine u(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -517, -1152, -2041?\nAnswer: -3184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3\/5, 0.2, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:42 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeo. What is prob of picking 2 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211126, 0.4, -0.5, 5 in ascending order.\nAnswer: -211126, -0.5, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.5, 0.1, -3, -12676, -5.\nAnswer: -12676, -5, -3, 0.1, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {j: 1, f: 1, d: 5, l: 1, n: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 + 2 = 0. Suppose 0 = -l*c - 371 + 2317. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -587 + 1221 - 512 - 4*l as g + d*l and give g.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from jmmijam.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:24 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 65*f**2 + 63*f**2 + 77*f**2 - 203*f**2. Let p(b) = -4709*b. Determine p(w(r)).\nAnswer: -9418*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 22. Let m be v(8). Calculate the highest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 3. Let r(x) = x**3 + 14*x**2 - 10*x - 17. Let j be r(-15). What is the remainder when m + j\/(2 + -4) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2331, 2328, 2325?\n\"Answer: -3*p + 2334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -851.\nAnswer: -8.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 + 90 = -85*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*p**3 + 2*p + 10*p**2 - 10*p**2 + 3*p**2 to the form i*p**3 + q*p**2 + k + j*p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(243)*-1)**2 + 5.\nAnswer: -90*sqrt(3) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 159 - 169 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5800 and 60175?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/3, -410, -1, -4\/7, 4?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2646*f**4 - 135073428*f**3 - 5171469504818*f**2\/3 - 273620172720*f - 10857909600 = 0. Calculate f.\nAnswer: -25524, -5\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/14 (b) 31 (c) 0.01 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i**4 + 2*i)*(-129 - 63 + 327 - 2*i).\nAnswer: -6*i**5 + 405*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8401245703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bf3 (base 16) in base 12?\nAnswer: 6617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - u**3 - 2*u + 474*u**2 + 5*u**3 - 474*u**2.\nAnswer: 4*u**3 - 2*u + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 4*i - 3*i + (4 + 1 - 1)*(22 + 81 - 12*i - 50).\nAnswer: -47*i + 212","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0546 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 17*v - 56 = 0, -92*y + 88*y + 5*v + 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161961691, 161961693, 161961695, 161961697, 161961699?\nAnswer: 161961701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110111011000000010 + 11?\nAnswer: -101000110111010111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51292 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*a**2 + 14*a**4 + 4 - 6*a**4 - 12*a**4 + 143*a**2 + 51*a**2 to r*a**4 + i*a + j*a**2 + o + m*a**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/7, -3, 5, 0.2 in decreasing order.\nAnswer: 5, 1\/3, 0.2, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-5)*(-75)\/(-6). Let m = b + -21. Round m to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 5, -20, 0, 9.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + -108. Let b be (-148)\/28 - -2 - 4\/q. Let l(h) = 3*h**2 + h - 9. Let n be l(b). Calculate the highest common factor of n and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-245)\/(-3) - (12\/(-9) - -1)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 2*h - 19*h - 7*h - 2*h + 12 + 35*h.\nAnswer: -2*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2 - 354*h - 812.\nAnswer: -2*h - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(288) + -2*sqrt(288)))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99981090809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y**2 - 2*y - 3. Let v be u(3). Suppose -5*g + 4*o = -v, 2*g - 57 = 2*o + 3*o. What are the prime factors of 6\/g - 383\/(-7)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 + 7 - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 25 - 10*p**2 + 4*p**2 + 49*p + 2*p**2. What is the tens digit of z(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*v + 2422 + 1184, -4*h + 14412 = -2*v. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 0.1, 0, 2\/9, -4\/3 in decreasing order.\nAnswer: 34, 2\/9, 0.1, 0, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jon when three letters picked without replacement from {n: 3, o: 13, j: 4}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -1. Suppose 9*v - f = 4*v. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9130770 divided by -1826154\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13606 - -13600. Let l(o) be the first derivative of o**2 + 13*o + 2. Calculate l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/63))**(-33)*(r\/r**23*r)**(-2\/51))**19 assuming r is positive.\nAnswer: r**(12692\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 8*n + 4. Let l(p) = -p - 1. Let s = -2 - -3. Let q(x) = -3*x**2 - 4*x - 4. What is n*l(k) + s*q(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*g - 129 = 0, -n - 37 = -g - 0. Let s = n + 73. Is 19 a factor of (-4)\/(-22) + 1611\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -27.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4721, 4725, 4731, 4739?\nAnswer: 4749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1673 + 877 = 10*s. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 243287 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*p - 3*p - 18*p**2 - 6*p**4 + 18*p**2 wrt p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(50)\/(sqrt(5)*-2)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.66 or 4?\nAnswer: -11.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -14900945 bigger than -14900982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*r**3 + 3*r**2 - 469*r + 2 wrt r?\nAnswer: -96*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-144)\/68 + 2). Let c be 731\/q - (-2)\/(-6). What is the greatest common divisor of 42 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 57\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -8\/63342141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*b - 1186*b + 39518 - 1936 = 892*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 18.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 0 + 0 + (x + 2*x + 0*x)*(-x - 3*x + 3*x)*(3 - 7 + 1).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13 = 95. Calculate the remainder when d is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (41 - (1 + -5)). Let g be 0 - 0 - (-1 - 1). Suppose -f = 4, g*f + z = 3*a - 0*f. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 473 = o - 118, -2 = -o. Let m = 121 - i. Let s be (-29 + 30)\/((-1)\/m). Which is the second smallest value? (a) 0 (b) 5 (c) -0.7 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 + 2*n - 6. Let h be p(4). Solve -6 = h*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/49024 and 81\/4.\nAnswer: 49024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 22*u. Let o be y(-11). Suppose o = 4*g - 331 - 89. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*k + 175 = 0, -5*o = 2*k - 3*k - 245. Factor -19*d**4 - o*d**2 + 2*d**5 + 38*d**3 + 4 - 12 + 32*d + 5*d**4.\nAnswer: 2*(d - 2)**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/207*(16 + -15)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, -1, 2\/6737?\nAnswer: 2\/6737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 402 + -407. What is the closest to -1 in g, -3\/13, 0.4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789454954?\nAnswer: 2, 109, 3621353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1867234788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-7))\/((-2)\/(-14)). Suppose -2*u + t = 4*v, 0*v + 13 = -2*v + 5*u. Let o(q) = 5*q - v + 4 - 3. Let m(h) = -h**2. Determine m(o(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239474621.\nAnswer: 139, 1722839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**3\/3 + 13. Let r(d) = -d + 1. Let z(l) = -9*l**2 - 4*l + 4. Let q(a) = 4*r(a) - z(a). Calculate x(q(g)).\nAnswer: -162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 4.2. Let w = s - 0. Let a = 5 + w. What is the closest to a in 0.4, 0.1, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 1956196?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 80. Let n(g) = g - 3. Determine 3*n(z) + r(z).\nAnswer: z + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29663 - -28548. Is -1116 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 4, y: 4, k: 2}. Give prob of sequence kdd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*v**3 - 443882937*v**2 + 443882937*v**2.\nAnswer: -85*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 2573461?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79435911761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1445059301\nAnswer: -1445059303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*u - 2 = 0, -3 = 3*g + 10*u - 12*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89.7 and 0.055?\nAnswer: -4.9335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 333968 at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 6. Let r = -8.7 + m. Let g = -3.3 + r. Which is the third smallest value? (a) g (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2587, -1\/8, 92, -3.\nAnswer: -3, -1\/8, 92, 2587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - v - 8. Let s be k(-2). Suppose -s*o = 8*o - 2184. Calculate the lowest common multiple of 20 and o.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 0 + 0.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/6 + 5*x**2\/2 + 6022*x. Let p(c) be the second derivative of 5*c**3\/6 + 2*c. Determine b(p(h)).\nAnswer: 50*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34649 divided by 18.\nAnswer: 34649\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23108 or -23109?\nAnswer: -23108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 6\/71 (c) 35.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + n**2 - 4*n. Let d be k(0). Solve g - 3 + 2 = d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)\/q**(-2\/11))\/(q**(1\/4)\/(q\/(q\/((q\/q**(-6))\/q))))*((q*q**0)\/q*q)**49*(q\/q**5)\/q**(-2\/15) assuming q is positive.\nAnswer: q**(34033\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31352542 + 43?\nAnswer: -31352455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*72597.\nAnswer: 3121671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1288950\/7 - -184136. Let w = -3 + 2.5. Put b, 2\/5, 3\/2, w in decreasing order.\nAnswer: 3\/2, 2\/5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, 37\/3732?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49259669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(((-1)\/((-4)\/(-8)))\/(-3)). What is the closest to 1 in a, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00096766 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -156035 > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and 379.\nAnswer: -20466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -19*n + 2. Let t be v(3). Let f = -907 - -861. Let d = f - t. What is the highest common divisor of d and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 + 1026*j**2 + 188*j - 3498. Determine n(-205).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 267664*a**2 + 252*a - 71?\nAnswer: 535328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 6)*(-11)\/(-2). Let p(z) = z**2 + 26*z + 30. Let x be p(-25). Suppose 0 = -47*k + 48*k - x. Calculate the highest common factor of r and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i**2. Let u(x) be the third derivative of -x**4\/12 - 3*x**3 + x**2 + 203. Determine u(f(s)).\nAnswer: -40*s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdrbhbhdhoordrbdhb. What is prob of picking 3 b and 1 r?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (57 + -1) - (71 + -33)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210263 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) + sqrt(128)\/(sqrt(8) + sqrt(8) + sqrt(32) + sqrt(8)) - sqrt(16))\/(sqrt(4)\/(sqrt(2)*-1)))\/(-4*sqrt(784)*3))**2.\nAnswer: 1\/352800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 47*u + 103. Let m be t(-45). Solve -21*h - 8 = -m*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = 13. Suppose -n*d = -3 - 7. Solve -h - 15 = d*j + 4*h, -4*j = -5*h - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (1 + -1 - (-50 - -49)). Solve y - k = -6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*j - 18*j. Suppose j = 3*x + 3, 5*a + 7*x = 2*x - 85. Is a less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96038.16kg in grams?\nAnswer: 96038160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/408 and -105\/808901888?\nAnswer: 2426705664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 n when four letters picked without replacement from nwnnnwwn?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 109 = 64*h + 733 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j + 55 - 8 - 47 + 26*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 + 49*x - 49*x + 2)*(-10 + 10 + 4*x) to h*x + i + o*x**2 + a*x**3 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 1 - 0. Suppose 0 = n + n - 6. List the prime factors of -14*b\/6*n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*j - 2*w + 18, -j - 4*w + 15 = 0. Let n(b) = -14*b - 9. Let d(r) = 6 - 1 - 5*r - 33 + 25. Calculate j*n(l) - 8*d(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/1)\/(-10 - ((-462)\/(-6))\/(-7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Let z(o) = r*o + 0 + 3 - 5*o + 5*o. List the prime factors of z(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - (-1*(0 + sqrt(847)) - sqrt(847)).\nAnswer: 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2924 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58259, -465698, -1571615, -3725252, -7275851, -12572654?\nAnswer: -19964903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 7. Give n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 274 - 3?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-38)*h\/h**(-10))\/(h**(7\/5)*h**(4\/7)))**(4\/29) assuming h is positive.\nAnswer: h**(-4056\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(684) - (0 + sqrt(684))))**2 + (sqrt(475) - (sqrt(475) + sqrt(475)*-2 + 4))**2.\nAnswer: -80*sqrt(19) + 1932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/5? (a) -2 (b) 1636.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) -1 (c) -37 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jptdt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.497801 litres?\nAnswer: 3497.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68543 + -49488037\/722. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20148270 - -26101730. Round q to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - a**2 + 4*a**4 - 29*a**3 + 29*a**3 + 2*a**2 to d*a**2 + t + j*a**4 + p*a**3 + b*a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 475169437 rounded to the nearest one million?\nAnswer: 475000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5*s - 4241067*a**4*s + 32*a*s + 7203*a - s + 1 wrt a.\nAnswer: -20*a**3*s - 50892804*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d + 7. Let l be s(0). Let y be (1\/l)\/(3\/6). What is v in 0 + 2\/7*v**4 - y*v**2 + 0*v - 2\/7*v**3 + 2\/7*v**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5068318?\nAnswer: 2, 887, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r**2 - 2*r + 140. Let w be b(0). What is the second derivative of 54*q**2 + w*q + 132*q - 1 - 293*q wrt q?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -126367007, -126367001, -126366995?\n\"Answer: 6*z - 126367013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 4*c**4 + 0*c**4 + (-9*c**3 + c**3 + c**3)*(-3*c + c + 0*c).\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -30*g - 0 + 2. Solve -5*l = g*c + 39, 5*l + 24*c = 19*c - 30 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Suppose 2*a - 150 = -l*y, y - 6*y + 5*a = -225. Suppose 2*u - 20*z + 25*z = 10, 2*z + 8 = 0. What is the remainder when y is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/((sqrt(88) - (sqrt(88)*-3 - sqrt(88)))\/sqrt(8)) - -6*(3*sqrt(24))\/sqrt(8))**2.\nAnswer: 24843\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -11*p**5\/60 + 45*p**4 - 98*p**3\/3 - 267*p**2 - 3*p - 3. Suppose g(i) = 0. What is i?\nAnswer: 2\/11, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 1\/4, -64\/5, -1, 0.11, 1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*w - 107. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 4*sqrt(102)*-6 - sqrt(102)) + 4*(sqrt(102) + sqrt(102)*1))\/(sqrt(294)*6 - sqrt(6)*-3*-5).\nAnswer: 32*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 2320113?\nAnswer: 2320123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -42, -100, -190, -318, -490, -712, -990?\n\"Answer: -p**3 - 7*p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40796 = d - 40824 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n - 25*n - 38*n**2 + 2 + 3*n.\nAnswer: -38*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6081588 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2)*(1 - 1 - 6*k) - 4*k - 11*k - 7*k + 4*k - 6*k + 8*k + 3*k - 2 + 2 to the form o + b*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.61? (a) -0.2 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.390905\nAnswer: -0.1954525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 6*l**2 + 7*l**2. Let q(k) = -k**2. Give q(g(u)).\nAnswer: -289*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 7*t**4\/2 - t + 3. What is the derivative of z(w) wrt w?\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y. Let d(w) = w - 1. Determine -3*d(z) - k(z).\nAnswer: -7*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6015, 2392, -7429, -26544, -58049?\nAnswer: -105040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(2\/13))*d**7)**(-1\/3) assuming d is positive.\nAnswer: d**(-31\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 351*l**2 - 2. Let d be p(2). Let t = -69 - -72. Suppose d = t*h - h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 28. Let i = 0.17 + 23.83. Let f = b - i. Put 1, f, 1.3 in decreasing order.\nAnswer: 1.3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let g be s + 4\/(-3) + (-20)\/(-15). Let d(i) = -4*i**2 + 16*i**2 - 7*i**2 + 2*i**g. Let w(a) = 2*a. Determine d(w(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 12:31 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -63. Let d = w - 0. Are 0.2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 14*s + 6. Let v be 18\/(-15)*30\/(-9). Suppose l = -v - 1. Let q(j) = -7*j - 3. Let g(h) = l*q(h) - 2*b(h). Calculate g(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 13*g. Let i be (0 - 3)*1132\/849. Let a(s) = 12*s**2 - 38*s. Calculate i*a(y) - 11*f(y).\nAnswer: -4*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(147) + sqrt(147) + sqrt(147) - (sqrt(147) + 2 + sqrt(147) + 0))**2.\nAnswer: -98*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a**2*h*r - 2*a**2*h + 2*a**2*r + 6*a**2 - 2*a*h + 13216*h*r wrt a.\nAnswer: 30*h*r - 4*h + 4*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23122.\nAnswer: 2, 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -52*u**3 + 5*u**2 - 18*u + 20. Give g(2).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26135 and 29125.\nAnswer: 152236375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15489868 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2272 = 922*p + 445 - 8315 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/(39*48\/60372).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85585?\nAnswer: 5, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2288 and 19\/1040.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(539)*-5 + sqrt(539))**2 - sqrt(539)) + (-2 + sqrt(539))**2 + 0.\nAnswer: -35*sqrt(11) + 65762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 141 = -117 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 4, r + 2*a = -4. Solve 4*q = g + 3, r = 3*q - g - 4*g + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**7\/105 + w**6\/30 - w**5\/30 + 99*w**2\/2 - 115*w. Let h(o) be the first derivative of k(o). Find y such that h(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t**3 + 697*t**2 - 1369*t - 11. Calculate x(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004904 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 22920 = -42*r. Solve -r*v = -389*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Suppose 0*g = -y*i - 3*g + 751, -5*i = -4*g - 931. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -1\/3*r**3 - 65 - 33*r**2 + 0*r. Let m(b) = -2*b. Determine m(a(v)).\nAnswer: 2*v**2 + 132*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -28*m + 5. Let v(k) = -233*k + 42. Let o(j) = -228*j + 41. Let p(n) = 4*o(n) - 5*v(n). Give -46*i(s) - 5*p(s).\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s - 55*s = -12. Suppose 150 = -5*n + 10*n. Suppose -v = -i, 5*i - n - 20 = -5*v. What is the least common multiple of i and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488) - (sqrt(7488)*-3 + sqrt(7488)))\/(sqrt(256)*-4).\nAnswer: -9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 - 31*q**3 - 16*q**2 - 37*q - 2 wrt q?\nAnswer: -480*q**3 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.525 and 1194.67.\nAnswer: 1821.87175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 2*p + 12. Let m(v) = 1569*v**3 + 1642*v**2 - 6*v - 36. Let w(f) = 3*l(f) + m(f). Find the third derivative of w(k) wrt k.\nAnswer: 9414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70312)\/2585 - (-88)\/(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801889 is divided by 364.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1899, 3733, 5565, 7395, 9223?\nAnswer: 11049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/3, 2\/159 in increasing order.\nAnswer: -2\/3, 0, 2\/159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2762462, 1.\nAnswer: -5, 1, 2762462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from tpuputpttuq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r - 16*r + 9*r + (-3 + 3 + 1)*(-3*r + 5*r - 4*r) - 8*r - 2*r + 3*r + 2*r + 2*r - 3*r + 1.\nAnswer: -29*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**8\/5040 + u**7\/840 - 33*u**3\/2 - 42*u**2. Let a(w) be the first derivative of s(w). Factor a(b).\nAnswer: -b**3*(b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12815759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3 + 3*v**3 + 189*v - 194*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6418950.\nAnswer: 2, 3, 5, 42793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -8\/5, -5, -4 in descending order.\nAnswer: -1\/4, -8\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1188 and 101\/7128.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 34*l + 85. Let f(w) = w + 6. Let t be f(0). Let d = -3 + t. What is the smallest common multiple of y(-2) and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15011.\nAnswer: 17, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:57 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/4 equal to -5319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + y + 479, 4*y + 29 = 2*d - 927. Let z = d + -270. Let c = -121 + z. What is c rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g**4\/5 - 4744*g**3\/5 - 12614*g**2\/5 - 4724*g\/5 + 3152\/5 = 0. What is g?\nAnswer: -788, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w. Let k(g) = 2*g - 21. Let b be k(11). Let l be h(b). Suppose o = -l*o. Solve -6*y + y - 4*j - 6 = o, y + 4*j + 14 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -51, -0.1 in decreasing order.\nAnswer: -0.1, -6\/11, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6459 - -9174. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 9*d**2 + 10*d + 22. What is m(-9)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16 - (0 + -1 + -2). Is 2\/g - 1798\/(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 77. List the prime factors of (768 - (2 + a)) + 4 + -5.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 0 (b) -4 (c) 2.8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033 * -0.3367.\nAnswer: 0.0111111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -403 - -719. Suppose 4*k - x = -96. Let j = k - 52. Solve -2*a = j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7171\/6 + -1206. Let s = 1\/26562 + -390315413\/2762448. Let n = -1914\/13 - s. Find the common denominator of n and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111000101 - -111?\nAnswer: 1110111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -8 + -1 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - l - 3. What is a(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 232.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 72398680?\nAnswer: 651588120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 2*a**2 + a - 2. Let v be l(-2). Let t(z) = -z**3 - 4*z**2 - 4*z - 3. Let c be t(-3). Let s = c - v. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1028*a*o**5 + 2*a*o**2 + 6*a - 4*o**6 - 497*o**2 + 1 wrt o.\nAnswer: 61680*a*o**2 - 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1784, -1613, -1304, -845, -224, 571, 1552, 2731?\n\"Answer: 2*s**3 + 57*s**2 - 14*s - 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1))**44*x\/x**(-1\/5)*x**(-1\/5)*x*(x**(-5)\/(x**(-1)\/x))**(-2\/13) assuming x is positive.\nAnswer: x**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 155 = -m - m, -3*x = 3*m + 159. Let h = x + 51. What is the units digit of (-1 + h)*108\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6773*a**2 + 1 + 7013*a**2 - 1 to y*a**2 + s + k*a and give y.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 8008?\nAnswer: 56056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2\/19, -0.22.\nAnswer: -2\/9, -0.22, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12841809 and 145?\nAnswer: 64209045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 7*s - 3. Let z(p) = -4*p**2 - 9*p + 3. What is -3*h(o) - 2*z(o)?\nAnswer: -4*o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c + 1. Let w(n) = 5*n**2 + 64*n + 4. Determine -6*t(l) + w(l).\nAnswer: -l**2 + 76*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16611 and 1352008?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46627784 to the nearest integer?\nAnswer: 6828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4299 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(75)*-1 + -1)**2.\nAnswer: 60*sqrt(3) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8078*q**2 - 62693*q**2 - 282262*q**2.\nAnswer: -353033*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:33 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5544028 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let h(p) = -6*p + 43. Let q(x) = -b(x) + h(x). Let f be q(9). Let k be 2 - (-1 + -2 + -459993 + f). Round k to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**6\/3 - 4*v**5 - v**4 + 20*v**3\/3 - 69. Find r, given that s(r) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 853 + -849. Solve 7*c = 2*c + u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23653591 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2. Let u = -29 + 13. Let m be (u\/(-28))\/(4\/14). Let x(h) = -h - 2*h - m*h**2 + 3*h. Determine x(f(c)).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921622290?\nAnswer: 2, 5, 197, 263, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**4\/12 - w**2\/2 - 2*w + 2. Let q(o) be the first derivative of c(o). Factor q(d).\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, j: 4}. Give prob of sequence jww.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-104)\/(-3) + 8\/(-12). Suppose -35 = -r*y + 29*y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33515.49326936 plus -1?\nAnswer: -33516.49326936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 98*x + 1489. What is j(-15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3538736.\nAnswer: 2, 221171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r - 0*r, -4*r = -5*s - 8. Suppose -5*n - 2*h + 0*h + 267 = 0, s = -2*n + 3*h + 103. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 18 = -r - m, -r + 4*m = -18. Let f(j) = -j**2 + 5*j - 2. What is f(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**3 - 9*s**2 + 22*s + 30. Determine d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -116. Suppose r*d + 990 = 5*d. Let f be (-2)\/4 - d\/20. Solve f*m - 3 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 3 - -2 - 0. Let l be q*1\/(-4) + 4. Let d be l\/(-14) - 348\/(-42). Sort -3, d, 4.\nAnswer: -3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3652 is divided by 382?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {t: 2, s: 7, v: 3, p: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*x + 32, -x + 28 = 4*y - 4. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 40 = 18*i. Let k(n) = -n. Let u be k(2). Let g be (3 + (-4 - u))*8. Solve i*o - 4*b - 32 = 0, 0 = -3*b - g - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6824, -6829, -6838, -6851, -6868, -6889?\nAnswer: -6914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 186 = -4*l. Let n = -160 - -176. What is the remainder when l is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {k: 2, s: 4, y: 1, u: 1, p: 3, d: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 10*t = 0. Suppose -43200009 = -3*d - 3*u, 2*d + t*u - 28800012 = -4*u. What is d rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 11 (b) 1\/2 (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 240*q - 2094. Determine b(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(240))\/((sqrt(60)\/sqrt(5))\/sqrt(4)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*f = 21, 3*f + f = -2*p - 20. Let x(q) = -q**3 - 5*q**2 + q + 2. Calculate x(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1\/7, 57\/31 in decreasing order.\nAnswer: 57\/31, 1\/6, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 146 + 232. Let c(r) = r + 20. What is the lowest common multiple of ((-15)\/(-2))\/(z\/(-360)) and c(0)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 142*z + 1781. Calculate c(-12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-1)\/1)\/((-40)\/(-504)*(-2)\/770)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 3)*(5 + 3 + 2).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by -65\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -4928\nAnswer: -187264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 17 = -m, 0 = 2*m - t - 2*t + 39. Let l = -19 - m. List the prime factors of l*(1 - 5) - 588\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*n - 52 = -15, -4*m - 5*n + 139 = 0. Suppose -43*k = -m*k - 3204. What are the prime factors of k?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-3 + 2) - -2) + (26 - 26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(32\/(-12)) - 0\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1547*p + 3085*p - 5*p**3 + 2*p**3 - 1542*p.\nAnswer: -3*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/77)\/(18\/33).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 c when four letters picked without replacement from {c: 8, y: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4265 + 4261. Put 2\/13, i, -1\/6 in increasing order.\nAnswer: i, -1\/6, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:05 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0186 - 0.007. Round i to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 + 3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -4, -22491 in increasing order.\nAnswer: -22491, -4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 2*g**2 + 67*g**3 - 66*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 37 = 2*s + 35, 0 = s - r - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 - 265495316*r\/11 + 8810970352242482\/11.\nAnswer: 2*(r - 66373829)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-713 + 38*u + 348 + 359)*(-8*u**4 - 4*u**4 + 4*u**4).\nAnswer: -304*u**5 + 48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose -i + 3*c - 6 = b, 3*i - 3*c + 3 = c. What is the second derivative of 7*k**4 - 2*k**3 - 3*k + 9*k + 2*k**i wrt k?\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 0 (c) -0.8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20 and -37\/125.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(93 - 13 + 3*l + 41).\nAnswer: -6*l - 242","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12498 - 7445. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*p = -140*p + 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/252 and (-15)\/(-27) - 11476\/10260.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(-1 + 2*i + 1) + 2 - 2 + 2*i - 2*i + 4*i - 3*i - 2*i + 5 - 5 - i - 1 + 1)*(-3*i**3 - 2*i**3 + 3*i**3).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -61*z**2 + 1959*z - 215. Give u(32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 24*h**2 + 58*h + 108. Let f be y(21). Which is the fourth smallest value? (a) -3\/4 (b) f (c) 100 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22503 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 2*i**2 + i. Let x be (-48)\/(-18)*6\/4. Suppose 3*m - x*m = -2. Give k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -124*w**2 - 63*w + 183. Determine a(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1912 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 41*d**3\/6 + 607*d**2\/2 + 4*d + 72. Differentiate r(z) with respect to z.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8421053\/56730156 + 3\/158908. Let k = a - 2\/357. What is c in k*c**3 - 2\/7*c**2 + 0 + 1\/7*c = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r - 4. Let v be b(-3). Let l = v + -7. What is the least common multiple of l and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.206 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 - 1179 + 417 + 389 - u.\nAnswer: -u + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -6*w**4\/5 + 388*w**3\/5 + 1618*w**2\/5 + 2048*w\/5 + 824\/5 = 0?\nAnswer: -2, -1, 206\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 + 6470*d + 135968.\nAnswer: -2*(d - 29136)*(d + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 439076 and 669180.\nAnswer: 125136660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -4 in ascending order.\nAnswer: -10, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5704876127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -m. What is the units digit of ((-6)\/(-4))\/(m\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33236 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3\/2 + 7*j**2\/2 - j\/2 - 7\/2 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l = -37*l - b - 7, 2*b = 5*l - 5. Let r = 23 + -14. Suppose -255 = r*o - 4*o. Sort l, o, -2 in increasing order.\nAnswer: o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 479*l*s**2 - 33*l + 19*s wrt s?\nAnswer: 958*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + c**2 + c - 1. Let d be m(1). Suppose -3*h + 4*y + y = -88, d*y = 4*h - 99. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -979, -3935, -8851, -15715, -24515, -35239, -47875?\n\"Answer: 2*u**3 - 992*u**2 + 6*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 7*b + 4*x + 16, 5*b - 3*x = 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1384177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/295 - 12\/59. Which is the nearest to 0.2? (a) -0.1 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 5:59 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1027.37089 and -0.69.\nAnswer: 1026.68089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 5*o**2 + 7*o - 3. Let x = 11 - 5. Let v be t(x). Let b(m) = -m + 4*m + 2*m**2 - v*m. Let f(h) = -2*h. Give b(f(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2790 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 35. Determine s(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q = 35*q - y, 0 = 2*y + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + 34 - -3) + (42 - 28)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1283818*c**3 + c**2 - 48*c - 48. Is r(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 4, -325, 0.2, 99, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28652*f**2*o**3 - 19*f**2*o + 63*f*o**2 wrt o.\nAnswer: -171912*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (15 - 5 - 772445)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - -0.04. Which is the second biggest value? (a) -1.1 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 59. Suppose -2*m - 2*t + n = 0, -4*m - m = -t - 32. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*w**2 + 572*w - 572*w - 27*w**2 to the form j + h*w + m*w**2 and give m.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 270928708 to the power of 1\/2, to the nearest integer?\nAnswer: 16460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*h = -4, -2*d + 2*h - 3 + 5 = 0. What is the tens digit of (44\/(-8) + 6)\/(d\/126)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6731594 is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 7*i + 2. Suppose -5*g + 80 = i*f + 3*f, 110 = 5*g - 5*f. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 920785*v**3 - 2*v**2 - 834436*v wrt v?\nAnswer: 5524710*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 + 0 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22940?\nAnswer: 2, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 125*f + 900. What is u(-69)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/12 + 2*m**3\/9 + 8*m**2\/3 - 32*m\/3 + 1212. Factor l(i).\nAnswer: -(i - 4)*(i - 2)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 0. Let t be (12\/30)\/(2\/(-10)). Let s(r) = 7*r**2 + r - 1. Let z be s(t). Solve 2*u + z = 5*j, v*u - 4*j = 2*u - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 10*a**2 + 7*a + 20. Let u be h(9). Suppose 5*t = 4*l - l - 18, 0 = u*l + 5*t + 13. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36857 is divided by 3684.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*i**3 - 3 - 79*i**3 + 1.\nAnswer: -122*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 522.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -69. Let g(b) be the second derivative of b**5\/20 + b**4 - 8*b**3\/3 - b**2 - 4*b. List the prime factors of g(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 659548 and 48709?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006\/3 at most 2336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Suppose -o = k + 8, -8 - 17 = 5*k. Let r be (0 - (-2)\/o)*-3. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnz when four letters picked without replacement from {n: 9, z: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 7:03 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 403106272*b**2*r - 22803365*b**2 - 5 with respect to r.\nAnswer: 403106272*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1312050?\nAnswer: 393615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 3*w - 5*w + 12*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggj when three letters picked without replacement from {g: 4, j: 10, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1337*o + 61942. What is w(-46)?\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -7270264.\nAnswer: -4362158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7205 * -6\nAnswer: -43230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 431*q + 488. Does 69 divide h(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3083 - -3150. Calculate the remainder when k is divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {v: 6, r: 3, q: 3, b: 1, z: 5, w: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30502023 to the nearest integer?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(304) + (sqrt(19) - (-5 + sqrt(1900) - sqrt(1900))**2) - ((-6*sqrt(114)*-3)\/(sqrt(12)\/sqrt(2)*-1))**2.\nAnswer: -6176 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -468*w**3 - w**2 + 21*w + 7.\nAnswer: -2808*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1311 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029638 is divided by 136?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -7. Let s(m) = -m**3 + 7*m**2 - 7*m + 9. Let q be s(6). Solve d*p = 10, -q*y - 3*p - 2 = -5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-54 - -18 - 83)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, 5, -28, -1 in decreasing order.\nAnswer: 5, 0, -1, -22, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-48))**(-7\/3)\/(x\/(x**0\/x*x)*x\/(x*x\/(x*x**11*x))*x) assuming x is positive.\nAnswer: x**(287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4 + 39. Let k(z) be the first derivative of 1\/2*z**2 - 3*z + 7. Calculate k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 102020?\nAnswer: -101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**3 - n**2 + 2*n + 1. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l + 2. Let m be p(3). Let n(q) = -2*q**3 + 2*q. Let z = 15 - 0. Let i = z - 9. Let t(b) = 2*b**3 - 2*b. Determine i*t(x) + m*n(x).\nAnswer: 2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + n + 2. Let g be f(0). Factor 7*w**2 - 2*w**3 - 3*w**g + 8*w + 2*w**2.\nAnswer: -2*w*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 + 320062*a - 4801380 = 0. Calculate a.\nAnswer: -160046, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28*p**2 - 5*p + 7. Let h(r) = -20*r**2 + 4*r - 9. Calculate 5*h(z) + 4*t(z).\nAnswer: 12*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3\/2, 1, 3\/7, -8\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4 - u**3 + 10*u**2 - 8*u = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(363)*3)**2 + (2 + sqrt(363))**2*5.\nAnswer: 550*sqrt(3) + 5127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, -0.1, 0.6, 7880, -5 in decreasing order.\nAnswer: 7880, 201, 0.6, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -67 (c) 0.0107 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*g - 1954*g**3 + 1954*g**3 - 5*g**4)*(0*g + 0*g + g).\nAnswer: -5*g**5 + 5*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4\/3*k**3 + 4\/3*k**5 + 0*k + 2\/3*k**4 - 2\/3*k**2 + 0 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1191*r**3 - 49984*r**2 + 139*r - 16173.\nAnswer: 7146*r - 99968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1107*k**3 - 13*k**2 + 48*k + 3930. Let o(x) = -2215*x**3 - 28*x**2 + 104*x + 7861. Let u(i) = 13*h(i) - 6*o(i). Differentiate u(f) wrt f.\nAnswer: -3303*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 2*i + 40. Let v = i - -3. Is 20 a factor of v\/(27\/(-12) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 918279.6 millilitres?\nAnswer: 918.2796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 140 = -o, -2520*o - 231 = -3*p - 2525*o. Solve 7 = -12*y + p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -71. Let r(b) = -102 + 98 + 3*b - x*b**2 - 2*b. Let h = 10 + -7. Calculate r(h).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -21. Suppose -h = -5*w - 16, -u = -5*h + w + 5. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 244\/11. Let i(h) be the first derivative of -2\/11*h - 2\/33*h**3 - b*h**2 + 5. Factor i(g).\nAnswer: -2*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 = 3. Let w(r) be the first derivative of r**4\/4 - 5*r**3\/3 + 2*r**2 - 6*r + 48. What is w(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 56*i**3 - 31*i**3 + 11*i**3.\nAnswer: -76*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 13 = 3*d, 5*z + 3 = 2*d + 18. Let r be (8 - 7)\/(z\/(-19)). Let t(p) = -5*p + 154. Let n be t(35). Which is greater: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*g - 0*g. Let h = 12 - g. Solve 0 = -5*y + 11 + h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 3*p - q + 13, -5*q = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305457086 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/175 and (-913)\/(-66)*(-11)\/(-275)?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 13) to base 5.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31891 - 121494 = -5*a + 2*n, -4*a - 2*n + 71704 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24786 and 97727067?\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1469, -1480, -1493, -1502, -1501?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*x + 1901 = -19*x + 397. Solve 3*s - 3*c = -3, 2*s + x*c + 6 = 35*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(176\/90)*20\/25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 2*n**2 - 8*n + 2. Let o be 4*(3 + (-60)\/16) + 0. Is 7 a factor of g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3 - 125*k**2 - 560*k + 2940 = 0 for k.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 + 11 = 0. Suppose -2*f = -5*q - 0*q - 20, q - 40 = -g*f. Suppose f = b + b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -11. Let k = l + -3. Suppose k - 1 = 2*g. Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 235\/4, 0.4, -0.4, 4 in descending order.\nAnswer: 235\/4, 4, 0.4, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5580*v**4\/19 + 82182*v**3\/19 - 278558*v**2\/19 - 4308*v - 432\/19 = 0. Calculate v.\nAnswer: -4\/15, -1\/186, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30668943 to the nearest integer?\nAnswer: 5538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 12*a**2 - 15*a + 115. Calculate the remainder when m(9) is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q**2 - 105*q**2 + 61*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 94926 and 94926 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -137?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let n = 62 - 15. Suppose 3*c - 34 = n. Calculate the highest common divisor of c and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74591 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)*y**(-8)\/y*y)**(-39) assuming y is positive.\nAnswer: y**(2067\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 47226*u + 47226*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17285*w - 414726. What is s(-24)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9602.097kg to grams.\nAnswer: 9602097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -380?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11361.\nAnswer: 3, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.71 - 10.71. Sort 3, 172, d.\nAnswer: d, 3, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7*r**3 + 0 - 2\/7*r**5 + 16\/7*r**2 + 12\/7*r**4 + 0*r.\nAnswer: -2*r**2*(r - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 152*u + 3845. What is q(-120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4 take away 0.32513433863?\nAnswer: -4.72513433863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -221*d**3 + 607 wrt d?\nAnswer: -663*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 0*a. Let u = -177 - -180. Suppose -2*w + 2*p = -16, w + u = 2*p + 16. Are w and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**3 + 1159*i**2 + 256*i + 181. Calculate k(129).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 78 = 4*a - 2*a, -a = 4*o + 54. Let u = -13 - a. Find the second derivative of -10*x - u*x + 6*x - 43*x**5 wrt x.\nAnswer: -860*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68.339 + -0.039. Let t = z + -68.39. What is the third biggest value in -1, 0.09, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9604922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 69\/30*2. Let h = 3 + -1. Suppose h*x = 5*x. Which is the third smallest value? (a) 1\/3 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 11727271668.\nAnswer: 11727271668.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1819246 - -1360.\nAnswer: -1817886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 0*a - 10*a + 17*a - 4. Let h(z) = z. Determine -b(p) + 6*h(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u**2 - 2*u**2)*(-37*u**2 - 37*u**2 - 7*u**2)*(-2 + 1 - 1).\nAnswer: -324*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 159*t + 8028. Determine k(-76).\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 4, f: 1, u: 4, k: 1}. What is prob of sequence yu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(288) - (sqrt(288) + 2)*3))**2.\nAnswer: -9504 - 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 360 - 367. Which is the fourth smallest value? (a) 1\/14 (b) -1\/2 (c) -6 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 16, 2\/19, -7.9, -0.5, -206, -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, g: 4, r: 2, n: 1, a: 1, z: 1}. What is prob of picking 1 l and 1 a?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 32 = 8. Let s = 118 + -114. Let y(z) = k - s + 4*z - 2. Let o(j) = 2*j. Calculate o(y(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/7371 and -67\/1866384.\nAnswer: 117582192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(16)\/sqrt(8) + sqrt(2) - sqrt(2)) + 2*sqrt(17) + 2)**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 1. Let z = -502 + 505. Let m(w) be the second derivative of -w**4\/6 + w**3\/6 - 5*w**2\/2 + w. Give z*k(y) - m(y).\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = -v. Suppose v*h + z - 73 = 0, 3*z - 27 = -3*h + 24. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 299, 315, 329, 341?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 10. Let y be i(7). Let v = 50 - y. Let o = v + -35. What is the greatest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 8. Suppose 4*y + 62 = -18. Let m be (-26)\/y + 1\/5. Which is the nearest to -2? (a) l (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 + 35\/3*b**3 + 8*b + 0*b**2 - 1\/6*b**4. Find p, given that o(p) = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 252, 599, 1102, 1767?\nAnswer: 2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 668 or 22\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23099311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by 755\nAnswer: 157\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-590) + (4\/50)\/(37\/370*-4)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 5*r**4\/24 + 167*r**3\/2 + 7*r**2 + 26*r + 3. Let j(g) = -2*g**2. What is x(j(i))?\nAnswer: -10*i**2 + 501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533125*h - 2*h**2 - 11*h**3 - 533125*h.\nAnswer: -11*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 365561880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*r**4*t + 2*r**4 - 44*r**3 - r**2*t + 3*t + 5 wrt r?\nAnswer: -480*r*t + 48*r - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 147, 239, 339, 447, 563?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 2*u + 3. Let k(m) = -m**2 + 2*m + 3. Let s(y) = 4*h(y) - 5*k(y). Let j be s(3). Let c be (18\/(-2))\/3 + 7. Solve c*q - q = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*w + 67, 3*a = w + 4*w + 48. Let b = a - 4. Let q(g) = -5*g + 1. Let k be q(-1). Solve k*j - 3*r - b = 4*j, 3*j + 2*r = 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 200*t**2 - 106*t**2 + 5*t**3.\nAnswer: t**3 - 306*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-9))\/((-94)\/141)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Suppose 5 = -b*z - 5. Put z, -3, -1 in increasing order.\nAnswer: z, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 49*d**2 - 1408*d + 69895. What is i(48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:24 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.92*1476.\nAnswer: -1357.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 163 divided by 4484\nAnswer: 163\/4484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16)\/(5\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-1242)\/552)\/(((-45)\/(-354))\/5)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 18501.\nAnswer: 185010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9483 and 44457?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0*y - 2*y + 7*y. Let u = 544 - 525. What is the remainder when u is divided by i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714*t + 709*t + 6655 = 0. Calculate the greatest common divisor of 4356 and t.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a millimeter in micrometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*((o\/o**(-8)*o)\/o)\/o)\/o)\/o)\/o**(-3\/7))\/(o*(o**(-1\/8)*o*o)\/o*o**(-1\/3)) assuming o is positive.\nAnswer: o**(989\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/30*18)\/((-16)\/40)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 858 + -1606. Let a = d + 277. Find the common denominator of a\/(-12) + 1\/(-4) + 0 and -117\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 39*d**2 + 11*d**2 - 58*d**2 - d**3 - 4*d + 2. What is g(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75.002 - 0.002. Let x = 120 - l. Let a = x - 42. Sort a, 4\/5, 0.1 in increasing order.\nAnswer: 0.1, 4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7 - 1 + b + 2. Let u be v(-6). What is the tens digit of ((-11)\/u)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 9*q + 405 = 0. Let c = q + 29. Solve -w = w + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.54 * -0.8.\nAnswer: 18.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*s + 15. Let h = 0.3 + 0.7. Let f = h - 0.5. Sort f, s, 3\/4.\nAnswer: s, f, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + -421. Let y = -68 - l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 5886?\nAnswer: -5887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952506 is divided by 1040.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(4\/(4*-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from rgrrrarrgargrlrragrg.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millennium in years?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Suppose -2*n - 25 = -7*n + 5*u, -n - 10 = 4*u. Let w(k) = 4*k**2 + 5*k**2 - 26*k**n. What is v(w(h))?\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 18. Suppose 36 + 24 = 2*m. What is the highest common factor of v and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0293 and -4.\nAnswer: 4.1172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s**2 + 2*s - 104. Let d be n(0). Let z = d + 169. Suppose 0 = 3*h + 2*h - z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000111010001000110110 - 11?\nAnswer: 110000111010001000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 30*y**2 - 2*y - 8. Let i be z(-2). Let l = 224 - i. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2129292 and 5855553.\nAnswer: 23422212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 6, 13, -108 in decreasing order.\nAnswer: 34, 13, 6, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 42 - 23)*(0*h**3 - 2*h**3 + 0*h**3)*(4*h + 3*h - 6*h).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -1 + (0 - 2). Solve -p + 2*q = i, -q = -2*p + 4*q - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 188861736*a - 188861740.\nAnswer: 4*(a - 47215435)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152 - 3)*(-13 + (-1848)\/(-140))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + -2 + 0 + sqrt(72).\nAnswer: -2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.85 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (((-119392)\/39)\/(-16))\/(4\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50160139*o**3 + 2*o**2 + 16456521*o wrt o?\nAnswer: -300960834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 2*l)*(2*l + 1 - 1) - 45*l**2 - 2 - 11*l + 43*l**2 + 2*l.\nAnswer: -4*l**2 - 9*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 0.5 (c) -5\/2 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c**2 - 14973 + 2*c + 14973.\nAnswer: 54*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558491.6ml to litres.\nAnswer: 558.4916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - -2. Let s = x + -52. What is the greatest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 12:59 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -3, 2 in decreasing order.\nAnswer: 11, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -24. Suppose -3*n + 9 = -2*q + 3, -4*q + 32 = w*n. Suppose 333 = q*o - 3*u, -5*o + u + 3*u + 550 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -71*g - 232. Determine p(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 + 27)) + (2632 - 2620)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 1178620 + 2060648 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/66)\/(24\/324))\/(-1*1\/2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2300 and 7487880?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*u**5 + 3*u**4 + 2195*u**2 - 6*u + 66263 wrt u.\nAnswer: -240*u**3 + 36*u**2 + 4390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 9*r - 7. Determine t(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n\/(n\/n**(2\/3)*n)))\/n))**2\/((n\/n**(-2))\/n)**(-19\/2))**(-2\/31) assuming n is positive.\nAnswer: n**(-122\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 311 = 111. Let g be 8\/v + 46\/5. Suppose 0 = -3*l - g + 12. Solve o + 4 = -l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 11 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(-1 + 2)*2. What is the common denominator of (-1)\/(-3) + k\/60*202 and -45\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4858 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6354.2? (a) 0 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66953 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1804 - 732. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039064?\nAnswer: 2, 3, 84961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(88) + sqrt(88)*-3)*-1 - (2*sqrt(88) + sqrt(88))*-1)\/(((sqrt(392) + -1*sqrt(392))*-3 - sqrt(392) - sqrt(392))*-1).\nAnswer: 15*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8686, 17371, 26056, 34741, 43426, 52111?\nAnswer: 60796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*v + 1037, 6*q - 4*q - 3*v - 412 = 0. What is the third derivative of 4*d**2 - q*d**3 + 232*d**3 - 2*d - 19*d**2 wrt d?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52756681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42915031?\nAnswer: 97, 227, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3*l*m**2*y + k**3*l*m - k**2*l*m**2 + 16*k*l*m - 2*k*m**2 + 389*l*m*y wrt y?\nAnswer: 2*k**3*l*m**2 + 389*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/24 - v**3\/6 + 6*v**2. Let g = 76 + -72. Determine p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 314167 and 1258.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -9, 24, 1, 2, 3 in descending order.\nAnswer: 76, 24, 3, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x + x)*(-3 + 0 + 1)*((-1 - 1 + 4)*(-5 + 3 + 3) - 2 - 3 + 3 + 0 + 4 - 2) to o*x + j and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*m - 3. Let v(w) = -w**3 - w**2 + 78. Let q be v(0). Is q\/m*(-9)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 4*d = -5*i + 4, 2*i - 2*d = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43636.\nAnswer: 2, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + t = -2*f + 13, 4*f - 3*t = 66. Suppose 5*n = 125 + 1095. Let b = -109 + n. Calculate the greatest common factor of b and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.043559, -2, -3\/2?\nAnswer: 0.043559","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1828*h**3 + 66*h + 3659*h**3 - 1825*h**3 in the form b*h**2 + y*h + r + k*h**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4 - 463*j**3 + 19590*j**2 - 9449*j - 9680 = 0 for j.\nAnswer: -1\/2, 1, 55, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1954 + 1967. Calculate the greatest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 - -1.12. Which is the nearest to 1? (a) h (b) 3\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -47788 in descending order.\nAnswer: -1, -2, -47788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344521\/36 - -37985\/4. Let i = -74 - f. Let r be (495\/(-10))\/(-9) + -5. What is the second biggest value in i, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 6*h**2 + 2. Let v be c(6). Let n be (-9)\/v*(-12)\/(-9). Let u be 1\/((4 - 1)\/n). Let y(a) = 4*a**2 + 2*a + 1. Determine y(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 29, 15, 1, -13?\n\"Answer: -14*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1311 - 31208969*a**2 - 180 + 31208972*a**2 as o*a + m + s*a**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1774, 14427, 48862, 115975, 226662, 391819?\n\"Answer: 1816*q**3 - 5*q**2 - 44*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.1. Suppose 0 = -4*i - 2 - 2. What is the closest to c in i, 5, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from uuuoouoswouuuoouuos.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 18*z - 9. Let s be 48\/42 - 48\/(-7). What is v(s)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-24) + 22\/(-12). Let h be (-5)\/(-15) - j\/(-6). Suppose h = -5*d + 6*g - 2*g - 3, 0 = -5*d + 2*g + 1. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 11*a - 255 = -y - 17*a + 2*a, -3*y = -2*a - 77 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/192 and 55\/1878.\nAnswer: 60096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose -7*k + 8*k - 3 = 0. What is the second derivative of 2*n - k*n**s + n**4 + n + 3*n**4 wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184812, 739066, 1662760, 2955894, 4618468?\nAnswer: 6650482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2800)\/(-210)*(-81)\/(-54)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*((4 + sqrt(68)*-4 - sqrt(68))**2 - ((sqrt(68) - (-4 + (sqrt(68) + -3*sqrt(68))**2)) + sqrt(68))).\nAnswer: -9920 + 420*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107 + (-80850)\/(-750))\/(3 + (756\/(-375) - 1))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -13\/3, -2\/5, 41, -0.042, 1.6?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**35)\/(s**(-24)*s)*(s**2)**(4\/29) assuming s is positive.\nAnswer: s**(1748\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -113130?\nAnswer: 113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, g: 3, y: 4, f: 1, j: 1, s: 4}. What is prob of picking 2 a, 1 s, and 1 f?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010000100001 (base 2) to base 3.\nAnswer: -10101100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 64.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/b)\/(b\/((b\/(b*b\/(b\/b**(-18))))\/b))*(b*b*b*b**(-1\/19))\/(b**(8\/3)*b) assuming b is positive.\nAnswer: b**(1270\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29.43 and 28629264160.9?\nAnswer: 28629264190.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*l + 84 = 163*l. Suppose 0 = l*z - t - 53, -4*t - 5 + 9 = 2*z. Solve -7*y + 11*y + z = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-6)*-4*3. Suppose 3*s = 3*n + 75, -20*n + 4*s + 80 = -25*n. Let c = n + f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(72) + sqrt(18))\/(-3*sqrt(9)*1) + -3.\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*x + 11 = -c, -3*c - 5*x - 18 = 0. Let k be 2*(c - (-30)\/27). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -417 - -417. Suppose -2*v + 548 = a - 0*v, -3*v = n. What are the prime factors of a?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56125, 112331, 168537, 224743, 280949, 337155?\n\"Answer: 56206*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 18616799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 11*y - 1. Let h(a) = 124*a - 22. Let f(c) = h(c) - 12*l(c). Determine f(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 4*g**3 + 2*g**3)*(-2 - 2 + 5) + g**3 + 11*g**3 - 5*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupfkfuu. What is prob of sequence uup?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -414*x**2. Let v be n(-1). Let w be v\/(-15) - ((-4)\/10 - 0). What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (955\/(-573))\/((3\/72*-4)\/(1\/(-2)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144156 (base 7) to base 15.\nAnswer: -83d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11 - 2 = -3*p, 2 = 2*p. What is the tens digit of 9\/(2\/168*16\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(4\/9))\/(y**(-3)\/y) assuming y is positive.\nAnswer: y**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 30. Suppose -a = a - u. Solve -n = -4*n - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-1)\/(-3) + 3 - 1. Let x = -19 + 26. Suppose -x*l - 6 = -10*l. Solve 0 = -l*c - 2*k + 4, -z*k - 5 = 3*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 24*o**2 - 28*o - 1. Let f be -60*(-6)\/3 - -5. Suppose -12*m - f = -7*m. Is v(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42823725 and 3150?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 44192334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**4\/24 - i**2 + 4352*i + 6. Let y(c) be the first derivative of 9*c**2\/2 - 1. What is y(v(u))?\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11300 - -301133?\nAnswer: 312433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160 by -580.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 - 180. Let x(f) be the third derivative of 0*f - 4*f**b + 0 - 1\/12*f**4 + 0*f**3 - 1\/30*f**6 + 0*f**5. What is the second derivative of x(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 234325?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 226*u**2 + 62*u + 6832. What is g(-113)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*k - 154. Solve -5*q = -4*n + k, 0*q - 31 = -3*n + 5*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -6386, 1 in descending order.\nAnswer: 1, -19, -6386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 2. Let c(w) = -15470*w - 9724. What is -2*c(o) + 9724*r(o)?\nAnswer: 1768*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 7494460.53163.\nAnswer: 7494462.53163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51620.31 nanograms to micrograms.\nAnswer: 51.62031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9.072 * 5\nAnswer: -45.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(133)*-1 - sqrt(133) - sqrt(133))*2)\/(3*(sqrt(7) + (sqrt(7) - (sqrt(77) + -2*sqrt(77))\/sqrt(11)))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 19348*w**3 - 565*w**2 + 4*w - 25. Let a(c) = -9673*c**3 + 283*c**2 - 2*c + 13. Let s(z) = 9*a(z) + 5*j(z). Find the third derivative of s(u) wrt u.\nAnswer: 58098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i - 42 = 49*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/25520 and -27\/1407428.\nAnswer: 28148560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 3263 + 1993 = 0. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130, -506, -1136, -2020, -3158?\n\"Answer: -127*q**2 + 5*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 2}. Give prob of picking 1 b and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let j = 5060 + -5061. Let s(i) = -24*i. Give j*s(y) - 6*d(y).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726.89526 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 42 = s + 57, 2*y + 6 = -2*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -4 (c) -0.1 (d) 11 (e) -6156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 2:50 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78202 and 16008334?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/8 - 2668725*b\/2 - 5337453\/2.\nAnswer: 3*(b - 3558302)*(b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9393 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.5 + 7. Let m = -3 - 1. Let r = 3 + m. Which is the second smallest value? (a) r (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 80, -22275.\nAnswer: -22275, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145339 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45152 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88621 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: 1\/14*4\/(16\/(1440\/(-18)))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -91*c**3\/3 - 252. Let z(h) = -4*h**2. Calculate z(v(q)).\nAnswer: -33124*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6559, 13118, 19679, 26248, 32831, 39434?\n\"Answer: s**3 - 5*s**2 + 6567*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8752, -17335, -25918?\n\"Answer: -8583*u - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -6*(-3)\/(-6). Let r be 4*-2*s\/(-72). Which is the smallest value? (a) -3 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3969 = 4*b. Suppose 6729 = -8*g + 5*g - j, 6729 = -3*g - 5*j. Let l = b + g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/12 + 5*m**4\/12 + 5*m**3\/2 - 7*m**2. Let l(t) = 0. What is t?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v - 3*s = -49*v - 11, -4*s = 4*v - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37611, -152021, -342705, -609663, -952895?\n\"Answer: -38137*l**2 + l + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194 and 46679.\nAnswer: 9055726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36958 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220.61 centuries to months.\nAnswer: 1464732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426\/761545 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u + i - 110, -2*u + 78 = -4*i. Let l(g) = -9*g**3 - 2*g**2. Let k be l(-2). Let z = k - u. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 2*m + 0*m + (-4*m - m + 10*m)*(-8 - 1 + 2) to the form h*m + r and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(((0 + sqrt(700))*-2)**2 + -3*(sqrt(700) + 1)) - (0 + -3 + sqrt(700)*1 + 2)**2).\nAnswer: -9094 + 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2952 (b) 4 (c) -2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n - 2*n - 2*n)*(2 + 3 - 4) + (n - 2*n + 2*n)*(-2 + 5 - 1) - 2*n + n + 3*n)*(-17 - 19*n + 20 - 8).\nAnswer: -38*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.09081\nAnswer: -0.45405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 28*u + 959. Let q be t(-34). Solve y = -3*s + q, 3*y + 5 = 6*s - 2*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(sqrt(75) + sqrt(75) + sqrt(75) + -3 + -4 - sqrt(75) - (sqrt(75) + 0)*1)**2.\nAnswer: -124 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92 - 35 - 32)*(-4 + r**2 + 4) - 3*r**2 + 2*r**2 + 6*r**2 to the form b + u*r + n*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2440 = -129*b + 634 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3143 + 0?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let d be f(0). Suppose d = a - 5 + 15. Let g be ((18\/30)\/(-3))\/(2\/a). What is the fourth biggest value in g, -7, -3, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.06, 3, 88, 1\/9 in decreasing order.\nAnswer: 88, 3, 1\/9, -0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - z + 4*z = -15, 0 = -5*m - 3*z + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*m - 19, 13*m + 1591 = 4*o + 1644 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and -19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 84*b**2 + 5463*b + 224. Calculate n(-65).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11100111100101101011 (base 2) to base 8\nAnswer: 3474553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2302, -4600, -6898, -9196, -11494, -13792?\nAnswer: -16090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(4 - 1 - 4). Suppose 5*m + 4 = -3*o, w*m = -4*m - 2*o - 4. Does 17 divide m\/2 + (7 - -45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 6*l. Let f be (-2 + -2 - -4)\/(-1). Solve l*j + 2*j + 8 = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0198 - 70.0802. Let i = y - -79.2. Is i at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23801117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -329*b**2. Let x(a) = 31*a**2. Determine x(l(h)).\nAnswer: 3355471*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*s = -9, 2*s = 8*d - 3*d - 6. Suppose 101 = y + 2*u, d = y - 6*y + u + 560. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10433 + 10447. Suppose 4*l = 16 + 8. Calculate the smallest common multiple of l and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(9\/(-54)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1664 in 0, -0.5, 3, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v - 26171 = -24419 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 1389420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 433*s**2 - 7*s + 300. Let t(q) = 2583*q**2 - 40*q + 1801. Let x(p) = 34*l(p) - 6*t(p). What is the second derivative of x(o) wrt o?\nAnswer: -1552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 97412, 97416, 97420, 97424?\n\"Answer: 4*h + 97408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110 - 11?\nAnswer: 101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4)*24\/(-9). Let y = 3.8202 - -0.1798. What is the third biggest value in 1\/5, n, -7, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -5016 (c) -0.3 (d) 4\/7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 14) to base 2.\nAnswer: 1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 - 3 = 5*u, -2*q = 4*u + 10. What is the units digit of (u + -1)\/((-3)\/534)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/9 + 4\/(-6). Suppose n*k - 3*k = 0, 1 = -y - k. Calculate the remainder when 26 is divided by (y*2)\/(6\/(-21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1)))**42*(y**(-4)\/y)\/(y\/y**(-1\/2))*(((y*y**(-1))\/y)\/y*y)**28\/(y**0)**(8\/5) assuming y is positive.\nAnswer: y**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -53. Let z be (-56)\/(-49) + (-1)\/7. Suppose -5*f + 16 = z. Solve -5*i + f*k - g = 0, 2*i + 0*i + 5*k = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.1 + -41.07. What is the nearest to 1 in 1\/2, -0.3, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4381.5 - 4381. Let h = -1 + 4. Put 5, 4, c, h in descending order.\nAnswer: 5, 4, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 24 - (6 + -13 + 5 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f + 1. Let y be o(2). Let w = y + 1. What is the units digit of 123\/w*10\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*s - 40, -22*g + 3*g + 208 = 4*s. Solve 4*v + g = 0, -22 = 2*j + 4*v - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3 - 9. Suppose -m*c + 8 = -4*c. Suppose -4*y + 421 = 3*n, 3*y = c*n + n + 294. What are the prime factors of y?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -71. Suppose -j + 0 = t - 2, -3*j + 5*t = -c. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001011011000001000111110 - -100?\nAnswer: -1101001011011000001000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*-26*(-26)\/2028?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 - 0.7. Suppose 0 = 2*o - 3*o - 6. Let p be (1\/3)\/(o\/(-6)). What is the closest to 0 in -5, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7733.725 minutes?\nAnswer: 464023500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11.8 (b) -1193 (c) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 88 - 92 - (-6 - (-3 - -7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -1179, -1722, -2287, -2880, -3507, -4174?\nAnswer: -4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 11*q**2 + 4. Let l be w(11). Suppose -3 = l*u + u - 4*z, -3*u - 7 = -5*z. Let y = u + 5. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3021395 and 102037.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:38 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 788\/291 - 198\/97. Find q, given that -3\/2*q + 1\/3 + 5\/6*q**5 + m*q**3 + 5\/3*q**2 - 2*q**4 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 291302 = 4*m, 3*y - 4783 = -3*m + 213653. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**4\/12 - 5*r**3\/3 - 9*r**2\/2 + 26*r - 49. Let t(b) be the first derivative of n(b). Factor t(c).\nAnswer: -(c + 1)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - 13 - (2 - 8). Let r(a) be the first derivative of -2\/11*a**3 - 1\/22*a**4 + f*a - 2\/11*a**2 - 5. Factor r(m).\nAnswer: -2*m*(m + 1)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 38. Let s be (1\/(-6)*-3)\/(a\/28). Calculate the remainder when (-2710)\/(-70) + 2 + (-12)\/s is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(104)*2 - sqrt(104)) + -5*sqrt(104)*1)\/(sqrt(96)\/((1*sqrt(108))\/sqrt(9))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296851 is divided by 126?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53936 and 8.\nAnswer: 53936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -5*a**8\/56 - 23*a**5\/60 + 18*a**2. What is the third derivative of w(p) wrt p?\nAnswer: -1800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, -82, 5 in descending order.\nAnswer: 180, 5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - p + 313 = 4*n, -p - 311 = -3*n. Suppose 0 = -5*x - n + 414. Let m = x - 44. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -703 + 703 + j**2 + 8*j**2. Let b(r) = -3 - r + 3. Let s(n) = n**2 - 3*n. Let k(g) = 3*b(g) - s(g). Calculate z(k(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p + 22*p - 44*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 y when four letters picked without replacement from {y: 1, c: 4, t: 1, n: 6, m: 3, k: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijjjcjjjjjjjjj. Give prob of picking 2 j and 1 c.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -281 + -4?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 1. Let l be n(7). Let j(g) = -10*g + 4 - g**3 - 8 - 5 - l*g**2. Give j(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 102 - 13 = 0. Let a = 45 - d. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 57 - 37. Suppose y*j - 12 = 2. Let q(z) = -z - 5. Let v(m) = m + 7. Calculate j*q(n) + 5*v(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 10*f - 3. Let b be k(10). Is (-12)\/b*83\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (1 + 1 + (-10 - -12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*((-162)\/2)\/(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*s + 3*s + 171, -3*o + 3*s + 126 = 0. Calculate the greatest common factor of o and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -564 and 439.\nAnswer: -247596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*a - 4 - 8, -5*a + 3*c = -12. Let t(j) = 1 + j**2 - 4 + a + 6 - 4*j. What is the remainder when 8 is divided by t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2438.9993455 - -2439. Round p to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 5:20 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1 + -2 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8686, 8790, 8894, 8998?\nAnswer: 9102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25962 - 25959. Let n = -5 + 4.95. Let r = n - 0.01. Put -2\/11, t, 1\/2, r in increasing order.\nAnswer: -2\/11, r, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 21*o - 37. List the prime factors of d(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 201 = 5*n, -n = 4*g - 11 - 19. Let s be (5\/7)\/(6\/n). Solve -3*t = 2 - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 3, 1, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/56 + -2 + (-42)\/(-98).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1904 + -1.8096. Put 2\/23, 0.17, x, -0.5, 0.3 in increasing order.\nAnswer: x, -0.5, 2\/23, 0.17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/(((-2)\/(-14))\/((-776)\/679))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108768, 2\/5, -252.2 in descending order.\nAnswer: 2\/5, -252.2, -108768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 754, 4, 1 in increasing order.\nAnswer: 1, 4, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - (-80)\/14. Let u be -480*2\/b*-50. Round u to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23735940.\nAnswer: 2, 3, 5, 19, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, 152, -5 in increasing order.\nAnswer: -5, -4, -3, 2, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/9, 6531, -28, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:10 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1955 = 3*z, -5*z = j - 4*j - 3253. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8205 (base 11) to base 6.\nAnswer: 122235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f - 448 = -134*f + 215*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2468658*p**5*s + 3*p**3*s - 4579862*p**2*s wrt p.\nAnswer: -148119480*p**2*s + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2321403*o - 582. Let g be q(-6). What is g rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288.50000563 - 288.5. Round x to 7 dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 13. Let r = 29 + m. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3323*u**2 - 16620*u + 21. What is q(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 84*p + 180.\nAnswer: -3*(p - 2)*(p + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 y, and 2 m when four letters picked without replacement from {m: 9, y: 2, c: 8}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 8*w - 5. Let q be t(3). What is the tens digit of (-80)\/q - 1*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.1\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11*43.77\nAnswer: -481.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-910)\/30)\/(-7))\/(1\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 9) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-1820)*13*-154. Suppose -5*w + 3*w = -462. Calculate the greatest common divisor of w and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 + (-744)\/72.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -19. Factor 21 - 48*z**2 - 3 + 3*z - x*z**3 + 48*z.\nAnswer: -3*(z - 1)*(z + 3)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1818, 1814, 1810?\n\"Answer: -4*u + 1822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/30 and -58\/345?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/294 and 8 - 4495\/720 - (-10)\/45?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 143. What is the highest common divisor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88436205 and 5291?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 39*w**2 + 223*w + 4054. What is l(-42)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800076288?\nAnswer: 2, 1757887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrrrryrrrrrjree. Give prob of sequence ejy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*((1*(((-1*sqrt(19))**2 - sqrt(19)) + 5) - (sqrt(1900) + sqrt(1900)*1 + -4)**2) + -4).\nAnswer: -795*sqrt(19) + 37980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04849 + 0.5.\nAnswer: 0.54849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + -10.89. Let x = a + 9. Let o = 0.3 + 0.2. What is the third biggest value in o, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 17162851?\nAnswer: 17162856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2513 = -n - 542. Suppose -3*u = -0*u - 900. Suppose 3*d + u = n. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 44. Let d be a(12). Calculate the highest common divisor of 72 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/14*(0 + 6). Let j(k) = -2 + 2*k**2 + f*k + 0*k - 2 + k. Is j(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47929, 95858, 143787?\nAnswer: 191716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + e754?\nAnswer: e757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24287374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -152 - (89 - 145)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -275*f**2\/2 + 73*f + 534. Differentiate w(y) wrt y.\nAnswer: -275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 18*k**2 - 17*k - 21. Let o be r(17). Let i be 1969\/903 + 7\/o. Let u = i + -18\/43. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(-2\/7))\/t))**(-15\/4)\/(t**(-2\/3))**(-2\/13) assuming t is positive.\nAnswer: t**(-5377\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1876, 1, 0.03, -8, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -4 + (5 - 1). Suppose s*j - 18 = -3. Suppose -2*a + 2*o - 56 = -6*a, -j*a + 55 = -5*o. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t + 5*g + 58, -2*t = -2*g + 44. Let y = t + 24. Suppose 0 = 5*w - 2*v - 54 - 65, y*w = v + 71. What is the remainder when w is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, 1, -3 in ascending order.\nAnswer: -5, -3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - u - 201 + 200, 2*d + 5*u + 29 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/140 and 33\/8105?\nAnswer: 226940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from qgxbbgz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-4)\/(232\/1)*1\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/12)\/(231\/(-44))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 439031 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4\/5*u - 14\/15*u**2 + 0 - 2\/15*u**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -13*y**3 - 11. Let j(s) = -4*s**2. Calculate j(h(k)).\nAnswer: -6084*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2 = 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)*j**(-2\/5))\/(j**0*j)**(3\/2))\/((j*(j*j**(-3\/4))\/j*j*j**(2\/11))\/(j\/(j\/(((j\/j**(-1))\/j)\/j))*j)**(3\/14)) assuming j is positive.\nAnswer: j**(-623\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 a when four letters picked without replacement from {c: 2, n: 3, h: 10, a: 3}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 12}. Give prob of picking 2 y.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -674.07 or 20.62?\nAnswer: 20.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71914, -71972, -72030, -72088?\n\"Answer: -58*r - 71856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2014 + -2016. Sort -5, -421, r in decreasing order.\nAnswer: r, -5, -421","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 644 and 645 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -13, -0.2, -0.4, -2\/17, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -111457.\nAnswer: -2340597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6303564 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61753 is divided by 61739.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1377) + 0 - sqrt(1377)) + sqrt(17)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -27*q + 29*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(500))**2 + -4 - ((sqrt(90)\/sqrt(2) - sqrt(45))*6)**2 - (sqrt(120)\/sqrt(24))\/(sqrt(144) + sqrt(144) + 3*sqrt(144)).\nAnswer: 1199*sqrt(5)\/60 + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2103242656 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (25 + (-4 - 14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*t = -14, -2*h + 9 = -2*t - 1. Suppose -4*m - 4 = 2*r, 3*r + 6 = -h*m + 5*m. Solve -4*c + 2*c + 6 = m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -927?\nAnswer: -927.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -220110323100 (base 4) in base 16?\nAnswer: -a14ed0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 7*q + 9. Let g be v(-6). Let u = -1 + g. Let b(c) = 4*c**2 - 3*c. Let j(d) = 3*d**2 - 2*d. What is u*b(h) - 3*j(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 8*d**2 + 1 - d**2 + 1 - d**2 - 1 + (-3*d**2 - 2*d + 2*d)*(1 - 2 + 0).\nAnswer: 9*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -51989, 10, 1.74 in descending order.\nAnswer: 10, 1.74, -51989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h - 4. Let p be x(-4). Suppose -p = -5*k + m, 3*k = -0*m - 2*m + 14. Is k + 0 + 3 + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 8:01 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*o + 410*o + 96 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 143924281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7292*f**2 + 130*f - 7449747?\nAnswer: -14584*f + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -s, -5*s + 4*r - 3 = -14. Let d(v) = -v**2 + 3*v + 7. Let l(b) = -b**2 + 2*b + 6. Give s*d(p) - 4*l(p).\nAnswer: p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - s**2)*(2*s + 0*s + s)*(1 - 2 + 2)*(1 + 1 - 4).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*q + 129, 15 = x + 3*q - 32. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -10*f - 7. Suppose 0 = 2*j - 2, 5*q + f = j + j. Which is smaller: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o = 2*d - 11, -4*d - 40*o = -42*o + 75 - 9 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 17 - 8 + 38)*(-4*r**2 + 0*r**2 + 0*r**2) to j*r**2 + y + w*r and give j.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-14)\/(k*k\/(k\/(k**(3\/35)\/k))))**(-45))**12 assuming k is positive.\nAnswer: k**(53244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4184 (b) -9 (c) -113 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20617, 41411, 62565, 84253, 106649, 129927, 154261?\n\"Answer: 29*c**3 + 6*c**2 + 20573*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 50*p. Let m(u) = 936*u. Give v(m(t)).\nAnswer: 1752192*t**2 - 46800*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**4 + x**3 - x**2. Let y(k) = 903*k**4 + 2*k**3 - 2*k**2 + 1917*k. Let f(h) = -y(h) + 2*z(h). Find the second derivative of f(g) wrt g.\nAnswer: -10812*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.387 + 2.387. Let x = 0.1 - 0.2. Let p = -1.97 - 0.03. Sort x, p, k, 1\/4 in descending order.\nAnswer: k, 1\/4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155228 is divided by 19336?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20323\/555 + -9\/185. Let k = 36 + l. Sort 4, k, 0.4 in ascending order.\nAnswer: k, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 741 or 743?\nAnswer: 741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 7*t**2 - 6*t - 22. Let l be j(5). Let b be 108\/51 - l\/(-17). Solve -5*q + 5*u = 30, -17 = 4*q - b*q - 3*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36293460, 72586918, 108880376?\n\"Answer: 36293458*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-6 - (-11 + (-5 - -11)) - (-57 + 97))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -0.31\nAnswer: -11.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0*o + 6*o - o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130695 less than 2.1?\nAnswer: -130692.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.22 - 0.92. Let n be 3\/8*2\/(-3). What is the second biggest value in -0.2, w, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -1.2. Let g = -0.09 + 0.09. Which is the biggest value? (a) x (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27056 and 22456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7090 + 877. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, s: 2, x: 2, e: 3}. What is prob of picking 2 s and 1 x?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 3*w - 48 = -33, -4*u - 17 = 5*w + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 4*w**2 - 4*w + 3. Let h be u(2). Let a(k) = 4*k**2 + 5*k. Let p(v) = -9208 + 4*v + 9208 + 4*v**2. Determine h*a(q) + 6*p(q).\nAnswer: 4*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/45))\/f*f)**8 assuming f is positive.\nAnswer: f**(344\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100.8 + -6.8. Let p = -103.1 + b. What is p rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-1 - 2) + 141. Suppose 0 = 3*a - n - m, -a - 2*n - 182 = -5*a. Suppose f - a = 6. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*r. Is 113 + r + 4\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23183\/12885 + 2\/2577. Determine g so that 3\/5*g**2 + 3\/5*g**4 - d*g**3 - 6\/5 + 9\/5*g = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 1831?\nAnswer: -1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -22188882037.947?\nAnswer: 22188882038.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*q + 3*q + 3*q + (-4 - 2 + 4)*(q + 0 + 0) + (-1 + 1 + 2*q)*(1 + 4 - 3) in the form j + k*q and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*k + 18 - 81 = 0, 4*g - 160 = -3*k. Calculate the highest common factor of 559 and g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 3*a**2 + 42*a**4 + 2*a**3 + 3*a - 41*a**4 to the form t*a**2 + w*a**3 + r*a**4 + l*a + n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(3 + (sqrt(68)*-5 - (sqrt(187) - -1*sqrt(187))\/sqrt(11)))**2.\nAnswer: -9828 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8 - (-65)\/10. Suppose 171 = r*c - 18. What is the smallest common multiple of c and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z**2 + 40*z**2 + 31*z**2 + 34*z**2 - 150*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5 - 0. Let p(i) = -i**3 - 4*i**2 + 4*i + 1. Let y be p(-5). Let l = y + -4. Which is the third smallest value? (a) l (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 269057822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**3 - 3*q**2 + 3*q - 6. Suppose 5*u = -4*g - g + 5, 0 = -4*u + 5*g - 41. What are the prime factors of d(u)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1288521)\/867672 + ((-124)\/(-72) - (-4)\/(-18)) and -107\/48.\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10307297 and 3850?\nAnswer: 515364850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/2, -290, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:22 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31821204?\nAnswer: 2, 3, 43, 83, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*t**2 - 62*t**2 - 1 + 1.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29370 and 106800?\nAnswer: 1174800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 13 - 5)*(-2 + 2 + 2*q**2)*(q - 4*q + 4*q) to the form i + t*q**3 + c*q**2 + j*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -31b6cc?\nAnswer: 31b6d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 845*u**3 + 3*u**2 - 3*u + 1055. Let v(s) = 844*s**3 + 4*s**2 - 4*s + 1054. Let p(o) = -3*v(o) + 4*z(o). What is the derivative of p(q) wrt q?\nAnswer: 2544*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*c*s + c - 589*s + 28615 wrt s?\nAnswer: -15*c - 589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1033*n**2 + 2. Let w(i) = -11*i**2 + 1. Calculate -q(b) + 2*w(b).\nAnswer: 1011*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4620)\/(-6468)*14\/22.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 8. Let x(d) be the second derivative of d**3\/6 + 3*d**2\/2 - 2*d. Let c be x(3). List the prime factors of v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*u**3 + 151*u**3 - 132*u**3.\nAnswer: 193*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5432*d**2*w**4 - 4*d**2*w**2 - 11*d**2 + 3*d*w**3 + d*w**2 - d - 20*w**4 - 527*w - 11 wrt w?\nAnswer: -130368*d**2*w + 18*d - 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -26 (c) 0 (d) -0.1 (e) -0.3 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 1972*w + 27277. What is h(-14)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.832 + 24. What is f rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4251216?\nAnswer: 2, 3, 31, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 2*x - 4*x + 252 - 207, 5*i - 5*x = -120 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.785926153 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*o + 19, -2 = -o - w - 3. Suppose 0 = o*r - 4 - 0. Solve a - 23 = 4*b, -a + 5*a - r = -2*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 5 (b) -14 (c) 0 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -18*c. Let l(k) = -k. Let x(w) = -b(w) + 24*l(w). Let y(u) = -u**3 - 8*u**2 - 12*u - 9. Let m be y(-6). Let d(r) = -3*r. Determine m*d(n) + 4*x(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 37.\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - (-4 - 0))*-1. Solve -30 = k*m - 5*p, 0*m - 15 = -5*m - 4*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 8*p**2 - 11*p - 1. Let k be i(-7). Let l = 111 - k. Calculate the greatest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -3. Let v = -66 - -77. Suppose 32 = v*y - 1. Solve -5*x - 12 = 4*c + 4, 0 = 3*c - y*x + q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:27 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/14102 + 810991\/592284. Calculate the common denominator of 133\/120 and a.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238929 + -3589018\/15. Let s = j + 339. Let m = -36 - -35. Are s and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 194568551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*m - 2705 + 2701 - 220*m as v + x*m and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42222780 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534459354.\nAnswer: 2, 3, 11, 13, 41, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g - 185. Let t = -96 + 194. Let h = t + -61. What is the highest common divisor of h and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -8, -2\/13, 1 in decreasing order.\nAnswer: 1, 1\/2, -2\/13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24816788, 24816789, 24816790, 24816791, 24816792?\n\"Answer: j + 24816787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -693 + -459. Let m = 762 + w. Round m to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.922, -3\/4, -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010802063 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = 1. What is the units digit of (-7 + 4 + 2)*d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**3 + 7*j**3 + 10*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2435668 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175203827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3217 + -6435\/2. Sort l, 0.4, 2, 3 in descending order.\nAnswer: 3, 2, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 - 67. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-3*v + 7*v + 0*v)*(-v**4 + 4*v**4 - v**4 - v).\nAnswer: 16*v**5 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -2\/13, -4, 482?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1449 (b) -273 (c) 0.3 (d) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-140)\/420 + 1234\/93).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {q: 6, d: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*v - 5 = 0, -2*v = 6*f - 2*f + 26. Let q = 0 - f. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a - 1. Let k(u) = 15*u**2 - u - 1. What is -k(m) + y(m)?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-21)\/(-28)*76\/(-304)*-72.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/40)\/(9\/(-6)). Let q be -2 + 1 + (2 - 3). Which is the closest to l? (a) 0.2 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from qbqduquqsq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 10*i + 3*i**2 - 10*i + 11*i + 15*i + 478*i**3.\nAnswer: 478*i**3 + 3*i**2 + 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, 1 j, and 1 n when four letters picked without replacement from njlqf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.16 (b) -5 (c) 0.2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 56785920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.1 (c) -12 (d) 3\/14 (e) 1853\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o**3 - 230*o**2 - 19*o + 50. What is w(7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 + (-3 - 4 - -3). Let v be ((-2)\/x)\/((-4)\/18). Which is the closest to 2\/3? (a) v (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -1386, -0.03, 1\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 0 = 5*h - 6, 3*h - 6 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -43*c**4\/24 + 147*c**2 - 2. Let b(m) = -5*m**2 + 5. Determine x(b(f)).\nAnswer: 215*f**2 - 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:08 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 504887452 to the power of 1\/2, to the nearest integer?\nAnswer: 22470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**14\/r*r\/((r*r**(-21))\/r) assuming r is positive.\nAnswer: r**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6918559436 to the nearest one hundred thousand.\nAnswer: 6918600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 1651*g**4\/6 + 465*g**2 + 682*g. Differentiate o(f) with respect to f.\nAnswer: 6604*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0 (c) 1\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931 - 2798 + 935 - l**2 + 932.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1672 and 73\/185684.\nAnswer: 77615912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s = 276 - 1291 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 176384 and 0.09420718?\nAnswer: 176383.90579282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:13 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01096 rounded to four dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 + 47. Let r(d) = 3*d**2 - 4*d + 4. Let m(k) = -k**2 - 2*k + 2. Let w(y) = 2*m(y) - r(y). Determine p(w(s)).\nAnswer: -100*s**4 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17730)\/(-270) + 2700\/(-45).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -35*z**3 - 672*z**2 - 176*z + 444. Let p(o) = 12*o**3 + 224*o**2 + 58*o - 148. Let t(s) = 6*m(s) + 17*p(s). Factor t(y).\nAnswer: -2*(y + 1)*(y + 37)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-68 + 109) - 32\/4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40 and 49 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3 + (5 + 17 - 2)*(1 + 1 + 3))*(-4 + 4 - 1)*(0 + 2*j + 0) in the form w*j + q and give w.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(70\/(-29)) - 9\/21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**7\/7 - 4*k**3\/3 + 6*k. What is the second derivative of c(q) wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1188)\/(-84))\/(-11) - (-3260)\/2100?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 107, 99, 85, 65?\n\"Answer: -3*n**2 + n + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1. Let a(y) be the first derivative of r + 2*y - 1\/3*y**3 + 0*y**2. What is the derivative of a(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) -1229105 (c) 43 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(3 + 4 + 2)*(2 - 5 - 2)*(-4*a + 4*a + a)*(2*a**2 - a**2 + 0*a**2).\nAnswer: 135*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2138 - 1253. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -50e?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*(-105)\/(-189)*3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74654.92 kilometers?\nAnswer: 74654920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071886 is divided by 3471.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i - 2. Let d(h) = h + 1. Give -a(o) - 2*d(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 53, 84, 119, 158, 201?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 11 = -40*m + 47*m, -5*o - 5 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13537 is divided by 524?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -406 + 391. Let v be (16*7\/(-70))\/(6\/f). What is the biggest value in -4, v, 3, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 472565 = 3385. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3250093 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -304, -1222, -2758, -4918, -7708, -11134?\n\"Answer: -a**3 - 303*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579 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: Let a = 10779 + -10771. Solve 5*z + 5 = -4*g, -3*g = -4*g + z - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 748\/7 + -789\/14. Find the common denominator of ((-5)\/6)\/((-1)\/(-17)) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxfekfxf. Give prob of sequence fef.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 81*n**2 - 44922*n - 44923. Determine c(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 80*h**3 - 4075*h**2 - 3990*h.\nAnswer: 5*h*(h - 38)*(h + 1)*(h + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(832)*3 + (sqrt(637) - (sqrt(637)*5)**2)*-5.\nAnswer: -107*sqrt(13) + 79627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 0, -6 in descending order.\nAnswer: 2, 0, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.046\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 3.2. Let z = p + -2.93. Let i = 0.1299955 + z. What is i rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1749, -2645, -3547, -4455, -5369, -6289, -7215?\n\"Answer: -3*l**2 - 887*l - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220632007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3 - 63*t**2 + 552*t - 1136 = 0.\nAnswer: -71, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5689063.9 rounded to the nearest 10000?\nAnswer: 5690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**3 - w**2 - w + 1. Let a = 74 + -90. Let q be (1 + -4 - -1) + a. Let z = -17 - q. Give d(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + (-27)\/(-5). Suppose t*y - 53 = -5*a + 147, -12 = 4*y. Suppose 31 = 2*j - a. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 1680?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62104 and 93128.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 6*g**2 - 10*g - 8. Let p be (62\/4 - 16)\/((-1)\/(-14)). What is y(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 227*a. Let h(o) = -29*o. Calculate t(h(n)).\nAnswer: -6583*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/(-2)*4\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/20883 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 91. Suppose -3*s - s + l = j, -3*j - 5 = -4*s. Calculate the smallest common multiple of s and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/186 and -33\/118482536?\nAnswer: 11018875848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85058 = -72*t + 36910. What are the prime factors of t?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-25))\/(-6*4\/(-120)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7371 + -2.\nAnswer: -3.7371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2992, -6042, -9092, -12142, -15192, -18242?\nAnswer: -21292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 4*c + 5.\nAnswer: -(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/4011?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 32*t**5 - 273252*t**4 + 15562593*t**3\/8 - 1919707*t**2\/8 + 14931*t\/2 = 0.\nAnswer: 0, 1\/16, 7, 8532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -7 (b) -0.1 (c) 187.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 23*q - 28. Find the third derivative of -10*t**6 - q*t**2 + 7*t**6 + 3*t**2 - 3*t**2 wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.044 + -33. Let o = 0.0661 - i. Let t = 0.022099378 - o. What is t rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2191648 years in millennia?\nAnswer: 0.0002191648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - l = -6*r - 23, 0 = 2*r + l + 12. Let u be 2 - (-3 - r - 4). Let c be u\/9 + (-64)\/(-36). Solve 0 = -4*b - c*x + 16, -3*b = -4*b + x + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -41*s + 397. What is the remainder when 265 is divided by a(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*o = 452*o. Suppose -5*k = -4*z + 39, 2*z - 5*k - 12 = 5. Suppose -z = -b - j - 1, b - 5*j = 4. Solve 3*f + 6 - b = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75)*4 + -3 + (sqrt(75) + 1 + sqrt(75)*-2 + sqrt(75))*2 + -5)**2.\nAnswer: -240*sqrt(3) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yneynyneeee. Give prob of picking 3 n.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**3\/6 - 5*k + 2. Let p(w) = 3*w + 2*w + 0*w. What is p(b(i))?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0495424 rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 0*n - 2*n**2 + 3*n**2 + 9 - 5*n. What are the prime factors of u(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/377 and -53\/3770?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/3 + 19\/6. Let q = -286.07 + 286. Which is greater: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15212*p = 4108*p - 988256 for p.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.306 - -0.246. Sort h, -4, -27 in descending order.\nAnswer: h, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s - 3*s + 3*s)*(2 - 2 + 1) + 0*s + s + 0*s + 3*s + s - 5*s - s + s + 6*s)*(-s + s - s**2 + 2).\nAnswer: -8*s**3 + 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -164 in decreasing order.\nAnswer: 15, 5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.147.\nAnswer: -0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/300 - k**5\/50 + k**4\/30 + 6*k**2. Let w(s) = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4401.3 - -4401.8. Put -343, 5, d, 1 in increasing order.\nAnswer: -343, d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*b**3 + 56*b**3 + 2*b - 1 - 6 + (6*b**2 + 22 - 22)*(2*b - 15*b - 3*b).\nAnswer: -98*b**3 + 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 11. Let m be 8\/(-3*4\/(-6)). Let b be m - (1 - -1 - -2). Suppose 4*z + b*d - 4 = d, -8 = 2*z + 2*d. Calculate c(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23910 and 330.\nAnswer: 263010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 40*f - 64.\nAnswer: -4*(f - 8)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78060384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/12*2*8\/78. Suppose -3 = 19*r - 3. Which is the biggest value? (a) -4 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 1, w: 1, n: 1, r: 3, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, u: 4, e: 4, l: 3, w: 7}. Give prob of sequence uluu.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 - 98. Let t(x) be the second derivative of 0 - x**2 + 0*x**3 + 0*x**s - 1\/6*x**6 - x + 0*x**4. What is the first derivative of t(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:20 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-2)\/(2\/(-5)). Let h = -317 + 320. Let p be -3 - -12 - (-3 + h + 4). Solve 2*n + p + 5 = 0, -y*n = 4*v - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 51 (c) -0.1 (d) 6\/5 (e) -6\/47 (f) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let p = 113 + -110. Let s(n) = -3 + p - 121*n + 108*n. Calculate f(s(t)).\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 245 = -5*i, -3*i - 4*a = a - 187. Suppose 0*f + i = 2*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 5*g + 4. Let x(d) = -4*d**2 - 9*d + 7. Give 5*c(p) - 3*x(p).\nAnswer: 2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 928453.2 to the nearest 1000.\nAnswer: 928000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/3)\/(21\/14). Let w be 14\/(-35) - (-34)\/u. Let x = 0.3 + 0.2. What is the nearest to 0.1 in x, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 255*x - 266*x)*(0*x + 0*x - x).\nAnswer: 11*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f. Let m(d) = 14*d**2 + 13. Let a(i) = 7*i**2 + 6. Let u(t) = 13*a(t) - 6*m(t). What is r(u(l))?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0999862 seconds?\nAnswer: 99986.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 + 10 = -4*x, -3*o + 73 = x. Suppose 5*s - 77 - o = -5*j, -5*j + 94 = -s. What is the smallest common multiple of j and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*x + 351*x - 90*x - 77*x - 84*x + x.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 87, 89, 91, 93?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/4 + 2*w**3\/3 + 3*w**2 + 3*w + 4. Let n be q(-3). What is the tens digit of 7\/(-4)*n\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 - 53*x + 2. Let v be ((-28)\/72 - 2\/18)\/((-5)\/10). Let s(h) = -h**2 - 1. Calculate v*r(n) + 4*s(n).\nAnswer: 2*n**2 - 53*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1 + 5)*-6 + -4 + -3 + sqrt(20)\/sqrt(4) + -2*(sqrt(5) - (0 + sqrt(5))).\nAnswer: -37 + 67*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3107, -6223, -9339?\n\"Answer: -3116*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*g - 112, 2*h + 5*g = -22 - 21. Suppose -36 - 162 = 5*u + 2*p, 80 = -2*u - p. Let x = h - u. What is the smallest common multiple of x and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -318 * -2\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18385 + -11332. What are the prime factors of x?\nAnswer: 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 5. Let c(n) = -2*n + 4. Let k(u) = -7*a(u) + 6*c(u). Calculate the smallest common multiple of 10 and k(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 29*t + 7918 = 3*d, 5*t + 10565 = 4*d. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 8. Let y be l(-6). Let f(q) = q**2 + 2*q. Let p be f(y). Suppose p*i - 2*i = 0. Solve i = -o - 3*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46, -260, -952, -2030, -3494, -5344, -7580?\n\"Answer: -193*s**2 + 273*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 4*i**2 + 65*i + 202. Let m be q(-3). Let f = 25 + -16. Let w = 14 - f. Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 3*c**2 - 7*c + 9. Give s(6).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.536 + 12.036. Let x = -2 + -1. Let a(c) = c**2 - 5*c. Let w be a(5). What is the nearest to w in x, h, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.36 - 0.36. Let y = -10654 - -10654.1. What is the second smallest value in z, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181662.99932 - 181628. Let x = 35 - d. What is x rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2040 - -2037. Which is the nearest to -2? (a) 0.1 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 11)*(4 - 6 + 5 + (5 + 0 - 3)*(6 - 3 - 4))*(-g**2 - 5 - 7*g + 5) in the form w + h*g**2 + a*g and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5202 or 5199?\nAnswer: 5199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/17)*x*x**(2\/3)*x**(3\/2)*x**(-5)\/x assuming x is positive.\nAnswer: x**(-301\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d31 - -5?\nAnswer: -d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 48 = 9*v. Let o be (-56)\/3*v\/(-8). What is the tens digit of (-909)\/(-21) + 8\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-6280.4786\nAnswer: 37682.8716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:17 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*c**3 + 15*c**2 + 2*c**2 + 7*c**2 - 7*c**2 - 17*c**2.\nAnswer: -162*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97 and -352718.\nAnswer: 34213646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8 and 3\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 21*z**2 - 2*z - 50. Let o be s(-21). What is the units digit of -10*50\/o - (-6)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 0*s**2 + 0*s**2)*(141 + 29 + 18).\nAnswer: 564*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 27*v = -2*w - 4, 2*w - 6 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-11))\/((24\/(-4))\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -15 in ascending order.\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3013609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -10221211222002212?\nAnswer: -10221211222002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 0*k**5 + 7 + 0*k**3 + 0*k + 0*k**4 + 0*k**2 - 1\/21*k**6. Factor z(o).\nAnswer: -2*o**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 3*q)*(q**4 - 5*q**2 + 5*q**2) - 2*q**5 + 0*q**3 + 0*q**3 - 38*q**5 + 185*q**2 - 185*q**2.\nAnswer: -42*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5396374 < -5396373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13732?\nAnswer: 2, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2 + 2 - sqrt(11)) + 3 + 1 - (-4 + ((-2*sqrt(396))**2 - (0 + sqrt(275)))).\nAnswer: -1574 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avmvvmv. What is prob of sequence am?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3167.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 283397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 1}. Give prob of picking 1 z and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.5. Let c = 16131 - 16130.9. What is the closest to 1 in n, c, -20?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11901926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 12 = -3*l, k = 5*l - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007406 times -15.325?\nAnswer: -0.11349695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 - 4*m**2 - 4*m. Let i be (-4)\/((-8)\/6) + 1. Let w(p) = -15*p**3 - 21*p**2 - 21*p. Give i*w(f) - 21*y(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 18*r = -32*r + 6. Let p(l) = l**3 - l**2 + 4*l - 1. Determine p(r).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*t - 64*t - 46195. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683849.\nAnswer: 29, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48979637\/22141657927 + -2\/3266213. Calculate the common denominator of c and -35\/6.\nAnswer: 40674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4878*s - 231072 = -8862*s for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhvhlhmhllqillmimqq. Give prob of sequence qlmq.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 2 (c) 112\/583 (d) -2\/15 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2134 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 2*b + 0*b. Let k(f) be the second derivative of 28*f**3\/3 - 67*f - 2. Let g(r) = -48*h(r) - k(r). Let y(l) = -4*l**2. What is y(g(x))?\nAnswer: -256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 22*t + 125. Let a(d) = -17*d**2. Calculate i(a(b)).\nAnswer: -578*b**4 + 374*b**2 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 243788965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.876756 millimeters?\nAnswer: 0.006876756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 163.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = 2*f + h, -5*f - h - 40 = 0. Let w = 36 + f. Suppose 204 = 31*c - w*c. Calculate the highest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*(a\/((a*a**4\/a*a)\/a))\/a))**43\/(((a\/(a*a\/(a*a\/((a\/((a\/((a\/(a\/a**15*a)*a)\/a))\/a))\/a)*a)))\/a)\/(a\/a**(-2\/21))) assuming a is positive.\nAnswer: a**(4811\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*q - 21 = -5*q, 5*k = -4*q + 93. Solve -4*p = 2*v - 0*v + 4, 0 = 3*p - 2*v + k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 6, a: 4}. What is prob of sequence raad?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.35 and 2.\nAnswer: -34.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22155 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: Simplify (((-1*sqrt(360) - sqrt(360))*6 + sqrt(360))\/(sqrt(8) - sqrt(392)*-1))\/(-1*sqrt(729)*2*-2).\nAnswer: -11*sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34602, -138142, -310616, -552024?\n\"Answer: -34467*c**2 - 139*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/11 + 30\/(-20). Which is the third smallest value? (a) p (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/6 - (0 - 9). Suppose 5*s - 25 = 0, -t*q + 4*s + 0 = 8. Suppose 0 = -z + q - 1. Solve 2*b = -z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30554, 28999, 27450, 25907, 24370, 22839, 21314?\nAnswer: 19795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0\/(2*-1). Let o be (-5)\/(q\/(-1) + -1). Suppose o*h - 475 = 525. What is h rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*k - 71*k + 23*k + 18*k.\nAnswer: -104*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (-936)\/(2652\/68).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 148 and 147 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.46. What is the smallest value in o, 0.3, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {x: 3, r: 1, c: 8, q: 5, y: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 716847 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8364 - 1756 = 0. Let a be n\/(-10) - (-2)\/(-10). Suppose 0 = 4*r - r - a. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 + 6*g - 3. Let j be d(-7). Suppose -t - 116 = -4*p + 121, j*p + 3*t - 217 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + 43\/(-4). Let r be 6\/(-9) - o\/3. Let y be 2*(-1)\/2*r. Sort 5, 2\/7, y in decreasing order.\nAnswer: 5, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/3*66\/4. Let h be (-27 - -23) + 0 + b\/2. Suppose 0 = -5*q + 15, 2*s + 2*s + 1 = 3*q. What is the highest common factor of h and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131527052 to the power of 1\/2, to the nearest integer?\nAnswer: 11469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*g = 440, 4*q - 5*g = 492 - 135. Let s = -83 + q. Solve 0 = -s*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/3))\/z**(-1\/6))**(-4)\/((z\/z**(-1))**(1\/4))**(-6) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:32 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/((-2)\/12))\/1. Let f = 8 - 4. Let t = i - f. Calculate the lowest common multiple of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 65*v**3 + 235*v**2 + 90*v - 40. Let p(o) = -5*o**3 - 18*o**2 - 7*o + 3. Let k(g) = 3*j(g) + 40*p(g). Factor k(s).\nAnswer: -5*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.033 + -0.033. Let g = h - 68.000039. What is g rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-42)*a**(2\/5)\/(a*a**(2\/11)))\/((a**(-5)\/a)\/(a*a\/(a\/(a\/a**(-2\/9))*a)*a))**3 assuming a is positive.\nAnswer: a**(-2989\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4445 = -5*z - 0*z, 4452 = 5*m + 2*z. Suppose a - 6*a + m = 0. What are the prime factors of a?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 - 111 + 111 + d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9963 and 1397493?\nAnswer: 57297213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 times -0.3?\nAnswer: -129.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5160 >= -263096\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.052? (a) -30 (b) -2\/3 (c) -13574.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(6*s - 7 - s**2 - 6*s) to q*s + u + y*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/2*0)\/2. Let n(z) = 9*z - 17. Let m be n(7). Suppose a = 2*j - 0*j - m. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 7465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by -270*7\/105*-5?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84654 by 2.\nAnswer: 42327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 48*y + 19*y + 28 = -16*y - 18*y, 3*q + 2*q - 5*y = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1688580 and 1350864?\nAnswer: 6754320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -511365500 and 18.\nAnswer: -511365482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/4 + 2*r**2 - 3. What is the second derivative of s(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48344?\nAnswer: 2, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from kjjkhhhjyh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(8)\/(sqrt(18)\/sqrt(9) + sqrt(2)) + sqrt(4)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 22 = 5*q + 11*a, -q = -4*a - 14. Put -5, q, -10 in descending order.\nAnswer: q, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10620 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 4*a**7\/105 + a**4\/2 + 27*a**2. Find the second derivative of s(n) wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 53*t**2 - t - 2. Give r(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/144 + (-680)\/387. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114477 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, -1\/508, 1, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/15*100\/300)\/(2\/(-114)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*n + 189*n + 178*n - 46*n - 60*n**2 - 82 + 4*n**3 - 418.\nAnswer: 4*(n - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*c - 4*c + 4 = 0, 0 = -c + 1. Suppose -7*s - 55 = -12*s. Let o = 11 - s. Is w smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 651426, -2, -5 in decreasing order.\nAnswer: 651426, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.5 + -23.27. Let n = k + 0.87. Which is the second smallest value? (a) n (b) 2 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-21984.5.\nAnswer: -285798.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 176 = -720. Suppose 30*z + 16 = t*z. What is the remainder when 13 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00246 from -32.79.\nAnswer: -32.78754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**2. Let h(w) = -w**2. Let f(k) = 5*h(k) + s(k). Let a(v) = -8*v + 8*v + 20*v**2 - 2*v**2. Determine f(a(t)).\nAnswer: 648*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1889212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -s + 37. Let d(m) = -s*m - 50*m + 280 - 50*m + 23*m. Let b(o) = -19*o + 40. Let l(p) = -20*b(p) + 3*d(p). Differentiate l(u) wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*z**6 + 13*z**3 + 2*z**2 + z - 22959?\nAnswer: 1920*z**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2061920076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30212 + -122224411?\nAnswer: -122310123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -2*z - 4*h, 4*z - 135 = -307*h - 309*h + 613*h for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -68.21?\nAnswer: -20.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 19 - 1. Solve -6 = -4*w - t*c, -5 + 13 = -5*w + 4*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g + 4 = 3*k, 0 = 5*k + 5*g - 60. Let m = -185 - -176.5. Let t = -8.8 - m. Is k greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = c + 18 + 8, 5*c = -2*g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214631902.\nAnswer: 2, 11, 55210541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72581 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 149. What is the first derivative of -b - 36*j - 29 - 83*j - 21 wrt j?\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709 - 96 = 1281*g - 668 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 338130203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2164887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 629 and 13838.\nAnswer: 13838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 231*x**2 + 30*x + 259. Let k be p(-21). What is k rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340233259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p*p**(6\/7)*p)\/p)\/p)*p*p**2)\/(p\/(p**3*p))**(2\/101) assuming p is positive.\nAnswer: p**(2264\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.3. What is the closest to f in -0.2, 3\/19, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m + 1)*(2*m + 1 - 1) - 7*m**2 + 3*m - 3*m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 31. What are the prime factors of b - (18\/(-2))\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -487 - -3403\/7. Let i be 15*1\/3 - 3. What is the smallest value in h, i, 0.09, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1287 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 1. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 + 123. Suppose j - 54 = -3*s, 2*j + 4*s + s - 107 = a. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5318*s - c + 491 = 5308*s, c + 97 = -2*s for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90717 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1300105453 to the nearest integer?\nAnswer: 36057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827*u + 1782*u - 957*u + 58.\nAnswer: -2*u + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.755 + -0.055. Let m = 6.6 + -7. Sort -1\/6, m, s in ascending order.\nAnswer: m, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*b = -126*b - 3922889. List the prime factors of b.\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4128 + 4039. Which is smaller: -90 or o?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 829022 and 3478.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.0978 rounded to 1 decimal place?\nAnswer: -124.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 809, 1, -1, 9, -9 in decreasing order.\nAnswer: 809, 9, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/209, -2, -63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(26 - 24). What is the smallest value in j, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11914.\nAnswer: 2, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/4)\/((-2)\/(-32)). Let h = z - -8. Which is smaller: h or -19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 237780 or 237523?\nAnswer: 237780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) - (sqrt(3) - ((sqrt(363) - sqrt(363)*1) + sqrt(363))**2)) + sqrt(3).\nAnswer: sqrt(3) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 18*z**3\/7 + 1030*z**2\/7 - 19436*z\/7 - 20448\/7 = 0.\nAnswer: -72, -1, 142\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**4\/24 - y**3 - 8*y**2 + 43*y + 7. Factor z(h).\nAnswer: -(h + 4)*(h + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g = 74*g - 9. What is the smallest value in g, 2\/7, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/425670 and 71\/10854585?\nAnswer: 21709170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10350 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 1\/3*y**3 + 17\/12*y**4 - 1\/2*y**2 - 4*y + 0. Let s be o(1). Solve j + s = -2*j - 2*m, m + 7 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3119*y**3 + y + 6211*y**3 - 2*y - 3144*y**3 as i + k*y**3 + t*y**2 + u*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6412 and 40437278?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18248 - 18165. Solve -20 = f*t + 63 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/3*s**2 - 2\/3*s + 16\/3*s**3 + 3*s**4 + 0 = 0. What is s?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-12)\/(-45))\/((-2)\/20)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -21. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*f - f - 4*f)*(-4 + 3 + 3)*(-2 + 4 - 1) to v + k*f and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 109*p**2 + 52*p - 171. Determine h(-55).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0 = -2*l + 6, 0 = -2*g - 4*l + 12. Let r be (35\/(-56))\/(950\/40). Does r = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**4\/2 - 120*o**3 + 81*o**2\/2 = 0 for o.\nAnswer: -27, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*k - 160*k = -868161. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 6266536.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/12 - 4\/(-6). Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -i, 2*z = -i - 2*i + 26. Which is smaller: i or 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsh when three letters picked without replacement from {g: 5, h: 2, s: 3, j: 1, x: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*p**3 - 26*p**3 - p**2 + 7 + 17 in the form q*p**3 + b + s*p + g*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 5 + 23*b - 30*b + 38*b - 30*b - 5.\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000080023635 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*b + 2 + 1, 3*k + 5*b - 5 = 0. Let g be (-4)\/(-18) - (-50)\/18. Suppose -16 - k = -g*a. Solve -3*m = o + o + 1, -a = 2*m - 5*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*n + 3*n - 2, -3*n - 24 = -3*l. Put -1, n, 41, 5 in increasing order.\nAnswer: n, -1, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 39. Suppose -4*n + 5*n - 4*f = 1, -3*n = f - 55. Let v be m(n). Solve v*k - 4 = 5*y - 14, y + 4*k = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 219 = -134*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2)*m*m)**(-3\/11)*((m\/(m\/(m*m**(-2))))\/m)**(4\/31))**10 assuming m is positive.\nAnswer: m**(-1810\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303247 - 3196239. Suppose 2*b = 3*b - 1952992. Let t = b + g. Round t to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvnnnccnmmn. What is prob of picking 1 v and 2 n?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:45 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*((-65699 - -8) + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*p - 5*c, 3*p - 3*c = 8*p + 96. Calculate the common denominator of 31\/96 and (-4)\/((-448)\/121) - p\/(-147).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 656*x\/3 + 26208.\nAnswer: -2*(x - 1092)*(x + 108)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980.26 take away 0.3?\nAnswer: 1979.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 19 + 1. Suppose 0 = -2*x - x + 4*b + 10, g*x = 4*b + 14. Let q(c) = -6*c + 2. Give q(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 6*i + 2*i)*(2*i**2 - 2*i**2 - i**3) - i**4 - 3*i + 3*i + 25 - 25 + 4*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1. Let r(s) = -2*s + 32. Calculate 2*k(b) + r(b).\nAnswer: -2*b + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 386625920 - 19025\nAnswer: 386606895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.534 + 2.594. Let o = p - 0.06. Let g = -28.999981 - o. Round g to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.7 + -24. Let m = -2.8 + f. Let p = m - 1.9. Which is the third biggest value? (a) 7 (b) 2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.9. Let y = -0.4 + f. Which is the biggest value? (a) -1\/7 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (0 - 0 - (80 + -89))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.103 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(130))\/(sqrt(120)\/(sqrt(12) - -4*sqrt(12))).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 640979 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2092 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43155*p**3 - 6*p**2 - p - 5245821 wrt p?\nAnswer: 129465*p**2 - 12*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uabuobaaabbananucua. What is prob of sequence bco?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938980 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.8. Let i = -18185\/154 - 1799\/22. Let q = 199 + i. Which is the closest to 0? (a) q (b) 6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2821.2443 rounded to the nearest 10?\nAnswer: -2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56477?\nAnswer: 56477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-96)*-4 + (-13)\/(-57)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127127414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -42. Suppose -3*o + 4*o + 3 = -5*r, 0 = d*r - o - 3. Suppose r = 12*z - 8*z - 4396. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34 - 140 + 54 + 36 + 4*u**2.\nAnswer: 4*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - 15 - (6 + 0)\/2. Let h(s) = -s - 28. Let c be h(f). Put 2, -1, 4, c in decreasing order.\nAnswer: 4, 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -20*x - 19. Suppose -4*r - 5*t + 61 = 0, -2*r + 4*t = -7*r + 83. What is the remainder when r is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-230)\/78 - 270\/4050 - 48\/(-20).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96823 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 3, 1 in ascending order.\nAnswer: 1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8365 divided by -15?\nAnswer: -1673\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28811632121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - (4 + 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = 0, 0 = 2*d + 4*h + 550 - 19788. List the prime factors of d.\nAnswer: 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2 = -3*h - 12, -3*h = -3*l + 24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 0.8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 68 = 36*t, 5*x - 348 = 100*t - 201*t + 100*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13452462271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-45))\/((-4)\/(-6)). Let y = v - -3\/10. What is the second smallest value in y, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1795*l + 119892 = -14508 - 28945 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1210272 is divided by 71130?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:17 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and 63570?\nAnswer: 2733510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 465 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 73*c + 673. Calculate d(11).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 7) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -203064 + 8?\nAnswer: -203059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2393, -2394, -2383, -2354, -2301, -2218?\nAnswer: -2099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 776 and 336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 11 - 5 + 39*b + 37*b.\nAnswer: 76*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u + 7*u - 12*u to the form j + k*u and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4 + 22656*j**3 + 14761179*j**2 + 2499744996*j + 57179747772 = 0.\nAnswer: -294, -27, 8167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d + 8. Let n be u(-3). Let f = n - 14. Solve -3*q - 3 = 0, -3*l - q - f = -23 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/3*(-12)\/8. Let z be a\/(-42) + 1\/(-6). Solve z = v - 3*i - 9, 4*i = -2*v - 18 - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11723406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**28*p)**(-10))**(2\/11) assuming p is positive.\nAnswer: p**(-580\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.077442 decades?\nAnswer: 609.29304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 851, 3324, 7447, 13226, 20667?\n\"Answer: r**3 + 819*r**2 + 9*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -276.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h - 1. Let r be w(2). Calculate the greatest common factor of 50 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*c - 5. Let w be c\/5*3\/2. Solve -w*k + 0*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - 2964\/80. Let c = y - -37. What is the common denominator of 1\/((-30)\/153) - 3 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5127.2929 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 46*l**2 + 181*l - 21. Give o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -294, -292, -278, -246, -190, -104, 18?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f + 68534 - 68366 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -12. Solve -h + 4*o - 21 = 0, -q*o = -2*h - h - 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -6. Let o(k) = -k**3 + 10*k**2 - 9*k - 7. Let h be o(9). Is 2\/h + 275\/d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*t - 5 = -4*n - 142*t, 2*n - 5 = 3*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -205, -637, -1459, -2797, -4777, -7525?\n\"Answer: -21*c**3 - 6*c**2 - 3*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 2673\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*k - 3*k. Suppose 12 = -0*d + k*d. Suppose -m + 2 = 2*l, -m + 3*l = 6*l - 2. Solve m*w + 12 = -2*n + 4*w, 0 = -2*n + d*w - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2214540 (base 6) in base 3?\nAnswer: -12122120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 1327*b - 16048. Give g(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 46*j**2 - 16. Suppose -100*m - 437 = 1863. What is u(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.74?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o. Suppose -x = 14 - 4. Let t(z) = 16*z**2 - 10. Let r(p) = -5*p**2 + 3. Let i(l) = x*r(l) - 3*t(l). Calculate i(s(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiin when four letters picked without replacement from {n: 3, e: 4, i: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 60, 97, 138, 183, 232?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*s**4 + 49*c**3*s**3 + 274*c**3*s**2 + 15*c**2*s**2 + 2*c*s**2 - 75*s**4 wrt s?\nAnswer: 48*c**3*s + 294*c**3 - 1800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1465080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 55 = 0. Suppose 3*q - c = -5*b, -4*q = -b - 2*b - 5. Calculate the remainder when (-2)\/(-2) - b*-17 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u - 16. Let x be p(4). Suppose -5*v + 24 = -a, 24 = 5*a - a + x*v. Let j be 16\/4 + (29 - a). What is the highest common divisor of 256 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11410988887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Suppose 9*j = 6*j + 6. Let y be 6\/(j - 15\/9). Solve -z*i = 4*w - 5 - 3, 0 = -5*w + 3*i + y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3850, -3871, -3892?\nAnswer: -3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53765 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32\/7*p - 30\/7 - 2\/7*p**2 = 0. Calculate p.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/2 - 24*v**4 + 417*v**3\/2 + 1867*v**2 + 4158*v + 2916 = 0.\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 10*q + 232 = 117 + 114, -4*w + w + 2*q + 31 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.401 and -0.07.\nAnswer: -2.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.182 * -3.\nAnswer: -42.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 1 - (15 + -8 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4988 a factor of 270738664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/9 + (-2)\/(-3). Let m be (8\/(-28))\/(b\/(-28)). Suppose m*s + 28 = 1944. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 679.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:32 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-2))\/(-9) - (-21)\/6. Suppose -t*p + 4*g = p - 2935, -4*g = 20. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 9 + 11*d**2 + 11 + 11*d**3 as h + w*d**3 + r*d + l*d**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, -1116, 5, 49 in decreasing order.\nAnswer: 49, 21, 5, -4, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-120)\/(-5) + 902\/(-41) - (0 - -3). Let h be (1\/3)\/((-19)\/(-12)). Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Suppose 3*i + 21 = 3*y, -h*y + 3*i + 4 = -23. What are the prime factors of 0 + 9\/y - -140?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) - -3 - -58. Calculate the greatest common factor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4745\/39 - (-4)\/(-6). Let l = g - 116. Solve -w + 1 = l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/5 + 59\/20. Which is the fourth smallest value? (a) f (b) -0.4 (c) 1\/19 (d) -0.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -c + 10*u + 4147, 5*c - u - 20830 = 0. Does 44 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -41*d**2. What is o(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 12*u**2 + u**2 + 6 - 70*u - 6*u**2 as m*u**2 + d*u + x and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/6 + 200*s\/3 + 808\/3 = 0. What is s?\nAnswer: -4, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8178909 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9050*a**2 + 9054*a + 4.\nAnswer: 2*(a + 1)*(4525*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.166. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -l + 10. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 + 4. Let d = 0 + y. Let k = -1669\/7 + 238. Sort k, -0.2, d.\nAnswer: k, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/113604048?\nAnswer: 5\/113604048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3794, 14596, 32498, 57500?\n\"Answer: 3550*i**2 + 152*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.57, 42, -0.02, 8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 201?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 + 31 = 0. Suppose b = c - 78. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19602433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17)*k**(-2\/15)*k\/((k**(-2\/33)*k*k)\/k)*k*k**(3\/10) assuming k is positive.\nAnswer: k**(-347\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epee when four letters picked without replacement from {e: 7, p: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -0*g - 2*g + 3*v, -g - 2 = v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24, 4, 0 in descending order.\nAnswer: 4, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 2 + -4 - (-29 + 69 + -21)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19502.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 18. Suppose -50*z = 90 + 260. Let n(q) = q**2 - 6*q - 85. What is the smallest common multiple of n(z) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvd when three letters picked without replacement from {j: 3, d: 7, v: 3}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -4*y**3\/3 + 12. Let l(p) = -p**2. What is l(d(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 389.981 litres?\nAnswer: 389981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**3 + l**3 + 0*l**3)*(-2597 + 1346 + 1778) as b*l + a*l**2 + j + v*l**3 and give v.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4 + 2)*0. Suppose x - 1 = -d*x. Let m be (-15 + 15)\/(-3 - -4). Solve -x = p - m*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901066?\nAnswer: 2, 450533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 0 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**12)**(1\/2)\/(i\/(i*i*i*i**6)*i)**(-5))**23 assuming i is positive.\nAnswer: i**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 8211?\nAnswer: 4\/8211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -28 - 17. Suppose -m*a + 165 = -275. What is the remainder when a is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*m = -554*m + 33 + 21 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = -5*l + 75, l - 3*d = 27. Calculate the remainder when ((-357)\/14)\/(3\/(-4)) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from jldjbjljdd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n**2 + 21*n**3 - 22*n**3 - n**2)*(-5 - 2 + 1).\nAnswer: 6*n**3 + 66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 18*x - 10*x - 4*x + 24 = 0, 4*x = -3*p + 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 5 (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 3*n + 2, 3*n + 2*u + 4 = 0. Let w = 4 - n. Solve w*d - 15 - 1 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -1258?\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by -6.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from {c: 5, q: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18423*c**5 - 7520*c wrt c?\nAnswer: -368460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 5*g**3 + 3*g**3 + 0*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 42 = -4*m + 2*q, 0 = -4*m - q + 40. Suppose 0 = f + 2*f - 12. What is the greatest common divisor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 2\/13*q**2 + 1\/78*q**4 + 26 - q - 1\/13*q**3. Factor p(v).\nAnswer: 2*(v - 2)*(v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4595504 - 4708*r + 4595504)*(3*r - 2*r + r - 1) to c + u*r**2 + v*r and give u.\nAnswer: -9416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n*y**2*z**3 - 25*n*y*z - 7*n*z**3 - 2*n - 51*y**2*z**3 + y**2*z**2 - 8*y**2 wrt z.\nAnswer: -18*n*y**2 - 42*n - 306*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1011142 + 5?\nAnswer: 1011151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/275)\/((-60)\/200)*44\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 11067.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 3, k: 1, m: 1, n: 1}. Give prob of picking 1 w and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxhxhxhbqxqqbxxx. Give prob of picking 2 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:52 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -135*x**5\/4 - 479*x**2\/2 - 15*x + 15. Differentiate p(m) with respect to m.\nAnswer: -2025*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 - 218. Factor -7*q**5 - 105*q**3 + 60*q**x + 113*q**2 + 2*q**5 - 63*q**2.\nAnswer: -5*q**2*(q - 10)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243450799649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 8:22 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1666) + (2*(-5*sqrt(1666) - sqrt(1666)) + sqrt(1666) - sqrt(1666)))\/(sqrt(22)\/((sqrt(121)*-2 - sqrt(121))\/sqrt(11))).\nAnswer: 231*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-45 - -38) + 53.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 r when three letters picked without replacement from {x: 1, a: 4, k: 1, g: 3, r: 5, z: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvfv when four letters picked without replacement from vvvvfvvv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1046 - -3371\nAnswer: 4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqtq when four letters picked without replacement from {t: 7, q: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22209011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkrk when four letters picked without replacement from kwrkrwkkkkkkrwkwr?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1001.1 + 0.\nAnswer: 1001.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**4*p - 2*f**4 - 24*f**3*p - 154*f**3 + 1504*f**2*p + 16*f**2 wrt f?\nAnswer: -48*f*p - 48*f - 144*p - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 329606*a - 329553*a + 3233 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 73 = 71. Let q(l) = 5*l - o + 2*l + 29 - l. Let c(w) = 1. Let n(u) = u + 5. Let p(t) = -6*c(t) + n(t). Determine 5*p(m) - q(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*w - 985 + 790 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2. Let n = 1 + -1. Let a be s(n). Let p = -145 - -146. Solve -a*y + p = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - y**3 - 6*y**4 - 6*y**4 + 10*y**4 + 9*y**2 in the form q + a*y**2 + b*y + u*y**3 + d*y**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 6 + 2*u + 323*u**4 - 8 - 15*u**3 - 334*u**4 + 205*u**4 + 8*u**3 in the form o*u**4 + t*u + x*u**2 + m*u**3 + r and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/12*6 + (6 - -6) + -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 4405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 28 = -k, 0 = -0*k + 3*k - p + 84. Let v = -25 - k. What is the second derivative of 4*c**3 + 5 - 5 - 3*c - 14*c**v wrt c?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*g**6 + 3281*g**2 - 755*g**2 + 314*g**3 - 2*g**5 - 314*g**3 wrt g?\nAnswer: -7080*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-189)*-35 + (-2 - 4\/(-3))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 224887 or 224910?\nAnswer: 224910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/4 + 3*b**3 - 51*b**2\/4 + 22*b - 12.\nAnswer: -(b - 4)**2*(b - 3)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26761 and 658.\nAnswer: 2515534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*v + 1 - 3*v + 0*v + v + (1 + 2*v - 1)*(3 + 2 - 6) + 6 - 6 + 3*v + 0*v - v + 0*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 41. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 - 28*d**2 - 2*d - 44. Determine u(-5).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -458*c**2 - 385*c**2 + 2*c + 1320*c**2 - 328*c**2 + 19*c**3 to the form s*c + j*c**3 + o*c**2 + d and give o.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:48 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**2 - 3*v**2 - 3*v**2)*(1 - 2 + 0) - 1378*v**2 - 1369*v**2 + 2737*v**2 in the form i*v + o*v**2 + k and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -4 + 24\/2. Let y = g + -49. What is the units digit of (-8)\/y + (-14)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**6\/15 - 16*w**5\/25 - 8*w**4\/5 - 4*w**3\/15 + 17*w**2\/5 + 4*w - 147. Suppose s(l) = 0. Calculate l.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1042, 2085, 3128, 4171, 5214?\nAnswer: 6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 61636313?\nAnswer: -61636316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 27 = -23*b. What is the smallest value in -3, b, 1\/7, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c*z**5 - 3*c*z**3 - 54435*c*z**2 - 21*z**6 wrt z?\nAnswer: 600*c*z**2 - 18*c - 2520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 3*v - 3. Let o be 15\/4 + 8\/32. What is r(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 4*c - 16, -948*t = -952*t + 10*c + 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - 0) + (-13 - (-16 + (47 - 17 - 18)))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3241231 - 30111?\nAnswer: 3211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3858*h = -3875*h + 187 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u + 141*u - 11*u + 98*u.\nAnswer: 170*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43990 and 1220100.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(((-20)\/25)\/(2\/20)). Let s = -3 - 0. Let w = 4.7 + -5. Sort s, n, w in increasing order.\nAnswer: s, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/4))**(1\/2)\/((m\/(m\/(m**(-21)\/m)*m))\/m**33) assuming m is positive.\nAnswer: m**(441\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -40958\/5 at least as big as -8193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -21*k**5\/20 - 5*k**4\/8 + 5*k**3\/2 + 86*k**2 + 2. Let i(g) = 31*g**2 + 7*g - 7. What is 6*d(y) + 13*i(y)?\nAnswer: 25*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*w = -20, -5*w + 22 = -k - 8. Let r(m) be the third derivative of -13*m**4\/12 + 2*m**3 + m**2. Is r(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*l**2*p**4 + 103*l**2*p**3 + l**2*p**2 - 363776*l**2 - 2*l*p**3 + 2*l*p wrt p?\nAnswer: 2136*l**2*p + 618*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100110110 (base 2) to base 5.\nAnswer: 24341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(119)\/(sqrt(175)*2)*-4 + sqrt(17)*3*2 + (sqrt(17) - sqrt(153)*-3))*-3)**2.\nAnswer: -1404*sqrt(17)\/5 + 931077\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a minute in seconds?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.15 (b) 0 (c) 0.072 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 4 = 46. Suppose -p*f + 45 = -2*f. What is the second biggest value in f, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.4*0.093\nAnswer: -0.7812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98291 is divided by 49038?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 not equal to 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/18 and -83\/6262.\nAnswer: 56358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + 4*k)*(0*k - 3*k + 4*k)*(57*k**3 - k**3 + 9*k**3).\nAnswer: -130*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2 - 3, 3*l + 199 = 2*o. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1028960.40311543 - 1029721.40312. Let w = q + 761. What is w rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 8*t - 248. Let l(a) = -a**2 + 13*a + 2. Let q be l(13). Suppose f + i = -q*f + 97, 4*i - 150 = -5*f. What is the remainder when t is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4560495?\nAnswer: 3, 5, 304033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 85103*b - 2382882. Give c(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 60*u**2 + 6.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 1119185\nAnswer: -78342.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*x + 21 = 0, -4*x = 7*n - 3*n + 4. Suppose -n*t + 17 = -47. Let q = t + -5. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38997 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146 - -141.99. Let n = u + -0.29. Let i = n - -4. Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2078 to the nearest ten.\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 655181 to the power of 1\/2, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - g**2. Let o be m(1). Let u = -3 - o. Let f(x) = 13*x**3 - 3*x**2 + 4*x. Let a be f(u). What is a rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*5*(sqrt(11) + 1) + -5 + (sqrt(176) + 4 + -3 - 5*sqrt(66)\/(sqrt(12)\/sqrt(2))).\nAnswer: -6*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(9\/(-210)*-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/((-5760)\/(-150))*(-4)\/10*51.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174 - 152) + (-13 - (0 + 0)) + -104 + -4?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 - 17*f**3\/8 - f**2.\nAnswer: -f**2*(f + 8)*(2*f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w + 5*h + 4, -5 = -3*w - 2*h. Let j = -6 - -8. Find the second derivative of -w*u**j - 6*u**2 + 5*u**2 + 2*u wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2120 and 3580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 6*o + 4*t, -2*o + 5*o - 1485276*t = -1485274*t + 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25018841748 + -0.04\nAnswer: -25018841748.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -c - v, -44 + 47 = 4*c - 5*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k = b - 26, k - 22 = -3*b. Suppose k*g + 25 = 165. What is the tens digit of 79 + (25\/g - 2\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - ((-17752)\/(-2))\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/2)*o)\/(o*o**10*o)*o*o**(-1\/2)*o*o*o**(-3\/4)*o assuming o is positive.\nAnswer: o**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 (base 7) in base 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -4048392\nAnswer: 161935.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 - o**2 + 31*o + 1. Let y(p) = -16*p**3 + 149*p**2 - 155*p - 5629. Let c(b) = 5*m(b) + y(b). Differentiate c(v) wrt v.\nAnswer: -93*v**2 + 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 242\/(-1089)*35343\/(-2380).\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/5 (b) 9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5 - ((-147)\/(-35) + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) + sqrt(240)*-2 - sqrt(15))\/(-1*sqrt(75) - sqrt(75))*3.\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 7*l - 4. Let a be o(6). Let p(u) = 4 + 7*u - 2 - a - 1. Calculate p(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 312.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(156) - sqrt(156) - sqrt(156))*-4)\/(sqrt(12) + sqrt(48)\/sqrt(196)).\nAnswer: -21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2424912*g**3 - 7*g + 3665 wrt g?\nAnswer: -14549472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2*-4 + sqrt(68) + sqrt(68) + 0 + sqrt(34)\/(sqrt(4)\/sqrt(2)))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -16\/47 (b) 8 (c) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27529.467 milliseconds in minutes?\nAnswer: 0.45882445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 37400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35817537611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlc when three letters picked without replacement from {j: 3, c: 1, l: 4, e: 2, r: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 651*n + 6 + 99*n**2 - 417*n + 24*n**3 - 135. Let x(m) = -m**3 - m**2 + m - 1. Let l(a) = -w(a) - 18*x(a). Factor l(d).\nAnswer: -3*(d + 7)**2*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1848 and 30492.\nAnswer: 60984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 7, -190 in descending order.\nAnswer: 7, 0, -2, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*i + 4*i, 3*i = -4*u + 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/288*-40*(-3)\/15*24\/(-232)?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k. Let m be k\/(-2) + (-7)\/14. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 6*c = -70. Does 7 divide (c\/(-3))\/((-4)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 9*r**2 + 9*r. Give v(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 45*p**2 + 73*p + 39. What are the prime factors of y(44)?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3144395.3 to the nearest ten thousand.\nAnswer: -3140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3950009133.\nAnswer: 3, 7, 7013, 26821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9740.124 months to millennia.\nAnswer: 0.811677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:23 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1636 + 16233. What are the prime factors of u?\nAnswer: 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-28))\/((-30)\/21). Sort 4\/5, 3\/7, a, -3 in decreasing order.\nAnswer: 4\/5, 3\/7, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 12. Let l(d) = 3*d + 9. Let w(c) = 3*l(c) + 2*x(c). Let y(n) = 5*n + 3. Let b(p) = p - 1. Let u(o) = 2*b(o) - y(o). What is 4*u(z) + 7*w(z)?\nAnswer: -5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12\/11 (b) -0.07 (c) -0.2 (d) 1\/3 (e) 193 (f) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -4306 and 0.5.\nAnswer: -4305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {h: 3, j: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = q + 2, -5*q + 15 = -2*w. Let f = 5 - q. Suppose -f*i + 22 + 2 = 0. Solve 4*d + 1 = t - i*t, -2*t + 6 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + (0 - 3)) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) - (-6)\/132*62. Suppose 0 = 3*g + b - 21. Suppose -849 = -9*u + g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:05 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1452 - -11341032?\nAnswer: 11342524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {v: 1, g: 8, b: 6}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -74.3. Let j = -7 + 10. Which is the closest to j? (a) -0.5 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*z - 36, 7*z - 2*z - 33 = n. Let f = -9 - n. Suppose -4*a = y - f, 3 = a - y - 3. Solve r + 5*h + 18 = 0, -a*r - 3*h = 18 - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 36. Let v be p(-11). Let m be 0\/(2*1) + 16. Suppose 0 = -26*d + 269 - 87. Solve d*k + m = v*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -643 - -464. Let p = x + 330. What is the remainder when p is divided by 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -928400330 to the nearest one million.\nAnswer: -928000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309, -3, -27778 in decreasing order.\nAnswer: 309, -3, -27778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8\/p)\/p**(-1\/9) assuming p is positive.\nAnswer: p**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*c + 2*c - 12, 0 = 2*s - 4*c - 14. Let w(g) = g**3 + 5*g + 112 - 2*g**3 + g**2 - 114. Calculate w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1\/2 (c) -3\/4 (d) -2\/7 (e) 0.1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 9*z - 1. Let h be g(-9). Let b(j) = -29*j**3 + 2*j + 1. Is b(h) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*p - 5, 59 - 55 = -j - 2*p. Suppose -12 = -6*d + 2*d. Solve -d*y - u - 2 = 0, -j*u + u + 30 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {d: 2, e: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 1. Let f(w) = -6*w - 6. Let g = 58 + -54. Determine g*a(o) + f(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 23*a - 12. Let p be j(-22). Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3 + 3*b**2 - 52*b - 91. Let j be h(11). What is j rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6057 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 + (-133)\/(-42). Let k(a) = -2*a + 5*a - x*a - 4*a**2. Let z(w) = -2*w**2. What is k(z(j))?\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-10))\/(17\/(-119)*-14).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, and 1 n when three letters picked without replacement from {e: 2, n: 1, i: 1, v: 1, l: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 82 = -74. Let g(i) = 1 - 4 - i - 1. Let b be g(w). Is b < 2\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) + (-80)\/70. Which is bigger: v or -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from oyyhi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -941 + 30*a + 12*a**4 + 941 wrt a.\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.95 + 0.05. Let t = 123 - 133. Are t and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 15. Let j(p) = -2*p + 28. Let q be j(11). Let f be m(q). What is the units digit of 4\/(-4) + (-2 - f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 17 - 13, 0 = -4*v + 3*v + 3*r - 43 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 4*h + 3. Let s be r(-4). Suppose 3*w - 35 = -5*k, k + s*k + w - 35 = 0. What is the remainder when 18 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 985 and 13987?\nAnswer: 69935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2245712075 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209353706732 take away 1?\nAnswer: -0.790646293268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9571877 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 136 (b) 2 (c) -14 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*w**3 - 60*w**3 - 94*w**4 + 123*w**3)*(18 + 7 - 41 - 3 - 2 + 6 + (-2 - 1 + 1)*(-2 + 3 - 2)).\nAnswer: 1222*w**4 + 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -d5 (base 14) to base 8\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u**3 + u**2 - 5*u + 4. What is the remainder when h(1) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -4)*3\/2. Find the common denominator of -7\/12 and (2 - m) + (-122)\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.23392 (b) -18\/5 (c) -1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4646 and 0.4.\nAnswer: -0.0646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516309839 to the nearest integer?\nAnswer: 22722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i + 368 = 776 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5739, -11535, -17331, -23127?\n\"Answer: -5796*o + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.446 rounded to 1 dp?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 422131477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 28908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 526, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*o - 13*o + 6 - 38*o + 4*o - 72*o to the form w + n*o and give n.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(sqrt(91) + (sqrt(91) - sqrt(91)*-2)))\/sqrt(7) + 0)**2.\nAnswer: 31200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/288*9*20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -2*h**4\/3 - 2*h. Let s(l) = -247 - l + 247 - l. Determine s(q(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5700*b*y**2 + 5936*y**2 wrt b?\nAnswer: -5700*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 - 8*u - 3. Suppose -84 = 23*v - 2*v. Give q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 967, 929, 867, 781, 671, 537, 379?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**4 + 1. Let r(i) = 35*i**4 - i**3 + 49*i - 1. Let l(d) = -b(d) - r(d). Find the second derivative of l(k) wrt k.\nAnswer: -408*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102202 + 12?\nAnswer: -1102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 = -2*r + 5*r, 15 = -5*i. Suppose 0 = 3*g - u + 3*u - 70, 68 = r*g - 4*u. Which is bigger: g or 25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 150. Calculate the lowest common multiple of g and 46.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*w - 36 = 0, -5*w - 3055 + 2999 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*z**4)*(-70 + 141 - 67)*(-3 + 2 + 2) to n*z + v + h*z**4 + y*z**3 + f*z**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 0*y + 2*y - 2*y - 7. Let a be q(6). Determine u, given that -90\/7*u**3 - 8*u**4 + 8*u**2 - 8\/7*u + 0 + 14*u**a = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 71, 222, 433, 704?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-14) + 194157\/567. Calculate the highest common factor of s and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30 (b) 5\/11 (c) -131133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + 5555\/(-2925). Let i = k - -14\/13. Suppose 0 - 4 = 4*j. Which is bigger: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 2. Suppose 2*q = -2*q. Let k(n) = -5 - 2 + 3*n + q*n + 2. What is -10*j(r) - 4*k(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-588)\/(-15))\/(56444\/(-56660) + 1). Let c = g + -10284. Calculate the common denominator of -13\/15 and c.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125545?\nAnswer: 5, 225109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 16*r. Solve -x + 0*x - 1 = r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06480602 rounded to four dps?\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10842 + -988?\nAnswer: 9854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**4\/4 - 32*g**2. Let h(a) = 7*a**2. Give r(h(o)).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5 + k**3 - 72*k**2 - 749*k?\nAnswer: 20*k**3 + 6*k - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-24)*u*u)*u)\/u**4 assuming u is positive.\nAnswer: u**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*sqrt(336)\/sqrt(3) + (4 + sqrt(7))*3*4).\nAnswer: -20*sqrt(7) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + w**2)*(-44 + 57*w - 4339 - 59*w) in the form x*w + d*w**3 + z + g*w**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 26*k - 101. Suppose 333 - 453 = 8*y. Calculate the remainder when 234 is divided by r(y).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.2. Let r = -0.7 + q. Let k = -24 + 24.1. What is the closest to k in -0.2, r, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -796 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 not equal to -9155632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*v - 544, 17 - 9 = -2*v. Suppose -4*n + 88 = 28. What is the remainder when u is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6387112 is divided by 1178?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 55 = 3*r - 65, 2*n = -3*r + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4 - 125*d**3 + 150*d**2 + 500*d - 520 = 0.\nAnswer: -26, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11862 + 83032\/7. Which is the biggest value? (a) -1\/4 (b) -5 (c) -0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 4*f + 12. Let p be t(5). Suppose -p*c - c + 10776 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:20 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1717, -6856, -15421, -27412, -42829?\n\"Answer: -1713*d**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -1 - (-6)\/(-3). Let a(g) = -g**3 + 6*g**2 - 4*g + 27. Let s be a(6). Let k(h) = 2*h**2 - 10*h + 19*h + s - 5 - 1 - 8*h. Give k(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218206250 by -6250.\nAnswer: 34913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Let y be l(7). Let n = -3 - y. Let a(r) = -r + 1. Let g be a(-11). Solve -g = -2*p + n*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5761768537 to the power of 1\/3, to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631290796.\nAnswer: 2, 59, 2674961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 16. Let y(o) = -o + 1. Let v(g) = 13*g - 458. Let z be v(34). Determine z*y(a) - p(a).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 459\/7? (a) 1\/6 (b) -2\/5 (c) -3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 178. Let r = s + -234. Is (-1)\/(-5) - r\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 11}. What is prob of sequence wbb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -77\/20 (b) -0.7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - s + 12 = 6*w, 8 = 2*w + 3*s. Let r = 29 - 28.7. Let y = -0.1 - -0.1. What is the biggest value in y, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 5, 1, 0.14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 17*u**2 + 1626*u + 1054. Determine n(-95).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -280, -120, -5 in descending order.\nAnswer: 4, 1, -5, -120, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.8 + 44. What is the third smallest value in z, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277694 greater than -277695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11726 or 16.2?\nAnswer: -11726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1173.\nAnswer: -4\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*3\/(-1). Let h(b) = -4 + x - 2. Let n(p) = -p - 9. Give 5*h(l) - 2*n(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 24*c = -1470. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 631 or 630?\nAnswer: 631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 29. Suppose 0*z + 26 = 2*h + g*z, -2*h + 18 = 2*z. Solve -4*f - 4*a + 8 = 0, -h*f + 5*a - 19 - 21 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -10. Let j = 31 - n. Suppose -5 - 3 = j*s. Sort -3, s, -1, 5.\nAnswer: -3, s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -1\/6*o**2 - 1\/12*o**4 - 2\/9*o**3 + 0*o - 4. Determine d so that u(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 16*v**2 + 33*v - 14. Determine d(14).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 17\/6*u**3 - 7\/15*u**6 + 0*u**2 + 0*u**5 + 0*u**4 + 0 + 18*u. What is the second derivative of i(p) wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/34?\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 4*h**2 + 6*h + 6. Let a be m(-5). Let z be a*6*18\/27. What are the prime factors of (-2 + 5)*(z - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(48) - sqrt(5)) + (sqrt(720)*-2)**2.\nAnswer: -sqrt(5)\/2 + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*w**4 - 4509*w**2 wrt w.\nAnswer: -2328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 6*r + 2. Let p be 6 - 0\/(-2 + 3). Let c be y(p). Suppose 18 = -c*m + 80. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0077092539 rounded to 4 decimal places?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*o - 7, -o - u = -0*u + 1. Let n be o*(0 - 1)*-5. Suppose -44 = b - n*b. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -775088, -775371, -775842, -776501, -777348, -778383, -779606?\n\"Answer: -94*p**2 - p - 774993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11001110111 (base 2) to base 12\nAnswer: b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 15 = -6*l. Suppose -l*d + 124 = -164. Does 8 divide (d\/18)\/((-2)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ccb8 (base 15) to base 10.\nAnswer: -93998","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**3 - 6*a**2 + 4*a + 17. Determine r(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 36*r**2 + 9*r. Let f(p) = 9*p**2 + 2*p. Determine -9*f(x) + 2*g(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 4*u + 5. Let g be s(-5). Let m be (-4)\/2*817\/(-14). Let p = -117 + m. Which is the second biggest value? (a) g (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 2. Let y(s) = s. Let u be 4\/(-6)*30\/(-4). Calculate u*y(h) - z(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12258577\/378 - -32430. Find the common denominator of 25\/21 and p.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -7*s - 70. Suppose 5*p = 3*g + s, -4*g + p - 10 = -7*g. What is the derivative of 2 - 4 - g*l - 1 wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/25, -14 in ascending order.\nAnswer: -14, -1\/25, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 - 51099*i**3 - 306675*i**2 - 460041*i - 204468 = 0.\nAnswer: -4, -1, 17039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 7. Let w be o(-3). Let r = w + -13. Suppose 3*h + 32 = 5*v + 114, r*h - 3*v = 72. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102, 264, 426, 588?\n\"Answer: 162*g - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*h - 1. Let k = 8 - h. Is (-26)\/1*k\/(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*p + 1041*p - 89*p + 164*p.\nAnswer: 1070*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14328?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-447)\/(-5364))\/((-1)\/(-3)) + 39\/(-12) - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 5112.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-5))\/((-240)\/(-75)). Which is smaller: 2\/15 or m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6 and -29\/275575?\nAnswer: 1653450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 52, -4 in descending order.\nAnswer: 52, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -27*p + 22. Suppose 387 = -28*a + 51. What are the prime factors of b(a)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 60541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/3734231?\nAnswer: -2\/3734231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 337 - 241. Let z = 184 - a. Let u be (1*(-8)\/56)\/(5\/(-175)) + 3. What is the greatest common divisor of u and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 581778 - -0.02\nAnswer: 581778.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.2, 292, -1\/2, 0.2 in decreasing order.\nAnswer: 292, 0.2, -1\/2, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssqqssssssssqsqsss. Give prob of picking 2 q and 1 s.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgunuququogrqg. Give prob of picking 1 n and 2 g.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -195 in 96, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*t - 56404 = 0, 4*t = 7*t + 9. Suppose -5*l - 4*f = -14087, -9*l = -13*l + 3*f + u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -626 + 317 - 5*k + 309. Let g(w) = -24*w - 3. Calculate g(f(h)).\nAnswer: 120*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 + 3 = 0. Let c be 1\/1 + (1 - 1). Suppose 2*y + c = -5. Sort 2, h, y in decreasing order.\nAnswer: h, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 7*l**2 + 7*l - 5. Let f be q(6). Let v be (-4)\/(-2) + (-22 - f). Let x = v + 30. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 - 134422?\nAnswer: -134532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7711121, -15422249, -23133377?\nAnswer: -30844505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 837, 1669, 2499, 3327, 4153, 4977?\n\"Answer: -f**2 + 835*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -95*v - 1185. Give y(-13).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -42. Let u = x - -58. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -2\/19 (c) 38\/93 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -183381501672353 plus 2?\nAnswer: -183381501672351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2513*(28\/(-154) + (-163258)\/(-888360)). Let l = 2\/10095 - s. What is the common denominator of l and (-1)\/6 + (-1495)\/(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2075 divide 684482488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5 - 2211*d**4 + 2181*d**3 + 19839*d**2 + 24276*d + 8832 = 0.\nAnswer: -1, 4, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:25 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/738 and (136\/48 - 6)\/(164\/(-6)).\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9555658, 19111310, 28666960, 38222608?\nAnswer: 47778254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25553696 is divided by 63.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73418140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 10) + 0 + 6 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4063 (base 8) to base 12.\nAnswer: -126b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360123571.\nAnswer: 15061, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163555.61 rounded to the nearest 100?\nAnswer: 4163600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -234036.44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 281?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-18)*(-17)\/((-1071)\/270)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -550.6593 and -7.23.\nAnswer: -557.8893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 - 36*n**2 - 670*n?\nAnswer: -40*n**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 90 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4 and 335\/(-2)*3\/195.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6155238 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + q - 10 - 19 + 2 as r*q + n and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 649130 and -0.1?\nAnswer: -64913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -0.5 (c) 3 (d) 0.5 (e) 22 (f) 120\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2251179107 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.6. Let t = n - 3.2. Let f = -81\/10 + 17\/2. Which is the closest to -0.1? (a) t (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 5*u = -11*x - 13, x + 3*u + 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -2. Let c(l) = l**3 + 6*l**2 - l - 6. Let d(p) = -p**3 - 7*p**2 - 6. Let o be d(-7). Let u be c(o). Put s, u, 1 in ascending order.\nAnswer: u, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/18 + 1\/(-3). Let p(j) = j**2 + 3*j - 3. Let u be p(2). Let y(v) = -4 - v**2 + 6*v**3 - u*v**3 - v**2. Give y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 at least 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -244 + 246. Suppose -8*i + 7*i = -2*y + 2396, 2392 = o*y - 2*i. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 20 = -11*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 396 = 5*a. Let d = 228 - 203. What is the remainder when a is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -4*k + 2*l, -l + 80 = -4*k - 2*l. Does 9 divide 108\/(-10)*k\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-812)\/4698*(-3)\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1025a + -54?\nAnswer: 10206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 427 - 119. Let q = -275 + m. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:24 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01341995 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + -6. Let u = y + 65. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -38 in increasing order.\nAnswer: -38, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7730 is divided by 1899?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 597 and 771324?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Let k(c) = 5*c - 2*c - 2*c - a*c. Let j(w) = 3*w. What is k(j(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1179 by -4.\nAnswer: 1179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -265040 divided by -226\nAnswer: 132520\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 99*b = 282. Put -3\/7, -1\/5, b, 0.022 in ascending order.\nAnswer: -3\/7, -1\/5, 0.022, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 31 - -18 - 3) + 26\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**2 - 36*o + 6. Calculate m(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - 58. Suppose 4*c - 152 = 4*t - 0*t, 0 = -2*c - 4*t + p. Let i = -340 - -366. What is the greatest common divisor of i and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -6 + (4 - 1). Let t(o) = o + 3. Let g(u) = u**2 - 4*u + 1. Let a be g(2). Let p be t(a). Solve p = -r - d*n - n + 5, 3*n - 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 5207*d - 5207*d - 4.\nAnswer: -6*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(25\/(-2)) + 34\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:07 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-60)*8\/14\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.54, -0.4, -2, -5?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-12)\/27*9\/30\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 76 - 79 - (-4 - (-1 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 + -133. Suppose -c = -i*c + 36. What is the greatest common divisor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w**2 - 2*w - 3*w + 5. Let k be r(-5). Suppose m = s - k, 0*m + m = -4. Calculate the smallest common multiple of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179975250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/10)*j**(-3))**(12\/13))**31 assuming j is positive.\nAnswer: j**(-6138\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 382*a**3 - 3*a**2 + 2*a + 1 + 2 - 4*a**2 - 381*a**3 - 4 to i*a**2 + o*a + j + m*a**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 55, 185, 403, 715, 1127, 1645, 2275?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687141.9 centuries to decades.\nAnswer: 6871419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -385?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.09 (c) 80 (d) 4013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 + -2. Let q = -13 + 12. Which is the nearest to q? (a) 0.3 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31512 + -0.11512. Which is the closest to 3650? (a) y (b) 0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - -24333?\nAnswer: 24200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 171.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19999*h - 5. Let p = -25 + 20. Let c be y(p). Round c to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**5 - 91*q**4 - 11*q**2 - 2*q - 410?\nAnswer: 40*q**3 - 1092*q**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -20*n. Let b(m) be the second derivative of m**4\/12 - 17*m. Determine b(l(v)).\nAnswer: 400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*u - 24, u + 6*f = f + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a631 (base 11) to base 3\nAnswer: -201022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (289\/132 + -2)\/(-3) and (-96)\/84 + (-5916)\/336.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 0 - 1)\/2. Let b = 0.11 + -1.11. Let j = -0.2 + 0.1. What is the second biggest value in d, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52 - 14\/3*b**2 + 194\/3*b.\nAnswer: -2*(b - 13)*(7*b - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17272496?\nAnswer: -1\/8636248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - a**3 - 3*a**2\/2 + 7*a. Let l be r(-4). Suppose 2*q = 7*q - l. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -284, -595, -1040, -1625, -2356, -3239, -4280?\nAnswer: -5485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 5*w - 54. What is the units digit of i(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z - 14. Let b be l(-3). Let j = b + 61. Let c = 12\/5 + -29\/10. What is the nearest to -2\/3 in j, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1801 equal to -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 2*g - 1. Give c(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -20 + 17. Let 0*k**q - 12*k**2 + 0*k + 3\/2*k**4 + 24 = 0. Calculate k.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 = -7. Suppose 0 = -z*t - t. Is 23 a factor of (t - -94) + (2 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -220.5\nAnswer: -110.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (111 - 125) + -2 + 1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -74.15 and 5.\nAnswer: -69.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.4, -2\/9, 8\/87?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 243659335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 864.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r + 220*r + 193*r = 437*r - 505 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4310414012 (base 5) to base 9\nAnswer: 18063101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Suppose l + i = -1. What are the prime factors of 16\/((-4)\/8 - l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/5)\/(17\/(-85)). Let v = -3 + y. Suppose -3*s + 13 - v = 0. Put 5, 0, s in increasing order.\nAnswer: 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -4. Let q = -0.03893 + 5.03893. What is the nearest to -1.5 in q, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*i)*(35*i**3 - 35*i**3 + 60*i**4) + (3*i - i - 4*i)*(-2*i**4 + 4*i**2 - 8*i**2 + 2*i**2).\nAnswer: 124*i**5 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269042.58 months to years.\nAnswer: 22420.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3597 and 2211?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-13 - -10 - (-16 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434.31 less than 0.05?\nAnswer: -4434.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/11 - 10994*y**2\/11 + 10418764*y\/11 + 1898320 = 0 for y.\nAnswer: -2, 1220, 4279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 2 c when four letters picked without replacement from {m: 1, c: 3, b: 3, x: 1, t: 1, w: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o - 263. Let v be r(-24). Is 26 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggzzggggg. Give prob of sequence gg.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 19 - (-248 - -218)) + 18?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 654.03 and -0.37.\nAnswer: -241.9911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3567*q**2 + 624231*q + 1050.\nAnswer: 3*(q + 175)*(1189*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -18 + (2 - (-1 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 1 + 5*s + 5*s - 6*s. Let a be y(-4). Sort 4, a, 3 in decreasing order.\nAnswer: 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:02 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 298 + 295 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 6*a**2 + 2*a - 8. Let r be c(6). Suppose r = -3*s + s. List the prime factors of (s\/(-4))\/((-1)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113331 (base 4) to base 2\nAnswer: 10111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000629006 rounded to 6 decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y. Solve -3*g + 5 = -4*g, y = 2*d + 4*g + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w*y - 92*w + 3424342*y + 48962 wrt y?\nAnswer: 2*w + 3424342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*a - 59. Suppose a = 4*m + 2*r + 40, 0 = 4*m - r + 11. Suppose 0*k = -3*k - k. Put m, k, -5 in increasing order.\nAnswer: -5, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3896 - 1676. Suppose -221 = -2*u - 5*z + 65, u - 150 = z. Calculate the highest common divisor of s and u.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 33 = 4*d - 93, 2*h = -d + 99. Suppose -11*x + 94 = -5. Suppose 12*l - x*l - h = 0. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z + 2. Let j(g) = 463 - 462 + 4*g**3 + g - 3*g**3. Let t be (-2 + 0)*1*-3. Suppose 2*q = 2*l + t, q + 13 = -4*l + 6*q. Give l*j(p) + o(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 25*z**2 - 30*z.\nAnswer: -5*z*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 8*l + 2. Let k be a(8). Let y be (-3)\/3 + 6\/k. Suppose y*z - 2 = 0, -7 = -2*g - 3*z + 2*z. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 132*d - 19. Let u(b) = -b + 7. What is 2*u(m) + z(m)?\nAnswer: -m**2 + 130*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1815844967 - 6793.\nAnswer: -1815851760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -14. What is the third derivative of 8*a**5 - a**5 + 7*a - 20*a**v + a**6 + 24*a**2 wrt a?\nAnswer: 120*a**3 + 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 10*g**2 - 12*g + 2. What is a(8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/6178 and -56\/15445.\nAnswer: 30890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1917 rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x + 41*x - 35*x + 34*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/42 + (-900)\/(-14). What is the greatest common factor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/111 or -12.39?\nAnswer: -12.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -y - 2*k, 209*y + 204*y - 408*y - 3*k = -110 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 277, 656, 1201, 1924, 2837?\nAnswer: 3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1210 + 44?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26201\/8 smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*l + 9*l + 2*l as g + b*l and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 35 = -5*p. Let c be ((-6)\/(-3))\/(p\/(-38)). What are the prime factors of (1 + c)\/(6\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2214 and 44172.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s - 117. Determine v(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 + -107. Solve -4*z + z - f = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 22, 50, 90, 142?\n\"Answer: 6*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n - 16 + 76 - 37 - 23.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Let o(w) = 2*w**3 + 4*w**2 + 2*w - 6. Let k(d) = -3*d**3 - 4*d**2 - 2*d + 7. Let z(v) = l*o(v) + 3*k(v). Let h = 4 + -2. What is z(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-4))\/(((-6)\/(-36))\/1). Let t = 17335 + -381303\/22. What is the common denominator of (-30)\/(-88)*d\/9 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94178 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: Differentiate c**2*l**2 - 3420*c**2 + 584*c*l**2 wrt l.\nAnswer: 2*c**2*l + 1168*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ca27 (base 14) in base 15?\nAnswer: -473d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*l + l + 33 = 0, -3*w - 3*l + 21 = 0. Let u(t) = 3*t**3 - 3*t**2 + t - 2. Let m be u(2). Solve 4*i + m = 4*f, -f = w*i + f + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w + 4*p - 61 = 0, 3*p = -w + 21. Calculate the remainder when w is divided by ((-2)\/3)\/((-18)\/135).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwk when three letters picked without replacement from {q: 1, k: 1, p: 1, w: 6}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/490 and 61\/12964.\nAnswer: 453740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -33424.4935 rounded to the nearest one hundred?\nAnswer: -33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*b + 46 = 1344 - 26 + 360 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1530*w = -5*i - 3052*w + 1525*w - 10, 3*i = w - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -18 - 2*m**3 - 2*m**2 + m**3 + 14*m**2 - 5*m - 3*m**2. What is the tens digit of n(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4655*a - 135001. Determine b(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4468 times -0.04?\nAnswer: 178.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 + 880 = 28*k - 164*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = -3*w, -r - 4 = -w. Suppose -5*k - 20 = r, 5*p - 5*k + 24 = -31. Let u be (12\/(-105))\/(6\/p). Put -4, u, -0.4 in descending order.\nAnswer: u, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (290420\/1117)\/((-8)\/(-2)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -205*i**8\/168 + 16*i**5\/5 - 220*i**2. Find the third derivative of h(v) wrt v.\nAnswer: -24600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(-9))*v*v*v)\/(v*v*v\/(v\/(v*v*v*v\/v**(1\/6)*v*v*v)*v)))**(4\/15) assuming v is positive.\nAnswer: v**(-154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or -0.4?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 25*j**3 + 2. Let m be q(-2). Let k be (-2)\/7 + m\/42. Let t = k - -7. Is t > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.354 - 12.71. Round o to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 17. Which is the closest to 2\/3? (a) 13 (b) 3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112533 is divided by 2358?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/30)\/(-10*18\/810).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28379 * 0.2.\nAnswer: -5675.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 20*c**3 - 4*c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*v - 134*v = -132*v + 14080 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + d**3 + 4*d**2 + (3 - 3 - 2*d**2)*(-17 + 17 + 9*d).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from surrurur?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3960*q**2 + 247 - 718 + 242 - 2414*q**2 + 232)*(0 + 0 + 2*q) as g*q + x + h*q**3 + f*q**2 and give h.\nAnswer: -12748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 847628600 to the power of 1\/2, to the nearest integer?\nAnswer: 29114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271354 to the power of 1\/2, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h = -42*h + 3*y + 66, 5*h + y - 73 = 0. Which is bigger: 698\/45 or h?\nAnswer: 698\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2945, 2931, 2915, 2903, 2901, 2915?\nAnswer: 2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.58? (a) -0.033 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15*y**2 - 5*y + 5. Determine l(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 4720928?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-6))\/(8745\/4770)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**2 - 1773*j + 25038. What is u(-309)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13.968 * -2170\nAnswer: -30310.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-10)*(-1 - -6). Let j be s\/(-14) + 204\/119. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 65 + -4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**2 - 2*w - 3. What is the units digit of y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(16\/3)))*(j*j**(-12)*j*j)\/j*j)\/((j\/(j**(-37)\/j))\/j**0) assuming j is positive.\nAnswer: j**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2189*f = -9*h - 2194*f + 64, -5*f + 28 = 3*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29406*f + 29523*f - 702 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928384 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 9917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/41, 4\/5, 0.0508, 2\/3, -0.4 in descending order.\nAnswer: 4\/5, 2\/3, 0.0508, 2\/41, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5 - 12*n**4 - 196*n**3\/9 - 32*n**2\/3 + 22*n\/9 + 4\/3 = 0.\nAnswer: -3, -2, -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 197. Let x = h - 72. Let j be 1 + 1 - (-11)\/(x\/650). What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s*u**3 + 513*s*u**2 - 3*s - 453*u**3 wrt u.\nAnswer: 18*s - 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**4\/24 + p**3\/3 - 5*p**2. Suppose -23 = -4*c + 5*y, 3*c - 3 = -3*y - 6. Calculate j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44169475 a multiple of 1392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 76. Let r(m) = 4*m + 4. Let p be r(-7). Let x = p + w. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-39) - 2*1226\/(-52). Let u = w - 29. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1403090?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 58*s**2 + 134*s - 1570. What is i(56)?\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**6\/120 - l**5\/15 + 7*l**4\/24 + l**3 - 39*l**2\/2 + 31*l. Let c(s) be the first derivative of n(s). Calculate c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1*(1 + -1). Let l = c + 11. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -220217670 to the nearest ten thousand.\nAnswer: -220220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625755540?\nAnswer: 2, 3, 5, 1277, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 0.26. Let n = 256 - 254. Which is the nearest to 0? (a) 2\/3 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413640 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Let g = 10 - 5. Let y = -4.7 + g. What is the third biggest value in y, o, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7018, -29595, -67728, -121411, -190638?\n\"Answer: k**3 - 7784*k**2 + 768*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -29*f - 38. Let d be l(-24). Suppose d = 5*u - 1467. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iioi when four letters picked without replacement from ioioiooooiiooioiooo?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**2 + 257*y + 1890. What is w(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -43 + 45 - (-4 + 0). Suppose 8*l - 7*l - 3*q = 527, -c = 3*q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103679979 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*f - 13 = 0, 2*x + 22 = 7*x - 4*f. Let a(r) = 39 + r**2 + 0*r - r**2 - r + x*r**2. List the prime factors of a(0).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-651)\/(-28) - (-2)\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26138080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((24\/108)\/((-28)\/(-6))). Let t = -75 - l. Which is the biggest value? (a) t (b) 5 (c) -2\/7 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47 (b) 0.04689 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixi when three letters picked without replacement from ixcixxcxu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344473745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -510467?\nAnswer: 7\/510467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -814805 + 246?\nAnswer: -814548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323032212 + -1?\nAnswer: -1323032213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 - -177. What is the smallest common multiple of 80 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 985 by 197.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3947235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31013 - -51301?\nAnswer: 112314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.34 to 0 decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34319677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**3 + j**2 + 17. Let u(g) = -19*g**3 - g**2 - 32. Let f(h) = 11*c(h) + 6*u(h). Let m(l) = -8*l**3 + 2*l**2 - 2. What is 4*f(v) - 10*m(v)?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/61? (a) -12.219 (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 16. Let p be o(12). Suppose -r + 20 = p*b, 0 = 3*r - b + 3*b - 10. Suppose r = -12*q + 10*q + 8. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37221 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*b + 87*b - 31*b - 2192*b**2 to the form s*b + t*b**2 + g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-138)\/(-46)*(-4)\/9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2. Let n(f) = -229*f + 1. Give x(n(o)).\nAnswer: 262205*o**2 - 2290*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*p + 2*p - 2*w, -p - w = -3. Suppose 15 = 5*s - p*y, 14 = 5*s + y - 5*y. What is the units digit of -3 + 2 + 8\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 950 and -1283?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 41*z**4\/2 - 61*z**2\/2 + 223. What is the second derivative of p(c) wrt c?\nAnswer: 492*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145994.999935929 - 145995. Round x to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/247 in -498.4, -1, -4.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3624 and 1359?\nAnswer: 10872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1673 + -1674.778. What is z rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-90)\/(-105))\/(57\/266)*2\/4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 + 15984*w**4 - 321180*w**3 + 402440*w**2 + 3372576*w - 3469824 = 0. What is w?\nAnswer: -4016, -3, 1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 4*u, -4*u + 20*t - 15*t = -18. Let k = -2 + 5. Suppose -5*n = o + 5 - 29, -2*o + k = n. Solve n = -2*h + 5*i, u = -h + 2*i + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 120, 725, 2316, 5391, 10448?\n\"Answer: 83*u**3 - 5*u**2 + 39*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(-4 - -1). Let h = -1\/14 - -9\/28. Suppose 5*w = -14 + 29. Which is the nearest to h? (a) w (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 2\/27 (c) -1317.46 (d) -122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 14) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -4*v - 5*o - 3, 0 = 4*v - 2*v - 8*o + 9*o + 14 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 17*s - 8. What is f(-14)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180*y + 5911*y - 1179*y - 1184*y - 1187*y - 1183*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7055 and 2336450.\nAnswer: 39719650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 5. Let h = -13 + 13. Let l = t + h. Solve -l = -3*f + 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 24 = -6*h + 2*a, -4*a - 33 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877 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: Let g = -0.17 + -5.83. Which is smaller: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 3:27 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 7:52 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 7*s**2 + 10*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32 + 5 + (3 - 4). What is the greatest common factor of q and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 63*j - 1. Is y(2) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s**3 - 4*s - 3. Let w be i(-2). Let g = w - 415\/6. Let k = -24 + 25. Which is the closest to k? (a) g (b) -0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/15)\/((n\/(n\/((((n*((n\/n**(6\/11))\/n)\/n)\/n)\/n)\/n)))\/n))**(-43) assuming n is positive.\nAnswer: n**(-31777\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/100*1*-3. Which is the nearest to -0.5? (a) 5 (b) y (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*g - 4 + 20 = 0, g = 4*w - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283 divided by -21.\nAnswer: -283\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 269.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5328 = -6*b, -13286 = 5*w - b + 3*b. Is -2658 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 85?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**2 + 21*p + 21. Determine y(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -23. Let p(k) = 3*k**2 + 15*k - 59. Let l be p(-10). What is the greatest common factor of q and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 109, 433, 969, 1717, 2677?\n\"Answer: 106*k**2 + 6*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1334*j + 184. Let u(l) = 43*l + 6. What is -92*u(z) + 3*v(z)?\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25488 and 144?\nAnswer: 25488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 4*s**2 - 3*s - 4. Let o be z(5). Suppose -14*g - 36 = -12*g - 2*a, 20 = 4*a. Let m be g\/65 + o\/5. Solve -9 = 2*i + m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 70*f - 25. Let c be r(-2). Let p = 48 - c. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97970038054 + -5.\nAnswer: -97970038059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -53. Let l(o) = -4*o + 9. Let w be l(0). Suppose w*q = 14 + 22. Put f, q, -65 in descending order.\nAnswer: q, f, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6355301*f**2*g - 608*f**2 - 15320 with respect to g.\nAnswer: 6355301*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 5000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2701 + -2710. Which is the biggest value? (a) 1\/2 (b) 2\/13 (c) s (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2817*r**2 + 2*r - 3263?\nAnswer: 5634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1072773636 divided by 23\nAnswer: -46642332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-42)\/(-4)*(-16)\/28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.74 * -1045.8.\nAnswer: 41560.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -22210222100?\nAnswer: -22210222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 25, 0, 765, -3, 2, 5 in increasing order.\nAnswer: -3, 0, 2, 4, 5, 25, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1. Let a(m) = 2*m + 2. Let u(b) = a(b) + 3*i(b). Calculate u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (2 - -4 - -3). Let k = y - -8. Suppose -3 = -m + k. Solve -m*l = l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 281\/(-6) - (-148 + -72 + 225). Factor -1763\/2*x - 1\/2*x**3 - n*x**2 - 1681\/2.\nAnswer: -(x + 1)*(x + 41)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244280 and 8.\nAnswer: 244280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3954564, -7909152, -11863740, -15818328, -19772916, -23727504?\n\"Answer: -3954588*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w - 39*w - 136 = -5*a, 374 = 5*w + 14*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t - t**2 - 5 - 4 + 2 + 0*t**2. Let h be c(-8). Calculate the highest common divisor of h and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/40 and -71\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653 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: Solve -4*b - l = -28, -2293*b + 2256*b = l - 226 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*k**3 + 7*k - 7*k - 477*k**3 + (k + 4*k - 6*k)*(-k**2 - k**2 - k**2) to the form m + b*k**2 + t*k**3 + x*k and give t.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9862303261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/21 + (-130875)\/(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)*t\/(t\/t**(-1\/7)))**4\/(t**7\/((t*t\/((t**(-2\/5)\/t)\/t)*t)\/t*t))**(-1\/4) assuming t is positive.\nAnswer: t**(-1126\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -23*p**7\/210 - p**6\/120 + p**5\/12 - p**4\/8 - 20*p**2. Find the third derivative of n(t) wrt t.\nAnswer: -552*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*n**2 - 17 + 71*n**2 + 17 in the form a + l*n + m*n**2 and give m.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*w = 743150, -17*w + 2972736 = 4*z - 12*w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/11 - -4\/11. Which is the closest to 0? (a) 6 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/2 - 1)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 124 - (16 + (26 - (4 - -10) - 13))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 2}. Give prob of picking 1 h and 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 - 5)\/(2*3\/168). Let j = n + 453. Let x(q) = q**3 + 6*q**2 - 4*q + 1. Let h be x(-6). What is the highest common factor of j and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00091616 to 5 decimal places.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 591 = 116. Suppose -p = -w + 2*f + 8, 5*w - f - 551 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86240 and 238?\nAnswer: 1466080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -11 - (0 + -1 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.01, 3\/14, -3\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbbbbcbvbvbbvb?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.0825, 149, -0.2, -4\/5, 5?\nAnswer: 0.0825","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7386879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 315089981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*p = -0*p - 300, -5*p + 603 = 4*d. Let j = -992 - -1000. What is the greatest common factor of d and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*((-6)\/(-8))\/((-90)\/96).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 4*g - 15*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - ((4 - 2) + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4426446 divided by 14142.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**7\/840 + t**6\/360 - t**5\/60 + 2*t**3 + 2. Let f(b) be the third derivative of y(b). Factor f(m).\nAnswer: m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -11 = -v - 4*t, 0 = b*t - 6*t + 12. Let s = 198 - 198. Sort v, -3, s in decreasing order.\nAnswer: s, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213615 (base 7) in base 2?\nAnswer: 1011111010010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237725149 to the power of 1\/2, to the nearest integer?\nAnswer: 15418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 6*p**2 - 5*p - 1. Let f be k(-5). Let l be -33*((-8)\/(-12))\/f. Let v = 54 - l. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5214512904?\nAnswer: 2, 3, 217271371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5383*v + 1251 - v**3 + 1224 - 2477.\nAnswer: -v**3 + 5383*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5 + q**2 + 2 - 2*q**2 + 4*q. Suppose z = y + 5, -5*z + 0*z = y - 31. Let i be p(z). Put 5, 4, i in increasing order.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90342.18 millilitres to litres.\nAnswer: 90.34218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7693, 7709, 7705, 7681?\nAnswer: 7637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59727794 to the nearest integer?\nAnswer: 7728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48637 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80521 is divided by 455.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3094.91 + 3095. What is the closest to a in 5, -0.4, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t + 15*t - 6*t + (-1 + 4 - 2)*(-1 - 2*t + 1) to the form p*t + b and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-181177)\/4635 + 39)\/(12\/(-10)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375*-232.\nAnswer: -87000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 92*f**3 + 12*f**2 - 268*f - 184.\nAnswer: -4*(f - 23)*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.93 + -0.07. Let x = 0.09 - 3.09. Let d = x - u. Which is the biggest value? (a) -1 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44, -5, -4 in decreasing order.\nAnswer: 44, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) 2 (c) -0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 206*h**2 - 37*h - 330. Let k(f) = -77*f**2 + 12*f + 110. Determine 8*k(w) + 3*r(w).\nAnswer: 2*w**2 - 15*w - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-704)\/128*(-55)\/(-30) + (-1)\/(-12). Let i = 0.15 + 10.85. Let m = 16 - i. Sort z, -2\/3, m in ascending order.\nAnswer: z, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let j(a) = -168*a**2 - 2*a. What is h(j(q))?\nAnswer: 168*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25025 - 451?\nAnswer: 24134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 2. Suppose 0 = 4*y - y + x. Sort y, 0, 0.3.\nAnswer: y, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 165\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7 (base 14) in base 3?\nAnswer: -20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44778, -44783, -44788, -44793, -44798?\n\"Answer: -5*u - 44773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 28 = -5*m + 2*q, -2*q = 0. Let i(o) = o**2 - 9*o - 70. Let g be i(m). Solve 0 = 2*j + 5*x - 7, -5*j - 2*x + 7 = -g*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*a + 6, -64*a + 67*a + 4*r - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = 24. Let c = -4 - s. What is the remainder when 78 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9 or 62.934?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-2 - -1) - (-30 + 45 - 30)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + c - 8 = -20, 5*f + 4*c = 2. Let w be f\/6 - ((-501)\/9 + 1). Suppose w*k - 53*k - 236 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47944820 greater than -47944821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 43 - ((8 - 10) + (-5 - -31))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -4*f + 44, -7 = f + 4*t. Let x be (-8)\/(-3)*(-36)\/16. Let c = -3 - x. Solve -5*v = -a - 2*a + 11, f = -c*v + 3*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) -16 (c) 347 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {b: 12, r: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-124)\/(-12))\/(1\/18)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 - 294*o**2\/5 - 5661*o - 179180.\nAnswer: -(o + 85)**2*(o + 124)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1 = 24. Let y be 32\/p - 14\/35. Is y + (-2 + 3 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -142, 13, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -44*k. Let l(n) = -8*n. Let o(z) = -28*l(z) + 5*r(z). Let h(v) = v**2 + 0*v**2 - 3*v**2 - 3*v**2. Calculate h(o(y)).\nAnswer: -80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 9*u**2 - 6*u - 3. Let p be a(9). Is -1 + 1 - (2 + p)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14901 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/36 and 41\/830.\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 19 = 11. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.1 + 21. Let s = p - 1.1. Which is the third smallest value? (a) 5\/4 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cd40 (base 14) in base 9?\nAnswer: 181118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 888*i**4 - 4*i**2 - 3*i.\nAnswer: 21312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**(7\/6)*(q*q**3)\/(q*q\/(q**(-1\/13)\/q)*q) assuming q is positive.\nAnswer: q**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437 + 436.9999032. What is u rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:14 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -220, -606, -1300, -2392, -3972, -6130, -8956?\nAnswer: -12540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1284*f + 2893. Let l(o) = -2567*o + 5800. Let u(a) = 11*j(a) - 6*l(a). What is the derivative of u(n) wrt n?\nAnswer: 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 1:10 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhihcha. What is prob of picking 1 i and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/15 + 1907066*f**3\/15 - 1907072*f**2\/5 + 8*f\/15 + 7628288\/15 = 0.\nAnswer: -953536, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083793 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -3*j + 108. Solve -2*n - j = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3635490.\nAnswer: 2, 3, 5, 179, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6*i + 1265 = -7*i, 5*h - 4*i - 1573 = 0. Let f = h - 97. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6153 - 3?\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = d, -4*b - 4*d + 4 = -4. Suppose -4*n + b = -7. Suppose -n*z + 4*z = 5*u - 55, -62 = -4*u - 2*z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*x - 17 = -112*x - 21*h + 24*h, 3*x - 6*h - 54 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*-1*-4. Let j = 222 - 219. What is the nearest to 2\/3 in -5, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -8 - (-3 - (3 + -11))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7062346?\nAnswer: 2, 3531173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 2142041137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 50100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198642357?\nAnswer: 3, 53, 416441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.5, -16, -27\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 99. What is the remainder when i is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333546855.\nAnswer: 3, 5, 73, 304609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -5. Let f be -5*(-16)\/40 + -4. Sort 5, -3, a, f in ascending order.\nAnswer: -3, f, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 7*u**2 + 0*u + 3\/2*u**3 + 0 + 1\/15*u**5 + 5\/24*u**4. Is m(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (4\/(-5))\/(22\/(-55)). Suppose 2*w = -z + 40, 3*z - x*w = -5*w + 140. What is the remainder when 139 is divided by z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, -4, -15, -30?\n\"Answer: -2*i**2 - i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 397679 + -10.7\nAnswer: 397668.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 13 = -3*h, 4*h = 3*v - 19. Suppose 5*a = 2*n - 15, -2*n = 3*a + a - 6. Let w = n - h. Solve 2 = 2*x - 3*j, -w + 23 = -3*x - 4*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37\/4? (a) -0.5 (b) 10\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*h**3\/5 + 87*h**2\/5 - 78*h\/5 + 8\/5.\nAnswer: -(h - 4)*(h - 1)*(17*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.63625 rounded to 1 decimal place?\nAnswer: 463.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1932412nm in kilometers?\nAnswer: 0.0000000000001932412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16982 divided by 47?\nAnswer: -16982\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.42 + 6.302. Let y = -0.0777281 - 0.0402954. Let a = y - r. What is a rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12520689?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042557.\nAnswer: 3, 347519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -302*j + 32*j**3 + 302*j + (4*j**2 - 2*j**2 + 0*j**2)*(5*j - 1 + 1) + (-j + 1 - 1)*(6 - 6 + 3*j**2).\nAnswer: 39*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 9*d**3 - 76590116 + 76590116.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p - 49704. Let d(f) = 2*f. What is b(d(m))?\nAnswer: 18*m - 49704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-499\nAnswer: -99.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8. Suppose 0 = -3*g + 5*q + 17, -q - 2*q - 12 = z. Sort -0.3, g, 1.\nAnswer: g, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*a + 37 - 23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 12*q - 6. Let h(j) = j**2 - 11*j - 6. Let v(c) = 7*h(c) - 6*t(c). Does 8 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 6. Suppose 9*s - 10*s = -d. Calculate the highest common factor of s and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2065, -4125, -6183, -8239, -10293, -12345?\nAnswer: -14395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.2, -1\/378?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844084531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**2 - 610*j - 18605 = 0?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -512.5 - -513. Let o(q) = -q + 2. Let m be o(3). Which is the second biggest value? (a) u (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -2, 3, 4, -14, 1 in ascending order.\nAnswer: -156, -14, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvp when four letters picked without replacement from {v: 4, p: 9, t: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 33.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1. Let g(x) = -x + 2. Let c(d) = -g(d) + 3*j(d). Let i(o) = o**2 - 155*o + 3649. Let t be i(126). What is c(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25 (b) -491 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.9 + -24. Let d = -0.6 + s. Let b be (-99)\/(-77) - (1 - 0). What is the nearest to 0.1 in d, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2. Let z(w) be the second derivative of w**4\/3 + 8*w. Calculate z(k(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.389*18.\nAnswer: -25.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v + 100 + 152 = 0. Let q(d) = d**2 - 9*d + 2. Let u be q(9). Let a(f) = -f**2 - f - 2. Let g(h) = -4*h**2 - 5*h - 9. Give u*g(l) + v*a(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8*l + 3*p - 33, 4*p = -2*l - 8. Let n be 6\/(-3) + 12\/3. Is l\/1*(-6)\/n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1.538.\nAnswer: 0.6152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21957614?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 + (6\/(-11))\/(17\/(-187)) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.2, 5, 0.08, -0.022, 1, -43\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -5 - (2 - 1). Suppose -5*z + 4*a + 14 = 0, 5*a + 10 = c*z + 1. Let g = z - -1. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -51, -64, -75, -84?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 127*t**2 + 73*t - 9216. Give y(127).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*x - 31, -25*x = -13*p - 30*x - 122 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k + 8. Suppose 0 = -0*x + x. Suppose -4*n + 5*a + 3 + 17 = x, 0 = 2*n + 3*a + 12. Calculate the lowest common multiple of 20 and c(n).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4919126264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-6))\/(-4)*(-12)\/180?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 65?\nAnswer: -65.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*y = -2*f - 155, -5*f + 4*y = 146. Let s = -11 - f. Let z be (1*2)\/(s\/76). What is the greatest common factor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 - 132*m**3 + 4682*m**2 - 31260*m + 55125 = 0. Calculate m.\nAnswer: 3, 5, 49, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 29029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 14748521048?\nAnswer: 14748521053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 834609833 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a + -26212?\nAnswer: -26260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.85 and -72250.\nAnswer: -1217412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.79354 times 25?\nAnswer: 219.8385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -293 - -298. Let k be (130\/3 + m)*(-6)\/(-4). Is 74 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**3 - 15*y**2 - 6*y + 1. Let a be x(11). Suppose -30*l = -25*l - a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-2\/3)*q)**24\/(q\/q**(-2)*q*q**(3\/7)))**2 assuming q is positive.\nAnswer: q**(1170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + -1. Let z be (o\/(-2) + -7)*-2. Which is greater: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 5, o: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12)*-8)\/((-4)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-15)\/(-25))\/(2\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 682 - 488. Calculate the remainder when f is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s = 303. Let n = s + 1109\/11. Which is the third biggest value? (a) -26 (b) 3 (c) n (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/9, 9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*d - 1935, 1575 = 4*r - 2*d - d. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 154. Let h(v) = v + 11. Let o be h(5). Let l = 38 - o. What is the highest common factor of y and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 342098 and -0.04?\nAnswer: -13683.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738051 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-7) + 12\/42. Suppose -6*o + d*o + 32 = 0. Suppose 4 = m + w, -5*w = -4*m - 2*w + o. Solve 3*u - 1 = -4*x, m = -x - 0*x - 5*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4292737*h**2 + 2681435*h wrt h.\nAnswer: -8585474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23\/4? (a) -2 (b) -0.07 (c) -0.3 (d) -590 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h + 63. Let x be s(5). Let w = 0 - 0. Let q = w + -1. Is q at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:05 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11248 + -573683\/51. Calculate the common denominator of -1*1 + 52\/(-1950)*-15 and z.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 4*i + 27. Calculate the remainder when 33 is divided by z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -j + 15885, 3*a = -4*j + 6109 + 3422. Let f = a + -674. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 - 15*y**4 - 5*y**3 + 15*y**2 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5628.727cm in kilometers?\nAnswer: 0.05628727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*q - q - 73*q + 4*q + q - 3*q + (0 - 5 + 4)*(-2 + 2 + q).\nAnswer: -116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 6783.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 0*y**3 - 82*y**3 - 8*y + 6*y**2 - 533*y**4 + 531*y**4 - 4*y**2 to w*y**4 + o*y + p + i*y**2 + g*y**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3, -3\/2, -0.5, 19.9, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 2*w - 2. Let q(x) = x + 6*x**2 - 7*x**2 + 0*x**2. Determine -b(c) + 2*q(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 - 2*j - 1. Let u(q) = 24*q**2 + 11*q + 4. Suppose -127 = 2*x - 105. What is x*o(l) - 2*u(l)?\nAnswer: 7*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 150?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 + n**4 - 119*n**2 - 133*n wrt n?\nAnswer: -40*n**3 + 12*n**2 - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 912856.87 to the nearest 100.\nAnswer: 912900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(255\/595)*(-10)\/35*-106.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197663948 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/3))**(-9)\/(((s**4\/s)\/s)\/s**5)*(s\/(s\/((s\/s**1*s)\/s*s)*s*s*s))**36\/(s**0)**(-35\/6) assuming s is positive.\nAnswer: s**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349986?\nAnswer: 2, 3, 7, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vysypqmmmqqqpyqqyv. What is prob of sequence pvm?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-70))\/((-2)\/(-10)). Let p(b) = 3*b**2 - 3*b - 1. Let x(l) = 7*l**2 - 6*l - 2. Let f(d) = 9*p(d) - 4*x(d). Let m be f(-2). Is m at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v - 44. Let i be (-2 - (2 - 4)) + 115. Let d = i + -285\/2. Find the common denominator of d and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 158\/7 (b) -3 (c) -6 (d) 0.47 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(1 + 5\/(-2)). Let q be (-2)\/4*0 - m. Solve q*k - 4 = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 1, l: 4, k: 1}. Give prob of picking 1 l, 1 g, and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*g**3 + 4*g**3 + 0*g**3 - 8 in the form v*g**2 + q*g + f*g**3 + r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -18. Let z = -13 + p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400 = b - 467*g, b - 4*g + 13 + 6 = 18 - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21107332 divided by 3?\nAnswer: 21107332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*x + 14 + 6*x - 20 + 86*x - 47*x to the form h + k*x and give k.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 30 = -5*v, u + 7*v - 2*v = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*t - 41, 4*f - 5*t = -0*f + 79. Suppose -2*b - f = -6*b. Let h = b - -6. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, -2187, -1, -1\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -46, -196, -5, -1, -3 in ascending order.\nAnswer: -196, -46, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**4 - 2*r. Let l(w) be the first derivative of w**2\/2 - 9. Give k(l(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - -48. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.4. Let i = 2 - 1. Let o = 0.21 - -4.79. What is the nearest to k in i, o, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -13, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 + -288. Let r(x) = -62*x + 25. What are the prime factors of r(j)?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 + 7*m**2 + m**2)*(2 - 7 + 1)*(-6 - 2 - 23 - 14) to q*m + n*m**2 + h and give n.\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6256 and -0.05?\nAnswer: 0.6756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zza when three letters picked without replacement from azzzzzzz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine halves of a week?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/202 + 160776\/(-39996)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/4)\/((-8236)\/(-6496) + (-3)\/21). What is the fifth smallest value in 0.4, w, -1\/3, -0.34, 0.08?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*r + 5 + 7, -3*r = 3. Let v = 25343\/4 - 6336. Let q = 0.09 + -0.07. What is the closest to 0.1 in k, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14839?\nAnswer: 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 42. Suppose -8*c = -3*c - i, 0 = -5*p - 2*c + 28. Solve -p*u - 3*m = 13, m - 3 + 9 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50229.75 years in decades?\nAnswer: 5022.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 210*a - 99. Is 19 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/6 (c) 0.4 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 19*c - 25. Let q be s(-6). Let a = 206 - q. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 41*d - 185. Give j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4243640762 to the power of 1\/2, to the nearest integer?\nAnswer: 65143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -812\/5? (a) -15 (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -18*t**3 - 21*t + 21. Let b(k) = k**3 + k - 1. Determine -105*b(o) - 5*z(o).\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c, -3*z = -4*c + 8*c + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 657 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*w**2 + 3 - 3)*(9*w**2 + 0 + 0) - 2*w**4 + 13*w**4 + 5*w**4 as f*w**4 + p + o*w**3 + a*w**2 + b*w and give f.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2605964 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:13 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5483606 is divided by 1370896.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 2*s - 40, 1010487*a - 1010457*a = -s + 421 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:01 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 990, 1918, 2848, 3780, 4714, 5650?\n\"Answer: a**2 + 925*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1189 - 1185 - 1188 + 6*d**3 - 1179 + 4741.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -486338 or -485933?\nAnswer: -485933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 2. Suppose 8*f = f. Let a(g) = -g**3 - 3*g**2 - 2*g - 4. Let d be a(-3). Suppose -b - 2*b = d*k + 6, 5*b + 2*k + 6 = f. Determine h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/264)\/(3\/9*-1). Let f = -5.02 + -0.18. Let o = -0.2 - f. Put c, 3, o in increasing order.\nAnswer: c, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 4 (c) -2.7 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (551\/266)\/29*2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 9*o**2 + 7*o - 9. Let n be h(-8). Is (n + 2)\/((-2)\/(-10)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.93 at most 0.43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/123344 and -93\/44.\nAnswer: 1356784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141*o**2 + 156939*o + 6678.\nAnswer: 3*(o + 1113)*(47*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -6 + 31, -3*k + 3*u = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z = 3*k + 54*z - 299970, -k + z + 99990 = 0. Round k to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i + 3. Let q be s(6). Suppose 2*u = u - q. Let d(z) = -z**3 - z**2 + 4*z + 1. Is d(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*l**5 + 387*l**5 + 143*l + 193*l**5 wrt l?\nAnswer: 13460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 19*i + 25*i - 45*i. Let c(x) = 2*x**2 + 14*x. Let m(o) = 28*b(o) + 2*c(o). Give m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79725212 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2224.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) + (-7 - -4). Let f be (-2)\/h - (-3 + 3). Let v = -7 + 4. What is the nearest to f in 3, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -6 - -1 - (279 + -291).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let m(n) = -6*n**2 - 3. Let y(f) = 17*f**2 + 8. Let i(x) = -8*m(x) - 3*y(x). Give c(i(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1138.21 and -94?\nAnswer: 1044.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiqiiqiiiiiiiiqii. What is prob of sequence qqqi?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1709 = o, -3*o - 94*s + 5134 = -89*s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(245) - -2*sqrt(245))**2 + sqrt(245).\nAnswer: 7*sqrt(5) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4955 - -4970. Which is the closest to -1? (a) r (b) -0.1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - sqrt(2057)*1)**2*5 - (-2*sqrt(2057)*-1)**2) + -3.\nAnswer: -8231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.18 + 3?\nAnswer: 10.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/5 - -58\/15. Let q = 1 - -4. What is the nearest to 0 in q, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 - 4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -1, -0.12, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*s, j = s - 0 + 2. Suppose -2*z + 164 = -j*u, 174 = 2*z - u + 2*u. Let d = z + -1. What is the remainder when d is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 30 = 5*m. Suppose -14 = -2*o + 2*t, 0*o + m*t + 2 = -2*o. Let w(f) = -20*f - 8. Let x(j) = -7*j - 3. Give o*w(p) - 8*x(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, -1188, -1842, -2602, -3504?\nAnswer: -4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 4, 34 in decreasing order.\nAnswer: 34, 6, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2174524105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6837 or 75201\/11?\nAnswer: 6837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 + 1243 = 5*q. Is q smaller than 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 9*z - 520. What is the tens digit of 1\/((-385)\/z - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/160 and -73\/10016?\nAnswer: 50080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14423204 (base 5) to base 15\nAnswer: -30d04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/2 + 27*u**3\/2 + 25*u**2\/2 - 1289*u. Give l(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:23 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204*b**2 + 34*b**3 + 23*b**3 - 9*b**3 + 18*b**3 + 3*b**3 wrt b.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*-1*(-1)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*n = -2*w + 77, -w = 3*n - 72. Suppose -6*j + 3*j + 291 = 4*u, -w = -u + 4*j. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3125 - 1038 - 1040 - 1047 - 4636*z to u*z + t and give u.\nAnswer: -4636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m + m + 45 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12354 or 12297?\nAnswer: 12297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -2.03.\nAnswer: 4.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2690975, 2690984, 2690993, 2691002, 2691011?\n\"Answer: 9*u + 2690966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 20, 0, -0.2, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 441413771?\nAnswer: 441413777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2 + 20*a**2 + 3*a**2 + 23 wrt a?\nAnswer: 50*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + (53 + -122 - -22).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -304 - -455. Let y = 154 - j. What is the greatest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/117, 1\/8, -25, 7.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {i: 2, p: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o - 3 + 3 + 91*o.\nAnswer: 140*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*-2)\/(-5*sqrt(22)\/sqrt(2)).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.04 + 0.04. Let i = h - -8. Let y = 4196\/13 + -323. Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*z + 3*s = 503*z + 22, 3*z - 18 = 3*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/96 + ((-20)\/8 - -2))\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -40. Suppose 4*c - c = c. Suppose c = 35*g - 33*g - 28. What is the remainder when q is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*a + 38883 - 53783 = 0 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13735074553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 17*c + 24276 = 0. Suppose 0 = 56*b - 42*b - c. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549406 (base 12) to base 10.\nAnswer: 1343238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 257. Let u be k(0). Let q = -247 - u. Solve 0 = 2*w - 4*w - n + q, 0 = -5*w + 5*n - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -86, 3\/5, 2, 4\/3, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i. Let s(r) be the first derivative of -r**4\/4 + 8*r**3\/3 + r**2 - 11*r - 1. Let c be s(8). Solve n - c + 2 = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635530350.\nAnswer: 2, 3, 5, 7, 13, 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151872 divided by -5.\nAnswer: 151872\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -300515 - -22?\nAnswer: -300463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 332*h - 27004. Calculate m(82).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (-8 + 3))*1\/(-3). Calculate the common denominator of 2 + 133*c\/72 and -49\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 1, q: 1, g: 3, w: 5, x: 8}. What is prob of picking 2 w?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070625 is divided by 97.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + l - 13, -3*k = 5*l + 9 + 4. Let z be k\/(-7)*(28\/6)\/1. Is (-1 + 0)\/(z\/(-236)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3 + 3*t**2 + 16. Let s(g) = 9*g**2 - 17*g. Determine 6*s(h) + 17*x(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, -1\/62, 57, -0.4?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1332583*a**5 - 202173*a**2.\nAnswer: -79954980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 86. Let q = -54 + z. Find the third derivative of 16*i**2 + 20*i**q - 71*i**4 + 71*i**4 wrt i.\nAnswer: 2400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 + 659*g - 5. Let f(k) = -2*k. What is f(w(c))?\nAnswer: -8*c**2 - 1318*c + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 736704998*m**4 + 826838053*m**2 wrt m.\nAnswer: 17680919952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*x**3 - 10*x + 10*x**3 + 14*x wrt x?\nAnswer: 210*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*q + 40 = 1158*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16*n. Let g(r) = -r**2 - 26*r + 26*r. Determine g(c(q)).\nAnswer: -256*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559 + 559 = 15*r. Let z(v) = -2*v - 7. Let c be z(-14). Let q be (c\/(-28))\/((-4)\/64). Solve 4*s + 7*g = 3*g - q, 3*s + 4*g + 14 = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.368638mg in nanograms?\nAnswer: 6368638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -725192 divided by -19084?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1010 + 600. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14247035 by -2849407.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/33 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 3*j. Let r be g(-5). Let q be 4\/(-10) - 154\/r. Let p(s) = 10*s + 5. Let d be p(7). What is the highest common factor of q and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - 6) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/589?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23938 + 23936. What is the second smallest value in -0.5, a, 3\/5, -0.1, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -25, -91, -225, -451?\n\"Answer: -4*x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2025 + 2027. Solve 4*q = -2*t - 2, n*q - 2 = t + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 84?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 58. Sort x, -6, 5.\nAnswer: -6, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16464615 (base 7) to base 5.\nAnswer: 403101444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/120 - c**5\/30 - c**4\/8 + c**3\/3 - 7*c**2. What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3914?\nAnswer: 2, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(35\/(-14))*1\/(-2). Let d be (-1 + t\/(-2))*(-1408)\/192. Let k(l) = -l**2 + 12*l - 2. Give k(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f**4 + 2*f**4 + 3*f**4)*(0 - 1 + 0) + f + 10*f**4 - f)*(f - 3*f + 0*f).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46900, -1, 1 in increasing order.\nAnswer: -46900, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d + 6*d**2 - 4*d**2 - 3*d)*(-4*d**2 + 3*d**2 + 2*d**2).\nAnswer: 2*d**4 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + -2*sqrt(280))\/sqrt(8))\/sqrt(5).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**5\/20 + l**4\/4 - l**3\/3 - l**2 + 2*l. Let v(t) = 6 - t + 94518*t**2 - 94517*t**2 + t**3 - 7. Calculate j(a) - 2*v(a).\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:47 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/14)\/(2\/4). Let q = 647 + -647.3. Which is the closest to 0? (a) y (b) 0 (c) q (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 + -42)\/(1\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4*k + 6 = -p, 2*p - 8 = -k. Solve 2*j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5*d - 119. Determine f(-10).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 15*l + 12. Let t be f(-11). Let u be 1 - 8\/(t\/60). Solve -3*g = -5*y + 25 + 7, 0 = 4*g + u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*y - 10, 3*d + 4*y - 6 = -y. Suppose -d*t + 6*t = 20. Suppose 30 = 5*c + 5*f, 27 - 2 = -t*f. Calculate the greatest common divisor of 88 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 3*u = -18. Suppose -3*y - u*a + 13 = 0, y + 3*a = -0*y + 2. Put -5, 0, 4, y in descending order.\nAnswer: y, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44280 (base 11) to base 2\nAnswer: 1111101011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 - 2625016*d + 3500024.\nAnswer: -(d + 1750012)*(3*d - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3234*m + 6 - 7 - 4 + 5 to the form i + l*m and give l.\nAnswer: -3234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/13 (b) 4\/5 (c) -4 (d) 0.1 (e) 86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*j*p*x - 3*j*p - 8*j*x**3 - 234*p*x**3 - 4*p*x with respect to j.\nAnswer: 16*p*x - 3*p - 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - -39. Let t be (-1)\/(-3) - 462\/9. Let l = t + w. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.83 + 0.01.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + 4 + sqrt(98)*-3 + 1*(1 + sqrt(98)) + 2)**2 + -5.\nAnswer: -336*sqrt(2) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 2.3, -4, 6481\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 6*o + 9. Let d be k(-7). Let x(w) = d*w + w - 4 + 2*w**3 - w + 5. Give x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16798735, -16798736, -16798737, -16798738, -16798739, -16798740?\nAnswer: -16798741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/11))\/i)\/(i**(-2\/3)\/i)*(i\/i**17)\/(i**(7\/6)\/i) assuming i is positive.\nAnswer: i**(-323\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1365 != -867488\/635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w - 12 = 0. What are the prime factors of (w\/(-9))\/((-6)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312233123 (base 4) to base 2.\nAnswer: 110110101111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/129 and -81\/344.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 737*t + 6. Let i be h(-2). Let g = -3274 - -5791. Let c = i + g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:18 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 + 2*r**3 - 4*r**3 + (-2*r + r + 3*r)*(0*r + 2*r**2 + 0*r) + 146*r**3 - 295*r**3 - 13 + 150*r**3.\nAnswer: 6*r**3 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let m(a) = -7*a + 86. Let g(u) = -2*u + 30. Let h(c) = 11*g(c) - 4*m(c). What is h(n(d))?\nAnswer: 18*d - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13381\/1430 - 49\/143. Calculate the common denominator of (-537)\/351 - 24\/(-108) and m.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-918)\/255)\/((-56)\/(-40)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 13\/2*c**2 + 0 + 79\/6*c**3 + 37*c. Does 32 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00909281028 to 7 decimal places.\nAnswer: 0.0090928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -167 - (358 + -116).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2491935ng in grams?\nAnswer: 0.0000000002491935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360854 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-8))\/(-3) - 30\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 77*x**2 - 419*x + 497.\nAnswer: -(x - 1)*(x + 7)*(x + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 37*j**2. Let o(u) = 8*u**2 + 3. Calculate o(s(r)).\nAnswer: 10952*r**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:36 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (30 - 18) - (6 + (1 - 5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7127.36 grams to tonnes.\nAnswer: 0.00712736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 17 - (-37 + 46). What is the greatest common divisor of 4485 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x. Let w(p) = -27*p + 44*p**2 + 27*p - 15*p**2. Determine w(z(a)).\nAnswer: 1421*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 - 145*p - 2437. What is v(-13)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21415907 is divided by 2079?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -734*q + 727*q - 21. Let l(w) = -3*w**3 - 3*w**2 + 23*w + 57. Calculate the smallest common multiple of l(q) and 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 29. Which is the fourth biggest value? (a) -8 (b) -0.1 (c) s (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/31362 and 17\/1359.\nAnswer: 14206986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, 0.09, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -95744 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 827, 581, 333, 83?\n\"Answer: -d**2 - 243*d + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011 = -0*p - p + 3*j, -4*j = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/546 and -141\/35630?\nAnswer: 1389570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -46240 (base 7) to base 3\nAnswer: -121011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7148565?\nAnswer: 3, 5, 67, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-112)\/19 - 10\/95. Let l(y) = -8*y + 55. Does 4 divide l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + -3.23. Let p = 1 + 1.5. Let i = x + p. What is the third biggest value in -1, -3\/4, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.09 - -14.91. Let z be -3 + (260\/17)\/5. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjwr when four letters picked without replacement from wjrjjkwrjwwjjrwrw.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/(-3))\/(186\/403155)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -13. Suppose -2*q = 0, -3*q + 4 = 2*m - b*q. What is the second derivative of -7*y**4 + m*y**4 - y**4 + 2*y wrt y?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**3\/6 + h. Let j(s) be the third derivative of -11*s**4\/24 + 38*s**2. Calculate j(t(f)).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 2*a**5 + a**5 + (2 - 2 - a)*(3*a**4 - 2*a**4 + a**4) + 0*a**5 + a**5 + 0*a**5 - 3028*a + 3028*a + 372*a**5.\nAnswer: 369*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1337*y - 17 - 165*y - 34.\nAnswer: 1172*y - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112835512 divided by 4?\nAnswer: 28208878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5716509?\nAnswer: 3, 29, 65707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 15 + 5. Let a = 6 + r. Suppose -a*b + 3*b - 3 = 0. Is b at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 6) in base 3?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.3 in -1\/137, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-5 + (-152)\/(-32) - (-4377)\/1028). Sort -5, 17, c.\nAnswer: -5, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5696461*p**3 + 4094031*p**2 wrt p.\nAnswer: -34178766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a factor of 12997336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 13*s**7\/105 - s**6\/40 + 31*s**4\/24 - 3*s**2 - 24*s. Find the second derivative of g(r) wrt r.\nAnswer: 312*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 17*m + 1525175 - 1525175. Let n(u) = -u. Give -2*n(d) + q(d).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1556\/77 - -567387\/616. Let w = 904 - y. Find the common denominator of (-310)\/(-8)*6\/(-55) and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from qxqtqqqxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2940837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -17)*390\/1690.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932 + 764 = -29*t + 8*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/15*(-6666)\/(-924) and -71\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -519074, -1038010, -1556946, -2075882, -2594818?\n\"Answer: -518936*c - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 442\/(-130) + (36\/(-15))\/4. Suppose -f = 3*p + 26, -p - 4*p - 44 = f. Let u = g - p. Is 7 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 6 - 6 - 5*l**2. Let h(u) = 46*u. Calculate t(h(n)).\nAnswer: -6348*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17879016 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/4 - 625*i**2\/4 + 15241*i - 295035 = 0. What is i?\nAnswer: 26, 89, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-3)*(-344 - -5). Let g = -6348\/35 - -1863\/10. What is the common denominator of (-1)\/(t\/(-236) + -4) and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18483462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 8. Let m be f(0). Solve 2*a - 3*v + m*v = -7, -5 = 2*a + 3*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3 (c) 5\/181 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 31253\nAnswer: 6250.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5116878*f*t**2 - 7205300*f wrt t?\nAnswer: -10233756*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let i = 3 + -5. Let m = n - i. Put 0, 3, m in decreasing order.\nAnswer: 3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254915510.\nAnswer: 2, 5, 17, 29, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-10)\/(g\/g**12*g\/(g*g*(g*g**(3\/2))\/g*g*g)) assuming g is positive.\nAnswer: g**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 7*q**4\/2 + 23*q**3 + 12*q**2 = 0.\nAnswer: -6, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1170 and 10884?\nAnswer: 2122380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 3*v + 3. What is a(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 5*q - 6. Let v(s) = -s**2 + 6*s - 7. Suppose -186*y - 55*y + 1704 - 499 = 0. Determine y*v(m) - 6*w(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 4*y + 2. Let o be h(-4). Suppose -1 + 3 = o*a. Suppose -5*m = 15, 20 = 3*p + m - a. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -163.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -152*o - 289. Let q be u(-2). Let s be (3\/2)\/((-1)\/(-10)). What is the highest common factor of s and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7556564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 4*r + 5. What is the units digit of z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -2)*(-1 + 3). Suppose 2*w = c + 9, -4 + 33 = 2*w - 5*c. What is the second derivative of -6*r**l - 2 - 9*r + w*r + 2 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 5*y**2 - 5*y**2)*(-3*y + 3*y + 2*y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*14978.7\nAnswer: 29957.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/50 + 80\/(-75))\/((-2)\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.1. Suppose -2*k = 3 - 1. Let p be 0 + (-2)\/2*k. Which is the nearest to p? (a) -2 (b) 2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1313*g + 2628*g - 1307*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**4 + s**4 + 3*s**4)*(7017 + 2*s - 7041 - s).\nAnswer: -2*s**5 + 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 7. Is -0.3 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -0.4, 0, 1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) 0 (b) 2 (c) -2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 14*g**3\/19 + 2*g**2\/19 - 14*g\/19 - 2\/19 = 0?\nAnswer: -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/139980126 and -107\/233300210.\nAnswer: 699900630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -66. Suppose -m*q + 61 = -24. Let y(p) = p**2 - 18*p + 19. Let h be y(q). What is the greatest common factor of 10 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:50 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (809 - 812 - (10 + 0))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**27)**(1\/56))**17)**10 assuming g is positive.\nAnswer: g**(2295\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1530 and -22\/1275.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-15)*((-14080)\/(-231))\/32\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 242996\/267 - 2731\/3. Calculate the common denominator of -55\/1157 and a.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**3 + 2*n**2. Let t(m) = m**3. Let r(l) = c(l) + 10*t(l). What is the third derivative of r(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/276)\/11*(-3)\/(-1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 4. Let h be w(-1). Suppose x = -5*s - 45, 2*s - 45 = 2*x - h*s. Let k = -25 - x. Calculate the highest common factor of 40 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 5 (b) -13 (c) -0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 36, -94, 19, -1, 0 in increasing order.\nAnswer: -94, -6, -1, 0, 2, 19, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2. Let i(p) = -11*p + 163. Let v be i(14). Let r(b) = -15*b + b - 20*b + v*b - 5. Determine r(l(t)).\nAnswer: 75*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 4899024 - 4899024.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 - r**2 + 10*r + 9. Suppose u = 5*l - 26, -2*l - 23 = -6*l + 3*u. What is the units digit of n(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u - u**2 - 4*u - 2487*u**3 - 3502*u**3.\nAnswer: -5989*u**3 - u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(9\/10) + -3 + -2. Suppose -630 = -f - 0*k - o*k, 0 = -3*f - 2*k + 1838. What are the prime factors of f?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2.118 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/16 in 4\/5, -5, 357?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 = 5. Let s(v) = -v**2 - 12*v - 11. Let g be s(-11). Suppose g*y = f*y. Solve y = 3*o + 6 + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*n + 5*n - 3*n)*(-n - n + 0*n) to the form k*n + f*n**2 + p and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (10 - 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12852 - -7?\nAnswer: 12860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(145\/(-25) + 6). Suppose -8 = 4*g + 4*n, -v*n + 32 = 4*g - 5*g. Let x = -2 + 2. What is the closest to x in -0.1, -0.2, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5362.015 nanometers?\nAnswer: 0.005362015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/4 - l**3 - 3*l + 134. Let y be 6\/(-2) + 1 + 30. Let m(h) = 3*h**3 - y + 0*h**3 + 21 - 7*h**2. What is 14*c(w) - 6*m(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 523\/10 + (-1 + 0)*452\/(-2260). Suppose -25\/4*d**2 - b*d - 441\/4 = 0. What is d?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - (16 - 22)) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5498 and 466.5.\nAnswer: 465.9502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 110020101?\nAnswer: 110020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222528 to the power of 1\/2, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/48 - (-3 + 36\/16). Sort n, -0.04, -1\/7 in decreasing order.\nAnswer: n, -0.04, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -11 + 5 + 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -12101112?\nAnswer: 12102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/200 + k**5\/20 - k**4\/40 - k**3\/2 + 14*k**2. Suppose j(g) = 0. Calculate g.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/11368 and -19\/17696?\nAnswer: 3592288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + n + 69 = -2*n, c + 5*n = 11. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -44 + 14. Suppose f + 2*l = c, 5*l - 8 = -f + 7. Suppose -4*k - 3*t + 408 = f, -20 = k - t - 115. What is the highest common divisor of k and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - 56. Let b = -79.00000673 - d. What is b rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus 3.6?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 66. Sort 3\/7, w, -3, -3\/5 in ascending order.\nAnswer: -3, -3\/5, w, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.0452 - 0.0452. What is the nearest to 0.1 in -8, 2, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a factor of 46488388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. Suppose -2*d = -7*d - a*q + 195, 3*d - q = 117. List the prime factors of d + 0 + -2 + 3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4*1)\/((-1350)\/675)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4293)\/108)\/(-53))\/(9\/1).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 109*l**2 - 211*l + 321.\nAnswer: -(l - 1)*(l + 3)*(l + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*r**2 - 4*r**2 + 2*r**2 + (r + 3*r - 2*r)*(-139 + 139 - 14*r) + (-3 + 3 - r)*(1 - 1 + r) - 5*r**2 + 0*r**2 + r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 - -126. Let k = -53 - q. Let f be 0 + k\/((-12)\/(-8)). Sort -3, f, 3 in decreasing order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2473, 2464, 2455, 2446?\n\"Answer: -9*l + 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 13, j: 1, a: 1}. What is prob of sequence nan?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.183 - 157.183. Let s = 153 + j. Is s at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 14*u - 12*u + 20)*(22*u**3 - 9*u**3 - 24*u**3 - 7*u**3).\nAnswer: -36*u**4 + 864*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -165*j**3 + 13530*j**2 - 2*j + 139. Determine o(82).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (-85)\/(-5)*-1. Calculate the greatest common divisor of x and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.63 - 25. Round x to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -23*j**3 - 4*j**2 - 4. Let s = 9155 + -9151. Let b(m) = -162*m**3 - 27*m**2 - 27. Give s*b(z) - 27*p(z).\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 105 + -107.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 0 - 2 - 0. Let m(q) = q**2 - 4*q + 2. Let v(z) be the first derivative of -z**2\/2 - 2. What is s*v(i) - m(i)?\nAnswer: -i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12160 - -22687. What is the highest common divisor of 363 and h?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/15)\/(3\/(-90)). What is the second derivative of 6 - 7 - v*u**5 - 8*u + 0*u wrt u?\nAnswer: -1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 15 - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - -210. Let t = x + 52. Calculate the greatest common factor of t and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 58?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4483 - 33*z - 4485 + 111*z)*(1 - 2*z - 1) as p*z + a + b*z**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -585, -918, -1283, -1686, -2133, -2630, -3183?\nAnswer: -3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, 1, 83 in descending order.\nAnswer: 83, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37724*n - 14 = -x + 37721*n, 4*x - x + 3*n - 18 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/4*n**2 + 0*n - 12 - 1\/20*n**5 - 5\/12*n**3 - 1\/4*n**4. Factor f(d).\nAnswer: -d*(d + 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592126914 to the power of 1\/3, to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(550) + sqrt(264)\/sqrt(300))\/(sqrt(2) - sqrt(10)\/(sqrt(20)\/sqrt(4)) - 2*sqrt(32)).\nAnswer: 49*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -189, 39, -5, 3 in decreasing order.\nAnswer: 39, 3, 1, -2, -5, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -2. Let s(b) = -2*b**3 - 517*b**2 - 904*b - 34176. What is the remainder when l is divided by s(-257)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r. Let u(y) = -9383*y - 463. What is a(u(c))?\nAnswer: 28149*c + 1389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/24 - 2*u**3\/3 - 12*u**2. Let f be q(8). Let b(k) = -k**2 + 3*k + 3. Calculate b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*p + 1 - 23*p**3 + 159*p - 1.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205350511?\nAnswer: 67, 3064933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 20*c + 36. Let j(s) = -14*s**2 - 31*s - 102. Let n be j(c). Is n greater than or equal to -419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 54*t - 3. Let s(j) = -1662 + 107*j + 854 + 803. Calculate 5*h(w) - 3*s(w).\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -3 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 21497 + 13303. What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 1 - 69*b**3 - 4*b**4 - 3*b**2 - 70*b**3 + 141*b**3 in the form x*b**3 + z + m*b**4 + w*b**2 + k*b and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21*g**2 - 337*g + 4 - 331*g + 1008*g + 69*g**2 - 335*g. Give p(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 23*w - 13. Let k be y(16). Let h = k + 165. Let p(r) = r + 1. Calculate p(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:22 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1396094 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 (base 8) in base 12?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {f: 4, c: 7, l: 2, w: 2, j: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/7 and (1\/(-20))\/(12\/(-70)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 7*n - 4 + 8 - 12*n + 24.\nAnswer: 2*n + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 1 d when three letters picked without replacement from {m: 1, d: 1, a: 1, y: 1, p: 1, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + u + 4*u - 3*u + (2 - 2 - 4*u)*(1 + 1 + 0).\nAnswer: -6*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, i: 6}. What is prob of sequence ti?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19761*b + 316123. Determine c(-16).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 670\/25*(-1 + 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i**2*u + 8*i*n*u - 3*i*u**2 - 2*i*u + 3*n*u**2 - 96*u**2 with respect to i.\nAnswer: -18*i*u + 8*n*u - 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (2\/(-10) - 126567\/15). Suppose -78*k = -90*k + z. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864330373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17294921 at least as big as 69179683\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 327*x + 64. What are the prime factors of u(-31)?\nAnswer: 2, 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1513990?\nAnswer: 1513995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r + 57. Suppose 26*n - 12 = r*n. What are the prime factors of (1 - 3\/n)*86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/22*61\/(-1*35\/7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7111 + 31305 + 20306 = 1780*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 + 3*x)*((2 - 1 + 0)*(-2 + 2 - 2) - 4 + 1 + 1)*(3*x + 3*x + 3*x) as r*x**2 + k*x + c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1972, 3946, 5932, 7936, 9964?\n\"Answer: z**3 + 1967*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n - 4. Let l(t) = -493*t + 153. Let u be 188\/(-47)*(3 - (4 - 2)). What is u*l(c) - 153*f(c)?\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geq when three letters picked without replacement from gdpdeqgpdpepgggd.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 8*r - 287. Let m = 3 - r. Let l = -26 - m. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301786, -603563, -905340, -1207117, -1508894, -1810671?\nAnswer: -2112448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 2, l: 5}. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -0.25. Let u = t - -0.5. What is the nearest to -0.2 in -3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3 + 2. Suppose -y*k = 3*m - 57, 0 = 5*k - 3*m - m - 64. What is the lowest common multiple of 22 and k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*h**2 + 44*h**2 + 24*h**2)*(-1 - 2 + 2)*(h + 3*h - h)*(-10*h - 79*h + 8*h) as j*h**2 + p*h**3 + q*h**4 + g + z*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*(-4)\/(-6). Let z(q) = -q + 0*q - h + 2*q. Give z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 - 38652076*q - 46671403?\nAnswer: 6*q**2 - 38652076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021110022200000 + -12?\nAnswer: -1021110022200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2 + 498*m + 5111. What is c(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b = -28*b + 58*b + 140 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -32. Let h = 39 - 43. Which is the second biggest value? (a) q (b) h (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -15*h + 2130. Round h to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(14\/9)\/i**(-6))\/((i*(i*i**(-1\/3))\/i)\/(i**(-3\/16)*i)) assuming i is positive.\nAnswer: i**(1109\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 127068526.9?\nAnswer: -127068526.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 114 or 109?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {k: 1, s: 5, u: 3, z: 3, f: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 3, s: 4, e: 4, r: 1}. What is prob of picking 1 r, 1 m, 1 e, and 1 s?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/693 and 117\/308.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -396140 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18*16992\/49088?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149031, 149004, 148977, 148950, 148923, 148896?\nAnswer: 148869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-3366)*-34*55\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Suppose z - 6 = g*d + 12, 4*d = -z + 24. Suppose 1 = -5*i - 0*r - 4*r, -z = -4*i + 2*r. Solve s = 2*n + i + 8, -s - 5*n - 17 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2357*h + 112. Let z(x) = -1178*x - 51. Give 5*o(i) + 11*z(i).\nAnswer: -1173*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 542\/5173 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1759932 and -83\/124.\nAnswer: 1759932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302*k**2*z**3 + k**2*z**2 - 237*k**2 + 11*k*z**3 + k + z**2 wrt z?\nAnswer: 1812*k**2 + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 42523218.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-39))\/(-2)*11\/33.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 225. Suppose -9 = 4*c - 49. Is n\/c + 1\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3 + 3*d**2 + 694*d**5 - 48 - d**3 + 127*d**5 wrt d?\nAnswer: 49260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 809 + -805. Sort 5, s, 0 in ascending order.\nAnswer: 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -9. Let q(u) = u + 7. Let s be q(-8). Put t, s, 1 in ascending order.\nAnswer: t, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 - 64. Suppose z + a = 6*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = l - w, -4*l = -2*w - 105 + 19. Let b(a) = 36*a - 17*a - a**2 - l*a. Let v(z) = -954*z - 4*z**2 + 954*z. What is v(b(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 45. Suppose f*a + 2*q - 352 = 0, -a + 5*q = -0*a - 88. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28137*x**3 + 54329.\nAnswer: -84411*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-80)\/(-6)))\/((-2643)\/29954).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - (-1 - -2) - (73 - 78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r - 24. Does 17 divide n(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59226 divided by -6\nAnswer: 9871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1645 divide 2442825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-105)\/(-14) - 7) + 6\/4. Suppose 4*g - 25 = -5*l, -2*g - g + o*l = -13. Calculate the smallest common multiple of g and 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168.5 - -168. Sort -10, c, -5, 2\/5.\nAnswer: -10, -5, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 529\/8 + -66. Let a = 1058 + -1070. What is the closest to 1 in -0.2, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52508*v**3 - 166552*v + 1.\nAnswer: -315048*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -165354 divided by -889\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34204422 + -320?\nAnswer: -34205142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**3 - 2*b**3 + 0*b**3)*(-b + 3*b - b)*(4 + 0 + 1) to d*b + t + m*b**4 + k*b**3 + a*b**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -1\/3*l**3 - 3\/10*l**2 + 9\/5*l - 1\/20*l**4 + 3. Find s such that o(s) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + -102222?\nAnswer: -111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(1440) + (sqrt(1440) - -2*sqrt(1440))*-4)\/(-1*sqrt(128)*-2 + sqrt(128) - (sqrt(128) + (sqrt(128)*-2 + sqrt(128))*1)).\nAnswer: -11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17009650 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 3:32 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11436551.535 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202 (base 4) in base 12?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3 - 1 - 5 + 7741*n - 6.\nAnswer: 7741*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5230.\nAnswer: -1\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153698 by 642.\nAnswer: 76849\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 5*t**8\/336 - t**7\/14 - 11*t**6\/24 + t**5\/4 + 25*t**4\/12 + 158*t**2 + 7*t. Let u(r) = 0. What is r?\nAnswer: -2, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540 + 1620 + 221758*x - 542 - 221760*x - 538.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 110 = i. Let t(v) = 2*v**2 + 6*v + 1. Let f be t(-4). Suppose 2*c - 11 = f. Calculate the greatest common factor of c and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108904322533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let c = x - -2. Let s = c + -1.6. What is the third biggest value in -2\/13, 0, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 13*j + 4. Calculate f(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 6:35 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3766057549 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232685 and 76665.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5.4 (b) -574 (c) -4 (d) -2\/125 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(3003\/6)*462\/(-42).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01376562196 rounded to 5 dps?\nAnswer: 0.01377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*d = 44 - 55, -2*w + 4 = 4*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + 2*k - 1. Let l be g(-2). Let o = l + -3. Suppose z - 5 = -2*t + 2, -2*t = -4*z + 8. Sort -4, o, z.\nAnswer: -4, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023\/5 at most as big as 1605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 11*l**2 + l - 10. Let g be w(11). Which is smaller: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2933 is divided by 728?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -y + 28, t + 7 = -4*y. Let l(f) = f**3 + 8*f**2 + 6*f - 1. Let j be l(t). Solve -5*q - j = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4394 + 4397. Sort -2\/5, 5, m, -4.\nAnswer: -4, -2\/5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 5*r - 7*r)*(2*r**2 + 0*r**2 - r**2).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.33454 and 136.\nAnswer: 45.49744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92887 and 15316746?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z\/z**(-1\/2))**(20\/3)*((z\/(z*z*z**(2\/11))*z)\/((z*z*z*z**(-2\/3)\/z*z*z)\/z))**(-1\/20) assuming z is positive.\nAnswer: z**(33083\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14*g**2 - 27*g + 1. What is the hundreds digit of y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16740993*h**3*v**2 + 28*h**3 - 250*h**2 + h - 230 wrt v?\nAnswer: -33481986*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13651 + -13633. Suppose -7*b = -3*b - 40. Calculate the least common multiple of 8\/b*25\/2 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0 + 0)*(-8*a - 3 + 3).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/10 - 8)\/((-4)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -784 + 781. What is the closest to -1 in -1\/8, p, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121354 or -606768\/5?\nAnswer: -121354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -986 + 990. Let p be (-1)\/(-2) + (-13)\/(-2). Solve h - r*o = -2, -o + p = -0*h + 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.77965ng to grams.\nAnswer: 0.00000005277965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 15. Determine c(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268178.\nAnswer: 2, 134089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r - 4. Let h(g) = 2*g**2 + 9*g + 9. What is the remainder when h(-8) is divided by o(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17585497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145776.7 months in decades?\nAnswer: 17881.4725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -70 + (-1 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 28*p - 57. What is x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 4*g + 0*g)*(-617*g**2 - 56*g**2 + 67*g**2).\nAnswer: 606*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 417\/14 - 181\/6. Let o = 23936\/6825 + -82\/25. Let p = o + y. Which is the nearest to -1? (a) p (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 1, t: 1, b: 10, k: 3}. Give prob of sequence axk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 1.16184124?\nAnswer: 0.1045657116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1262?\nAnswer: -1262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 130 = 4*s - 273, 0 = 4*d + 2*s - 1626. Calculate the highest common divisor of d and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 12) in base 14?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2 + 2 + 0*u**2 + 1 + 2*u - 5*u - u**3. Let w be f(-8). Calculate the highest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -346? (a) 0.06 (b) 2\/5 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010011011001000 - 100?\nAnswer: -1000010011011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 22029 = y, -2*n - y = -2*y - 11015. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -108. Let t be ((-360)\/(-84) + 4\/o)\/1. Solve -p**5 - t*p**3 + 3*p + p + p - 2 + 4*p**4 - 2*p**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 - (36 - (-3 - 34))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/98 and 11\/122234.\nAnswer: 855638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 48, 8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 - 6. Let p(j) = 9*j**2 + 13. Let a = 5 + 4. Let h(r) = -r**3 + 10*r**2 - 7*r - 12. Let i be h(a). What is i*p(s) + 13*c(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvycvyypvcvcyv. What is prob of picking 2 v and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.662108 kilograms in grams?\nAnswer: 662.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - 3*z**2 + 0*z**2)*(254*z - 254*z - 9*z**2) - 4*z**2 - 2*z**4 + 4*z**2.\nAnswer: 25*z**4 - 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 + 114*n - 119*n in the form y*n + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -14*j + 7. Let l be f(5). Let v be 23\/l - 2\/(-9). Let n = 2.5 - 2. What is the third biggest value in n, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242465?\nAnswer: 5, 71, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/32)\/(3\/2)*(-100)\/25\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -2*sqrt(88))*-1)\/(sqrt(72)*-4)*3 - -6*(sqrt(11)*-1 + 4 - (-1*sqrt(11) + 4)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/9 + 11477902*z**2\/3 + 7651934*z + 34433702\/9 = 0.\nAnswer: -17216851, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 12790715810 to the nearest 1000000.\nAnswer: 12791000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1143104024 (base 5) to base 10\nAnswer: -2706764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2820, -2836, -2874, -2958, -3112?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 13) to base 9\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 61, 85, 107, 127, 145?\n\"Answer: -h**2 + 29*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8732867.\nAnswer: 11, 13, 173, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 7, l: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 11*u**3\/3 - 2*u**2 + 53*u - 6. What is h(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c + 218. Let w be a(23). Let y(r) = -122*r - 1. Let n be y(-1). What is the greatest common factor of n and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 17\/(-2))*-2 - -9 - 7. Let s(c) = -13*c**3 + 9*c**2. Let n(w) = 6*w**3 - 5*w**2. What is i*n(o) - 3*s(o)?\nAnswer: 9*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 - 3*a**2 - 2*a + 20*a**2 - 3*a**2 + 2*a**3 to x*a**2 + s*a**3 + p*a + h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - i + 18, -4*q - 822 = -2*i - 810 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.29 - -6.29. Let z = 0.3 + -0.6. What is the closest to b in -0.1, -0.5, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - 4.06. Let m = -62.8 + 63. Which is the second smallest value? (a) m (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6 and 85\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6126771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/186 and -97\/50?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 21?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + -2.98. Let l = 13.8 - 14. Let i = -50\/9 - -56\/9. What is the smallest value in m, i, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8606*u - 8605*u = -17238*u + 945 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41513, -83363, -125561, -168107, -211001, -254243?\n\"Answer: -174*k**2 - 41328*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:45 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 104\/1600239?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -3*z + 55, -3*u + 90 = 96 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 4*w - 2. Let g be k(-3). Let q = -16.01 - -16. Let f = 0.11 + q. Is g less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1640.5508 + -24839.44\nAnswer: -23198.8892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.169618ml?\nAnswer: 0.008169618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-1144)*-4)\/((-4)\/24*3)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**4*v + 2*h**3*n + 9*h**2*v + 2*n*v - 2*n - 63*v with respect to h.\nAnswer: 12*h**3*v + 6*h**2*n + 18*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4183812 divided by 18846.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16655 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82 + 4?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -1, 3938.5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 15*v + 10. Let g = -2 + v. Suppose g*l - l - 49 = -c, 0 = -5*l + 4*c + 103. Calculate the remainder when 40 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(-50*l**4 + 92*l - 92*l) - 3*l**4 + 0*l**4 + 5*l**4.\nAnswer: -198*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6555587 to the nearest integer?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4889 - 21*b + b + 4889. Let c(p) be the third derivative of -p**4\/24 - 2*p**2. Determine c(r(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-374)\/738 - 3\/(-9)) + (-4236)\/(-19062)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11467.1 - 11467. Which is the smallest value? (a) f (b) 2\/9 (c) -291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1048, -8, -3, -3\/5, -1 in decreasing order.\nAnswer: 12, -3\/5, -1, -3, -8, -1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-81)\/63 - 10\/(-35). Suppose -s - 4*s + 15 = 0. Let j(a) = 2*a**s - 4*a**3 - 1 - a**2 + 3*a**2. Give j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3945, -3946, -3947, -3948, -3949, -3950?\nAnswer: -3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(2\/(-20)). Let m(k) = k**3 + 5*k**2 - k. Let f be m(j). Which is the nearest to -0.2? (a) f (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -571 + 580. What is the remainder when (3\/4)\/(2\/40) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-5 + -2)) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 57*s**2 - 92*s - 101. What is the thousands digit of g(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 47. Let g be f(16). Suppose 10*o - 49 - g = 0. Solve 3*l - 5*l - o = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + 3*i**4 - 4*i**4 + (2*i - 2*i + i**2)*(-2 + 2 - i**2) + 0*i - i**4 + 0*i + (-i + i + 2*i**4)*(3253 - 5377 + 2713).\nAnswer: 1177*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215786 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -26. Which is the nearest to 0.1? (a) s (b) -0.01 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44716381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 - -72. Let t = -82 - r. What is the smallest value in t, 0, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300) + 4 - ((-1 + sqrt(1300))**2 + 5))*-6.\nAnswer: 7812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 115\/4. Let q = 117 + -123. Let n = 8 + q. Sort n, 4, p in increasing order.\nAnswer: p, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 1.1. Suppose -g + 0*g - 6 = 0. Which is the closest to 1? (a) g (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-22) - (-2)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 2*j**2 + j + 3. What is a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209\/24 - 77\/6. Which is smaller: -5 or v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -631*a**5*f**2 - 2*a**5*f + 306*a**2*f**2 wrt a?\nAnswer: -37860*a**2*f**2 - 120*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/12 + 2*t**3\/3 + 2*t**2 - t - 29. What is r(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 74793*j - 5593992849\/2.\nAnswer: -(j + 74793)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/28483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367163 is divided by 252?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aad when three letters picked without replacement from rrrammdaam?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 + k - 671*k**2 + 0*k.\nAnswer: -690*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - 38. Let x = -135 - i. Let w = 42.68 + x. Round w to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 365\/(-91) + (-395)\/2765 - 3\/78*-4. Let d = -2 + 4. Let o(n) = d*n**2 - n - 3*n**2 - 1 - 4*n. Determine o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.9067 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.65, 0, 0.6, -1 in descending order.\nAnswer: 0.65, 0.6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.88503 rounded to two dps?\nAnswer: -4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 2*k**2 - k - 4. Calculate g(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - m + (-m + 2*m + m)*(5 - 4 + 1))*(30*m - 226*m - 176*m).\nAnswer: -744*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231179978?\nAnswer: 2, 227, 337, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f - 11. Let l be o(-5). Does 17 divide -2 - l - 1*6\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 2*u**5\/15 - 5*u**2. Let h(d) = 2*d. What is j(h(z))?\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**4 - 4*a**3 + 3*a**2 - 59 wrt a.\nAnswer: 192*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 39108*d**4 - 861688*d**3 - 6113064*d**2 - 14815116*d - 9524628 = 0.\nAnswer: -9, -3, -1, 9799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 5) to base 8.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 13*m + 9. Let y be s(-14). Let q(n) = -n**3 - 5*n**2 - 2*n - 7. Let c be q(y). Factor 9*o - o**c - 39 + 4*o**3 + 15*o**2 + 12.\nAnswer: 3*(o - 1)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*f + 9, 3*j = j + f - 1. Let o be (12\/24)\/((1 - 0)\/j). Let l be (10 - -2)*o\/(-2). Solve -2 = p - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)*s\/(s\/s**(2\/5)))\/(((s**(-1\/3)\/s)\/s)\/s*s)**(4\/5)*((s*s\/((s\/s**(-7))\/s)*s)\/s)\/s*s*s**(6\/7)*s**(1\/2)*s*s**(2\/5) assuming s is positive.\nAnswer: s**(95\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15180)\/(-88))\/(-115))\/(2*(-2)\/184).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:23 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.675 from -8.15.\nAnswer: -7.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7768637 and 3051?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220 - -21?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvvvsvzovzzcsvvszvv. Give prob of picking 2 v and 1 z.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 26.5. Which is the second biggest value? (a) -0.2 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(171) + ((sqrt(19) - -2*sqrt(19)) + sqrt(19))*3)*6)**2 - ((sqrt(2299) + -1 + -2)**2 + -4*sqrt(2299)*-2).\nAnswer: -22*sqrt(19) + 496328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 34 + 6 = -5*t, 2*t + m = -10. Let r(c) = 2*c**2 + 6*c - 4. Calculate the remainder when r(t) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 10 = 6*o. Let k = o + -9. Let f(q) = 3*q**2 - 6. Let d(u) be the third derivative of u**5\/30 - 5*u**3\/6 - 48*u**2. Calculate k*d(i) + 3*f(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 8*d - 6. Let y be h(-9). What is the nearest to 0.5 in 0, -1\/4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(8) + (sqrt(8) + sqrt(392))*3))**2.\nAnswer: 7\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 2:22 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 11:35 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -189063 - -2?\nAnswer: -189061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -64. Suppose 0 = q*w + 3*y - 10, -6 = 4*w + 3*y - 38. What is the third derivative of 3*i**2 - 16*i**2 - w*i**4 - 7*i**2 - 5*i**2 wrt i?\nAnswer: -264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58040611\/23606 - 8540\/1073. Let c = f - -2466. Find the common denominator of 27\/2 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 14) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16913 - -29922. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1229660 or -1229659?\nAnswer: -1229660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*o*u**2 - 2978*o*u - 34338*o - 5*u**2 - 1156 with respect to u.\nAnswer: -140*o*u - 2978*o - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 4*k**2 - 6*k + 7. Let o be z(4). Let n(j) = -4*j + 1. Let l(x) = 12*x - 3. Let h(i) = o*n(i) - 6*l(i). Calculate h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -100. Solve 2*v + 15 = 3*n, -2*n - 4*v - 5 = -l*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7606734?\nAnswer: 2, 3, 1267789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3599818168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -77 + (0 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:42 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.5, 5, 16, 2\/9 in decreasing order.\nAnswer: 16, 5, 2\/9, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 6. Let b(d) = 4*d + 12. Let y(n) = b(n) - 2*k(n). Let a(s) be the third derivative of -s**4\/8 + 10*s**3\/3 - s**2. Determine a(y(i)).\nAnswer: -6*i + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:51 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 496 - 407269?\nAnswer: -406773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*h + 2957 = -213 + 1655 - 8187 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191670 divided by 38334.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/8)\/(258\/(-172)). What is the fourth biggest value in h, -0.6, 2\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -1273, -1902, -2529?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010137553 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2652576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ubuwuxiuwuexibxwuxuu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181.5 + 181.1. Which is the biggest value? (a) 0.5 (b) 3\/5 (c) x (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/622 (b) -0.3 (c) -7\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(j + 3*j - 5*j)*(0 + 3 - 1 + (-2 + 0 + 0)*(3 - 3 + 2) - 3 - 1 + 2).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*g - 3, 0 = -5*b + 5*g - 53 - 12. Let h(l) = -6*l + 17. Let q(f) be the second derivative of -f**3\/3 + 3*f**2 + f. Give b*q(r) + 6*h(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:54 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 h when four letters picked without replacement from lxxnjxnhxllxllxlxlx?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 2*s - 5 - 1.\nAnswer: -5*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*p - 2*p + 12 = 0, -3*i + 4 = -2*p. Let s(m) = -2*m**2 + i*m**2 - 4*m**2 - m**2. Let t(c) = -3*c. Determine s(t(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, -70, -2, -12\/199?\nAnswer: -12\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(49)\/((sqrt(28)\/sqrt(4) + sqrt(7))*5)*4 + -2).\nAnswer: -8*sqrt(7)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2. Let j(f) = 35*f**2. What is r(j(l))?\nAnswer: 4900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 5995959, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -945 - 2695. Is 7 - -2 - 6 - n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(2592) + (sqrt(2592)*2 - sqrt(2592))))\/(sqrt(81)*2 + sqrt(81)))**2.\nAnswer: 1058\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -911 + 905. Sort -4, 2, c, -0.4 in decreasing order.\nAnswer: 2, -0.4, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 817 - 790. Calculate the remainder when 91 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -6 + 5 + 2*t**3 - t**3 - 27. Let g(r) = -r**2. Determine m(g(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 1 = -6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8838\/7, 1\/8, 28\/11?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -2 + -4 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124934 is divided by 41642.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5951*d. Let f(u) be the first derivative of -u**2 + 8879. What is v(f(r))?\nAnswer: 11902*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 2*m)*((4 - 3 + 1)*(-6 + 3 + 0) + 1 - 2 + 2)*(-4*m + m + 4*m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/4 - 7*t**3\/3 + 7*t**2\/2 - 7*t + 185. Calculate l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*i = -672*i - 91*i + 29716 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1115418 greater than -1115416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 2.5, -2?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2558 - 2554. Solve -74 = a*u - 66 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -163203.\nAnswer: 32640.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25795)\/(-134) + (-2)\/4. Let n = y + -30. Calculate the remainder when n is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -337, -505, -673?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1144560?\nAnswer: -1144563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 156*b**2 - 1836*b - 5780.\nAnswer: -4*(b + 5)*(b + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - u + 2311, -3*n + 3*u - 1066 = -3373. Suppose -5*r = -n - 1080. Is 61 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3788*s**3 - 72243.\nAnswer: -11364*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 + 45481489*a**2 - 29790523*a wrt a.\nAnswer: 12*a + 90962978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7170 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 2*s - 66 = 0, 4*s + 110 = 5*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -68. Suppose -2*p + 25 = 5*m, -4*p + h - 15 = 4*m. Let u = 20 + -16. Solve 2*c + u = c + 2*y, -c - 4 = -m*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*h = 288, 9 = 3*h - 6*h. Let q = g - 40. Let a = -6 + q. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*w - 154*w**2 - 157*w**2 + 310*w**2 - 7 as h*w**2 + y + o*w and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-69082)\/715 + (-2)\/11 - (-136)\/170?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**7\/315 + t**6\/45 + 2*t**5\/45 - 24*t**2 + 1. Find k such that b(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89293753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38412 and 8?\nAnswer: 76824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -641166, -641195, -641252, -641343, -641474, -641651, -641880?\nAnswer: -642167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - 3*d - 78. Let g(v) = v**2 + v + 26. Let m(p) = 7*g(p) + 2*x(p). Does 13 divide m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*k - 88 = 0. Let n(r) = r**3 + 13*r**2 - 9*r + 15. Does 32 divide n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvvuuuvvuvuu. What is prob of sequence uvv?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7ef3 (base 16) to base 9\nAnswer: -48520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -106033205 divided by -5\nAnswer: 21206641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.2, 1, 25 in descending order.\nAnswer: 25, 1, 0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**5 - 23*z. Let p(i) = 9*i**5 - 24*i. Let y(f) = 3*p(f) - 4*w(f). Find the second derivative of y(r) wrt r.\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h + 64. Let k be f(10). Let o(s) be the second derivative of s**5\/20 + 5*s**4\/12 - s**3 + s**2 - 2*s. Let a be o(k). Which is smaller: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 10*m**2 - 1. Let b be d(4). Suppose 0 = -u - 10*u + 2904. Let v = u - b. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -46 (c) 3 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 + 3\/(-135).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - 753*v**2 - 67*v**2 - 6*v + 2*v to d*v**2 + l*v + r and give d.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 - 6)*(0*v**2 + 4*v**2 - 2*v**2).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 67?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -136 (b) -2\/11 (c) -0.4 (d) 1 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*a**3 - 80 + 80 + (3*a - 7*a + 3*a)*(2*a - a**2 - 2*a) + 0*a**3 - 3*a**3 + a**3 - 6*a**3 + a**3 + 4*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuk when three letters picked without replacement from {b: 1, i: 2, k: 1, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 1. Suppose 5*i + 4 = i. Let c be h(i). Solve -8 = 4*u - c*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -143 + 146 + -1 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4 + 10)\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4536*y + 303693. Calculate b(67).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:32 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 167 and 172 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 572156.91 and 0.5?\nAnswer: 572156.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (0 - (-1 - 2)). Let v = g - -8. Is v at least as big as 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/20106 and -8\/10053.\nAnswer: 20106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:03 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/(-147)*4*(-245)\/280*156\/(-10)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 5*j = 11, 3*u - j = 13. Suppose 659 - 227 = u*m. Let k = m + -87. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, 3, 4, -0.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*y + 1547*y + 47*y)*(3 + 1 - 5)*(-3*y - y + 0*y) as f*y + m + s*y**2 and give s.\nAnswer: 6612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2020 - 2016. Let a = 283 + -264. Solve -a = -5*g - z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 5\/2, -1\/31, -2?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5231 is divided by 47?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*b - 8001 = -296*b + 4662 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, 5, 4 in descending order.\nAnswer: 5, 4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113655, -228118, -342583, -457050, -571519, -685990?\nAnswer: -800463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1116)\/2976)\/(9\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-6058)\/273 + 22)\/1.\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c + 1077?\nAnswer: 10a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 5*n)*(7 - 4 - 2) + (-3 + 4 - 4)*(0*n + 0*n + n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036192756 times 2?\nAnswer: 0.072385512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58917557*h**3 + 2*h**2 - 1548522*h - 1.\nAnswer: 353505342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3548 is divided by 1316.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from jijvjijjvvviv.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 + -5. Suppose -5*l + t = 4*r, -2*r = 4*l - 66 - 20. Suppose 5*a - 3*y = -y + 43, -5*y + 50 = 5*a. What is the remainder when r is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/91 + -2\/39. Let y = -205 + 204.7. Which is the closest to 0.2? (a) -1 (b) t (c) y (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48.35234ml?\nAnswer: 0.04835234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3\/13)*g)\/g**(-1)*(g**(2\/5)\/g*g)**(-1\/23) assuming g is positive.\nAnswer: g**(4804\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6865 + 6953 = 8*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4250 - 2970. Round k to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1052 + 1052.1. Sort 219, -0.4, 1\/4, j.\nAnswer: -0.4, j, 1\/4, 219","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 295 = -6*f + 2*f, -150 = 2*f + 4*h. Let z = 250 + f. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -378738\/133 less than -2849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-4 + sqrt(304) + -4)*-5.\nAnswer: 20 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 29. Let d be 80\/s*(-4)\/10. Solve 0 = -d*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*t + 278777 = -2622808. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7238 plus -0.4?\nAnswer: 1.3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let y be -1*((-16)\/6)\/w. Let p = 9.6 - 10.1. Which is the third smallest value? (a) 1 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164475 by -225.\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*x - 135*x + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1 minus -1.3066017?\nAnswer: -3.7933983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -101*m**6\/30 + m**4\/6 + 7*m**3\/6 - 5*m**2 + 7*m + 1. What is the second derivative of p(u) wrt u?\nAnswer: -1212*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*w = 2*a - 8, -a - 4*w = -2. Solve 8 = 2*i + 4*y + a, -5*y = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/256902012 and -64\/3.\nAnswer: 256902012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11457 is divided by 546?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 178301*m**2 - 2*m. Let f be h(1). Suppose 0 = -34*p + 25*p + f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*w**3 - 1827*w - 2*w**4 + 1986*w + 622*w**2 - 891*w.\nAnswer: -2*w*(w - 61)*(w - 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8356588 by -491564.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, h: 2, f: 2, a: 7, m: 5, q: 1}. What is prob of sequence mfhf?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -289110 divided by 46\nAnswer: -6285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3189 - -0.8.\nAnswer: -3188.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5869, 5850, 5813, 5752, 5661?\nAnswer: 5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40429183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01880795349 rounded to 5 decimal places?\nAnswer: 0.01881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 8*h**2 - 6*h - 3. Let a be n(6). Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(0*q - 3*q + q) + 2 - 21*q - 2 in the form o + p*q and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1885037750 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 0*n + 2*n)*(3 + n - 3) - 5 + 2*n**2 + 5 + (0*n + 2*n**2 + 0*n)*(8 + 10 - 6) as b + h*n**2 + r*n and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 3:05 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 180128 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from iikkirkoigkriiglrg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/600 + t**5\/75 - 4*t**4\/15 + 123*t**2 + 2. Factor a(x).\nAnswer: x*(x - 4)*(x + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25238.322 minutes?\nAnswer: 17.5266125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u - 23. Let k be v(13). Let c = k - 53. Let n(q) = 23 - 6 - q**c - 13. Calculate n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 98.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 115. Let b = i - 48. Find the first derivative of -17*j**b + 44*j**4 - 24*j**4 + 10 wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*v - o, -5*v + 187*o - 630*o - 1335 = -180*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1905, 7640, 17209, 30612, 47849, 68920, 93825?\nAnswer: 122564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 24, -0.16, 2\/263, 2\/3, -0.1?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.79471 seconds in days?\nAnswer: 0.002289290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 80016?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 715392 divided by -238464.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 28*d**2. Let r(n) = 9*n**2. Let k(p) = -5*l(p) + 16*r(p). Let f(i) = -3*i + 4. Let c(v) = -20*v + 30. Let y(s) = -2*c(s) + 15*f(s). What is y(k(h))?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2214632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - w + 2, -q - 6 = -4*q + 2*w. Suppose 16 = q*k + 2. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1773, -3559, -5347, -7137, -8929, -10723, -12519?\n\"Answer: -m**2 - 1783*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 - g + 1. Let v(n) = -n**3 - 3*n**2 + 2*n - 6. Let r be v(-4). Let y be j(r). Solve -4*k = -c - 3*c + 12, 12 = -4*k + y*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 16*k + 11*k = 48, 0 = k for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:47 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:44 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three quarters of a meter?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01521266 rounded to 4 dps?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6804 + 551150\/81. Is -1 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112387 is divided by 6900.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkkdbbbbbdkkbbddbbb. Give prob of sequence kdb.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4775 (base 8) to base 13.\nAnswer: -1219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 1 + 18*n**2 + 18*n**2.\nAnswer: 30*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-54) - (-4)\/(-18). Suppose -4*m - 53 = -p, -p - 3*p + 5*m + 168 = s. Suppose 0 = -2*y + 171 - p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by 6.\nAnswer: 230\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -44*5761082\nAnswer: -253487608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 22 - 18*m - 3*m**3 + 4*m**3 - 12*m**2 - 7*m**2. Calculate the least common multiple of 20 and k(20).\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5349.\nAnswer: 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let k be (-3)\/2 - 1\/d. Is k\/(-2 + (-74)\/(-38)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y**2 + 2*y**2)*(y - y - 2*y) + 452*y**2 + 8*y**4 - 451*y**2 + 66*y**4 + 2*y.\nAnswer: 72*y**4 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 35*f**2 + 35*f - 27. What is d(34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067487?\nAnswer: 3, 37, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 3*n**2 - 4*n + 5. Let d be b(2). Let t(q) = 4*q + 3. Let k be t(-3). Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x. Suppose 0 = -7*j + 8*j - 7. Let d be (1 - j)\/((-3)\/(-2)) - -4. Give q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 210 + 64 + 76 + 29*i.\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1748*t + 600. What is q(1)?\nAnswer: 2348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3\/2 + 107206*r**2\/3 + 1100263*r\/6 + 23815 = 0. What is r?\nAnswer: -14289, -5, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -176009\nAnswer: 5\/176009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*s = 0, s + 0*s - 44 = -4*x. Calculate the least common multiple of 80 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5026 - -5026.6. Let q = 7 - 6. Which is the third biggest value? (a) j (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389*0.1.\nAnswer: -38.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbhh when four letters picked without replacement from {b: 6, h: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -106, -3 in decreasing order.\nAnswer: 5, -3, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 40. Let x(r) = 7. Let z(d) = j(d) - 8*x(d). Determine z(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5 - 33*q**4 + 143*q**3 - 183*q**2 + 74*q = 0.\nAnswer: -37, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4+0.43117\nAnswer: -3.56883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -30, -3, 1, 20 in increasing order.\nAnswer: -30, -3, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/12 - d**3\/3 - 3*d**2\/2 + 89*d. Let r be (3 - 6)\/(4\/(-4)). Give j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 15b51?\nAnswer: -15b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 9*z**2 + 103*z + 103. What is h(9)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 1:28 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-342)\/(-57)*(-5)\/(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d + 3. Suppose 0*g = 3*g + 9. Let q = -5 - g. Let i(f) = -f + 4. Let k(r) = -2*r. Let h(v) = i(v) + 2*k(v). Determine q*h(m) + 3*a(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20718*i**2*n*z + 3*i**2*z + 29456*i*z**2 + 3*n*z**2 wrt n?\nAnswer: -20718*i**2*z + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 1474*j**2\/5 + 430412*j\/5 + 1168\/5 = 0.\nAnswer: -292, -2\/737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s - 16 = 0. Let j be s - (-6 - -7)\/((-1)\/71). Is j at least as big as 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -11\/6*h**3 - 1 - h + 0*h**2. Let x(a) = -2*a**2. Determine u(x(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241631\/7 - 310978649\/9009. What is the common denominator of -119\/90 and x?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g - 15*g + 7*g. Let r(c) = 13*c**2. Give k(r(y)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -512*a**3\/9 + 11303744*a**2\/9 + 1412986*a\/3 + 44156.\nAnswer: -2*(a - 22078)*(16*a + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 - (-3 - (-3410740)\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -24. Suppose 655 = v*h + h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 281*h**7\/105 - 105*h**4\/4 - 146*h**2 + 3. What is the second derivative of s(o) wrt o?\nAnswer: 6744*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/7 + 1826*g**3\/7 + 829909*g**2\/7 - 3341580*g\/7 + 3348900\/7.\nAnswer: (g - 2)**2*(g + 915)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2306*b**2 - 156672 wrt b?\nAnswer: -4612*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 212*x**2 - 624*x + 714. What is u(-209)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*o + 52 - 52 - 1823*o - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*i**3 + i**2 - 340*i**3 + 2*i**2 - 206 - 3*i**2 wrt i.\nAnswer: -1209*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198\/115 - -12\/23. Let g = 0.3 + -0.2. Let i = -8 + 8.3. Which is the smallest value? (a) g (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 - -14 - ((-18 + 19 - 18) + 2)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3471.964ms to seconds.\nAnswer: 3.471964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l**2 - 2*l**3 + 31*l**2 - 10*l**2 + 45 - 43 - 623*l - 6*l**2 in the form u + f*l**2 + k*l**3 + a*l and give a.\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4 - 101416*g**3 - 4960956*g**2 - 29758680*g = 0. Calculate g.\nAnswer: -25305, -42, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = 2*i - 48, 0 = 4*i + 5*v - 93. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/60 - (-1)\/4. Let p = -37\/55 + 3\/11. Which is the second smallest value? (a) -2\/3 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 39148 + 162584. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -12, -50, -124, -246?\n\"Answer: -2*q**3 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 12 = -13*p. Let m = 94 - 53. Suppose 7*d - m + p = 0. Solve 4*u - 21 + d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -282296 from -27085.76.\nAnswer: 255210.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o - 10. Let n be 3 + (o - (4 - -1)). Solve -3*j + n*j = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*636\/742. Put -5, -2\/15, u, -9, -1\/4 in descending order.\nAnswer: u, -2\/15, -1\/4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 7, r: 2, b: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157 + (-16)\/(-1) + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8432 and 64?\nAnswer: 33728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 + 34. Let r = 147 + a. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -5, 4, 0.5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**3\/6 - 20*w - 25. Let q(k) be the first derivative of n(k). Let p(g) = 8*g. Give q(p(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/17)\/v)\/(v*(v**7*v)\/v))\/(v**(-7\/6)\/((v\/(v*v\/(v*v**(-7)\/v*v))*v)\/v)) assuming v is positive.\nAnswer: v**(-1525\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464984*-35.\nAnswer: -86274440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k + 7*k**3 + 6*k**3 - k + 1 - 3*k to x*k**2 + s + n*k + y*k**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 1760?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -322487 - 3*g + 322492 - 3*g. Calculate h(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -587, -587, -595, -617, -659, -727, -827, -965?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 - 241 = -4*b + 2*y, -b + 3*y = -136. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -75. Suppose 0*j = -2*j. Suppose -56 = -2*n - 5*m, 3*m - 66 = -j*n - 3*n. What is the highest common factor of z and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 5 - 1328\/1008. Let v = z - 18\/7. Let o = -0.47 - 0.53. Which is the nearest to 0.1? (a) -2 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 379?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 83 - 11. Solve -5*w + d = -8*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 + g - 2. Let u be k(-2). Suppose 0*a - 4*a + 5*b + 149 = 0, 4*b + 175 = 5*a. Let q = u - a. Which is bigger: -11\/6 or q?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 3. Let f be u(11). Suppose -3*x - 3*b = -1614, 4*x - 2107 = -14*b + 19*b. What is the highest common divisor of f and x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*-1)\/(sqrt(48)\/sqrt(64)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.211 * 664.\nAnswer: -12756.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 20*z**2 - 3*z - 4. Let g(j) = 42*j**2 - 7*j - 7. Let h(l) = -3*g(l) + 7*q(l). Let a(f) = 1. Determine 4*a(v) + h(v).\nAnswer: 14*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 5843?\nAnswer: -5843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6*m)\/m**13 assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 at least -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 29. Let n(w) = -6*w - 37. Let p be n(v). Suppose -14*j + p + 7 = 0. Solve -q + j*q - 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 207 = 25 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 70785?\nAnswer: 70782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 517212 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8.6 (b) -165 (c) -14 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n - 19*n - 65*n - 28*n.\nAnswer: -94*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 303473, 303470, 303467?\n\"Answer: -3*n + 303476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3961585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.068 - 0.0679689. Round a to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7858176nm to kilometers.\nAnswer: 0.0000000000007858176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(10)\/sqrt(2) + 2)) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1090763\/42 + 25973. Find the common denominator of a and 45\/49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11857664 and 1729?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363061595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.19056101 to 4 dps.\nAnswer: 1.1906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2439 and -80\/99.\nAnswer: 26829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22935\/151 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwxxxxxxwwxwwyxwxxw. What is prob of picking 3 w?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352521 divided by 117507.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = -1. Let r = -7 + 10. Suppose -2*u - 2 = 0, -2*z - 5*u = -r*z + 3. Is d smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:11 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-5 - -8) + (-5 - 17) - 38)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 35*t - 2 + 33*t + 1.\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 2, 40\/9, -12\/6089?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61667 - 2?\nAnswer: 61665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121 (base 4) in base 9?\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 6*r**2 - 2. Let t be h(6). Let p = t - -5. Let z(o) = o**2 - 4*o + 1. Let j be z(4). Solve -p*f - 10 = -j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000100101000 (base 2) to base 3\nAnswer: -102122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015598643 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.7 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*t - 1 + 74*t**2 + 85*t**2 + 5*t**4 - 4*t**4 - 187*t + 78*t**2 to the form q*t + c*t**3 + m*t**4 + x + w*t**2 and give w.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 7*z - 2*z)*(10 + 2 + 0) as c + l*z and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -19 + 0 + -711 + 715.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -233. Let u(n) = -n**3 + 170 + 7*n - 335 - 7*n**2 + x. What is u(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -6279\nAnswer: -1\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 79, 5, 64578, 2, -2 in ascending order.\nAnswer: -2, 0, 2, 5, 79, 64578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/152 and (-26200)\/80*(-1)\/(-60)?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(2\/(-5) + 4\/(-40)). Let w = b + 22. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*u**5\/3 - 118*u**4\/3 + 986*u**3 - 10012*u**2\/3 + 2320*u\/3 = 0. Calculate u.\nAnswer: -29, 0, 1\/4, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -362 divided by 11\nAnswer: -362\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q**2 - 2*q + 1. Suppose -c + 5 = 4*x, -1 = 3*x - 2*c - 2. What is the units digit of w(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -26. Let y = t + -69\/4. What is the third smallest value in -1\/3, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -686.2 and -14.\nAnswer: 9606.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15*r**3 - 6*r**2 + 5*r - 4. Is 88 a factor of s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -364b05?\nAnswer: -364b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64e (base 16) in base 2?\nAnswer: 11001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-8)*136\/612?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/5 - 14*a**4\/5 - 6*a**3\/5 + 46*a**2\/5 - 28*a\/5 = 0. Calculate a.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 43*i + 1421. What is the greatest common factor of i and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 251193 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301.7 + -302. Which is the second smallest value? (a) w (b) 0.1 (c) -1\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -13. Let z = -4 + c. Which is smaller: z or 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -146*q**2. Let f(s) be the second derivative of 1\/6*s**3 + 0*s**2 + 0 - 107*s. Calculate v(f(c)).\nAnswer: -146*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174052 is divided by 852?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 1. Let g(l) = -6*l**3 - 4*l. What is 4*d(a) - g(a)?\nAnswer: 6*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h = 2, -19 = -3*a + 2*h. Suppose 0 = -3*r - a*y + 2, 3*y = 3*r - 6*r. What is the units digit of (0 - 3)*r + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 13 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47 - ((-3 - -8) + -3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2473689547 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.246137599 to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 110\/(-20))\/((-6)\/8). Solve y*b = 2*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 34.9, 3\/4, -4013?\nAnswer: 34.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1512*o - 1579. Let n(l) = -1500*l - 1582. Let r(p) = 2*n(p) - 3*y(p). What is the derivative of r(g) wrt g?\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/13966 and 61\/43222?\nAnswer: 301819226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 102*x - 661. Let w be k(-108). Sort -2, 4, w, -5, 0 in increasing order.\nAnswer: w, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1071 + -759. What is the remainder when d is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41124054 take away 830125?\nAnswer: -41954179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(1\/6). Let g be (9 - 1)\/(f + -7). Suppose -8 = g*a - 40. Solve 2*i + a = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -426*(-8)\/(80\/15)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -146, -681, -1560, -2777, -4326, -6201, -8396?\n\"Answer: g**3 - 178*g**2 - 8*g + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 g when four letters picked without replacement from {g: 3, t: 13}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/90*((-33157)\/(-355) + -94).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/6 - 539\/(-42). Let n = x + -6. Find the second derivative of 0 + 0 + 14*o**5 - 2*o + n*o wrt o.\nAnswer: 280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72.3 - 72.1. Put m, 1, -219, 5, 3 in ascending order.\nAnswer: -219, m, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11815373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(9)\/(sqrt(6)\/sqrt(2)) + 4) + 1.\nAnswer: -23 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**4 + 0*a**2 + 0*a**2)*(0 + 3 + 2) in the form z + g*a**4 + c*a**2 + y*a + k*a**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222600639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.358596335 to 2 dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k + 22*k - 390 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5 - 5*x - 195*x**3 + 6*x**2 + 194*x**3 + x. Let b(l) = -l**3 + 4*l**2 + 5. Let j be b(4). Give r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 - 13*k + 9. Let s be n(-7). Solve s*g = -2*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 21 = -0*m. Suppose 5*i + 4 = -3*h + 33, 0 = -3*h - 2*i + 17. Calculate the remainder when m is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19145 divided by -3829?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -272, -279, -298, -335, -396?\n\"Answer: -x**3 - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {m: 1, x: 5, i: 3, q: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 9*j**2 + 12*j + 8. Let n = -2308 - -2314. What is k(n)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612997117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340678159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -4*u - 2. Let o be (u\/(-15))\/((-14)\/(-35)). Suppose -5*k - 13999991 = 3*q, -2800009 = -0*k + k - o*q. What is k rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + r + 17 = 0, h + 17 = -0*h + 4*r. Let j be (-31)\/h + (-1)\/5. List the prime factors of (20\/j)\/((-16)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904621.4 hours in microseconds?\nAnswer: 3256637040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -688 minus -117.212347?\nAnswer: -570.787653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -179658 divided by 3327\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356966 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 15*b - 5588. What is the remainder when 1449 is divided by o(-68)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 1, r: 1}. What is prob of sequence fv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380951 is divided by 1380888.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 a factor of 695964575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let h(q) be the third derivative of q**4\/2 + 7*q**2. Determine h(s(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Suppose 5 = 2*s + o, 8*s - 3*s - 20 = j*o. Suppose -s*a + 3*n = -0*a - 39, -n = 4. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, d: 8, p: 1, y: 1, b: 4}. Give prob of picking 1 p, 1 d, and 1 z.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/36*30*(-9)\/(-54)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by 4284?\nAnswer: -50\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7721*i**3 + 25647*i**2 wrt i?\nAnswer: 46326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4 = 3*g + j, 20 = -4*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 455 + -445. Is j bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 1. Let g = -16.2 - -6.9. Let l = g - -9. Which is the closest to -7? (a) l (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 29*j = -10. Suppose -5*q + 15 = 0, -q = j*z + q - 100. Suppose 2*n - 274 = -0*n. Calculate the remainder when n is divided by z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79904 and 85536.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqccccccqqccccqcccc. What is prob of picking 3 c and 1 q?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:11 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 6*f**2 + f + 6. Let u be b(6). Let j = 2991 - 2990.5. Let t = 8 - 26\/3. What is the nearest to -2 in u, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 1, b: 3, d: 3, e: 3, v: 4}. Give prob of picking 1 h and 2 e.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6.17. Let v = q + -0.23. Let z be 0 - 1\/(-6)*2. Put v, -0.2, z in descending order.\nAnswer: z, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 4*l + 15. Let y be n(-6). Let q = -29 - y. Suppose q*b + 29 - 105 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12454, -12496, -12538, -12580?\nAnswer: -12622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1591785 = -7*z - 615348. Let y = z + -276491. Round y to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 84*b - 1327. Calculate z(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9124072709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299649145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 2 + 2 - 11*x in the form v + g*x and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 3. Let o be w(0). Suppose -20 + 11 = -o*r. Suppose 439 + 899 = r*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415204571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1161635428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42 from -12183943.\nAnswer: -12183985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 513*y**2 - 21*y - 15. Let s be u(-2). Calculate the highest common divisor of 126 and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 - w - 3. Let z be v(-7). Suppose -t + 5*c = 10*c - 628, -626 = -t - z*c. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**2\/2 + 5*i + 20. Calculate t(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -277, -329?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436907786?\nAnswer: 2, 7, 17, 317, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 30*j**2 - 11*j - 57. Let p be w(-15). Solve -78 = p*l - 95*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/2 (c) -0.343 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2714, -2726, -2738?\n\"Answer: -12*u - 2702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-549)\/19 - 10\/95). Suppose 0 = a - 4*a + 5*x + m, 0 = -2*a - 4*x - 10. Solve 2*r = -p + a, 8 = 4*r - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -238304.6700016 - -238304. Let t = n + 0.67. What is t rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18624 and 1.\nAnswer: 18625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 3*g, 1 = 2*l + 4*g + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + 6 + -5 + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/16*(-64)\/144. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2)\/(8\/(-24)) + -3. Solve w = -l - 4 + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -31. Let f = 26.9 + h. Which is the smallest value? (a) 5 (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -17*z**3 + 1. Give d(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 45. Suppose 3*u - 6 = 4*z, -u = z - 1 - 1. Suppose 20 = -4*v, -y + 4*v + 11 = u*v. What is the least common multiple of y and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 29 + 38 + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12 - 1521\/(-156)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 13. Let s(x) = -x**2 - 3. Let g be s(0). Calculate the remainder when m is divided by g - (20\/(-2))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20595.42 times 40\nAnswer: -823816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6395779l to millilitres.\nAnswer: 639.5779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1341, -9983, -33325, -78717, -153509, -265051?\n\"Answer: -1225*h**3 - 67*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*w - 146*w + 990 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2772 = -50*k + 57*k. Does 36 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1548)\/(-2580))\/(15\/425).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - ((-36 - -57) + (-13 - -1)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**2 - 13*x - 12. Is m(-9) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173339, 173323, 173317, 173327, 173359, 173419, 173513?\nAnswer: 173647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*n + 244, -10*n + 5*n + 1175 = 5*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 3*w**2 - 4*w + 4. Suppose -15 = -5*z - 3*q, 3*q + 2 = 3*z + 17. Suppose z = -10*y + 6*y + 16. Determine a(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20 + g - 3*g**2 - 10 - 9 + 3*g**3. Let h(p) = 2*p - 4. Let c be h(3). Is n(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 27024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887 - 2*c**3 + 5*c**3 - 440 - 447.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/7, 9742\/11, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -765.4082 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30824 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -89. Suppose 2*o + 2 = y*g, 0*o - 15 = -3*o. Factor -3\/5*x**g + 12\/5 + 12\/5*x - 3\/5*x**2.\nAnswer: -3*(x - 2)*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -36. Let x = q + -9. Suppose t - x = 4*t. Which is the second biggest value? (a) t (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1032)\/602*14\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129948228 divided by 32487057?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -6) + 1 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 10. Differentiate 47*d + 3*d**2 - 47*d - j wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9046.4571 less than 15.8695?\nAnswer: -9030.5876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 102962 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 2*s - 5. Let x be v(2). Let n(k) = -11*k + 11. Let t be n(x). Is 17 a factor of 136\/(8\/(-2)*(-11)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(200)\/sqrt(160))\/(sqrt(8)\/sqrt(50)).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12081 = 3*h. Let f = h - 24307\/6. Find the common denominator of -13\/9 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:26 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/(-62)*6\/(-63)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.4 times 8?\nAnswer: -1539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15892940 and 297760.\nAnswer: 127143520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h - 4 = 0. Suppose -20 = -3*o - 4*q, 0 = o - 3*o + h*q - 10. Sort -4, -1, o in increasing order.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)*l**(-2)*(l\/(l*l**(-3)\/l))\/l**(-1\/11) assuming l is positive.\nAnswer: l**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*y**3 + 98973*y**2 - 1763694*y wrt y?\nAnswer: 36*y + 197946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 13882.\nAnswer: -13881.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2049674 and 3702?\nAnswer: 6149022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/2 - (14 - (26 - 7)))*2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 - 5*p - 6. Let g = -36 - -35. Let r be l(g). Suppose r*b - 12*b + 984 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2165*n + 121 = -2176*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 65*b - 203. Let s be r(-68). Solve 24 = -25*c - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 827*j**3 - 83968*j**2*o - 7*j*o + 1082*j - 317 wrt j.\nAnswer: 4962*j - 167936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. Let s = 109 + -109.102. Let f = s - -0.142. What is the closest to c in f, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = w + 15, -2*r = w + w. Suppose 5*o + 3*q + r = 22, 4*q + 20 = 4*o. Solve 0 = 3*v - 3*x - 12 - 12, -3*v + o*x = -27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1947 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 19 + 4*f**2 - f**2 - 10*f)*(-2*f + 4 - 5 - 5*f).\nAnswer: -21*f**3 + 67*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + r + 9 = -2*l, -l - 2*r = 13. List the prime factors of (-118)\/(l - 6\/(-2)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -19, -229 in decreasing order.\nAnswer: 4, -0.2, -19, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-93)\/(-72))\/((-192)\/(-768))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*n + 2*n**4 + 125*n + 36 + 1143*n**2 - 1138*n**2 in the form m*n**2 + h + w*n**4 + u*n + a*n**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -127.9. Let d = k - -11.609. Let m = d - 0.72. What is m rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k - 37*k = -213 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10\/(n**(-1\/17)*n))\/(n**(-9\/4)*n**2*n) assuming n is positive.\nAnswer: n**(565\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*o - 759*o + 198*o + 215*o + 214*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(2057) + sqrt(2057) + 0)**2 + (-2*sqrt(833)*2 - sqrt(833))*2.\nAnswer: -334*sqrt(17) + 8264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5176, 9738, 14300, 18862, 23424, 27986?\nAnswer: 32548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84170714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -1\/2*v**3 + 0 - 88*v**2 - 1\/8*v**4 - 1\/12*v**5 - v. Let s(c) = -4*c**2 - 2*c - 4. Give 3*s(t) - 2*x(t).\nAnswer: -2*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59893 - 25443. List the prime factors of k.\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -16, -11, 1\/2, 2\/19?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(19500\/(-130))*9\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 19*s**2 + 14*s + 33. Let c be r(19). Suppose 308*i - c*i - 36 = 0. Solve 2*l = i*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -3007237?\nAnswer: 3007235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -1 - (3 + -1 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -283, -429, -577, -727, -879?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-5 - -12)) + 6 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 3*z + 8 + 16 + 13 + 20 + 14.\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4018.46kg?\nAnswer: 4018460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31449?\nAnswer: 3, 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582009.\nAnswer: 3, 132667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 2328515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -3, 8 in decreasing order.\nAnswer: 11, 8, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -877 - -898. What is the remainder when 87 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 41 = -5*j, 3*j + x - 31 = -j. Sort 4, j, 5 in decreasing order.\nAnswer: j, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*d = 18*d - 54 - 198. Which is the third smallest value? (a) 1 (b) d (c) 730\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48)\/sqrt(8))\/(-3*sqrt(162)).\nAnswer: 2*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.3, -71, -0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01281767 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47886554 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*o*v - 4*b*v - 4363464*b + 1746709*o*v + 26*v wrt b.\nAnswer: o*v - 4*v - 4363464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6455?\nAnswer: 5, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 - 0 - (17 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 10. Suppose 12 = -2*w - 4. Let m be u(w). What is the greatest common factor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q*q*q**(-1\/5)\/q*q*q))\/q)\/q**7)**(17\/5)*(q**(3\/2)\/q**(-3))**(-5) assuming q is positive.\nAnswer: q**(-2621\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-48)\/9 - (-9 + 10))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*-3*-1*(-10)\/60\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 7*b**2 - 3*b + 7. Let u be z(-5). What is the units digit of (-4251)\/(-6) + u\/48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-2*b**3 + 0*b**3 + 0*b**3) + (2*b - 4*b + b)*(3*b**2 + 2*b**2 - 4*b**2) - 2*b**3 + 5*b**3 + b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.94111 - -0.05889. Let o = -0.08 + 0. Is m < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/20 + 7*s**4\/12 - 7*s**3\/6 + 2*s. Let n be b(6). List the prime factors of n\/((-12)\/(-9) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 - t + 63. Determine y(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380 and 116014?\nAnswer: 1160140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o)**21\/(o**(2\/15)\/o)**44 assuming o is positive.\nAnswer: o**(-688\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -123 - (70 - (-15 - -71)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 409\/35 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleodvlloodeood. Give prob of picking 1 v and 3 e.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 5?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42*18\/216*4\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12769281, -51077124, -114923529, -204308496, -319232025, -459694116?\nAnswer: -625694769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 120 = 3*k. Calculate the remainder when k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 3*s - 29. Determine v(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -2*q**5\/5 + 9*q**4\/8 - 23*q**3\/2 + q**2\/2 + 3*q + 6. Let m(v) be the second derivative of n(v). Differentiate m(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - v + 14. Let t be k(0). Suppose 3*d = d + 8. Suppose -34 = -16*r - 37 + 67. Solve -r*b - t = 2*y, 3*y + d = -5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2592.5 and -55.9134.\nAnswer: 2536.5866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 + 1 - 1) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -8. Suppose -h + 11 = 3*l, 5*h - 4*l + 40 = -0*l. Let z = h - w. Solve -z*t + 1 = 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let h be z(-2). Suppose 13 = h*t + 33. Let x be (t + 13)\/(3\/2). Solve -k = x*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -l - 4*t - 7, -2*l + 20 = -2*t. Let o(r) = 31*r + r**3 - 13*r - 9*r**2 + 13 - 12*r - 16*r. List the prime factors of o(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 6*g**2 - g - 5. Let d be z(5). Solve 0*x + 4*x + d = -t, x + 5*t = -18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -19*o**2 - 63*o - 48. Let c(h) = 7*h**2 + 21*h + 17. Let w(r) = 11*c(r) + 4*x(r). Determine w(22).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2821816, -5643636, -8465456, -11287276, -14109096, -16930916?\nAnswer: -19752736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 260476 (base 8) to base 15\nAnswer: 1bbda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g - 135. Suppose -5*o + g = 3*r, -4*o = -2*r - 5 + 1. Solve -5*t = -0*t + 4*u + 17, -o*t + 6 = -3*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6 (b) 0.0082 (c) 0.1 (d) -23 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a - 3*a + 5*a + 0*a to w + p*a and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48433\/2442*1*6\/(-28)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 + 7*x**2 - 7*x - 7. Let a(m) = -m**3 - 2*m**2 + 2*m + 2. Suppose -8 = -p - 2. Let z be -14*(3\/p)\/(-1). What is z*a(t) + 2*c(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 17*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 315, 3.52?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -206f4 (base 16) in base 11?\nAnswer: -908a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002636616 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - (-96)\/36. Let m(f) = 0*f**n - 4*f**2 + f**2 + 4*f**2 - 2*f - 2. Determine m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(864)*-3)\/(-1*sqrt(108)*2).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 3:52 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -5.1, 49\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 14 + -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -403? (a) 0 (b) 58 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.8 + -134.2. Let l = f - -140.9999831. Round l to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (132\/(-10))\/(8\/(-20)) + 5 + -6. Solve 0 = -h*y + 46*y - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5679*l = -5673*l - 124416. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*u + 8. Let h(b) be the second derivative of 133*b**4\/4 + 2*b**3\/3 + 5*b**2\/2 + b. Let o be h(u). What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(891) + 1)**2 + (1 + sqrt(539) + sqrt(539)*-2)**2.\nAnswer: 4*sqrt(11) + 1433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 508 + -505. Let w(o) = -216*o - 171. Let y(g) = -430*g - 346. Let n(a) = c*y(a) - 5*w(a). What is the derivative of n(f) wrt f?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 394.63 - 392. Let z = k + -2.63213. Round z to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56c + -3?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 - -0.39. Let s = 0.0306 - 0.0306. Put s, v, 2\/15 in decreasing order.\nAnswer: v, 2\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000649784 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 47 = 5*a + 7, 0 = -2*a + 3*b - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m - 68*m + 166 + 140 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 2*x**2 - 3*x + 3. Let g be s(3). Suppose -28 = -g*r + 2*a + 2*a, -3*a - 12 = 0. Let n be 2 + 1 + r + 0. Are n and 7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -12*o + 7*o. Suppose -y - 4*m = -o - 4, 0 = 3*y - 2*m + 1. What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 33*z**2 + 5*z + 8. Determine d(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-35)\/(-10) - 3)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1138378 and 0.19244171.\nAnswer: 1138378.19244171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011210112 (base 3) in base 14?\nAnswer: -863a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v - 63 + 189 = 173*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3\/2 - 4431*f**2\/2 + 827349*f - 825132 = 0?\nAnswer: -1786, 1, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 46 + 5 = 0. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -29.6. Let f = -4 + c. Let d = 5 + -2. Put 1\/2, f, d in increasing order.\nAnswer: f, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(16\/36)*-1. Let d = 13 - r. What is the units digit of ((-10)\/d)\/((-2)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 15. Determine u(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 60 - 44. Calculate the highest common divisor of 468 and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (4 + -1 + -8 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201144 divided by 67048?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, -3.\nAnswer: -3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1604000 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486205 and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.909841 rounded to one decimal place?\nAnswer: 21.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2017*g - 1009*g + 1115*g**3 - 1008*g.\nAnswer: 1115*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11105711 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 23*d**2 - 43*d + 35. What is the lowest common multiple of 32 and h(21)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80.3 and -11.\nAnswer: -883.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38135687 divided by -127.\nAnswer: -300281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/161 (b) -4 (c) 12 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 6 + 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3613 in 14, 1\/3, 1\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(19) + 3 - (sqrt(19) + sqrt(304) + sqrt(304)*1 + sqrt(304) - (sqrt(171) + sqrt(19) + -2))) + 4)**2.\nAnswer: -40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g. Let b be g - (-2 - -8) - -2. Put 4, b, -3 in ascending order.\nAnswer: b, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161552 (base 7) to base 3\nAnswer: 1121200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*u = 16, 3*g - 3 - 7 = -4*u. Solve -g + 1 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004764 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1919 times -0.2\nAnswer: 383.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2, -550244 in increasing order.\nAnswer: -550244, -2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -17*d**6\/6 - 11*d**2 - 6. Find the second derivative of n(f) wrt f.\nAnswer: -340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 6 - 21. Suppose -12 = -z*b - 0*b. Solve -b*o + 5 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44013, -44021, -44029?\n\"Answer: -8*m - 44005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1. Let b(p) = -p**2 - 7*p + 5. Let n(z) = b(z) - 5*r(z). Let n(c) = 0. Calculate c.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 17 - 297*k + 55*k + 46 - 14 as g + v*k and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-25) + (-107)\/(-5). Suppose -9*c + 2*c = -y. Let m = -69 + 77. Solve -c*q + m*q + z = 23, z = 2*q - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 74 = 4*a - 8*a, 3*a - p - 56 = 0. Suppose -6 = a*z - 22*z. Let b(v) = 1. Let d(h) = 5*h + 5. Determine z*d(s) - 10*b(s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + -4 + (2 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3*s + 2*s)*(0*s**2 - 11*s**2 - 2*s**2)*(2*s + 6*s - 18*s)*(5 + 8 - 5).\nAnswer: -4160*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4172440 divided by -8?\nAnswer: 521555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/9 + 1\/(-3). Suppose 5*s - x*s = 138. Suppose 3*j = -4*i + i + s, 5*j = 20. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 1:42 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j - 20 + 21 - 3*j in the form y + n*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2 + 28\/(-12)). Suppose 3*v + r + 33 = 3*n, 5 = n. Let d = v + 60. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 >= 199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 66 - (-19 + 15 + -13 + 21)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 7*w**3 + 9*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 + 2*k. Let z be r(6). Let m(a) = -10*a + 7. Let t be m(-5). Suppose -3*n = -51 - t. What is the greatest common factor of n and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a - -51?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123868 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 337 - -147?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188878 is divided by 47218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-16)*x\/(x\/(x**(-21)\/x))*x**(-11\/6)\/x**7 assuming x is positive.\nAnswer: x**(-281\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 2*l + 13. Let s(y) = 0 + 4*y + 2*y**2 - 6 - 6 - 2*y. Let k(o) = -4*i(o) - 5*s(o). Let b be k(6). Round b to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 129682, 260586, 391490, 522394, 653298, 784202?\n\"Answer: 130904*v - 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 345 = -4*d. Let z be 23\/d + (-9)\/(-7). Is 35 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -951304*q + q**3 - 27*q**2 + 3 + 475631*q + 475648*q. Determine z(28).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 116\/(-6)*(-45)\/(-10). Let j be (12\/7)\/(-6) + 7325\/84. Let q = x + j. What is the second biggest value in 0.3, q, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - s)*(8*s**2 + 64 - 126 + 61 - s).\nAnswer: -16*s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-24)*-3)\/((-3)\/(-12)). Which is the fourth smallest value? (a) 27 (b) -2\/7 (c) p (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59760904 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 7*h**2 - 6*h + 3. Let j be m(6). Suppose j*a = 6*a + 6. What is the nearest to -4 in -3, a, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 19*g - 3. Let m = 416 - 417. Give t(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142023 (base 5) in base 4?\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*l = -34, -u + 74*u - 5*l - 42 = 75*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-2 - (-4 - 0)). Suppose -v*q = -6*q + 128. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -22*x**2 + 183*x - 3. Give w(9).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 116a5 - 38?\nAnswer: 11669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.1 (c) 2\/8003 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/2 + 2\/4. Let m = 689 + -434. Suppose -p = -5*y + m. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650975 to the power of 1\/2, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 + 17*w**3 - 8*w**3 - 7*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -293*o**2 + 87*o + 82*o - 169*o. Let l(d) be the first derivative of -d**2 + 126. Give k(l(h)).\nAnswer: -1172*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3518 and 9?\nAnswer: 31662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76254204.\nAnswer: 2, 3, 13, 167, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -65. Let u(a) = 3*a - 3. Let m be u(13). Let g = -11 + m. Calculate the remainder when g is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 8) in base 15?\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 329813300 to the nearest 1000000.\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 88.588.\nAnswer: -90.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-37)\/(-1) - (6 + -4). What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 1, 2, 227 in increasing order.\nAnswer: -4, 0.5, 1, 2, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16 and (15\/(-9))\/(224\/210)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2665338, -2665337, -2665336?\nAnswer: -2665335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 11. What is the remainder when (2\/(-4))\/((-7)\/574) is divided by i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (24 - (-6 - -15 - -3))) + -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(((-1524240)\/540)\/(-146))?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from rmkggbmbkgmrgggmkb?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - 1 - 0) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 749*r**2\/3 - 107278*r\/3 - 72520.\nAnswer: -(r - 555)*(r - 196)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4594*b - 4599*b + 1287*b**5 - 4596*b - 162 + 13785*b wrt b.\nAnswer: 25740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2*l + 0*l + 3*l) + (l + 2*l + l)*(4 + 3 - 2).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 163*f + 17. Let z be w(8). Suppose -4*y = p - z, p - 514 = -3*y + 478. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.68 - -1.68. Suppose 5 = 5*i + 20. Which is the closest to -2? (a) 1\/11 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9bd7 (base 14) in base 6?\nAnswer: -325105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 6*o + 13. Let p = 15 + o. Suppose 2*c = 6, -2*y + p*c + 41 - 7 = 0. Solve 7*q - y = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16068 = -4*x - 2*h, -2*x - 1529 + 9539 = -5*h. Let i(n) = -n**3 + 2 - 4016*n - 1 + x*n. Let c(b) = b**2 + 2*b - 1. What is c(j) + 2*i(j)?\nAnswer: -2*j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 863462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -288, -290, -292?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 + 27*u - 3. Let v be l(4). Let m be ((-16)\/v)\/((-176)\/(-616)). Solve 3*w + 0*w = 2*j - 7, 3*w = -j + m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-12) + 2\/12. Suppose -3*l = 3*j - 129, 0 = 3*j + h*j + l - 199. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 770*n - 279473. Calculate t(363).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.01, 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 475487, 951033, 1426577, 1902119, 2377659, 2853197, 3328733?\n\"Answer: -x**2 + 475549*x - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 9:56 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*h + 2248 + 9235 = 0, 3*h = 3*p - 11478. Let t = p - 632111\/165. Let s = t - 94\/1155. Is s at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, h: 1}. What is prob of sequence hs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21324144 (base 6) in base 14?\nAnswer: 126b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 29*t**2 + 35*t - 140. Is b(28) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 5)*(5*y - 3*y - 3*y) + y + 0*y - 4*y)*(0 + y + 0).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1005 + 1057. Calculate the remainder when 2389 is divided by t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*u - 308, 3*u - 484 = 3*a - 178. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -5*g**4\/12 + 200*g**2 + 3*g. Let a(x) = 9*x**2 - 15*x. Calculate c(a(j)).\nAnswer: -90*j**2 + 150*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 2*t**3 + 30*t**2 - 46*t + 20.\nAnswer: -2*(t - 2)*(t - 1)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5)*5)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3338843 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: Expand (-2 + 0 + 3)*(r - 3 + 3) + (-1 + 2 - 3)*(0 + 0 + 2)*(410 + 15*r - 410) - 18 + 8*r + 18 + r + 2*r - r + (-3 + 2 + 3)*(-2*r + 5*r - 2*r) - 4 + 4 - r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21885 and 574185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 1010, 2566, 5512, 10292, 17350, 27130, 40076?\nAnswer: 56632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/2 - 301*b\/2 = 0?\nAnswer: -301, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:35 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 29. Calculate the greatest common divisor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r - 5*o = -19, -31 = -5*r + o. Suppose 5*t = 24 + 6. Is t at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -44?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-4)*(-22)\/33. Solve -z*s - 7 = 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -5311807.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 36, 3 in descending order.\nAnswer: 36, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 37*k**2 - 14\/15*k**4 + 23\/150*k**6 + 0*k + 2\/25*k**5 + 2\/75*k**7 - 16\/15*k**3 + 0. Find s, given that w(s) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and -23906.95.\nAnswer: 40641.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8640525*t + 10317113 wrt t.\nAnswer: 8640525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Suppose 0 = -f + 2*m + 1, 0 = -a*m. Put f, 0, 0.1 in ascending order.\nAnswer: 0, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + -209. Let c(f) = -f**2 + 5*f - 2. Let p be c(6). Put p, 2, o in descending order.\nAnswer: 2, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*r + 1 - 1 - 58*r to x*r + k and give x.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 12*d**2 - 25*d + 3. Determine v(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*z - 276*z + 3*x = -140*z + 9, -28 = -4*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 1\/6*a**4 + 0*a - 1\/6*a**2 - 1 + 0*a**5 + 0*a**3 - 1\/18*a**6. Factor h(x).\nAnswer: -x*(x - 1)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75495355 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 123, 119, 115?\n\"Answer: -4*n + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 + 210. Let o(d) = -14*d**2 + 5*d - 1. Let z(i) = -3*i**2 + i. What is x*z(l) - 2*o(l)?\nAnswer: -5*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171 - 172)*(71 - -2) - -2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**4 + 12*k + 3\/5*k**5 + 0*k**2 + 40\/3*k**3 - 9. Differentiate o(u) with respect to u.\nAnswer: 12*u**3 + 80*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.17 - 0.73. Let p = -11.904 + -0.096. Let i = p - z. Which is the closest to i? (a) -3 (b) 0.5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 1:26 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 177 = 2*w, -w + 5*d = 135 - 30. Let x = -85 - w. Solve -7 = p - o, -4 = -p - 3*o + x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -586 or -605?\nAnswer: -605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*((-1*(0 + sqrt(1539)) - sqrt(1539) - (4 + 0 + sqrt(1539))) + (sqrt(1539) - (5 + (sqrt(1539) - (sqrt(1539) + -1)))**2) + sqrt(1539) + 2)*-3.\nAnswer: 340 + 81*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(0 - (-6)\/(-60)). Calculate the highest common factor of 24 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5 + 246*l**2 - 2*l - 179 wrt l.\nAnswer: 40*l**3 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 8*q + 1. Let o be g(7). Suppose -3*s - 25 = -o*s. Solve a = s*d + 14, -2*d - 10 = 3*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*m - 23*m**4 - 2*m**3 - 127*m + 3*m**3 - 2 + 58*m - m**2 in the form a*m**4 + x*m + r + q*m**2 + s*m**3 and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 1. Let k be n(2). Let c be (k\/(18\/(-52)))\/2. What is the remainder when 29 is divided by c - -2*9\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:25 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25928\/40885 - -16\/1105. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, s: 2, w: 1, g: 1, n: 2}. What is prob of sequence sb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12214 is divided by 1741.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2038568 and 14868.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = 15. Let i be 22\/w - (-18)\/(-12). Find the second derivative of -r**i + 7*r + 5*r - 6*r wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.34237 and -0.12.\nAnswer: -0.46237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7354146g in kilograms?\nAnswer: 0.0007354146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*g - 3440 = 400*g - 269*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306647 - -61?\nAnswer: 306730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 150.331 from 2.\nAnswer: -148.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 + 319. Let k = f - 97. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4240632 by -33.\nAnswer: 128504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 195*l**2 - 2224*l - 2624. Calculate v(-183).\nAnswer: 2500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/88 and 89\/1296?\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 309 - -1827. Let n = i - 1356. What are the prime factors of n?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4300*w**3 - 13501*w**3 - 13*w - 6*w + 19*w.\nAnswer: -9201*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 16. Suppose 0*q = -a*q - g + 17, 4*g = 2*q + 8. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b = 0. Suppose -a = -b*a. Solve -w + 12 = 3*f - 5*w, a = -5*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 times 3329\nAnswer: 865.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.45 + 3.55. Which is the third biggest value? (a) r (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 92.9. What is the closest to -0.1 in 0, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81960 - 163760. Round n to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 8*w + 5. Determine h(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2 - (3 + -6)) + -737 + 723.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*h - 24, -73*s + 18 = -76*s + 3*h. Solve -g - 17*g + 126 = s for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-6)*z))\/z**(-2\/9))\/(z**(-1\/4))**4 assuming z is positive.\nAnswer: z**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/158328 and -37\/234.\nAnswer: 2058264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2837208 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 7*x**2 - 5*x - 2. Let r be h(-2). Suppose -14 = 3*g - 5*g + 4*o, -4*o - 20 = r*g. What is the closest to 3 in g, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 5*f + 6. Suppose -84 = -0*v - 4*v. Let a = v + -10. Calculate the greatest common factor of f and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*o**3 + 16 - 9 - 20 wrt o.\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(-26*g - 4 + 5 + 0).\nAnswer: 26*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + k + 10 = 6, -2*l + 2*k = -8. Suppose l = -9*c + 4 + 41. Solve -s = s + c*g + 25, 5*s + 28 = -g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + 30 + -7 - -103?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 104496\nAnswer: -1\/6531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 327, 631, 889, 1101, 1267, 1387?\n\"Answer: -23*d**2 + 373*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 81*q + 30. Give i(-2).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 703, 707, 711, 715, 719?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 15583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5289*y**3 - 194*y**2 + 135.\nAnswer: 31734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25845375\/4*w + 0 + 3\/4*w**4 + 378225\/4*w**2 - 1845\/4*w**3.\nAnswer: 3*w*(w - 205)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.177278 centimeters in meters?\nAnswer: 0.08177278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.87897 to two dps.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 23*s - 1. Suppose 3*p + 6 = 4*d - 22, 0 = 3*p + 2*d + 4. Let m be p\/(-8)*2\/1. Is 5 a factor of n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91915508, -183831011, -275746514, -367662017, -459577520?\n\"Answer: -91915503*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3010310 - 2?\nAnswer: -3010312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5750 and 2854438.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -7*i + 9*i. Let z = i - -163. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = g - 223, -28*g + 235 = 5*b - 33*g. Calculate the highest common factor of 708 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 120*x. Let g be o(3). Suppose g = -10*y + 15*y. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/518347 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13326 + -13331. What is the fifth smallest value in 4, 1\/5, 2, 4\/5, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 7170*p**3 + 1350665*p**2 - 874582260*p + 74393162420.\nAnswer: 5*(p - 142)**2*(p + 859)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293618 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 2*o**6\/3 + 8*o**5\/5 - 8*o**3\/3 - 2*o**2 - 5. Solve f(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = -4. Let s = 91 + -97. Which is the second biggest value? (a) r (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 50*s + 174. Let x(c) = 19*c. What is w(n) - 3*x(n)?\nAnswer: -7*n + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53245 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -20)*(-5)\/5. Suppose 58 = -4*y + 6*y. Let x = c + y. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l**3 - 116365*l**2 + 640340*l + 349260 = 0 for l.\nAnswer: -11642, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(4*(-3)\/15)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 3 - (-1 + 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 5:03 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 6736.8\nAnswer: 3368.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26753 > 26750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -4. List the prime factors of (4\/p)\/((-8)\/204).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292 times 730\nAnswer: -213160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 192 = -l. Let p = l + -18. Let o = -87 + p. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 11:35 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 - -0.2. Let b = -0.108 - -152.108. Let f = b + -151.6. What is the second biggest value in -2, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(sqrt(475)*-3)**2.\nAnswer: 42750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 7 + 9 + 7 + 0*s.\nAnswer: -s + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19126, -19142, -19158, -19174?\nAnswer: -19190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 101, 2 in ascending order.\nAnswer: -5, 2, 18, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 m, and 1 f when four letters picked without replacement from {m: 2, p: 5, n: 5, f: 1, l: 5, t: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -368740 divided by 358?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102) + (sqrt(102) - sqrt(102)*-1))*4)\/(sqrt(60)\/(sqrt(10) + sqrt(10)*-3 + sqrt(10)))*1.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 666159604 a multiple of 2689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24090415 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/190*(-2)\/(24\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:19 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*s + j, -2*s = 3*s - 4*j - 20. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/84674 and 65\/16.\nAnswer: 677392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -20, -54, -102, -164, -240, -330?\n\"Answer: -7*o**2 + o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 1)*((-2*r + 5*r - r)*(-1 + 2 + 26*r + 45*r) + (3*r + r - 6*r)*(-4 + 4 - r)).\nAnswer: 864*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f + 2. Suppose 0*b + 35 = 5*k - 5*b, k + b = -3. Let a be m(k). Suppose -2*w - w + 18 = a. Calculate the smallest common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**3 + 131*x + 215 wrt x.\nAnswer: 3*x**2 + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4 + 2 + 8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595.6*-3.\nAnswer: 1786.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2122)\/4*-3*(-18)\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, n: 7, o: 3}. Give prob of sequence ou.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.91 + 0.09. Let a = 1 + 2. Let c = a - p. What is the second biggest value in c, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t + 5. Suppose 5*y + 0*y + 5 = 0. Let i(m) = m + 1. Determine y*a(r) + 5*i(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44187.1292 + -44195. Let r = l - -0.0308. What is r rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*j + 1054678*f**3 - 20*f**2 - 122666*j wrt f?\nAnswer: -24*f*j + 6328068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 225. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1629*x - 166 wrt x.\nAnswer: -1629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 2*s**2 + s**4 + (0*s**3 + s**3 - 4*s**3)*(-31 + 6*s + 31) to the form z*s + j*s**3 + c*s**2 + w + q*s**4 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 - 7*y**4\/24 - 5*y**3\/6 - 2*y**2. Give o(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.332825 meters to centimeters.\nAnswer: 133.2825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 77818986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 19*a - 194. Let q = a + 62. Let m(b) = 11*b**2 + b. Let l be m(-1). Calculate the highest common factor of q and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55894832.11014 - -55968138.91. Let y = 73291.8 - n. Let p = -15 - y. Round p to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + 29*o - 390 = 6*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*n**2 + 0*n**3 - 2*n + 3 - 3*n**4 + 19*n**2 - n**3 + 4*n**4 to the form i*n**4 + m*n + x + v*n**3 + a*n**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l - 12. Let q(j) = j. Let w(s) = -2 - 1 + 299*s - 293*s + 0. Let g(y) = l*q(y) + w(y). Determine g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279567, 559222, 838905, 1118628, 1398403, 1678242?\nAnswer: 1958157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46528, 46455, 46382, 46309, 46236, 46163?\n\"Answer: -73*c + 46601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1) - -4)*1. Suppose 4 = -y*n + 39. Let v(f) = f**2 - 7*f + 1. Determine v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1. Let z(y) = 3*y - 1. Determine w(g) - z(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - x**3 - 921 - 872 - 863 + 2680.\nAnswer: -3*x**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 764, -67, -1456, -3403, -5908, -8971?\n\"Answer: -279*x**2 + 6*x + 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039\/102 at least 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -374, 3\/4, -111, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - 101?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23242562*d**3\/19 + 116062814*d**2\/19 + 749738*d\/19 + 1210\/19.\nAnswer: -2*(d - 5)*(3409*d + 11)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.182371 less than 28666?\nAnswer: 28665.817629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 + 122 = 5*f + 5*g, 3*f - 5*g + 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/15 - 4\/10. Let t = -3 + h. Suppose 5*u - 24 = 3*v, v = -4*v - u - 12. Put v, t, -4 in ascending order.\nAnswer: -4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -32*k**2 + 13*k. Let p(b) = 31*b**2 - 14*b. Let c(g) = 4*d(g) + 3*p(g). Factor c(s).\nAnswer: -5*s*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from fzvzzszzvvyze?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-27)*(10 - 423\/45)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2*20\/40. Is z >= 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 20) + -8 + (-480)\/(-70) + (-15422)\/(-154)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71700 is divided by 71678?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-360)*50\/30*(60\/(-8))\/5.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 52*o - 47. Let y be t(-51). Suppose -3*k = -3*j - 6, -y*k = 2*j - 14 + 6. Solve -12*s + 15*s = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 909936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9561 - -9569. Calculate the remainder when 427 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 51*q**2 - 7*q - 43. Let i be 10\/12 + (-87)\/18. List the prime factors of x(i).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 8. Let t(x) = x + 14. Let u be t(-11). Suppose -u*a = -a. Determine f(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/4695 and 91\/163860?\nAnswer: 51288180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/26 - 918\/(-117) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (40 + 4 - 23).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 4 - 1 - 5*q**4 + 2*q**4 + 4*q**3 + 5*q**4 in the form j*q**3 + b*q + y*q**2 + t*q**4 + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.2. Let m = -1130 - -1129. Which is the closest to j? (a) 5 (b) m (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24313 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (-30 + 1 + 75 + -67)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3060263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/3 - 988882*g + 20766473\/3 = 0.\nAnswer: 7, 2966639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/8 - (7 + -1). Suppose -42 = -s*h - 3*g, -5*g = -h + 3*h - 34. Calculate the remainder when 65 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 8) in base 15?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -85*c + 1722. Let k be x(20). Solve -k*o + 18 = 62 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 666a - 1?\nAnswer: 6669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(13) + 1)**2 + -1 + sqrt(13) - (sqrt(637) - (sqrt(637) + 0 - sqrt(637)))**2).\nAnswer: -3744 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6627929, -13255880, -19883831, -26511782, -33139733?\n\"Answer: -6627951*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -26*i**3 + 2*i**2 - 1. Give t(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80 - 368*d + 68 + 410*d)*(-4*d**2 + 3*d**2 - d**2) as o*d + z*d**3 + q + t*d**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 2*i + 2. Let x(z) = -17*z**2 - 5*z - 3. Calculate -11*b(c) - 4*x(c).\nAnswer: 13*c**2 - 2*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 139*m**5 - 261040*m**4 + 129758304*m**3 - 6643917520*m**2 - 13908330800*m - 198744000 = 0. Calculate m.\nAnswer: -2, -2\/139, 60, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 327\/(-109) + 1*(0 - -5). Solve 4*k + 3*n - 4 = c, 4*k + 5*n = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2. Let j(w) = 732*w + 1. What is j(i(m))?\nAnswer: 4392*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32524.\nAnswer: 2, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1825827 = -76*r - 125*r + 11646198. List the prime factors of r.\nAnswer: 5, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124961?\nAnswer: 7, 433, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13409.7 take away 1814.3?\nAnswer: -15224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 3 - ((6 - 6) + -7 + 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 34. Let f be q(-11). Let n be (10\/(-260))\/(f\/(-6)). Which is the third smallest value? (a) 2\/13 (b) n (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -235*h**4\/24 + h**3\/6 - 1113*h**2. Let v(u) = 2*u. Give v(d(o)).\nAnswer: -470*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - 8*r**3 + 3*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3, 2*w + 3*u + 50 = 325. Suppose -n - 3*j = -w, -3*n + 369 = 7*j - 4*j. What are the prime factors of n?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 bigger than -200.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:12 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110111111000100101001 (base 2) to base 6\nAnswer: 103125453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78786542 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7121*o**2 - 1. Let v be p(-1). Let n = v + 113917\/16. Let y = 1008 - 4013\/4. Calculate the common denominator of y and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b. Let n be (0 + 1)*(-3 - 0). Let g(r) = -7*r. Let q(x) = n*g(x) + 5*v(x). Let l(p) be the second derivative of p**3\/6 + 9*p. Calculate l(q(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*v - 0*v. Let y = 2.23 - 0.23. Let i be -5 - -3 - 7\/(-6). Which is the second smallest value? (a) v (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038837.74 rounded to the nearest one hundred?\nAnswer: -1038800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/5)\/s)**(-5\/13)\/(s*s\/(s**1\/s*s)*s*s)**(3\/2))**48)**(9\/4) assuming s is positive.\nAnswer: s**(-5886\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -685, -660, -615, -544?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m = 10*m + 13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -425, -414, -399, -380, -357?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(76) + (sqrt(76) + 2 - sqrt(76)))*2 - sqrt(76)*1*6*6)*2)**2.\nAnswer: 2176*sqrt(19) + 351488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let z be n(-6). Let q(k) = -2*k - 4*k + 7*k**2 - k + 5. Let l(a) = -4*a**2 + 4*a - 3. Let d(f) = z*q(f) + 10*l(f). Determine t so that d(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/30)\/(-1))\/((-19)\/(-190)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-988)\/286)\/19 + (-2 - (-819)\/330)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:54 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4254*j**2 - 4*j + 38. Let u be p(-9). Round u to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591\/394*28\/(-609)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10734520 to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2446*z. Let o(m) = 2*m. Calculate x(o(b)).\nAnswer: -4892*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640123.\nAnswer: 11, 58193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, -0.03, 14, 0.07, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 6062.8\nAnswer: -363.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8867.7 plus -4?\nAnswer: -8871.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 12*y**2 + 3*y - 30. Let r be -2*(-33)\/6 - -1. What is the units digit of j(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 918918\/8 + 12\/(-16). Suppose -i - 11136 = -3*d. What is d rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2516 - 2466. Solve w = -2*f - 3*s + 55, 4*f + 4*s = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669060?\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 7) in base 15?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10844672 and 976.\nAnswer: 661524992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217455?\nAnswer: 3, 5, 7, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*j - 65*j. Let u(h) = -h**2 + 3*h - 20. Determine u(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -54 (b) 2\/7 (c) 4 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*y**5 - 907368*y**4 - 2506656114*y**3 - 1779005667924*y**2 - 1523481068088*y - 326361601008 = 0. What is y?\nAnswer: -4086, -1086, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -0.2, 1\/9, 1 in decreasing order.\nAnswer: 1, 0.17, 1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15947 + 15947.2. What is the biggest value in 2\/11, 5, g, 0, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, d: 2, n: 4}. What is prob of picking 2 n and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -171, -292, -357, -306, -79?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 1 + 3*o**2 + o**3 - 2*o**2 - 5*o**2 + 2*o**2. Let l be b(3). Factor -5*c + 0*c**2 + 4*c - l*c**2 + 5*c**2.\nAnswer: c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13882 (base 16) in base 3?\nAnswer: 11001202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = 0, 4*p + 1287 = n + 2*n. Let u = 339 + p. What is the remainder when 24 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1654*q**6 + q**5 - q**2 - 2*q - 264.\nAnswer: 198480*q**3 + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 5:02 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 42*v + 54. Let o be g(38). Calculate the greatest common divisor of 618 and o.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -808.\nAnswer: 3\/808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-81)*(-15)\/4. Let p(n) be the first derivative of 1\/5*n**5 + 3 + 1\/2*n + 7\/8*n**4 + 3\/2*n**3 + y*n**2. Factor p(g).\nAnswer: (g + 1)**3*(2*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.1. Let q = -1905 - -1901. Let k be ((-12)\/(-80))\/((-3)\/q). Which is the closest to n? (a) -2\/9 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31650 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 3 - (-1 - 4). Suppose -n - n - k = -3*c, 0 = 2*n - 4. Solve 1 = s - c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 139235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 83*m**5\/12 + m**4\/24 - m**3\/6 - m**2. Is s(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 4, v: 3, z: 3, y: 1, a: 3}. Give prob of sequence yk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {o: 1, f: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Let t = 0.228 - 0.328. Which is the nearest to -3? (a) 2\/3 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**5\/20 + 5*p**4\/3 - p**3\/6 - 4*p**2 + 7*p - 8. Let w(v) be the first derivative of o(v). What is the tens digit of w(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:21 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from boonnboobmbbxoooonyx. Give prob of sequence xymx.\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -594 or 8\/21?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9391, 9520, 9649, 9778?\n\"Answer: 129*w + 9262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.4 (b) 0.1 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(153) - sqrt(153)*2) + 2)*1)**2.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 387 = -386. What are the prime factors of (12040\/35)\/(0 + a)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 18*b = -9527. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45030 is divided by 369.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8927*w**2 + 82*w + 80. Let k be d(-40). Round k to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:32 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.8 - 35. Let t = x + -0.8. Let z = -3.2395 + 3.0395. Which is the closest to -2? (a) t (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161701c (base 13) to base 14\nAnswer: -d2ad00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*2*-3 + sqrt(1053))**2 - sqrt(1053)) + -4.\nAnswer: -9*sqrt(13) + 26321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 21. Let d be m(-8). Calculate the greatest common divisor of 171 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-81) + 16 + 13395\/(-405)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, -1, 1\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:51 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 - 251 = -19*z. Solve -b + z = -5*s, 4*s = -13 - 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2. Let c(s) be the second derivative of s**4\/4 + 5*s. Calculate c(w(r)).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15967*s**4 - 5362*s**2 + 6*s**6 + 312*s**3 + 869*s**2 - 15968*s**4 wrt s?\nAnswer: 720*s**3 - 24*s + 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4075*n**3 + 71 - 71 - 4103*n**3 + 8396*n**3.\nAnswer: 218*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*i - 32 = -337*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -104\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (2*(-2 - -1) - -3). Let u(k) be the second derivative of 1\/4*k**2 - 1\/48*k**o + 0 + k + 1\/24*k**3. Find l such that u(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 5*i**4\/12 + 154*i. Factor y(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -2)\/((490\/(-21))\/(-14))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Let z be 94\/18 - h\/9. Suppose -2*n - 6 = -z*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-6)\/45)\/((-4)\/(-18)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/10*(-1)\/(-3))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*b*j**5 + 3*b*j**3 - 48*b*j**2 - j**5 wrt j.\nAnswer: 960*b*j**2 + 18*b - 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -12. Solve -3*n = 4*j + 3, -3*j = 2*j + a*n + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 488*f**2 + 2788*f + 17. Determine k(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a**2)*(3*a + 0*a + 0*a + (-a + 0*a + 2*a)*(1 - 26 - 13)).\nAnswer: -70*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {q: 3, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h*k - 16581166*h + 2281997*k wrt k.\nAnswer: -5*h + 2281997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 50851.5 days?\nAnswer: 7264.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14*x\/x**(-1\/7)*(x**(-18)\/x)\/((x*(x**(5\/8)\/x)\/x)\/x))**(-11\/4) assuming x is positive.\nAnswer: x**(1529\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 + 0*g**2)*(-5*g**3 + 3*g**3 - 6*g**3) + 7*g**5 + 8*g**5 + 26*g - 26*g.\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**8\/80 + 5*y**4\/24 + 2*y**3 - 12*y. Let q(t) be the second derivative of h(t). Differentiate q(f) wrt f.\nAnswer: -84*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-5) - (-12)\/(2 + -4). Is ((-80)\/(-28))\/(i\/(-21)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(720) - sqrt(720)*1))\/(-1*sqrt(16)\/(sqrt(20)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-2))**(-15\/7)\/(d**(1\/5)*d*(d\/d**(-4\/7))\/d) assuming d is positive.\nAnswer: d**(-437\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*(-32)\/(-156).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 6*z + 34. Let t be o(-11). Suppose 2*w - w = t. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/sqrt(3))\/sqrt(3) - (sqrt(19) - (sqrt(19) + (-5 + sqrt(19)*1 - sqrt(19)))))**2*6.\nAnswer: -60*sqrt(19) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 80, 149, 218, 287, 356?\n\"Answer: 69*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose -4*s - 4*c = 24, -r*s = c + 7 - 0. What are the prime factors of 1 + 1\/(s\/(-11))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z - 57*z - 3*z)*(-3*z - z**3 + 3*z + (0*z - 5*z + 3*z)*(-2*z**2 - 2*z**2 + 5*z**2) - 2*z**3 + 5*z**3 + 23*z**3).\nAnswer: -1081*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231693 - 231694.57933. Let y = f + 1.58. Round y to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5204411 (base 7) in base 3?\nAnswer: -1011200012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 45. Let q be l(22). Let c be 8*(1 + q\/6). What are the prime factors of c\/21*(-5 - -12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 304*c**4 - 220*c + 5 - 158*c**4 - 117*c**4 wrt c?\nAnswer: -6948*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15988 + 15987.12039. Let m = -14.12 + 15. Let d = p + m. What is d rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*v**3 - 26*j**3*v**2 + 1999*j**3 + 2*j**2*v**2 - 25*v**3 + 7*v**2 - 196 wrt j.\nAnswer: 12*v**3 - 156*v**2 + 11994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 2*q - 3. Let r be s(1). Let y be 4*57\/84 + r. Let l be -1 - (-22)\/9 - 1. Are l and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -1, -11, 7, 65, 175?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5249729\/159 + 33017. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -8. Let k = -5 + r. Solve -4*p = -2*p - k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 + 220 = 3*l - 5*r, -15*l - 4*r - 7 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*i - 21, -2*y - i - 4*i = 11. Find the third derivative of -y*z**3 + 2*z**2 - 6*z**2 + 2*z**2 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (5 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56512885433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 1:44 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - n. Let w be y(1). Suppose w = 2*k - 3. Suppose -k*q - 4 = -4*l - 28, -q = l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -18 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upr when three letters picked without replacement from {r: 1, u: 1, e: 2, v: 1, i: 1, p: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -7*g + 3*g + 92, 2*g = s - 14. Suppose 3*k - 119 - 61 = 0. What is the greatest common divisor of k and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijhh when four letters picked without replacement from {i: 4, n: 1, j: 1, h: 3, z: 1, r: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y\/(y**(-4)\/y)))))**(5\/4)*(y\/y**(-1\/5))**(-8\/3) assuming y is positive.\nAnswer: y**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.3 (b) 81\/8233 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25875, 103539, 232979, 414195, 647187?\nAnswer: 931955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48927588, -48927592, -48927596, -48927600?\n\"Answer: -4*x - 48927584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -346609820 rounded to the nearest 100000?\nAnswer: -346600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4196 is divided by 3759.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.947917l in millilitres?\nAnswer: 9947.917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = 2*l + 21, -4*v - 96 = 5*l. Let j be 4 - 18\/(-4)*392\/(-21). Let p = v - j. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-1)\/(sqrt(3) - 1*sqrt(12)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-186 - 47*t - 25*t + 71*t).\nAnswer: t + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 8*y**2 + 9*y + 2. Let l be t(-9). Suppose -8 = -2*u - k, 0 = l*u - 2*k - 23 + 27. Solve 4*j - u*p = 2*p, -2*p + 18 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 171*h**7\/7 + 55*h**3 - 493. Find the third derivative of n(g) wrt g.\nAnswer: 20520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2128 times 67873\nAnswer: -144433744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135) - 3*-5*sqrt(135) - sqrt(135) - sqrt(135))\/(-6*sqrt(5)*5).\nAnswer: -7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -94938204 divided by -2?\nAnswer: 47469102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6865599 microseconds to milliseconds.\nAnswer: 0.0006865599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 47, 35, 21, 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 4*w = 12, 574 - 577 = -w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*(-128)\/(-96). Let r(x) = x**3 - 4*x**2 + 1 - s*x**2 - 48*x + 50*x. Give r(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0701195 and 0.1?\nAnswer: -0.00701195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.13 + -1.1300009. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(0\/(-2) + -1). Suppose 39*k - 436 = -16*k - 54*k. Solve 2*j - 4 = -v*i - 5, -8 = k*j + 4*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/255)\/(168\/7616)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -785, -1492, -2205, -2930, -3673, -4440, -5237?\n\"Answer: -z**3 + 3*z**2 - 709*z - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 319?\nAnswer: 5\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from kkksmsmkmkskm?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-28))\/(2\/((-8)\/(-3)))*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 694 + 307. Suppose -6*q - p = -3011. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q = -2*h - 102*q - 4, -4*h - 4*q = 4. Let w(p) be the first derivative of 4\/57*p**3 + 0*p**2 - 17 + h*p - 1\/38*p**4. Factor w(v).\nAnswer: -2*v**2*(v - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:51 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 - 784*j**2 - 10*j + 5. Let p(t) = -3*t**3 + 783*t**2 + 12*t - 6. Let r(x) = 6*c(x) + 5*p(x). Factor r(o).\nAnswer: 3*o**2*(o - 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -73. Let b = 25.6 - r. What is the biggest value in -5, -0.1, -2, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -6*f - 5*v - 18, 2*v = f - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15757908757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*k**2 + 37*k**2 - 12 + 8*k + 38*k**2 - 11*k**2 - 9*k to f + p*k + v*k**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -5, -116, -2\/13 in ascending order.\nAnswer: -116, -5, -2\/13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 1\/5, 4, -0.1 in ascending order.\nAnswer: -0.1, 1\/5, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w = -48*c + 37*c - 32*w - 338, -182 = 6*c - 4*w for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/4*(2 + -1). Let o(z) be the second derivative of 1\/20*z**5 + z + h*z**4 + 0*z**2 + 1\/6*z**3 + 0. What is the second derivative of o(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -11*j**5\/20 + 12295*j**2. Let n(o) = -9*o + 4. What is v(n(x))?\nAnswer: -2673*x**2 + 2376*x - 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -574, 27, 25, -19, 3.\nAnswer: -574, -19, 3, 25, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95978460, -95978459, -95978458, -95978457, -95978456?\nAnswer: -95978455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 2. Let m(j) = -5*j**3 + 17*j**2 - j + 3. Let b(y) = 2*y**3 - 6*y**2 - 1. Let p(g) = 8*b(g) + 3*m(g). Let a be p(-4). Calculate v(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13858 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5168 (b) -1 (c) 2 (d) -0.2 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8595, -34366, -77341, -137538, -214975, -309670, -421641?\nAnswer: -550906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 71*q - 76 = -75*q, 0 = -3*y + q + 32. Let t be (-10)\/14 - 4\/14. What is the remainder when t\/3 - (-638)\/6 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 43550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-4 + 4 + h) + 1 - 1 - h + 2 - 2 - h + (0 + 4 - 2)*(-2 + 2 + 2*h) - 13928 - 45*h + 13928.\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 329520.7m in centimeters?\nAnswer: 32952070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22283486 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 0, -5*a + 4 - 19 = z. Let v be ((-4)\/(-3))\/((-2)\/a). Suppose v*s - 3*s = 0. Solve s = 3*x + x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 7*u - 7. Let m be c(-2). Find the first derivative of 9*f**3 + 32 - m*f**3 + 22*f**3 wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -bb51a?\nAnswer: -bb50e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10054 and 2457489166?\nAnswer: 10054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 202*b**3 + 1 - 51*b**3 + 2 to the form f*b**2 + r*b**3 + m + i*b and give r.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 24. Let y be z(4). Let w be (-2)\/y + (-171)\/36. Let a = 351\/4 - 87. What is the third smallest value in w, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*v + 2*z, 4 + 0 = z. Let x be (-56)\/(-3) - (-3)\/9. Suppose 3*c = -j + x, c - 7 = -3*c - 5*j. Calculate the remainder when v is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016223674 rounded to five decimal places?\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -652 - -534 - ((-2 - -6) + 0 + -7).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.7345 years to decades.\nAnswer: 29.47345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.36676mg in kilograms?\nAnswer: 0.00000436676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10738*r**2 - 8556*r**2 - 2266*r**2 + 2339*r**2 - 2*r**3.\nAnswer: -2*r**3 - 19221*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 28, 38, 44, 46, 44?\n\"Answer: -2*s**2 + 20*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0.3 (b) -5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 8*v + 13. Let l(h) = -5*h**2 + 15*h + 25. Give -6*l(a) + 11*m(a).\nAnswer: -14*a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 874277403 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.3, 58, 682, -1\/6?\nAnswer: 682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(9)*3 + sqrt(9) - sqrt(9))*6)\/(sqrt(9)\/(sqrt(432) + ((2*sqrt(432) - sqrt(432)) + sqrt(432) - sqrt(432)) + sqrt(432))).\nAnswer: -2592*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5 + 89*b**4 + 161*b**3 - 1121*b**2 + 870*b = 0.\nAnswer: -87, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188203 is divided by 10454.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.35 - -0.15. Let x = d + -61. Let u = 1.499906 - x. What is u rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78, 150, 216, 276, 330, 378, 420?\n\"Answer: -3*w**2 + 81*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 5*u + 4*i, -22475*u + 22472*u + 72 = 3*i for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89648 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -61*u + 3. Let o(r) = -177*r + 10. Determine 8*k(n) - 3*o(n).\nAnswer: 43*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (286\/55)\/(-13) - -4*209\/1540.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/605 (b) 6 (c) 3\/5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -13. Let u = g + -2. Solve -8 = u*c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = m + 30, 4*d - 12 = 3*m + 2. Suppose -z - 14 = 2*r - 6*z, -4*z + 52 = -4*r. Let t = m - r. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2008)\/(-1255))\/((-2)\/5*1))\/((-5)\/2). Factor 32\/5 + q*w + 1\/10*w**2.\nAnswer: (w + 8)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1032, 4169, 9402, 16737, 26180, 37737, 51414?\n\"Answer: w**3 + 1042*w**2 + 4*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5454350273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - -6) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 - 54 - (-1 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 j when three letters picked without replacement from ejrrerrjjyree?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -5.7 (b) -2\/17 (c) 2 (d) -2.5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/20 + k**4\/4 + k**3\/6 - 3*k**2\/2 + k. Let c be d(3). Let t = -73\/288 - -1\/32. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/3))**(-2\/25)\/((f*(f\/f**0)\/f)\/f)**(7\/11))\/((f*f**(1\/3))**(5\/2))**(2\/33) assuming f is positive.\nAnswer: f**(-166\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 3)*(-1 + 2 + 1) + 2 - 6 + 2 - 5 - 4 + 0)*(1 - 1 + r**2)*(1 + r**2 - 1).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:27 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4)\/(-7)*-3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4032869229 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -23467, -3, -9?\nAnswer: -23467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -5 (c) -3\/2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/(-7))*(-27)\/(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 21*a**2 + 2*a - 1. Let q be u(1). What is the highest common divisor of 198 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.8 + 31. Which is the closest to -0.2? (a) j (b) 1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2926865, -2926859, -2926849, -2926835, -2926817, -2926795, -2926769?\nAnswer: -2926739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2291+4\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8064048407 to the power of 1\/4, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-8) - (-936399)\/56580?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2179735?\nAnswer: 5, 435947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -509597?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(260)*-1)\/sqrt(5))\/(-2*sqrt(196) + sqrt(4)))**2 + (sqrt(1053)*1 + -2)**2*-1.\nAnswer: -13740\/13 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-21)\/(-15))*5. Let m be 18\/((-2)\/(n*1)). What is the units digit of (-12)\/((m\/4)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/3271824 and 71\/12.\nAnswer: 3271824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18614 = -14*i + 16*i + 2*g, -16 = -4*g. List the prime factors of i.\nAnswer: 3, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7647*t + 5. Let c be w(-1). Suppose -b + 4*j - c = 0, 3*b + 22905 = -3*j - 2*j. Round b to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5426310860 to the nearest integer?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-72)*39 + 3)*4\/(-12)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6806 divided by 6.\nAnswer: 3403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 0.03 (b) 10.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 5479 - 5479. Let j(f) = -2*f**2 - 8*f. Give s(j(y)).\nAnswer: 2*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/12*-2)\/3. Let p = 2 - 4. Sort p, 12\/5, g, -4 in increasing order.\nAnswer: -4, p, g, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 1801880.\nAnswer: 12613160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 4*k - 6*k)*(-k - 2*k - 3*k) + (0 + 0 + 1)*(-3 + 3 + k**2) + (-k + k - k)*(1 - 1 - 2*k).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, -1\/4, 1.33, 0.153, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10743810, -21487662, -32231514?\nAnswer: -42975366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 3*j - 6. Let t be x(4). Let i = -1 - t. Suppose i = b - 11. What is the common denominator of b and 39\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-3)\/39 + (-5)\/((-325)\/20480)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1160, 1112, 1012, 842, 584?\n\"Answer: -3*o**3 - 8*o**2 - 3*o + 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*(-3)\/(-2). Suppose -2 = i*z - 2*m - 0, -5*z - 2*m = -30. Suppose -2*p + 0*p + 24 = 4*g, 4*p + 5*g = 33. Solve -p*v + z*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/33, -3.5, -0.2, 3 in increasing order.\nAnswer: -3.5, -0.2, 1\/33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12615, -25225, -37835, -50445, -63055?\n\"Answer: -12610*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*12\/99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265 divided by 5.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -444995*n - 30. Let o be b(6). What is o rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1\/(-3)*-3*-2. What is the first derivative of 24 + 20*l**4 - 12 - 35*l**q + 13 wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**7\/350 + m**6\/200 + 3*m**5\/100 - m**4\/8 + m**3\/5 - 16*m**2. Factor x(g).\nAnswer: -3*(g - 1)**3*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 9*m**2 - 288*m + 1132. What is the remainder when 20816 is divided by d(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2231*j**3 - 31*j**2 - 253307?\nAnswer: -6693*j**2 - 62*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pcjjpjaajpjcppjcj.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -4) + -4 + (7 + -13 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 2*j**3 - 11\/2*j**2 + 2\/3*j**4 - 2*j + 0. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(52)\/sqrt(4) + -3 + 4)**2 + ((-3*(sqrt(13) + 0))**2 + sqrt(13))*5.\nAnswer: 7*sqrt(13) + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -29, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:26 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36340 - 1)*(-3 + 40). Let s = -1954617 - u. Round s to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c + 17*c - 29*c + 9961*c**2.\nAnswer: 9961*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136143341 rounded to 5 decimal places?\nAnswer: 0.13614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/19, -0.4, 1\/37 in decreasing order.\nAnswer: 1\/37, -2\/19, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - g - 6 - 8 - 4*g.\nAnswer: -5*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a + 62*a = w + 18, -10 = -4*a - w. What is the fourth smallest value in 3\/4, 3, -3\/7, 8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.296348 - 121491261?\nAnswer: -121491261.296348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 336415365*o**2 - 735420271 wrt o?\nAnswer: 672830730*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b49 + 930e?\nAnswer: be58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -1332.\nAnswer: 5\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10368 and 1224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4 (b) -1059704 (c) -2\/7 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*c + 921 = 0, -3*c + 7*c - 358 = -2*p. Let m = -183 + p. Which is smaller: -14\/11 or m?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/3 - 2388*p**4 - 184856*p**3\/3 + 66396*p**2 + 184858*p\/3 - 64008 = 0?\nAnswer: -3556, -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d3 (base 14) in base 5?\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = j + 6, -3*k + 5 = 4*j + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) 6 (c) 18 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 - u**2 - u + 1. What is w(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + -40?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2841 - -343709?\nAnswer: 343708.7159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 29 = -2*a + 3*a, 0 = -5*a + 3*w - 57. Let z be a + 3 + (1 - -1). Does 3 divide (-84)\/8*z\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(99) + -1 - sqrt(99)) + sqrt(99) - (sqrt(99) + sqrt(99) + -3 + sqrt(99) + -5 + sqrt(99)))**2.\nAnswer: -294*sqrt(11) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201111\/766 + -18\/383. Let l = -247 + y. Is l <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 2*j**2 + 0*j**2 - 156*j - 5*j**2 as m + z*j**2 + v*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 597*u**2 - 1009*u - 366*u + 84*u - 215*u wrt u.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 8*p - 21*p = 156 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 11*g**3 - 5*g - 13*g**3 + 6*g to j*g + f*g**3 + r*g**4 + w*g**2 + v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1421 = 12*g + 1313 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 + 37 = -10*a. Calculate the highest common factor of a and 1012.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -18.1. Let f = 3.6 + -2. Let n = b - f. Is n less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590, 589, 588, 587, 586, 585?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5032)\/12 - -2)*3\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*z + 18, 0 = -z + 4*z - 9. Let k = 7 + x. Suppose -k*d + 15 = -d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 7*n - 14*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 21. Let h be b(15). Is 6 a factor of ((-16)\/h)\/(1\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83\/9 - -9. Let j = -0.4 + -0.2. Let s = j - -0.2. Sort s, -2, x in increasing order.\nAnswer: -2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9508072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - 4\/8. Suppose i = d - 126 - 11. What is d rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*s + 930 = 119*s. Let n = s + 223. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 13*f, 3*f - 2*f = -b. Solve f = 6*g + 47 - 71 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1463568756 and -3.\nAnswer: -1463568759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 13 - 17. Suppose 4*k = a + 16. Suppose w = k*w - 564. Round w to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 9*p**2 - 6*p**2 - 6*p + 4*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, r: 2, f: 2, n: 1}. What is prob of picking 1 f and 1 u?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {y: 5, m: 11}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 6.8. Let u = r - 3. Let k = 2 - u. Which is smaller: 1\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2416, -94, 0.\nAnswer: -94, 0, 2416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197996 - 140502. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, p: 1, w: 3, a: 4, r: 1, i: 4}. Give prob of picking 1 p and 1 r.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = 12. Let n = -8 - -10. What is the third derivative of a**p - 3*a**3 - 3*a**2 + a**n wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162824965 and 5662.\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-11 - (-23 + 7) - -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2. Let h(m) = -4*m**2. Let w(p) = -4*h(p) - 5*r(p). Let y(n) = 2073*n - 983*n - 1082*n. Determine y(w(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*u - 2 - 12, -4*y + u = -30. Let c be 106\/9 + y\/36. Let v be ((-2)\/(-36))\/((-6)\/c). Sort 0, v, -0.2 in ascending order.\nAnswer: -0.2, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2889 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290210665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2861 is divided by 324?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - l = 4, -6*r + 7*r + 2 = 4*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 - 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38251.\nAnswer: 29, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 1\/6*x**3 + 0*x + 1\/4*x**2 - 10. Factor c(t).\nAnswer: t*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -0.4, -255, 29, 4, 1\/23, -3?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*z - 37317, 0*z = p - 5*z - 12439. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 52. Suppose 5*v - v + y*m = 306, -5*m = 4*v - 315. Suppose 2*d - 47 = -p, 2*d - v = -d - 3*p. What is the smallest common multiple of 34 and d?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 37*l**2 + 9*l - 70. Let s(r) = 38*r**2 + 7*r - 69. Let d(j) = -3*c(j) + 4*s(j). What is the first derivative of d(w) wrt w?\nAnswer: 82*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -15*a + 44. Solve -2*t - t - 19 = -a*i, -i + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v + 400 = 159*v - 70*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**3 - 9*p**2 - 9*p + 9. Let h(d) = -3*d**3 + 4*d**2 + 4*d - 4. Suppose 70*a - 63 = 63*a. Calculate a*h(w) + 4*x(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 90, 208, 412, 708, 1102?\n\"Answer: o**3 + 37*o**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(5 + (-6*(4 + sqrt(72) + -1*(sqrt(72) + (sqrt(72) + 1 - sqrt(72)) + sqrt(72)))*-1)**2).\nAnswer: -17524 + 7776*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 3*c**2 - 4. Let f(l) = -l. Let s(b) = 2*b**3 + 2*b**2 + 2*b - 3. Let u(j) = 2*f(j) + s(j). Let t = 1220 + -1225. Determine t*u(i) + 4*k(i).\nAnswer: -2*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0151 - 0.4151. Which is the nearest to -3? (a) -1\/3 (b) 1\/6 (c) 3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*-12*(-6)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b38 (base 15) in base 14?\nAnswer: cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -136 and 20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkkkkrrkkkkmmrkkkr. Give prob of sequence kr.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (3 - (4 - -31)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 0 - (6 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -735*k**3 - k**2 + 753*k**3 + k**2 - 1 + 4 to w*k**3 + l*k**2 + v + u*k and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from mmsjuuudjmsm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*-4*2*sqrt(2880))\/(sqrt(810) + 3*sqrt(810)*-6 - ((sqrt(810) - (sqrt(810)*-1 - sqrt(810))) + sqrt(810) - sqrt(810))*-2).\nAnswer: -192*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -72. Suppose -5*f = z - 6*z - 55, -2*f = -3*z - g. Solve 0 = -3*u - 4*a - 17, -5*u = a - 2*a - f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 63. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)*p*p**(9\/5) assuming p is positive.\nAnswer: p**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 12. Let i be a(5). Suppose i*n = 2*b - 26, -2*b + 0*n + 22 = -n. Calculate the least common multiple of b and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 11*o**2 - 10 + 4 to the form t + f*o**2 + u*o and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 13*b**2 - 9*b + 31. Let c be r(7). Let v = -247 + c. Calculate the remainder when 115 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 6 - 0, 3*s = -2*f + 10. Suppose -f = -h + 10. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-16))\/(351\/(-1404))*34.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*b**2 - 14*b + 14*b + 212*b**2 + 220*b**2 + 223*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1136 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -34, -101, -226, -427?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 47\/2961*-927.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + y - 1. Let n be k(1). Suppose -n*x + 25 - 9 = 0. Suppose -m + x*m = 54. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 70*j**2 - 139*j - 182. What is f(-68)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -21. Suppose -20 = 4*k, -5*k = 4*v - 2 + 15. Suppose -z**v + 0*z**x + 0*z**3 + z = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 4 = -3*u. Suppose -q + 3*d - 5 = -5*q, d + u = 3*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*q**5 - 4\/3*q**3 + 0*q**2 + 0*q + 0 - 2\/3*q**4.\nAnswer: 2*q**3*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246263 divided by 246263?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + x**2 - x. Let g = 33 - 31. Let m(y) = 2*y**2 - 47*y - y**3 + 88*y - 43*y. Calculate g*m(l) - 3*r(l).\nAnswer: l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1496*c - 146*c**2 - 1496*c + c**2 + 1 - 1 + 2*c**2 + 3*c**2 - 4*c**2 + (-c + 0*c + 2*c)*(2*c - 3*c + 2*c))*(133 - 8*c - 133).\nAnswer: 1144*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294141 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113279187 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935.0217 millilitres to litres.\nAnswer: 0.9350217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**3 - 257*t**2 + 162*t + 541. Give a(36).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -38979899 at most -350819092\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:02 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -7?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3397.8 - -8316. What is d rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -96. What is the remainder when a is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 16) to base 15.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-18 - -3) + 7 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5158 and -7.6?\nAnswer: 8.1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(24)\/sqrt(2)))\/((sqrt(180) - sqrt(180)*-1 - sqrt(180)) + sqrt(180)) + 5.\nAnswer: sqrt(3)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -482 + 26. Let k = -8213\/18 - o. Find the common denominator of 79\/2 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 17*q**2 + 12*q - 37. What is the least common multiple of 27 and h(-16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}