diff --git "a/data/dm_maths/full_data/10738_11255.jsonl" "b/data/dm_maths/full_data/10738_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10738_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the second derivative of 19333778*q**3 + 8169073*q.\nAnswer: 116002668*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -37 + 39 + 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*g - 526 + 4554, -5*g - 1996 = -f. Calculate the least common multiple of 10 and f.\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16299 + -298724.7?\nAnswer: -315023.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s + 3 = 52*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-304)\/456*(-1248)\/(-24)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 138 - -0.21\nAnswer: 138.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321397478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15244*a**2 + 7637*a**2 + 16 - 2*a + 7627*a**2)*(-a**2 + 4*a**2 - 2*a**2).\nAnswer: 20*a**4 - 2*a**3 + 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -5. Let v be 6 - -3 - (-2 - -3). Let m = v + -3. Which is the second biggest value? (a) m (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01327952 and 675782.\nAnswer: 675781.98672048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*b**5 - 108*b**4 - 36*b**3 - 4*b**2.\nAnswer: -4*b**2*(3*b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22324 + -13700. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57715 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/(-186) + 2 + 57\/(-30) - 276\/10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -1)*((-566990060)\/104)\/(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 30 = -3*r, -28*k - 25 = 4*r - 29*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/((sqrt(11) - sqrt(176)) + sqrt(11)))\/(sqrt(56)\/sqrt(7)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (83 - -4 - 6)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/2 + 1\/(-2). Suppose -3*m + 18 = g. Solve 2*v = m*a - 2*v + 20, -v = -a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 - 21*y - 21. Let x(n) = n**2 - 5*n - 5. Let k(p) = 5*v(p) - 21*x(p). Let r(l) = -l - 6*l**2 + 3*l**2 + l. Give k(r(a)).\nAnswer: 126*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*k - 45, -32 + 4 = -2*k - 4*j. Suppose -k*s + 48 = -8. Suppose -7*x = -s*x + 805. What are the prime factors of x?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**5\/25 - 7*r**4\/20 - 2*r**3\/3 - 1450. Let w(s) = 0. Calculate s.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 109*g**3 - 189*g**2 - 39*g + 38.\nAnswer: (g - 38)*(g + 1)**2*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -448, -815, -1182, -1549?\n\"Answer: -367*b - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4746170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 33 - 27 + (-3 + 2 + 0)*(-3 + 4 + 2))*(1 + o**3 - 1) - o**3 + 4*o**2 - 4*o**2 + 3*o**3 + 0*o**3 - 5*o**3.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 34, -5, -0.5, -4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81443273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-134 - (22 - -2)) + 15 - -6) + -5?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/12 and -139\/2892.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-537)\/(-9) + (-1)\/(-3). Suppose -m - 2*k + 0*k + 1 = 0, k + u = 5*m. Calculate the greatest common divisor of 99 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (1 - 7)\/(1 - -1). Suppose 0*s + 1455 = 3*o + s, -3*o + 3*s + 1455 = q. List the prime factors of o.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-2\/7)*l))**(2\/75)\/((l**(-5\/2)*l)\/(l\/((l\/l**(-2\/11))\/l))))\/((l**0)**(-12)\/((l*(l**(-3)*l)\/l)\/l**4)) assuming l is positive.\nAnswer: l**(-42437\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51\/(-21) - -2)*(-51 + 32). Which is smaller: f or 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445030904.\nAnswer: 2, 1951, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-12)*-2 + 33\/(-4752)*51?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2900 * 1\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(132\/(-275)))\/(-35)*-4.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*g - 46 = 0, 3*i + 128*g - 32 = 130*g. Let f = 4 + -2. Let o = -0.06 + -0.34. Which is the biggest value? (a) -4 (b) o (c) i (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) 4 (b) -53 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 12, 2618 in ascending order.\nAnswer: 12, 45, 2618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5600\/(-3200)*(-144)\/14\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(-5 - 1 + 2907*i**4 - 2905*i**4) to the form k*i**3 + n*i + y*i**2 + a + s*i**4 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p - 67*p - 25*p - 77*p + 2*p.\nAnswer: -137*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*5*(-1192)\/(-1490)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -2046, -40\/89, 0 in descending order.\nAnswer: 0, -40\/89, -3\/5, -2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/779 and -97\/82.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*w**2 + 4*w**2 - 10*w**2)*((-1 + 1 - 2*w)*(-2*w - 4 + 4) + 4*w**2 + 2*w**2 - w**2) to the form v*w**3 + o + k*w**4 + q*w + a*w**2 and give k.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 4*n - 4. Let x be y(-9). Let u = 121 + x. Solve 4*d - 3*o + 32 = u, -4*d + d = -o + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {k: 4, w: 1, f: 5, m: 1, c: 3, e: 3}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.9, 4, -0.04074, -19, 0 in descending order.\nAnswer: 13.9, 4, 0, -0.04074, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32*-9 + (-4 + 2)*1. Let y = 14 - t. What is the common denominator of 2\/(y\/225)*(-16)\/(-12) and -1\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - 110101?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -202 * 2\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 113\/4. Let m = h + 43. Suppose -3*j = -5*j. Solve j = s + 2*f, -4*s + 9 = -4*f - m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 + 49. What is the highest common factor of k and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062334511 rounded to five dps?\nAnswer: 0.06233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3898294*i. Let t(d) = -2*d**2. What is t(m(u))?\nAnswer: -30393392220872*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3945172 and 499.77?\nAnswer: 3945671.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Let s(d) = -d + 3. Calculate s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(3\/(54\/(-24))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = 3*p - 14*v + 49, -4*p + 5*v - 24 = 0. Which is smaller: -330\/31 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18415922 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2286*f - 8498. Determine r(4).\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.21 - -1.1. Let k = q - -0.06. Let y = -0.15 + k. Which is the closest to 1? (a) y (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129\/(-301))\/((-9)\/(-42)*(-536)\/12).\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/120 + f**5\/20 - f**4\/12 - f**3\/6 - 12*f**2. Let k be h(2). What are the prime factors of 88 - -3*(k + 2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:59 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*h**3 + 135*h**3 + 137*h**2 + 101*h**2.\nAnswer: 279*h**3 + 238*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/40)\/(1\/2). Let j be 8\/12 + 1\/3. Put 13, n, j in ascending order.\nAnswer: n, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let p = 12.469 + -7.469. Which is the smallest value? (a) p (b) x (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r - 7*r - 3*r + 24*r - 12*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*28\/32 - 2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30901 - 6?\nAnswer: 30895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010081 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0176 * 0.21\nAnswer: -0.003696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -3226.819.\nAnswer: -3226.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 806 + -2?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52895338.\nAnswer: 2, 139, 190271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19647*d - 4*m = 19648*d - 29, -m + 26 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2558864*q**3 - 54*q + 16946?\nAnswer: 15353184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + c + 0 + 6 + 3621*c**3 - 3.\nAnswer: 3621*c**3 + c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 15) to base 11.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 83791104 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -816*j**2 - 17*j + 17.\nAnswer: -1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -3 - (3\/(-831) + 4). Let p = 838\/1939 - z. Let u = -0.85 + 0.45. What is the closest to p in 2, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4204406l to millilitres.\nAnswer: 420.4406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + c + 265 = 6*h, -2*c = -h + 68. Let p be ((-11)\/h)\/(6\/(-4)). What is the second biggest value in 0.2, p, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 - 54 = 28*w. Sort -3, -2, w, -46.\nAnswer: -46, -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 2. Let o be u(-6). Let m(k) = -13 + 21 - o + k**2 - 3*k. Determine m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92418 and 61612?\nAnswer: 184836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + p - 363 - 13 = 0, p - 72 = -s. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 3*h + 3. Let o = -3 + 1. Let n be g(o). Let v = 4548 + -4552. Sort -2, n, -3, v in descending order.\nAnswer: n, -2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -t - 20, -5*t + 8*q + 4 = 7*q. Solve t = -0*w - w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 6*y**2 + 7*y + 11. Let n be c(4). Let m(i) = 113*i - 3. Let o(a) = 75*a - 2. Let g(u) = n*o(u) - 5*m(u). Is g(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 7830224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -82. Let z(x) = x**2 - x - 1. Let a(h) = -8*h**2 + 2*h + 4. Give w*z(g) + a(g).\nAnswer: -4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 37 - 83 = 0. Is x\/(-21)*7\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/3)\/(y**(6\/5)*y)*(y*y**(1\/15))\/(y*y*y\/y**(-3\/2)*y) assuming y is positive.\nAnswer: y**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1\/12 in descending order.\nAnswer: 5, 1\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/8)\/17*24\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634 + 130 = -3*g. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -100.\nAnswer: -7\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7*(5 + 13\/(-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 (base 13) in base 7?\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - 4*s**2 + 0*s**2)*(-3*s + 3*s - 2*s**2) + (5*s**4 + 9*s**4 - 6*s**4)*(3 - 3 - 1) as t*s**3 + b*s**4 + c*s**2 + j + v*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -4 + 750\/(-36) + -2. Let u = s - -64\/3. Put 18, u, -0.5 in ascending order.\nAnswer: -0.5, u, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54734\/195 - -1318246\/4355. Let h = 23\/67 - p. Find the common denominator of -32\/11 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2506 + -833. Suppose -m = -4*n + 3*j, -j = -0 - 1. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 34. Let k(m) = 8*m**3 + 17*m. Let o(q) = 24*q**3 + 51*q. Let u(a) = z*k(a) - 6*o(a). What is the second derivative of u(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 93901 - 26147. What are the prime factors of j?\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8704312 and 12?\nAnswer: -104451744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, e: 4, q: 4, c: 5, g: 1}. Give prob of sequence ceco.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + 3 + 4 + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**3 - 4*a**2 - 2*a - 4. Let s(c) = 21*c**3 + 7*c**2 + 4*c + 7. Determine 7*h(f) + 4*s(f).\nAnswer: 14*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 2*b**4 + 2*b - 2 - b**3 + b**2 + 0*b + 3*b**3 in the form u + i*b**2 + j*b + y*b**4 + l*b**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*c + 4*c + 4*c**3 + 0*c**3 + c**2 - c**3 - 13*c**3 + 2 as y + m*c**3 + h*c**2 + f*c and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 2*f + 0*f**6 + 13\/15*f**5 + 0 + 0*f**3 + 2\/35*f**7 - 12*f**2 + 0*f**4. What is the third derivative of v(l) wrt l?\nAnswer: 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26987?\nAnswer: 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 31*k + 6. Let l be x(4). Is -70 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*s + 59*s + 54895 + 54893 - 109788.\nAnswer: 561*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37808400 rounded to the nearest one hundred thousand?\nAnswer: 37800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -19. Let d(f) = -3*f. Let z(a) = -a. Give x*z(j) - 4*d(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1552, -3108, -4666, -6226?\nAnswer: -7788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2190)\/1825*1\/4*5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-18) + ((-19324800066)\/(-36))\/(-11). What is c rounded to the nearest one million?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhtxwtywixx. What is prob of sequence hwi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*w - 113*w + 19*w.\nAnswer: -212*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-68)\/1)\/(3 + -2). Let c be 12\/(3 - x\/(-24)). Suppose -4*i = -i - c. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 + -35 + -27 - 117?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 142*l - 394. Let z be i(15). What is the highest common divisor of 56 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 858 and 5337.\nAnswer: 1526382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*x**3 + 33*f*x**2 + 2*x**3 + 50*x wrt f?\nAnswer: -x**3 + 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2407 + -0.0003. Which is the third smallest value? (a) -2\/5 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10275 divided by 3425\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 771*g**2 - 6012*g + 8964.\nAnswer: -3*(g - 249)*(g - 6)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*h = 21, -3*q - 1445*h + 1491*h = -83 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 74965.\nAnswer: -74964.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*f = -1200*f + 1415 - 8075 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 114729 from -0.1.\nAnswer: -114729.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19395300 rounded to the nearest 100000?\nAnswer: -19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m - 17*m - 17*m + 42*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 3988. Let k = -59858\/15 + g. Let p = 104\/45 + k. Which is the closest to -0.3? (a) p (b) -5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3. Let d(v) = 3*v**3 + v. Suppose -4*n - 19 = 5*w, -7 + 16 = -4*w + 3*n. What is w*i(t) + 2*d(t)?\nAnswer: -3*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 235369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 a when four letters picked without replacement from aiibbibb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 + 536. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4 - 0. Calculate the common denominator of 59\/8 and i\/(-6) + (-633)\/(-72).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -31. Let u = -4 - -4. Is n bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 40. Suppose 2*o = -5*y + i, -16*y = 2*o - 19*y - 7. What is the remainder when 95 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/(-6)*3\/(-4) and -7\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39695 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 8*u - 9. Let x be s(4). Let i be 1*(6\/(-3) + -63). What is the remainder when 49 is divided by 10\/x*i\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 208*k - 209*k + 210299. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(128) + -1*(sqrt(128) + 1) + 5 + -1)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 plus -6.565?\nAnswer: -202.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*3*10\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 103*x**3 - 3*x**2 + 3*x - 20. Let j(w) = 207*w**3 - 5*w**2 + 5*w - 38. Let m(d) = 3*j(d) - 5*n(d). What is the first derivative of m(l) wrt l?\nAnswer: 318*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = -9*x + 1806. Suppose -x = -39*j + 37*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -1001, -3200, -7441, -14396, -24737, -39136, -58265?\nAnswer: -82796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35092730503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 2. Let v = g + 6. Which is the third smallest value? (a) -2\/9 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135.057837 - 145.0578417. Let s = h - -10. Round s to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 <= 10367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 768.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 29*o + 7. Let i(s) = 115*s + 26. Let a(x) = 2*i(x) - 9*m(x). What is the hundreds digit of a(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652120 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-74)\/(-24) + -3)\/(6\/351). Let y = 257\/56 - u. What is the closest to -1 in 0.3, y, 0.18?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137874 = 7*y - 32*n + 28*n, 2*y = 3*n - 39400. Round y to the nearest one hundred.\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7 + 3 - 4) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1094, -2493, -3892, -5291, -6690?\n\"Answer: -1399*o + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.6 + -15.24607091.\nAnswer: -9.64607091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -6)\/(5\/1) + -3. Put h, -1, -7 in increasing order.\nAnswer: -7, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = j - 5*r, 2*j + 3*r = 3*j + 10330 - 10333 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166262.97667 - 166348.33. Let u = 10.35488 + s. Let t = u - -75. What is t rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 179 = 21. Let k = 58 + w. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 - 0.2700049\nAnswer: -45.2700049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1153*t + 38*t**3 + 1153*t)*(16*t - 3*t + 6*t) + (-5 - t**2 + 5)*(3*t**2 - 16 + 16) as g*t + f*t**4 + i + b*t**2 + u*t**3 and give f.\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5783856327 to the nearest one million.\nAnswer: -5784000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 32*g**3 - g**2 + 2*g. Suppose 2*n + 3*v - v - 10 = 0, 2*n + 3*v - 14 = 0. Let i be c(n). Calculate the greatest common factor of i and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 44700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2915e19?\nAnswer: -2915e17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 1 + 9 + -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-33 + 1 - -27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2 + 230\/(-70). Let o = -2 - -2.1. Let d = -2.862 - 0.138. Put d, b, o in ascending order.\nAnswer: d, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -3898*t**5\/5 + 4001*t**2\/2 + 3926. Find the second derivative of h(s) wrt s.\nAnswer: -46776*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4760 and 408.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*o**2 - 262*k**2*o**2 + 3*o**2 + 7*o - 27 wrt k.\nAnswer: -6*k**2*o**2 - 524*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 114454.426931?\nAnswer: -114451.426931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11717 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 16*k**2 - 58*k - 28. Give a(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 23*n**2 - 23*n - 26. Let h be q(24). What is the nearest to h in 0, -128, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*c - m, 12 = 3*m. Let k be 72\/16 + 116\/c. Solve 4*r + 19 = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 1. Let z(o) = -o - 1. Let v(n) = -8*n - 16. Let w(l) = -v(l) + 12*z(l). Suppose 0 = 4*b - 11*b - 182. What is b*c(p) - 6*w(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50, 104, 166, 236?\n\"Answer: 4*w**2 + 42*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**3 - 37747780*h**2 + 18873910*h**2 + 18873870*h**2.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 - 518892*v**3 - 1037832*v**2 + 4151200*v = 0. Calculate v.\nAnswer: -4, 0, 2, 129725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71330 is divided by 35663?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(x*x**0)*x\/(x**6*x)*x\/(x*x\/x**4)*(((x*x**(-6)*x)\/x)\/((x**(1\/6)*x*x)\/x))\/((x\/x**(2\/5))\/x)**(-36) assuming x is positive.\nAnswer: x**(-557\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (5 + (-21285)\/759).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 + 2*l**2 - l - 4. Give m(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 588943.\nAnswer: -1\/588943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/623, -8, -4, 0.2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/10*(-94 + -1). Let y = h - -853. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 2*v. Let k(u) = -180*u**2 - 22*u. Calculate 66*i(l) - 6*k(l).\nAnswer: 948*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1415 - 1410. Solve -v = -4*y + 9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) 2\/241 (d) 9 (e) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-13 - (-23 + 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 = 4*o + 27, 0 = -3*o - 3*n - 6. Let q(v) = -v**3 - 4*v**2 + 5*v + 2. Let k be q(o). Factor k*g**2 + 6*g + 4*g - 6*g + 2.\nAnswer: 2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 897, 6657, 22305, 52785, 103041, 178017, 282657?\n\"Answer: 824*j**3 - 8*j + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**3\/3 - 6*h**2 - 15*h - 3. What is the units digit of i(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 - -146. Suppose 3*p - 5*n = 107, 3 - 70 = -f*p - n. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.11 (b) -4 (c) -14800 (d) 1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(475))**2 - (sqrt(2736) - (sqrt(2736) + 1)*-6).\nAnswer: -34*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeb when three letters picked without replacement from {n: 1, k: 1, b: 5, e: 2, z: 2, a: 2}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 4*b + 3. Suppose -17*m + 8 = -19*m. Calculate the least common multiple of o(-3) and -4 - (m + -23 - -1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69662 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2067458 - 2072581 - 595*x**4 + 13*x - 14*x with respect to x.\nAnswer: -2380*x**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 1 = -1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -25\/18004, -8 in increasing order.\nAnswer: -8, -0.16, -25\/18004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222424 + -30?\nAnswer: -222454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*m**3*x + 272*f*m**3 - 2*f*m**2*x + 2*m**3*x - 2*m**3 - 1208*m**2 - 7*m*x + 2*x wrt m?\nAnswer: -18*f*x + 1632*f + 12*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3 - 168*g**2 + 220*g - 915. Give w(-35).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 66*x - 67*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 + -1772942412?\nAnswer: -1772942412.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.91 + -9. Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55+-6516601\nAnswer: -6516656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - y + 6*y = -23, -4*y = -12. What is the remainder when (3 + -4 + 4)\/(2\/s) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 5*d**4\/12 + d. What is the remainder when v(-2) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191787?\nAnswer: 3, 63929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 845984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3387 - 3373 = 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, 2, 12, -6.\nAnswer: -7, -6, 2, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*h**3*v**2*z**3 - h**3*v**2 + 3*h**2*v**2*z**3 + 20*h**2*v*z**3 + 2*h**2*v*z - v**2*z**3 wrt h?\nAnswer: 162*v**2*z**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 150*11\/(-264)*528\/(-360)\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477909 is divided by 1153.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 2*o - 3*o - 7*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -89*z**4 - 3*z**2 - 115*z + 3. Let o(r) = -355*r**4 - 11*r**2 - 460*r + 11. Let l(i) = -6*o(i) + 22*p(i). Find the second derivative of l(y) wrt y.\nAnswer: 2064*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-124)\/(-13702) + 1 + 189\/17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 4, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.361 + -0.061. Which is the closest to -1\/2? (a) 0.2 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**2 + 3*t - 1. Let g be m(1). Suppose 7*s = g*s - 32. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.164613 to 3 decimal places.\nAnswer: 1.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/241? (a) 1\/6 (b) 3 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*x - 10*z + 5*z, -5*x - 5*z = -30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 23664 = -b. Is 7 - b\/(7 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - sqrt(110)*-2*-1)\/sqrt(10).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(175) - (sqrt(175) + -2*sqrt(175) - sqrt(175))) + sqrt(175)*-2 + 4)**2 + (sqrt(175) + 2 + -4 - (1 + sqrt(175) + 2 - sqrt(175) - sqrt(175))).\nAnswer: 30*sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1352504 centimeters?\nAnswer: 0.001352504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**2\/2 - 2. Let f(d) = -3*d**2. Determine g(f(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d = 72 + 198 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1, -6\/5, 5 in ascending order.\nAnswer: -6\/5, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from rrwrerobw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49769 or -49235?\nAnswer: -49769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18638604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/24 - 20*q**2. Let x be s(-4). Solve -a - 10 = -3*d, -x*d - a + 20 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127070 = 62*b - 72*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 4, 10, 2.\nAnswer: -4, 2, 4, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*j**2 - 1040*j + 178*j**2 - 543*j**2 + 3*j**3 - 3 + 182*j**2 + 2 to n*j**2 + l*j**3 + u*j + r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1\/96203, -4.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78871, -78872, -78871, -78868, -78863, -78856, -78847?\nAnswer: -78836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)\/(((-10)\/(-15))\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349464814?\nAnswer: 2, 283, 617429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 31 = -q, -69 = 5*r - 5*q + 21. Let z = r + 15. Solve j + z*l = -5, l - 2*l = -j - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 123?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374427 (base 10) in base 7?\nAnswer: 3116424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 72*w**3 - w + 2. Let u be f(2). Suppose -20*m = 9*m - 261. What is the highest common factor of u and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28080363697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 179.06322 minutes?\nAnswer: 2.984387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b\/(b**(-12)*b)))*b*b**(-12)*b)\/(b**(-8)*(b*b**(1\/22))\/b) assuming b is positive.\nAnswer: b**(197\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 44*z**2 - 24. Let w(a) = -1. Determine -r(o) + 24*w(o).\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 0.09, 5, -1, -1\/2.\nAnswer: -144, -1, -1\/2, 0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467 = -16*q - 113 + 142 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -20110333?\nAnswer: -20110333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4 - 27835\/(-7618)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 36290.8283.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*r - 1359 = 0, 0 = 2*y - 5*r - 24 + 576. Let u = 384 + y. Suppose 4*t - 559 - u = 0. What is the highest common factor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24750 (base 9) to base 14.\nAnswer: -60d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 0.5 (c) 6\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - 2) - 0 - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from yblxbmbbblmylsb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + -3cd?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -6 + 368525\/5. Round v to the nearest 1000.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43901, 19, 7\/6 in descending order.\nAnswer: 19, 7\/6, -43901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.418 - -1.458. Let v = 101\/2 + -199\/4. What is the third biggest value in v, o, 2\/13, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-1)\/h)))\/(h**(2\/7)\/h))\/(h\/h**1)**(1\/15) assuming h is positive.\nAnswer: h**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3998 - -4001. Let i(j) be the second derivative of -81\/4*j**2 + 0 - 9\/8*j**4 - 3\/40*j**5 - 29*j - 27\/4*j**d. Solve i(w) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(8\/(-4))\/(-20)*182\/(-182)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 2334 - 3504 = 0. What is the greatest common factor of 38 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-26.45.\nAnswer: 185.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 16*k**2 - 23*k + 14. Let u be c(11). Let p = 474 - u. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9845290 divided by -698\nAnswer: 14105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -28 + (0 - (-5 + 20 - 2)) - -76.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021764 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1783.567 and 198.30699.\nAnswer: -1585.26001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*l + 70 = 0, -l + 126 = -5*j - 0*l. Let d = j + 37. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -14*s - 306. Let z = 53 + s. Solve 5*r = 7*r - z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -58. Solve -y = s - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 83360*g - 4 + 2 + 0.\nAnswer: 83360*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5674293298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*v + 43*v**3 - 87*v + 47*v + (-4*v**2 - v**2 + 3*v**2)*(0*v + 0*v + 2*v).\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 2. Let r be a(5). Let w(u) = u**2 + 7*u - 1. Let l be w(r). Solve 2*x = -l + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-37)*1\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.95 - 0.05. Let o be (2\/(-16))\/((-26145)\/(-336) - 79). Which is the nearest to 2\/3? (a) w (b) o (c) 5 (d) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 780 = 2*d. Calculate the greatest common factor of d and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*v - 2*v + 10, -6 = 5*k - 3*v. Suppose 246 = 2*q - k*q - c, -222 = -2*q - 5*c. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181778, 363558, 545338, 727118, 908898, 1090678?\n\"Answer: 181780*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -1.026. Let s = -0.12600059 + j. Round s to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2. Let s(k) = k + 12. Let i be s(-12). Let r be m(i). Differentiate -10*d - r*d - 7*d + 12 + 36*d with respect to d.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -548f - -e?\nAnswer: -5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*q - w, 8*q = 13*q - 2*w - 25. Let v(c) = -11*c**2 + 3*c + 7. Let s(h) = 5*h**2 - h - 4. Give q*s(t) + 3*v(t).\nAnswer: 2*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -7 - (-8 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14891 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -103?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2. Let j(t) = 2*t**2 - 2*t - 2. Let r be j(2). Let q(g) = g**3 + 7. Give r*q(v) - 7*m(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2 + 9. Let t(j) = 2*j - 5*j + 0*j. Calculate b(t(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and 8.9.\nAnswer: 12.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26623899.1 to the nearest ten thousand.\nAnswer: -26620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4 = 8*i. Let l(n) = 2*n - 7 + 4*n - 4*n - i*n. Does 5 divide l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*(-2 + (0 - 0)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 425 + -428. Let p be (9\/(-27))\/((-1)\/6). What is the closest to 7 in p, 1\/4, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -280\/733 at most 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 2379 = -25*x. Calculate the remainder when 1981 is divided by x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32847.03 weeks to days.\nAnswer: 229929.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:12 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 16)\/(0 + -1). What is the units digit of -1 - (0 - -3)*r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2299) + 3.\nAnswer: 3 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h - 6. Let c(o) = 3*o**3 + 14*o - 17. Give 11*a(z) - 4*c(z).\nAnswer: -z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 2 - 20 = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1022456927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4.257 * 0.06\nAnswer: -0.25542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*m + 275 - 226 - 2239 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553041 (base 7) in base 5?\nAnswer: 41114041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:04 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 - 15 + 4*u + 4*u**2 + u**2 + 19. Let b be w(-4). Solve -b = k - c, -5*c + 0 - 4 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 - 3*q**2 + 2*q**2 + (-2*q + 0*q + q)*(-1 + q + 1))*(1 + 3 - 2) to the form m*q + z*q**2 + l and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 162 - 357 + 191 + x**2 + 9*x. What is j(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 11:57 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6397792 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 74*((-10)\/(-4))\/5. Let h be 4\/(-14) + b\/7. Suppose -h*r + 24 = -2*r. Solve -2*g = -2*o - r, -g - 8 = -0*o + 2*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 13*x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(275) - sqrt(275)*3).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 36378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 0 = -17*o - 21*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/1631 and 37\/233.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - 0. Let k = 14 - 15. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 28) + (-1 - -1) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -295, -580, -865, -1150?\n\"Answer: -285*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 6*r + 6*r)*(52 + 7 - 25*r**2 - 32).\nAnswer: 25*r**4 - 27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-65)*(-285)\/1672*224\/24\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*q + d, 4*d - 6 = 2*d. Let i = 54 + -33. Calculate the remainder when i is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 255.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.2, -7.2 in descending order.\nAnswer: 2\/3, 0.2, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 - (0 - 7 - -19))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*sqrt(500)*-1 + (sqrt(500) - (-4 + sqrt(500)*2)**2) - -2*((sqrt(500) - (1 + sqrt(500) + -4)) + sqrt(500) - (3 + 0 + sqrt(500)))**2) + 5.\nAnswer: -2006 + 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4 + 346*p**3 + 14952*p**2 + 80264*p + 103456 = 0.\nAnswer: -106, -61, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-6 - -8) + -15 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 31*t - 7. Let a(f) = f**2 + 46*f - 10. Let o = -13352 + 13345. Calculate o*p(i) + 5*a(i).\nAnswer: -2*i**2 + 13*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36213 (base 11) to base 12.\nAnswer: 26231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7909 - 2.7909. Which is the closest to 2? (a) t (b) 9.3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 13994300*s + 55977280.\nAnswer: -5*(s - 2798864)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.076. Let q = -1578 - -1579.984. Let d = w - q. What is d rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 8*k**2 + 8*k - 2. Let j be i(7). Let v be (34 + -37)*(-1)\/3. Solve j*u + 0*a = -2*a + 23, 2*a = 3*u - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a factor of 3752980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m - 8*m**2 - 13*m - 101*m + 408*m - 265*m - 14*m.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 46 = -5*q + 30, 0 = -3*q + s + 40. Calculate the remainder when 33 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2656 and 12604048?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-942)\/2198)\/((-6)\/490)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11.21456t?\nAnswer: 11214560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 2. Suppose 51 = 3*p - b*p. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 35*s**3 - 36 + 8 + 18.\nAnswer: -35*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(-1 + (sqrt(1053) - 6*sqrt(1053)*1) - 2*(sqrt(1053) - -1*sqrt(1053))*1))**2.\nAnswer: -2132350 - 4050*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkakak. What is prob of picking 1 k and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2)*4 - 1*sqrt(1573))**2.\nAnswer: 112*sqrt(13) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*v + 1333 = 2*c - 1865, 5*v - 30 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l**2 + 2*l - 8. What is u(2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*q + 166*q - 37*d = 364, 104*q - 40 = 109*q + 3*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -102. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 divided by 2?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*o - 3*o + 11, 5*o - 25 = 0. Let b = 7 + -5. Suppose -3*s - 69 = -b*u, 3 = 3*s - 2*s. What is the highest common factor of u and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {e: 2, j: 1, l: 1, s: 1, h: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 28427505?\nAnswer: 2842750b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 0 + 173)*(3*a + 2*a**2 - 3*a)*(16 - 7*a - 16) + a**3 + a**3 + 0*a**3.\nAnswer: -2210*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122420*y - 2 - 122420*y + 350*y**2.\nAnswer: 350*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**5\/f)*f)\/(f*f**(2\/5)*f*f)*f\/(f**4*f)*f**(-3\/11)*(f\/(f*f**1))\/f*f*f\/(f\/(f*f**(-3\/7)))*f\/f**(3\/5)*f**(2\/21) assuming f is positive.\nAnswer: f**(-284\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 248.7 and -8?\nAnswer: 256.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - (23 + -24)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*s - 14, -s - 2*s = -3*o - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 2*d + 31, 3*d = -i - 4. Suppose -4*j = i*l - 7, -13 = -4*j - 4*l + 5*l. Solve j = -n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*u + 27 + 73, 4*n = -u - 26. What are the prime factors of u\/9*-2 + 910?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*n + 20, 2*u - 3*n + 2*n - 12 = 0. Let a(d) = -u - d**3 - 3 + 2*d + 4*d**2 + 2*d**2. Let o be a(6). Sort o, 1, -1 in descending order.\nAnswer: o, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 divided by -1?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 6, q: 6, w: 1}. What is prob of sequence wq?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - -2.1. Let f = 0.2 - 0.5. Put f, t, -1 in increasing order.\nAnswer: -1, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -29. Suppose -14 = -w - 2*g, m*w - 3*g = -2*w + 70. Let d = 37 - w. What is the remainder when 63 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 390 = -3*z - 60*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12672 and 4455.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b - 12668898 = 13*b - 147*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -7.2.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -75765 take away 0.175?\nAnswer: -75765.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (9 - (-5 - -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 4 = -34*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o + 24 = 67. Let p(u) = -u**3 - 12*u**2 - 6. Let a(q) = -q**2 - 1. Give o*p(d) - 6*a(d).\nAnswer: -d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 1207*k - 51173. What is s(44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329385 equal to 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (-169)\/(-13)) + (0 - 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*q + 4 - 0, 3*q = -2*t - 10. Let f = -2 - t. Let y(h) = -2*h + 4*h + f*h. Let p(s) = 2*s. Determine y(p(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -2. Solve 0*b = 2*b - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 10*z + 8. Let j be t(6). Let q = 20 - 10. Let f = j + q. Which is the biggest value? (a) -0.3 (b) -1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-10) + 36\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/3*(3 - 2). Suppose s + 1 = -p. Let n be (7\/7)\/(p\/(-2)). Solve t = 3*z - 8, 2*t + 1 + 7 = n*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1258*p**3 - 4*p + 76.\nAnswer: -7548*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 920 and 25.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36124, -87255, -138390, -189529?\n\"Answer: -2*f**2 - 51125*f + 15003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1350 + 1433.3. Let o = -81 + u. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*6.1\nAnswer: -0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 263*f + 31556. What is k(-120)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7448*g*l**2*t**3 - 1172*g*l**2 - 2*g*l*t**2 - 2*g*t**2 + 30*g*t - 4*l**2*t**3 + 2*l + t**2 wrt t.\nAnswer: 44688*g*l**2 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6 - (-231)\/39).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.12, 2\/5, -0.5, 22.4, -0.1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 7*l + 43. Suppose -12*j - 43 = -175. Let x(c) = -c**2 + 14*c - 85. Let a(o) = j*p(o) + 6*x(o). Find the first derivative of a(k) wrt k.\nAnswer: 10*k + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*5*(sqrt(63) + -2)*-2)**2*-4.\nAnswer: -19200*sqrt(7) + 107200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-409)\/2863 - ((-10)\/30 - (-1000)\/(-42))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947218 is divided by 2964?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128474?\nAnswer: 2, 64237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(-5*n + 3*n + 0*n)*(-3 + 6 - 2 - 5 + 4 - 1 + (2 + 0 - 1)*(5 - 2 + 1) + 3 - 2 - 2).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5\/z*z**(-4)\/z assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 15378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 1 - 1)*(0 + w + 0) + 2*w**2 + 4*w - 4*w + (129*w - 75*w - 93*w)*(-5*w + 4*w - w) as k*w**2 + x + r*w and give k.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, -5\/4, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -1333\/11. Let z = -0.13 - -0.03. Which is the biggest value? (a) 1 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0. Let x = -8 - -10. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0256457701253 + -0.07\nAnswer: -0.0443542298747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1333 - 1349 - (-59 - 1)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211222 (base 3) in base 4?\nAnswer: 21230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyagppaaapppsapg. What is prob of sequence xg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509 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: What is prob of picking 1 k and 2 g when three letters picked without replacement from ggygkgy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*f = 19, -5*i + 8 + 31 = 4*f. Suppose 212 = i*k - 54. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3013 - 2917. What is the greatest common factor of 216 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8496 and 57976704.\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5) - (-18)\/10. Suppose -p*s - s + 174 = 0. Let q = s + -17. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (4\/8)\/((-3)\/(-90)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 - (-5 + 17) - 2) - 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -229 + 249 + (-33 - 0)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -4 (b) -42 (c) -3 (d) -0.352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + sqrt(448)*-1)**2 - ((sqrt(448) - ((1 + sqrt(448))**2 + sqrt(448) - sqrt(448))) + 3)).\nAnswer: 56*sqrt(7) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cscmmyayymmsyaama. Give prob of picking 1 c, 1 a, and 1 s.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -9. Suppose j*i + 136 = 52*i. What are the prime factors of (-2)\/4 - (-4097)\/i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 6, e: 2, a: 3, j: 1}. Give prob of picking 2 e, 1 a, and 1 k.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 19 + 3531*m**3 - 1098*m**3 + 4*m**2 + 0*m**2. Let b be t(9). What is b rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/9 and -2 + 17\/(-4)*22\/(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 21 = 2*t - 9, -2*v = -t + 12. Factor -1\/6*r**5 + t + 1\/6*r**2 - 1\/2*r**3 + 0*r + 1\/2*r**4.\nAnswer: -r**2*(r - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -251\/4, 0.5, 18066\/11, -3\/2 in ascending order.\nAnswer: -251\/4, -3\/2, 0.5, 18066\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -229*h**4\/12 + h**3 + 3461*h**2\/2 + 3745*h. Differentiate v(o) with respect to o.\nAnswer: -458*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 + -140. Suppose 6*o - 12 = 2*o. Suppose -y*c = -o*c + 2. Solve 4*z = -c*x + 22, -2*x - 19 = -3*z - 4*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6958, 2, -3, 1, -27 in decreasing order.\nAnswer: 2, 1, -3, -27, -6958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3817 divide 342609310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1817*f*n**3*x*z - f*n**2*x**2*z + n**3 - n*x*z + 184*x**2 wrt f?\nAnswer: 1817*n**3*x*z - n**2*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006419431 rounded to seven dps?\nAnswer: 0.0006419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15*n - 77. Calculate the remainder when f(-17) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -162*p = -167*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -81*q - 33. Let g(f) be the second derivative of 5*f**3\/6 + f**2 + 213*f. What is 33*g(j) + 2*n(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 n when three letters picked without replacement from {n: 10, a: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 186588.6 months in decades?\nAnswer: 1554.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = 0, -7*n - 3*d = -4*n - 1323. Suppose o = -3, 3*x + 0*x - 2*o - n = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*(-140)\/28\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5\/5 - 2927*x**4\/5 - 356138*x**3 - 1770748*x**2 - 14140264*x\/5 - 7064288\/5 = 0.\nAnswer: -2068, -854, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -163083 != -163084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278514 is divided by 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:56 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019105 divided by -4?\nAnswer: 1019105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 199, 324, 463, 622, 807?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z - 59*z - 66 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26699208.\nAnswer: 2, 3, 1112467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/360 + w**4\/8 + w**2. Let s(f) be the second derivative of g(f). Let v(n) = 3*n. Determine s(v(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 23 = 3*g, 5*g - 2*o = 2*g - 5. Let n(k) = 5*k + 3 + g - 6*k. Determine n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18633272 divided by 6412.\nAnswer: -2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 1. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 4*a + 1. Let d be (-1)\/(4\/(-20)) + -3. Let r(n) = -n + 1. Let x(z) = d*t(z) - 6*r(z). Factor x(y).\nAnswer: 2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from vivonnvvcccvoovi.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001 (base 3) in base 5?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115667 = 94*o - 71*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3*q + 4*j**3 + 6714*j**2*q - 26*j*q - 3057*j + 25*q + 2256 wrt q?\nAnswer: j**3 + 6714*j**2 - 26*j + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/12046974 or -1?\nAnswer: -1\/12046974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1263850 divided by 5\nAnswer: -252770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 634083?\nAnswer: -634083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 6. Let h be (-48)\/28 - (-6)\/(-21). Let a be k(h). Let g(r) = 4*r + 4. Calculate g(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -666*l - 49637 + 15005 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -497 - -5a2a?\nAnswer: 5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 42980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 4*x**2 - 19*x + 14. What is the remainder when v(7) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, -6, -19.\nAnswer: -19, -6, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2\/(-16)*-1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 38*i\/5 + 24.\nAnswer: 2*(i - 15)*(i - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*b**4 - 1257 - 4398*b**3 - b**4 + 4378*b**3 with respect to b.\nAnswer: 80*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -345.\nAnswer: 1\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 7*w**2 - 6*w - 5. Let h be y(6). Let l = -111 + 107. Sort h, l, 1.\nAnswer: h, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -18 (b) 2 (c) -2639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (7 - (-10 - -7))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 297*o\/2 + 148.\nAnswer: (o + 1)*(o + 296)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 3*b**2 + 3*b)*(-2*b + 2*b - 3*b)*(6 - 1 + 6 - 2 - 2 + 6 + (1 + 2 - 1)*(2 - 5 + 0) - 1 - 2 + 2) as w*b**3 + g + x*b + c*b**2 and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38564, -77073, -115566, -154031, -192456, -230829, -269138?\n\"Answer: 2*w**3 - 4*w**2 - 38511*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(1100) + 3 + -3)*-4 + 2 + 2)**2 + -1.\nAnswer: -960*sqrt(11) + 17743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*s - 2*s + 5, r + 4*s - 5 = 0. Let l(n) = -2*n**2 - 4*n - 2. Let v be l(r). Let m = 6 + v. Which is smaller: -2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) -1 (c) -1\/7 (d) -0.0241 (e) -416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-21))\/((-2)\/6). Suppose 0*u + u = -4*w + 164, -3*w + 118 = t*u. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31783 or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a678 (base 14) in base 8?\nAnswer: -203102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjj. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)**(-1\/4))**(-49)*(z**1\/z**(-2\/7))\/(z**2*z**(5\/2)) assuming z is positive.\nAnswer: z**(-433\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -195. What are the prime factors of z?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/4 + 7*w**4 - 65*w**3\/4 - 36*w**2 + 45*w = 0.\nAnswer: -30, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2401, 2 in increasing order.\nAnswer: -2401, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.5 times 0.4?\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 3, b: 1, h: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.971 + -1.171. Which is the third biggest value? (a) 2\/7 (b) n (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18929048305 rounded to the nearest one million?\nAnswer: 18929000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 80. Let j be p(-26). Solve 2*d + 0*d - 10 = t, 3*d - j*t = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/3555 and ((-201)\/(-18))\/((-174)\/12 + 11\/1).\nAnswer: 24885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 1084533640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.796256 and -0.031.\nAnswer: -0.055683936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:42 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 9*k + 3 - 5*k + 2*k**2 + 2*k**3 + (k**2 - k**2 + 3*k**2)*(5*k - 2*k + 0*k) in the form u*k**3 + i*k**2 + p*k + o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 1, d: 1, c: 2, h: 1, b: 1}. What is prob of picking 1 d, 2 c, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8170 - 5304 - 1689 - 2365)*(0*q**3 + 3*q**3 - 2*q**3).\nAnswer: -17528*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 11*t**2 - 17*t. Calculate l(8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 + 5 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 y when four letters picked without replacement from ylllllyllllyllylflyf?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 10*b - 101. Let a be y(9). Calculate the greatest common divisor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -167138, -167135, -167132, -167129?\n\"Answer: 3*z - 167141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:11 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*a + a + 184, 300 = -5*s - 5*a. Let j be (30\/(-4) - 0)*594\/(-45). Let c = j + s. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 97 (b) 5\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 1. Let l be g(1). Let h = l - 2. Let f(r) = -3*r + 1 - h*r**2 + 2*r**3 - r**3 + 4*r**2 + 0*r**3. Give f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32724 and 8793868?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119308*m + 119309*m + 119309*m - 357923*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-36))\/(5*2\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*n - 9 = 0, 3*n + 15 = 5*f - 0*f. Suppose 1 = -w - 1, 4*w = -o - 4. Suppose 0 = -o*y + y + 75. Solve y = f*m + 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 49.94. Let c = 0.06 + t. Let s = c - 1.95. What is s rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(sqrt(100)\/sqrt(5) + (sqrt(50) - sqrt(800))\/sqrt(10)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 735842\/71 - 10364. Which is the second smallest value? (a) q (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-10)\/4)*-5. Suppose -252 = -r*l - 0*l. Suppose l = 6*w - 6. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06821 less than -5?\nAnswer: -5.06821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185*b - 20 = 1180*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13.5 * -475\nAnswer: 6412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 868086032 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 41620, -2 in descending order.\nAnswer: 41620, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -118, -248, -420, -628?\n\"Answer: o**3 - 30*o**2 + o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 71*a**2 + 4092*a + 6506. Give l(-56).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - sqrt(102)*-2)*6 + sqrt(102) + (sqrt(102)*-1 - sqrt(102))*6)\/(sqrt(864) - (sqrt(864) + sqrt(864)*-2*4)) + -5.\nAnswer: -5 + sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 + 6 = -3*z, 13 = -5*z - 4*y. What is the smallest common multiple of -2 + 228\/20 - (-6)\/10 and 12*(z + 0 + 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t - 13. Let x be l(4). Find the second derivative of 754*i - x*i**2 + 61*i**2 - 768*i - 3 wrt i.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(4 + 3 + 13)*(-4 - 1 - 3)*(3*d + 0*d - 5*d) to f*d + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-12)*70\/((-84)\/(-12))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 2. Let d(z) = 4*z - 7. Let j(f) = -2*d(f) - 7*l(f). Let i(o) = 7*o**2. Calculate i(j(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-20 - (-39 + 21))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(282\/12 - 22)\/((-9)\/24). Solve -16*y - 6*y**3 + 8\/3 + 43\/6*y**4 - 88\/3*y**a + 5\/2*y**5 = 0.\nAnswer: -2, -1, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -198*b. Let d(i) = 2576*i. Determine 5*d(f) + 64*k(f).\nAnswer: 208*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -3, 4, 11, 18, 25?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 471 - 319. What is the units digit of 6\/(-57) + 58536\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:17 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsbxxfbhbsbh. Give prob of sequence fxxs.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/60 + 19\/95 - 3*70\/(-288)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-19248667\nAnswer: 96243335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15 = -3*l, 4*k + k = -l - 5. Let x(b) = 3*b. Let f(o) be the first derivative of 2*o**2 + 2. Let n be 14*2\/(-8)*-2. Determine l*f(g) + n*x(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from pphlhlhplhlpxhphlphl.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7853147*k**2 - 4762087?\nAnswer: 15706294*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (1 - (10 - 20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5710, 5629, 5548?\n\"Answer: -81*x + 5791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*c + 53, j = 4*c - 4 + 45. Let n(z) = -3*z**2 + 64*z - 11. Let y be n(j). Let k(i) = i**3 - 10*i**2 - 5. Calculate k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -60, 0.5, 22\/39 in descending order.\nAnswer: 1, 22\/39, 0.5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -15, -14, -13, -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202044052 - -5?\nAnswer: -202044043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-2))\/((-39)\/11882). Suppose -2201 - n = -5*m. Suppose -5*k - 3*o + m = 0, -k + 117 = 5*o + 10. Calculate the remainder when k is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9 + 3. Is i - (725\/(-5) - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 0.5, -3.3, -548.1 in decreasing order.\nAnswer: 5, 0.5, -0.2, -3.3, -548.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11220, 22913, 34606, 46299?\n\"Answer: 11693*h - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = -2*c + 16, -5*r + 22 = 2*c. Is (-4)\/((-8)\/5411) - c\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99507088*g + 16220999?\nAnswer: -99507088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/(-4)*(-4)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313 + 2298. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 22\/6)*(-150)\/(-4). What is the hundreds digit of (-8)\/((-24)\/(-675))*20\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 3, e: 9, c: 2, y: 3}. What is prob of sequence cce?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-2\/37)\/j))\/j)\/(j\/((j*j\/j**(-1\/42))\/j)*j))\/(j\/(j\/((j\/(j*j**(-13))*j*j)\/j*j)))**(-28) assuming j is positive.\nAnswer: j**(652801\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2*y**2 + y. Let s be g(-3). Suppose t = s - 10. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/24 and 63\/(-105) - (-719)\/240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -6 - -9) + 275\/45.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqbvbvbvbqqbqvvkkv. What is prob of picking 2 v, 1 k, and 1 b?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12279 - -12263. What is the fourth biggest value in 0.2, -5, -3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-1)\/6 + (-153)\/27. Let d = -63 + x. Let t = d + 59. Is 7 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9339 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let n = -17 + 35. Suppose 20 = m + n. Calculate the highest common factor of m and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11371 - 2917 + 4858 = -416*c for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppzpppb. What is prob of picking 1 b and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 4}. Give prob of picking 2 f and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:51 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -7*s**3\/3 + 7*s - 1. What is the derivative of f(q) wrt q?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 39*u - 75. Let f be r(2). Solve -2*c = -5*j + 7, -5*c - f*j = -22 - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**3 - 181*f**2 + 10*f + 150. Give t(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-6 - -3)) + -9 + -1 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6549, 6547, 6557, 6585, 6637, 6719, 6837, 6997?\nAnswer: 7205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9)*x\/x**3)\/((x*x**5\/x)\/(x\/(x*x**(-4)))))\/(x**(2\/23)\/x**8)**(6\/13) assuming x is positive.\nAnswer: x**(181\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15011400 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 7. Let x be m(6). Let g(o) = 10*o + 13 - x. Let t(f) = 9*f + 2*f - 18*f + 6*f. Determine g(t(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzxz when four letters picked without replacement from {x: 17, z: 3}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 508\/3 + -168. Let s be 4\/(-10) - (1 - (-78)\/(-45)). Let -x - 4\/3*k - s*k**2 = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) -5\/6 (c) -2\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -53*t**2 + 20*t + 157. Let a(m) = -18*m**2 + 7*m + 57. Give 11*a(l) - 4*o(l).\nAnswer: 14*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7102?\nAnswer: 2, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(3\/8)*q)*q*q*((q*q*q**(4\/5)\/q)\/q)\/q)**(4\/21))**(-30\/11) assuming q is positive.\nAnswer: q**(-57\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10.28 times 0.212773\nAnswer: -2.18730644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 - 1140?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 822561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 15*t**2 + 15*t - 11. What is the units digit of y(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3390167*q**2 - 27*q - 266076557 wrt q.\nAnswer: -6780334*q - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -76*c**4 - 9892*c**3 - 312552*c**2 + 613008*c + 104544 = 0.\nAnswer: -66, -3\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 328\/3 + -108. Which is the third smallest value? (a) 0.3 (b) -2\/11 (c) i (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**6 + 460737*i**4 + 7442830*i**2 - i wrt i?\nAnswer: 1320*i**3 + 11057688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -82 + 158 + a**2 - 77. Let g(k) = 2*k - 8. Let d be g(5). What is z(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*t**4*w**2 - 8*t**2*w + 15*w**2 wrt t?\nAnswer: 240*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3071 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4347 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 87. Let r = 0.17 + -0.09. Let o = -0.18 + r. Which is the biggest value? (a) o (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76843\/5 + 15368. What is the second biggest value in -1\/3, 1\/2, b, 5, 39\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n + 5 = -5*c, c = -n - 9. Let t(h) be the second derivative of -h**5\/20 - h**4\/3 + 7*h**3\/6 - h**2 + 20*h. Give t(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 3208?\nAnswer: 35288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 57, -131 in descending order.\nAnswer: 57, -1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-50)\/12))\/((-72)\/240)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.2206 rounded to one dp?\nAnswer: -34.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-16))\/((-267)\/(-356)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {d: 10, r: 2, n: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1155, -1156, -1157?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 822 = 2*o, -4*o = -2*u + 685 - 137. Let l = u - -967. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p*r**4 + p*r**3 + 820*p*r**2 + 4*p*r - 2440955*r**3 - 11*r**2 + 2*r + 22 wrt r?\nAnswer: -24*p*r + 6*p - 14645730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from urauurr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 - -11.4. Let t = i + -8.96. Let k = t + -0.74. Which is the nearest to 2? (a) k (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22613.\nAnswer: 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpx when three letters picked without replacement from pxxxpxpx?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 76 = h. Let w be (0 + 0 - 2) + h. Let m = w - 22. What is the greatest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 25, 35, 61, 109, 185, 295?\n\"Answer: b**3 - b**2 - 4*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 61*y**2 + 18*y**2 + 30*y**2. Let q(w) = -w. Determine q(d(t)).\nAnswer: -109*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2)*2\/2. Suppose -5*d + 1281 + 569 = 5*y, -y - 4*d + 379 = h. List the prime factors of y.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u + 1. Let i(o) = 2*o**2 + 3*o + 3. Let q = 7 - 10. Let b(f) = -3 + 19*f - 9*f - 4*f - 5*f. Let r be b(q). Calculate r*l(y) + 2*i(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(77)*3 - sqrt(77)) + (sqrt(77) - (sqrt(77) - -1*sqrt(77)*-3)))\/(6*1*sqrt(21)\/sqrt(3)*6).\nAnswer: -5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-12)*8\/2*1\/35?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 15*t**2 + 5*t + 31. Calculate y(15).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.21 - -0.59. Let i = 17 - a. What is the fourth biggest value in i, -2, 1, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2367\/297 - (-120)\/3960\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a0 - -c?\nAnswer: 3ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) + 1*15. Suppose -q + r = q - 3*f, -3*q = f - 43. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 3 (b) -0.2 (c) 1\/5 (d) 2\/7 (e) -0.034 (f) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26620 is divided by 43.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.47 - -21.47. Let x = 0.07 - 0.27. What is the closest to x in 3, a, -13\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 - 205.3. Let l = 16.7 - q. Which is the biggest value? (a) -0.02 (b) 0.2 (c) 0.1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -787, -786, -785?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15*g + 58. Let h be k(-20). Let y = -199 - h. Are 2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220894539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342*l**3 + 36*l**3 + 95*l**2 + 127*l**2 wrt l?\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -145. Let i be y\/(-24) - (-2)\/(-8). Suppose -6*k + i*k + 5*x = -17, 0 = -k + 4*x + 8. What is the highest common factor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-21)))\/(z\/(z**(-11\/3)\/z))*z**(-19\/6)*(z\/(z**(4\/9)\/z)*z)\/z assuming z is positive.\nAnswer: z**(-509\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*n + 3, 4*n + 15 = -33*b + 38*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from fexxeexxf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/41)*m)\/(m\/(m*m**(-3\/14))))\/(m**(1\/2)\/m)**(7\/5) assuming m is positive.\nAnswer: m**(2062\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 10:58 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 0*l + 3*l + l**2 - 3*l. What is the units digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3444\/390 - 21868\/2485.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.01, -0.06, 0.008?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12915\/9225)\/((-98)\/(-10))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -73. Let b = -16 + a. Solve -b = -5*i + i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*s + 369*s + 9484 = -10532 + 699 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -k. Suppose c - 6 = -k, 4*d - 5*c = 185. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 87442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2 - 1 + 11*d + d**3 - 8*d**2 - 2 - d. What is the tens digit of j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*a - 50 + 43, 4*a + 5*t = 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 219 + 218 = 2*l + 442, -5*l = -5*z - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4 + 999*u**3 - 21*u**2 - 7011*u - 5994 = 0.\nAnswer: -333, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3*s*s**(-8))**31\/((s*s\/s**(-1\/4)*s)**40\/(s**(-2\/3)*s**(-3\/5)*s)) assuming s is positive.\nAnswer: s**(-3349\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 37*y + 319. Give j(-10).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j - 6*j. Suppose 265 = j*u + 2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let m = -1.68 + 2.08. What is the third smallest value in j, m, -0.02, -3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 18. Let b = -55169 + 55171. Put b, k, 0 in ascending order.\nAnswer: k, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(0 + 6\/4). Let f be ((-6)\/(-22))\/((-27)\/(-18)). Which is the closest to l? (a) f (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -18*w - 2*w. Which is greater: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 10*p**2 + 9*p - 2. Let a be c(9). Suppose -16 = -2*t + 4*b, 3*t + 2*b - 5 = 3. Put 2, a, t in descending order.\nAnswer: t, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.77 - 1.7. Let h = -0.13 - g. Let m = -0.1 + h. Is m at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 55?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -7, 1, 1\/7, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 4*r - 7*r)*(-6 + 3 + 2).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*o = -3*o - 17, 7 = -t - 3*o. Let c = t + 10. Let s be (-118)\/852 + 1\/c. Is s > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 0*l + 0*l + 2*l**3 + 3*l**3 + 2*l**3 - 3*l**3 + (-l + l - l)*(7 - 2*l**2 - 7).\nAnswer: 6*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002587 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232020012 (base 4) in base 3?\nAnswer: 1100020100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57058, 112697, 165494, 214027, 256874, 292613, 319822, 337079?\n\"Answer: -237*f**3 + f**2 + 57295*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -116357.39 to the nearest 1000.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*b = b - 54, -198 = -4*a - 2*b. Let m = a - 47. Suppose 16 = m*u - 4. Calculate the greatest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 + 149*o + 46. Let x be n(50). Put x, -3, 2, 24 in descending order.\nAnswer: 24, 2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3 + 3)*((-k - k + 3*k)*(-2 - 3 + 4) + (-2*k + 3*k - 2*k)*(-2 + 3 + 0) + 3*k + 2 - 2).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 21*s**2 + 3)*(-2*s**3 - s**3 - 2*s**3).\nAnswer: -105*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*f - 25*f + 3*t + 87, 3*t - 51 = -f. Solve 101 - f = 4*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 4*i + 1. Let g be b(3). Let l = g - 20. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 162*x + 2372. Give z(61).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375537?\nAnswer: 3, 151, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 = -4*n, -5 = -y + 6*y + 5*n. Suppose -19 = -j + x, -3*x = -6*j + 4*j + 37. Let t be 4 - 5\/(j\/28). Put y, -5, t in increasing order.\nAnswer: -5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262.6253013 rounded to one dp?\nAnswer: 1262.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Suppose 16*u - 704 = 16. Solve -25 = 6*i - 3*i + 2*c, 0 = 5*i + v*c + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 at least as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 734 divide 471096194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(70)*-1 - (sqrt(70) + -1*sqrt(70))*-5)\/(sqrt(490)*-2*-3 - sqrt(490)).\nAnswer: -2 - 2*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32302201 (base 5) in base 15?\nAnswer: 56886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -8. Suppose -2*u + u - h*f = -33, -u + 2*f + 21 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1824 and 1444.\nAnswer: 34656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**5 - 174*c**4 - 231*c**3 - 66*c**2 - 36. Let g(v) = -v**4 + v**3 - v**2 - 6. Let y(s) = 6*g(s) - q(s). Let y(d) = 0. Calculate d.\nAnswer: -1, -1\/3, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikokkikkii. Give prob of picking 2 k.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114 + 126. Solve 10 = j*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x. Let h(q) = -75*q - 2. Determine h(f(d)).\nAnswer: 450*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, 2\/5, 7, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - -31c?\nAnswer: 2e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 3. Let t be o(1). Solve 25 = -t*k + 5*p, 3*k - p = -4 - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18 >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 25*j - 21*j - 2)*(-19*j + 19*j + 6*j**2) in the form x*j**2 + l + z*j + n*j**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -46, 3.398 in increasing order.\nAnswer: -46, -0.3, 3.398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = -2*b, -5*b + 5 = -7*b - 5*c. What is the third biggest value in 3\/8, 18, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2145, 4293, 6441, 8589, 10737, 12885?\nAnswer: 15033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(-4)\/(k*k\/k**0)**(-4))\/((k*k\/(k\/(k\/(k**(2\/3)*k))))**(3\/26))**(1\/12) assuming k is positive.\nAnswer: k**(14971\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -3, -23, -51, -87, -131?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14575 and 1925?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126813418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76800 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/12205568 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13191843 is divided by 7521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1056 = 7*b. Let w = 287 - b. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 9*r**2 + r - 8. Give s(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 1 = -y - 13, 5*y = -3*p - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 37. Suppose 4*l = 4*k - 20, -5*k = 6*l - 5*l - d. Solve -w = k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 - 58023*t**2 - 290112*t\/5.\nAnswer: -3*t*(t + 1)*(t + 96704)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9.6, 29, -1\/4 in increasing order.\nAnswer: -1\/4, 0.2, 9.6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 6}. Give prob of picking 3 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d = -0*d - 176 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 4848787 and -0.02.\nAnswer: 4848786.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 459 - 941 = 0. Suppose 3*f - o = -f. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644248376 a multiple of 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 54*x**2 - 221*x + 596. What is d(-58)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 63. Suppose -u + 5*g = -d, -8*u + g = -10*u + 1. Solve l - 8 = -u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -321*i - 6. Let q be x(2). Let w = -1973\/3 - q. Let j = 922\/595 - -6\/119. Find the common denominator of w and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4880000 to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1991829 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.499 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - c - 20, -4*c + c = -4*d + 38. Let o = -28 + 73. Suppose o = 4*s - 151. Calculate the least common multiple of s and d.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Suppose 2 = -2*o - 2. Is x < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -130*((-16)\/(-10) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5767, -1, 129 in ascending order.\nAnswer: -1, 129, 5767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*r**2 + 52*r**2 - 4771 + 4771.\nAnswer: 565*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by ((-62)\/(-6))\/((-13)\/(-39)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, v: 3, k: 9}. What is prob of sequence vkbk?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 63 = -5*g, 5*g - 2*g - 61 = -4*q. Let n(x) = -x + 6. Let i be n(0). What is the greatest common factor of i and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-2875)\/(-2070)*3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 - (-2)\/(2 - 0). Let a be (9\/h)\/(-1)*32. Let m = -113 + 125. What is the greatest common factor of m and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548509 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -94*h**2 - 5840*h - 93. What is r(-62)?\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**4 + 7*n - n**4 - 11 - 6*n**2 + 2*n**4 - n**3 - 18*n. Let y(h) = h**4 - h**2 - 2*h - 2. Let t(s) = -2*m(s) + 11*y(s). Factor t(l).\nAnswer: l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {k: 11, x: 6, r: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 176*h - 14. Let q(w) = -2*w**2 + 345*w - 24. Determine 5*i(b) - 3*q(b).\nAnswer: b**2 - 155*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0. Let p = 0.4464 + -1.4464. Which is the second smallest value? (a) 9 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/15 + (206\/10 - -3). What is the highest common divisor of n and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398 = 10*q - 408 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 13*c**2 - 12*c + 15. Let h be (36\/14)\/(12\/56). Calculate the remainder when 43 is divided by k(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 - 9225*v + 110268 = 0. Calculate v.\nAnswer: 12, 3063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4 + 59*c + 3825.\nAnswer: -8*c**3 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420527 is divided by 2662?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 o when three letters picked without replacement from ojosofdsosgsssf.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:24 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2686.9 to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 694 = 5*b - 5*y, 0 = -4*y + 12. Suppose -4*r + b - 28 = 0. Let k = -18 + r. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-49))\/((-4)\/56*2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 30.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 + 1 - -1) + 14 + -17. Solve -d + 24 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 5*k - 4. Let s be i(-4). Let g(o) = 11*o. Let m = 30 - 12. Let n be ((-1)\/(-3))\/(m\/(-270)). Let x(c) = -7*c. Determine n*g(l) + s*x(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1564\/9 + 174. Factor -4\/9*l - 2\/9*l**4 + w + 0*l**2 + 4\/9*l**3.\nAnswer: -2*(l - 1)**3*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*q - 217, 16 = -5*p - 19. Calculate the remainder when 5564 is divided by q.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 24542955.\nAnswer: -24542955.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, -291, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 minutes before 3:18 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let d(t) = 2*t**2 - 4*t. Let x be (-3 + -4)\/(-1) + -3. Let r(q) = -q**2 + 3*q. Let w be r(x). Give w*o(s) + d(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -109 and 0.3?\nAnswer: -32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -134, -1, 3, -3\/7, -0.14?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 + 8)*714\/(-224))\/(45\/10)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**5*f**(-2\/5)\/f*f*f**6*f*f**2*((f\/f**(-2))**(3\/4))**(-11\/5) assuming f is positive.\nAnswer: f**(193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404797146?\nAnswer: 2, 3, 13, 53, 97919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5113, 6817, 8529, 10249, 11977, 13713, 15457?\n\"Answer: 4*w**2 + 1692*w + 3417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 986 and 32249?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-11648)\/4960)\/(-182))\/(-1)\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85537.85 decades in centuries?\nAnswer: 8553.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*108\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517050, 1034101, 1551152, 2068203, 2585254?\nAnswer: 3102305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 + 282845*p**3\/2 - 282843*p**2.\nAnswer: -p**2*(p - 282843)*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6976201 is divided by 410364?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*j - 19*x - 170, 23 + 5 - 6 = -18*j + 2*x - 74 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/7 + 180638*y - 10115856\/7 = 0.\nAnswer: -632241, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -p - 3, 5*p = p - 3*q - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -27. Let q = p + 19. Suppose -j - 21 = -72. What is the remainder when j is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 740, 1089, 1416, 1715, 1980, 2205?\nAnswer: 2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 539395480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 208419*g - 8751834.\nAnswer: -(g + 42)*(g + 208377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4220624 to 3 dps.\nAnswer: -0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 0.46, 36, 5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 1980 = -44*m + 92*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4761 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 39*d = -121. Suppose 0 = 13*o - d + 95. Factor 1715\/3 - 245*a - 5\/3*a**3 + 35*a**o.\nAnswer: -5*(a - 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 72238 = 4*a - 2229790, 3*a - 1726524 = 4*t. Suppose 3*g + 575512 = -5*f, 3*f + g = -2*f - a. Round f to the nearest one thousand.\nAnswer: -115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 1571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15)**(2\/17)\/(j**(-1\/6)\/j**(3\/4)) assuming j is positive.\nAnswer: j**(547\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + o**2 - o - 1. Let x(s) = 29*s**3 + 2*s**2 - 6*s - 8. Determine -6*k(l) + x(l).\nAnswer: 11*l**3 - 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 10*v + 1061. Determine w(-20).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(39\/(-676)*1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v*v**12*v)**5)**(5\/7))**(-25) assuming v is positive.\nAnswer: v**(-10625\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 1, y: 2, u: 3, r: 5}. What is prob of sequence rh?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131388056 - 131388055.15999911. Let i = z + -0.84. What is i rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 11792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*i + 6 = 0, -2*d = 5*i - 0*i - 7. What is the remainder when 76 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228.78 + -1.22. Let z = y + 218.1. What is z rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1700 or 3043?\nAnswer: 3043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024137705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07815711 to 3 dps.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-19)*d*d**(2\/135)*d*d*d\/(d*d*d**33)*d\/d**5 assuming d is positive.\nAnswer: d**(-7288\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1890 + 1893. Factor 2\/11*q**2 + 0*q**w - 2\/11*q**4 + 0*q + 0.\nAnswer: -2*q**2*(q - 1)*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20638216.\nAnswer: 2, 2579777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p*p*p*p**(-1)*p)\/p)**(-2\/5)*(p**(2\/3))**10 assuming p is positive.\nAnswer: p**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*x - 124*x = 286*x - 10492 - 3630 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.754777 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 68, -48, -1\/6, -10, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:31 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + 0*r)*(-1 + 2 - 4) + 39 - 21*r - 39.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r - 6. Let y be h(7). Let m = 971\/7 + y. Which is the closest to m? (a) -1\/12 (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59785174.\nAnswer: 2, 31, 97, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:01 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 17. Let u be g(9). Suppose u + 10 = 4*p. Let r = 268 + -267. Solve -21 = -p*x - r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.015 - 0.985. What is the nearest to -0.11 in -0.5, g, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:25 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -81, 18\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134\/15 + 116\/15. Which is the biggest value? (a) 0.3 (b) -2\/5 (c) 3\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(0 + sqrt(1872) + -2*2*sqrt(1872))*2*5 + -1)**2.\nAnswer: 2880*sqrt(13) + 26956801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2073229, -4146451, -6219665, -8292871?\nAnswer: -10366069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*u = 7*h - 213*u - 61, -5*h - 5*u + 55 = 0. Let r(i) = i**2 + 7*i - 54. Determine r(h).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 501429607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21584000 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 + 0 - 2*k - 6 + k**4 + 10 - 3 + 675*k**2 + k**3 to the form b*k + q*k**4 + v*k**3 + d*k**2 + c and give b.\nAnswer: -2","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 {b: 4, m: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25375590 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -0.28 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 - 5*q + 1. Let h be o(4). Suppose -g - h = -3*x, 3*x + 84*g - 84 = 88*g. Calculate the greatest common factor of 56 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 4. Solve 1 + l = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1955.25666 + 1791.8573205. Let b = -163.4 - h. What is b rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 0*y + 1 + 0*y. Let d(o) = -10*o - 21. Let k(r) = -5*r - 10. Let a(z) = -6*d(z) + 13*k(z). Let t(i) = a(i) + 2*w(i). Calculate t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, 1296?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -857. What are the prime factors of d?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ec (base 15) to base 5.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*f**2*k + 35201*c + 130995*f**2*k + 3*k wrt f.\nAnswer: 2*c*f*k + 261990*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c + 158. Let b be f(-13). Suppose -2*i = -3*o + 2*o + 8, -4*o + b*i = -38. Solve -9*j = -o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:08 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k + 1 - 3*k + 7*k + 5*k + 10*k to the form h + y*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8 - 10\/(-4). What is the first derivative of 17*p**b - 2*p + 2*p + 22 + 0*p**3 wrt p?\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1))\/(26\/195*15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyppbbbybpptpbtpy. What is prob of sequence pt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 24 (b) -7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qccg when four letters picked without replacement from cggccgqoco.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 6)*(-6*y**5 - 4*y**5 + 4*y**5 + (0*y + 0*y + 4*y**3)*(13*y**2 - 15*y + 15*y)).\nAnswer: 460*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 26\/5 of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 57 = 8*a. Let c = -31 + a. Let q = 7 + c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**8\/168 + 31*w**6\/120 + 7*w**5\/20 + w**3\/2 - 3*w**2. What is the third derivative of b(t) wrt t?\nAnswer: 120*t**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 divided by -1712?\nAnswer: -2233\/1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171047305.8ms in weeks?\nAnswer: 0.2828163125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {n: 9, z: 1, o: 1, j: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(0 + 366\/(-4))\/(-3). Let t be g\/234 - (-4)\/(-26). Let f = -7\/5 - -8\/5. Which is the nearest to 6? (a) t (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 13)\/(1 + 1). Let q be (-23)\/46 - k\/8. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(156))\/sqrt(12) + -5 + sqrt(78)\/((sqrt(324)\/sqrt(6))\/sqrt(9))*3 + -4.\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 less than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*f - 27 = 0, l + 5*f + 25 = 3*l. Let h(a) = a**2 + 4*a + 4. Let q(j) = -j**2 - 5*j - 5. What is l*h(n) + 4*q(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -12. Let a = r + 2. Suppose u + 4 = 0, a*z = -z - 3*u + 404. Calculate the highest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, -3, -59, -147, -273, -443, -663, -939?\nAnswer: -1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.4 - 35.4. What is the nearest to y in -1\/2, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 25*d - 8. Let a(o) = -2*o**2 - 68*o - 41. Let x be a(-33). What is k(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 4*v**5\/15 + 5*v**4\/3 - 16*v**3 + 244. Let z(w) = 0. What is w?\nAnswer: -9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1155906 + 81?\nAnswer: 1155987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 29*r - 5. Let a(i) = 2*i**2 - 28*i + 4. Let o(x) = -5*a(x) - 6*u(x). Give o(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3 + 2885*y**2 + 1088128*y - 8890176 = 0.\nAnswer: -2437, -456, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8702*x + 1748*x + 4363*x - 5917*x - 6919*x.\nAnswer: -15427*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**2. Let g(d) = -d**2. Let u(w) = w**3 - 24*w**2 - w + 28. Let j be u(24). Let v(m) = m**2. Let l(x) = j*g(x) + 3*v(x). Give z(l(y)).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + n - 1. Suppose 6*d - 5 = 7*d. Let f(s) = -4*s - 20. Let k be f(d). What is y(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*(-6 + 5). Is m smaller than 2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(30)\/sqrt(24) + 5 + (sqrt(10)\/sqrt(2) - sqrt(5))).\nAnswer: 5*sqrt(5)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.587376 months to centuries.\nAnswer: 0.02298948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 11*b**2 + 2*b - 22. Let g be t(11). Let c be -10 - -12 - 0\/1. Solve -c = n - g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*-2 + (sqrt(171)*-2 + sqrt(171))\/sqrt(9) + -5*(sqrt(1900) + 0 + sqrt(1900)))**2 + -1.\nAnswer: 209474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 561 + 125)*(-3 + 3 + 2)*(-2 - 5 + 6)*(-a**2 + 0*a**2 - 2*a**2).\nAnswer: 4476*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1198659702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -16*f**6\/3 - 79*f**5\/5 + 122*f**4\/3 - 2*f**3 - 2266*f. Suppose m(g) = 0. What is g?\nAnswer: -3, 0, 1\/40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30471983 at least as big as -30471984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 6*b + 147 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 312*l**2 - 64*l. Let q(i) = -24*i**2 + 5*i. Give -5*o(a) - 64*q(a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124679*n**4*p**2 - 13*n**2*p**2 + 6798326*p**2 - 1 with respect to n.\nAnswer: -498716*n**3*p**2 - 26*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 20, -0.2, 13\/7, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 1, t: 1, o: 1, s: 2, c: 1}. What is prob of sequence gsct?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.712, 2\/3, -574?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6179 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 j = 1265 + -1037. What is the highest common divisor of j and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1075*u**4 + 10*u**3 + 25*u**2 - u - 24 wrt u?\nAnswer: -25800*u + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8312.905 rounded to 0 dps?\nAnswer: -8313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1042, -2053, -3064?\n\"Answer: -1011*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 218 and 1270613?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*l**2 - 2*l**2 + 1336 + 1358 - 2604 with respect to l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*1*(-3)\/(-9). Let k = -50 - -49.7. Sort k, j, -3\/2 in descending order.\nAnswer: k, j, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -372572 by 68.\nAnswer: -5479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2702 = 80*a - 24*a + 3122 for a.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (84\/(-39) - -3). Let p = 14.5 - 11. Let r = 3 - p. What is the closest to -1 in r, 2, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k + 24. Let x be o(0). Let v = -4 + 4. Solve -c - x = -v*c + 4*f, -5*c + 3*f - 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1788 + -1130. What is the remainder when 1320 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, -3, 29727 in decreasing order.\nAnswer: 29727, 0.36, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -350 + 441. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -55. Suppose t*k = 8*k + 4*r - 7, -2*k = 3*r - 7. Calculate the remainder when 172 is divided by 2\/1 - -39 - (-4 - k).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.4 - -7.49. Let q = d - -1.91. What is the closest to -1 in 2\/9, 0.3, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173187, -692735, -1558625, -2770839, -4329359, -6234167, -8485245, -11082575?\nAnswer: -14026139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 7 + 3*s**2 + 1 + 5*s**2 - 11.\nAnswer: 6*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14395 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = 3189 - 44222. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) 1\/21 (c) 363 (d) 2\/9 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/11 (b) 4\/9 (c) 4 (d) 4.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvvptpvp. Give prob of sequence vt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3511359167?\nAnswer: 3511359167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800*n - 42 = 793*n. Let u = 6 - 4. Suppose u*r + 4*v = 228, -2*v - 12 = -n*v. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/9)*h**(-14\/9)\/h*h assuming h is positive.\nAnswer: h**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.2. Let z = 299\/11 - 27. Which is the third biggest value? (a) 0.2 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 - h + 4. Let s(a) = -21*a**2 + 4*a - 21. Suppose -i - 88 = 4*i + 3*i. What is i*y(n) - 2*s(n)?\nAnswer: -2*n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6)\/(o\/((o*o\/(o\/(((o*o**(2\/67)*o)\/o)\/o*o)))\/o*o)))\/((o\/(o*o\/(o*o**(-1\/15)*o)*o))\/(o*o**(1\/6)*o*o*o)) assuming o is positive.\nAnswer: o**(5122\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/13)\/(z\/((z\/z**(2\/11))\/z)))\/(z*z**(-3\/5)*z*z**(-1\/3)))**42 assuming z is positive.\nAnswer: z**(-58282\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438825 is divided by 203.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 220 - 890b41?\nAnswer: -890921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-30)*(-6)\/(-4). Suppose z*j + 0*f + 2*f - 8 = 0, f = 1. Factor m + 5*m + 3 + 2*m**3 - 9*m**3 + m**j - 3*m**4.\nAnswer: -3*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/45872269 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let t(k) = -19808*k. Calculate p(t(d)).\nAnswer: 19808*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 18 + 30 + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 1313?\nAnswer: -130d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5634.9999978912 - -5635. What is o rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4413\/40 + -593\/8. Let v = y - 36. What is the biggest value in 4\/5, v, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -34, -2\/5, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (5 + (-4 + -3 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000814955 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 80 = 19*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 21. Suppose 1 - 5*i**2 - 20*i - 2 - 9 - l = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**3 + q**2 - q - 2. Calculate i(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159 and 0.029?\nAnswer: 4.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 17, -5 in ascending order.\nAnswer: -5, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/2 (b) -3 (c) -2\/3 (d) 11 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -856.5 + 856. What is the third biggest value in -1\/3, x, -0.0324?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 + -1)\/(-8))\/((-2)\/(-12)). Suppose -m*l + 294 + 1968 = 0. Suppose -l = 9*f + 15356. What is f rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**6\/10 + 3*q**5\/20 - 3*q**4\/4 - 5*q**3\/2 - 3*q**2 + 4*q. Factor c(z).\nAnswer: 3*(z - 2)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -11*r**3\/6 + r**2\/2 + 7*r. Let v = -14 - -26. What is the remainder when o(-3) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 6242*r + 12457. Determine o(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 745762738 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1714*(3 - 2)*(17 - 23). What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 5*r**5\/4 + 35*r**4\/6 + 35*r**3\/6 - 5*r**2 - 8*r. Factor t(u).\nAnswer: 5*(u + 1)*(u + 2)*(5*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let x(l) = 1199128*l. Determine x(g(c)).\nAnswer: -2398256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2900 and 443990?\nAnswer: 4439900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 449 - 447. What is the third derivative of 433*p - 5*p**5 - 433*p - 2*p**6 - p**o + 105 - 29 wrt p?\nAnswer: -240*p**3 - 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19797101940 + 0.1\nAnswer: 19797101940.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 - 8*w. Let q be c(8). Let l be (33\/2)\/(-3 - (-65)\/20). Let z = q + l. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2114)\/(-42) + (2 - 14\/6). Are -0.1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zhgrz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 72, 108?\n\"Answer: 36*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353702982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -444898.273 rounded to the nearest 1000?\nAnswer: -445000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*10*(7828\/(-19055))\/76?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 7861*q - 7856*q + 3*z, -z = 2*q - 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2948 is divided by 143.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + 8 - 6) + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(21\/(-84))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 12252735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -g. Suppose -g*j = -7*j - 160. Let l = -13 - j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2 + 415212*j + 17433612 = 0.\nAnswer: -138362, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(208) + 0))**2 - ((-1 + sqrt(1573))**2 - (0 + sqrt(468))).\nAnswer: 28*sqrt(13) + 5918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 1. Let k(d) = -7*d**2 - 17*d. Let i(l) = -k(l) - 6*q(l). What is the units digit of i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167835 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: Rearrange -21*d - 42*d**3 + 3*d**2 + 8*d - 4*d**2 + 2 + 10*d to the form q*d**2 + c*d**3 + u + k*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -68.8. Let w = 8.59 + o. Which is the second biggest value? (a) 3 (b) w (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/5, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 3*v**2 - 4*v + 1. Let m be y(-4). Solve 5*c = 6 - m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m + 1. Let v be l(-1). Suppose n = 4*n - v. Sort -1, n, 0 in increasing order.\nAnswer: -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = 5*k + 48, 3*k - t + 22 = 0. Is ((-4)\/k*-2174)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-1464146\nAnswer: -1464146.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 46 = 2*m. Suppose 0 = -3*q + 5*p - m, 2*p + 2 = -3*q + 7. Let k be q - (1 + -2 - 2). Solve 0*r + 23 = -5*u - r, 4*u + 22 = -k*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Suppose -z - 90 = -10*z. Suppose -z = -w*i - 2. What is the least common multiple of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 24 - 0. Factor -12*z**3 - 13*z - z**5 + 22*z**2 - 5*z**u + 21*z**4 - 9*z**4 - 6*z**3 + 3.\nAnswer: -(z - 3)*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.563743 - -6.57. What is b rounded to four dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 31 = 6. Suppose 0 = -f + u*f - 76. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 150\/(-10)*8\/(-10). Solve -2*q - g = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 3\/107558887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7082982 to the nearest integer?\nAnswer: 2661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 9. Calculate the remainder when 37 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6 (base 15) in base 14?\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 14982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*(2\/(18\/(-9)))\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/622755 and 149\/270.\nAnswer: 1245510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**3 - 134223*q**2 + 295224*q - 53676.\nAnswer: 3*(q - 8946)*(q - 2)*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 49*f**2 - 46*f - 136. Calculate the remainder when q(-25) is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0559455 to four decimal places.\nAnswer: -0.0559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 9:58 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2499743 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9)\/m**(-11\/5)*(m*(m\/m**(-18))\/m)\/(m\/(m**14\/m)) assuming m is positive.\nAnswer: m**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 2:54 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4166*0.4697.\nAnswer: 1956.7702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16530764 (base 8) to base 7\nAnswer: 44460464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*d + 5 - 40, -5*d + 3*r = -35. Suppose 36 = 2*l + d*l. Solve b - l*b - 3*z = 6, 5*b = -3*z - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5 + g**4 - 7*g**3 - g**2 + 6*g = 0?\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -229301717*v**2 - 686235444.\nAnswer: -458603434*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 55 (b) -4\/3 (c) -85710\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 29\/2*p**2 - 8*p - 1\/12*p**4 + 0 - 7\/6*p**3. What is the units digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddllddssllssrlsd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4416\/(-585) + -11*183\/(-3355)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 913 and 17596?\nAnswer: 193556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -24139\nAnswer: -34\/24139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 7:00 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 89935656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1*(-4)\/4). Let o be ((-11)\/11)\/(-1 + j). Let p(b) = b. Let t(g) be the second derivative of -2*g**3\/3 - g**2 + 2*g. What is o*t(s) + 2*p(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*y - v - 6, -2*y = 3*v - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**2 + 2*x + 15. Let u be y(-3). Let k(d) = 21*d + 22. What are the prime factors of k(u)?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 - 16.13. Let c = -12 - x. What is the biggest value in -1\/5, 12, c?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-7)\/21 - 2\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4613 - -8541. Is (6 - a\/16)\/(1\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60902.\nAnswer: 2, 37, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x. Let j = 2 - 6. Let b be (6\/j - -1)*4. What is the units digit of z(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 12. Suppose 3*l - 6*l = -t. Let w be (-1 + 2\/l)*-12. What is the highest common divisor of 54 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.19 and -162.8.\nAnswer: -161.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 32208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72108 and 2870299?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9614, 9583, 9552?\n\"Answer: -31*u + 9645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**2 + 3*l + 11. Let r(k) = -3*k**2 - 2*k - 5. Let o(f) = -4*m(f) - 9*r(f). Let n be 243\/24 + 6\/(-48). Let h be 14\/(-10)*-3 - 2\/n. Determine o(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 5*x = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c + 1. Let l be s(-1). Suppose -12 = -8*p - 12. Put -1, p, l in ascending order.\nAnswer: -1, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1 + 35\/(-20) + 65 + -62?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 21 + 26*j - 6 + 23 to the form h*j**3 + u*j + z + d*j**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1 + 20*k + 18*k - 53*k + 16*k. Determine l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707887.16us in days?\nAnswer: 0.0000197672125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 6*o**2 + 7*o + 5. Let w(y) = -2*y**3 - 5*y**2 + 6*y + 4. Let b(s) = -3*v(s) + 4*w(s). What is the units digit of b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*b = 212, -7*i + b = -2*i + 279. Let x = i + 88. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-100))\/(-5*(-8)\/(-100)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2875767 litres to millilitres.\nAnswer: 287.5767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -33, -0.1, -1375859 in increasing order.\nAnswer: -1375859, -33, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xdxhdp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 2131?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Solve 5*t - 2*q = 15, -2*t + q - l*q + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 308, 2, 182 in decreasing order.\nAnswer: 308, 182, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - 18. Let q be (-8)\/y - (-32)\/18. Suppose q*z = 4*f + 2, -3*z + 13 = 3*f - 8. Solve i - 21 = z*c, 3*i - 4*i = -2*c - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -2*w**5\/25 + 7*w**4\/20 - 7*w**3\/15 + w**2\/5 - 3. Let f(m) = 0. What is m?\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, f: 1, p: 5}. What is prob of sequence qpqf?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*r + 3*h - 18, -5*h + 17 = 4*r. Is 12 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose -3*r + 4*r = -5*x + 34, -5*x + d*r + 14 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34537098 divided by -323.\nAnswer: 106926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11321184 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000100000010101101101 + -1101000?\nAnswer: 101000100000010100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*7.2\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*t = 8, -4*i + 3*t = -6 - 5. Suppose 3 + 1 = i*j + 3*r, 0 = -5*j + 2*r + 10. What is the remainder when 6 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14440523, -14440527, -14440531, -14440535?\nAnswer: -14440539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0*p + 1\/42*p**8 - 22\/15*p**5 + 9\/10*p**6 + 0 - 5\/21*p**7 - 14*p**2 + 2\/3*p**4 + 0*p**3. Find g, given that s(g) = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-1)\/((-6)\/4). Let z be (3\/(-2))\/(15\/20). Sort 0.2, k, z in increasing order.\nAnswer: z, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4 + (-168)\/(-112). Solve 8*f + 5 = o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145660 (base 8) to base 7\nAnswer: 305011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(4)\/sqrt(2)*6 + (sqrt(242) - (sqrt(242) + sqrt(242) + -1 + -1))**2.\nAnswer: -38*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.79 + 48. Let x = 9.21 - b. Let a = -11 + x. What is the third smallest value in a, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/38559090 and 113\/130.\nAnswer: 501268170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*q + 8772 = 15614 + 14758 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -692, -672, -636, -578, -492, -372?\n\"Answer: h**3 + 2*h**2 + 7*h - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14002724, 14002734, 14002744?\nAnswer: 14002754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from {n: 4, p: 4, m: 6, q: 1, g: 3, j: 1}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y + 9*y)*(36 + 19 + 27)*(-1 + 4 - 1) - 2*y + 3*y - 2*y + (-3*y + 2*y + 2*y)*(0 + 0 - 1) + (-3 + 0 + 1)*(y + 0*y + y) - 2*y - 1 + 1.\nAnswer: 1960*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/30*(-460)\/552*5\/((-10)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.213429 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 14*d + 1. Let q be k(14). Let y(i) = -i**3 + 3*i**2 + 2. Let j be y(3). Let s be 1\/j*-5*2. Sort s, -7, q.\nAnswer: -7, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10043 - 9655. Calculate the lowest common multiple of 20 - 5\/(5\/(-2)) and u.\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*f + 10. Let m(b) = -106000*b**2 + 3*b + 3. Let j be m(f). What is j rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 21, 321, -1, -5 in ascending order.\nAnswer: -14, -5, -1, 21, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11604*k**2 - 103501.\nAnswer: 23208*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*l + 3832 = 5*f, f - 1912 = -3*l. Suppose -f = -22*v + 15*v. List the prime factors of v.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119) + 5*sqrt(119)*-3)\/(sqrt(63)\/(sqrt(9)*5) + sqrt(7)).\nAnswer: -65*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*t**3 + 47*t wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 44773697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**3\/6 - x**2\/2 + 2*x - 9. Let n(p) = -6*p - 3. What is -3*g(k) + n(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 754, 1513, 2270, 3025, 3778, 4529, 5278?\n\"Answer: -u**2 + 762*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22200550 by -4440110.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1619 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 2209?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 3603?\nAnswer: 172944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 716743 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*x + 439*x = 120 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*c = -9814, -9822 = -5*s - 0*c + c. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153095 and 630?\nAnswer: 19289970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105837.\nAnswer: 3, 35279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04507 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, w: 1, y: 3, f: 7}. What is prob of picking 2 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h - 2. Suppose -4*t - 2*p + 10 = -0*t, -t = -5*p + 25. Calculate u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-15)\/5)\/(38\/18*-3).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -3568, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**2 + 0*i**4 + 0*i + 0*i**3 + 1\/60*i**5 + 0. Let x(q) = -6*q + 0*q + 4*q. Determine z(x(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303898599 to the nearest integer?\nAnswer: 17433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 3, 21 in decreasing order.\nAnswer: 21, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)\/a)**36)**(-18\/5)*(((a*a\/(a\/(a**1\/a))*a)\/a*a)\/(a\/a**(2\/11)))\/(a**(-1))**(-44) assuming a is positive.\nAnswer: a**(21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 181 + -10?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h + 1. Let i be o(1). Let n(q) = q - 7. Let u be n(i). Suppose 0 = -3*r - l + 8 - 3, u = 5*r - 2*l - 23. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Suppose -2*u + 6 = -2*l - s*u, -u + 2 = -2*l. Suppose -3*h = -5*q - 4 - l, 4*h = 3*q + 3. Let i(j) = j**2 - j + 4. Determine i(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y + 1. What is u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 3*k, 0 = -3*a + k + 16. Let v(m) = 2*m - 7. Let f be v(a). Suppose r = f*r - 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106462377 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-159)\/(-39) + ((-530)\/130 - -4). Let i(u) = 7*u - 23. Give i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-26)\/(-1))\/((-83)\/(16932\/476)))\/(9\/42).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -375 (base 11) to base 9\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/399*7)\/((-28210)\/(-15314))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*i = -3*i, -25 = -5*b - 2*i. Suppose 1 = -4*k - 15, b*v + 3*k - 27 = 0. Let o = 1 + v. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13141.\nAnswer: 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-18))\/((-1)\/(-2))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2078 + 2073. Let l(t) = -2*t + 12. Let q(s) = -1. Let h(o) = -l(o) - 5*q(o). Let k be (6\/4)\/(6\/16). Let a(c) = c - 6. Calculate k*h(b) + p*a(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*w**3 - 21740*g**2 - g*w**3 - 160*g - w wrt g.\nAnswer: 4*w**3 - 43480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4\/3 (b) 1 (c) -138 (d) 2 (e) 48\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 327894 times 12\nAnswer: 3934728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = 4162. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (46 + 46 + -75 - (2 - -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 6) in base 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 24*w**2 - 207*w + 116. Calculate m(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -1b84191?\nAnswer: 1b84194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 4*t**2 + 4*t + 1. Let n be k(3). Suppose 137 = 10*a + 117. Solve -n*m - a*s - 11 = -5*m, -12 = 4*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/5355?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87.7101 - -0.8.\nAnswer: -86.9101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33315222.8759 and 5.\nAnswer: -33315217.8759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (13 - 16 - (1 - 14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let d(l) = -l**3 - 6*l**2 + 13*l - 25. Let m be d(-10). Let b(c) = -257 + 502 - 35*c**2 - 2*c - m. Calculate h(b(g)).\nAnswer: 1225*g**4 + 140*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 84\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193025780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 11) to base 15\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667 + 12*s - 1044 - 48*s + 377.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10253 + 205127\/20. Let v = -588\/5 + 116. Let q = z + v. What is the common denominator of -41\/16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450920*s**3 + 41805*s?\nAnswer: 2705520*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56955813 is divided by 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/(-196))\/(2\/24*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 - 3*v + 11. Let f(u) = -76*u + 309. Let y be f(4). Give h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 743, 55, -2 in decreasing order.\nAnswer: 743, 55, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.891 + 0.109. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 434, 527, 620?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (409*g + 410*g - 871*g + (-1 - 66 + 11)*(g - g + 2*g))*(3 - 3 - 1) as h + d*g and give d.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469123, 468935, 468747, 468559?\nAnswer: 468371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000051209 rounded to seven decimal places?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 6. Let k = 1 - -3. Suppose 12*i - 12 - 24 = 0. Suppose 5*q + 2 = 4*q, 6 = k*o - i*q. Calculate u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(75) + (1 + sqrt(432))**2 - (2 + ((sqrt(243) - (sqrt(243) - (sqrt(243) + -1))) + 3 + sqrt(243) + sqrt(243))**2).\nAnswer: -1760 - 79*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552*t + 391*t + 465*t = -451*t + 19845 for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 416.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(-46)\/((l\/(l\/l**(-1\/7)))\/l**0) assuming l is positive.\nAnswer: l**(325\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70291.37599 + 70291. What is t rounded to 2 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 26. Suppose -3*p + 5*p - 4 = 0. Suppose -2*c - p = -r. Solve -5 = b, c*f - 50 = -0*f + 5*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1)\/(((-3)\/(-1))\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*r**3 + 835*r**2 - 4120241.\nAnswer: 78*r**2 + 1670*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4645.77 - -4680. What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4 + 100*t**3 - 495*t**2 + 440*t + 1040 = 0.\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*u = 409, 23*u = 19*u + 4. Suppose -14*l = -227 - i. Calculate the remainder when 128 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from crssdhshrm?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*w = -108*w - 2. Let z(o) = 0 + o + 7 - 2 - 6. Let f(p) be the second derivative of -p**4\/6 + p**3\/6 - 2*p**2 - 2*p. Determine w*f(u) - 3*z(u).\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 578108 and 452?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101000 - -100?\nAnswer: 110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (49 - (-11 - -55))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 148\/(-185)*(-7)\/(-56)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9414, 8954, 8496, 8040?\nAnswer: 7586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**3 + 2*i**2 - 5*i + 2. Let r be v(-4). Let h = r + 5869\/9. What is the common denominator of 9\/7 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 - 37*a + 201. What is d(6)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 34. Factor 1\/3 + 0*u + p*u**3 - 2\/3*u**2 + 1\/3*u**4.\nAnswer: (u - 1)**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 + -15.18. Let w = 0.348 + -16.648. Let n = x - w. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/9)*c)\/(c**(-3\/7)*c))\/((c\/(c\/((c**(-1\/10)*c*c)\/c)))\/(c\/(c\/(c\/c**(-1\/6))))) assuming c is positive.\nAnswer: c**(289\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 (base 16) in base 11?\nAnswer: -97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 200.896 times -5\nAnswer: -1004.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2\/1*(-45)\/(-10) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328 - 63 + 34)*(y**5 - 4*y**5 + 0*y**5).\nAnswer: -897*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -57606?\nAnswer: -57602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -805\/68 - 65\/34. Find the common denominator of 37\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 399\/(-77) + 1\/((-33)\/(-6)). Solve -w - 2*i + 7 = q, 64*w - 2*i = 66*w - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-28))\/((-4)\/238). Suppose 3*k = -2*r + 13, -4*r - 4 = 4347*k - 4351*k. Factor -k - 57\/2*f - h*f**2.\nAnswer: -3*(f + 1)*(17*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 271*s*v**2 + 4*s*v + 4179801*s + v**2 + 99*v - 10 wrt v?\nAnswer: 542*s*v + 4*s + 2*v + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z**4 - 5*z**4 + 2*z**3 + z**3)*(2*z - 3*z + 0*z).\nAnswer: 16*z**5 - 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3317, 13125, 29421, 52205, 81477, 117237, 159485?\nAnswer: 208221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 158881*m**3 - 3*m**2 + 285*m - 284. Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19808824+529\nAnswer: -19808295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:30 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826480708 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-4\/7)\/h)*h**(-10)*h)\/(h**(-10)\/(h**(-3)\/h)) assuming h is positive.\nAnswer: h**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2532 - 2194.2532. Let t = m - -2182.79. Round t to 1 decimal place.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 20093142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*y - 600 = 0, -6*m - 452 = -9*m - y. Let q = 156 - m. Let s(k) = k**3 - 6*k**2 + 6*k - 5. Calculate s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30248 and 1292.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29567, -58794, -88021, -117248, -146475, -175702?\n\"Answer: -29227*x - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -4 + -2 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 1. Let d be y(-2). Let r(m) = 7*m + 2. Let j(i) = -7*i - 3. Let c(z) = -4*j(z) - 3*r(z). What are the prime factors of c(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 1 - 2*v - 7\/2*v**2. What is the units digit of o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 29*i**4\/4 + 4*i**3\/3 + 3*i**2\/2 - 3*i. Let m be c(10). Let n = m + -2783. Round n to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 54. Suppose -3*m - 2*m = 0. What is the nearest to -2\/3 in -3, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = -b + t, -b = -t + 14. Let o(c) = 13 + c**3 - 4*c**3 + 4*c**3 - 9*c + 9*c**2. Let g be o(b). Let h(p) = p**2 - 4*p + 2. Give h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/17503 and 139\/3220.\nAnswer: 2450420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9649068*d**3*k**2 - 4*d**3*k + 883*d**3 + d**2 - d - 2 wrt k?\nAnswer: 19298136*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 - 1784564?\nAnswer: -1784563.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 73 = -4*t + 78, w = -t + 5. Let a(f) = -f**2 + 6*f + 139. Give a(t).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-2)\/2*2. Let q = -13 + 16. Let a(t) = 0*t**3 + q*t**2 + 1 + t**3 - t**2 + 4*t + 3*t**2. Calculate a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 157\/2, 1\/5, 2, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -0. Let f = -2 - w. Let k = f - -21. What is the remainder when 30 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28018.92 from -5.5.\nAnswer: -28024.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 10*t**2 - 17*t + 3. Determine w(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41795 is divided by 222.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.487 - 3.513. Which is the nearest to 0? (a) -12\/11 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 69*k**2 - 2*k**4 + 2*k + 30*k**2 + 39*k**2 as u*k**4 + q*k**2 + j + o*k**3 + r*k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126981712 and 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1933294 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -11. Suppose -13 = -2*c - v. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38644505 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-9)*30\/8 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*(0 + sqrt(343)))**2 + 2*((sqrt(343) - (-1 + sqrt(343)))*-3)**2)*5 + 0.\nAnswer: 15550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10740*o**4*s**2 + 2*o**4*s - o*s**2 + 7975*o wrt o?\nAnswer: 128880*o**2*s**2 + 24*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p. Let f(y) be the second derivative of y**6\/180 + 5*y**3\/6 + y. Let s(d) be the second derivative of f(d). Calculate s(u(t)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*4*2\/(-10). Let n = a + 11. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32013 (base 5) in base 11?\nAnswer: -166a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1858*u**3 - 640*u**3 + 1667*u**3.\nAnswer: 2885*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(40 + -61 + 20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - m + 0*m = -21, -5*p + 3*m = 111. Let z be 6\/(-8) + (-26)\/p. Which is the closest to z? (a) 1 (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0 + 5*y + 1\/4*y**4 + 3\/20*y**5 - 3\/2*y**2 - 1\/2*y**3. Solve x(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13370)\/1528 - (-5 + -4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-9) - ((-288)\/(-432) - 7\/(-3)). Factor 2\/9*v**2 - 4\/9*v - i.\nAnswer: 2*(v - 3)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 63681*r + 23*r**2 - 63681*r + 22*r**2.\nAnswer: 45*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4774, -4949, -5124, -5299, -5474, -5649?\n\"Answer: -175*y - 4599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2260 in -7, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6 = -x - 6, 2*x + 2*f + 8 = 0. Let b(a) = a**2. Let n be b(x). Let h = 6 - n. Solve 30 = -5*k + 2*c, 3*k + 4*c = h*c - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.13 + 33. Let f = x + 4.13. Let u = -29\/56 + 3\/8. Sort 5, f, u in descending order.\nAnswer: 5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-258)\/(-8) - 7\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98588391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -6*q + 360. What is the highest common divisor of q and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((0 + (-23 - -11) - -7) + -13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((198\/(-4))\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, -2\/7, -5, 2\/3, 345, -2, -5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -6)*18\/(-30). Put v, -5, -1 in ascending order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.823518 millilitres?\nAnswer: 0.000823518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*x**3 + 0*x - 3 + x**4 + 47*x**3 + 4*x - 2*x**4 to the form h*x**2 + q*x + f + l*x**3 + g*x**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 196 times -0.5\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h - 5, 0 = 3*w + 3*h - 15. Suppose -3*r - 5*f = -308, -5*r + 0*f + 538 = -4*f. Suppose -w*v = -274 - r. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:09 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 57*d + 252. Calculate p(-52).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 8*a - 22*a)*(-2 + 1 + 0).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -37 + 9 - -4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10 - 3*c - 8*c + 0*c**2 + c**2 + 2. Let b be m(12). Suppose 19 - 203 = -b*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 + 0 = 0. Suppose 0 = -r + 2*z, v*r = -4*z + 38 - 10. Solve r*i + 5 = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywhhyhyppphhwhphe. Give prob of picking 3 h.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/299915 and 57\/80.\nAnswer: 4798640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 41*o**3 + 1. Let i be d(1). Suppose -i = -0*l - 2*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 0*t - t**2)*(t - t + t**2) + 12*t**2 + 16*t**4 - 14*t**2 + t**4 to b*t**4 + z*t**3 + j*t**2 + q + w*t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(539) + (-2*sqrt(891) - sqrt(11)))*2.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 70923507*g\/5 - 141847002\/5.\nAnswer: -3*(g + 2)*(g + 23641167)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:08 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 9*b**2 + 8*b + 2. Let j(r) = 2*r**3 + 10*r**2 - 9*r - 3. Let o(h) = 5*c(h) + 4*j(h). What are the prime factors of o(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 30 = -7*p + 4*p, p = -4*f + 25. Let n be (-4 + p - 5)\/5. Let r = 888\/5 - 177. Which is the second biggest value? (a) -3 (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -694 less than 1?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 9:15 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d - 8*d**2 - 6*d. Let r(s) = 6*s - 26. Let i be r(8). Let t(k) = 12 + 10 - i - k**2. Give t(y(p)).\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 1, 0, -2\/31, 5, 5.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770*g - 307*g = -1389*g - 116676 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y - 1. Let u be o(2). Which is bigger: 7 or u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202845 - 21.367625.\nAnswer: -202866.367625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739*y = 2736*y + 3, p + 0*p + 25 = 5*p + y for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3*-6*(2 + sqrt(475) + 0 + sqrt(475))*-1)*-3)**2.\nAnswer: 103680*sqrt(19) + 5549616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -17951616.4.\nAnswer: -3590323.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:36 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -0.9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010000 - 10100011101?\nAnswer: -1100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5.68713 - -0.4\nAnswer: 6.08713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 35*h - 20. Let r(y) = -420*y + 240. Let b(a) = 35*o(a) + 3*r(a). Let s(m) = -5*m + 3. Calculate -3*b(d) + 20*s(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1143.77 - -225\nAnswer: 1368.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141962 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (4 - (9 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 2 l when four letters picked without replacement from {h: 4, e: 2, q: 2, l: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4a4 (base 16) to base 4\nAnswer: 102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus -23756.913?\nAnswer: -23766.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91635 - 96511 = -151*l. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1007 - 0.0993. What is the second biggest value in n, 20, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/168 and -82\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1123?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -153, -283, -535, -951, -1573?\nAnswer: -2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7316.25s in minutes?\nAnswer: 121.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361502.\nAnswer: 2, 180751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 52*p - 155. Let h(w) = -58*w - 1099. Let j be h(-19). Determine n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/2))\/v)**(-23))**(5\/9) assuming v is positive.\nAnswer: v**(115\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 13*a**2 - 37*a - 30. Let x be y(-2). Solve 40*c - 224 + 584 = x for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1957, -1956, -1955?\n\"Answer: n - 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 870802, 870801, 870800, 870799?\n\"Answer: -s + 870803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.541245ns?\nAnswer: 0.000000541245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 + 203. Solve -r*d + 3*k = -12, -d - 2*k = 2*d + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 741 + -4?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139003194 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -84 (c) 5085 (d) 2\/17 (e) 3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = 3*u, -2*b - 5*u + 159 = 0. Let x = b + -75. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29971 + -0.301. Round t to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100010100001001100 (base 2) to base 4\nAnswer: -10202201030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 4. Calculate the least common multiple of (-24)\/(-4)*(-1)\/3 + 10 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525544374?\nAnswer: 2, 661, 1153967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440561?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1875 and 147?\nAnswer: 91875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 17, -12, -11, 0 in ascending order.\nAnswer: -12, -11, -2, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 2*r - 3*r)*(109*r + 352*r - 71*r) - 4*r**2 + 4*r**2 - 2*r**2 to z*r**2 + f*r + a and give z.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2, 3\/5, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3636 and 26664?\nAnswer: 79992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 3*k**2 - 2*k + 7. Determine u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9055614 to the power of 1\/2, to the nearest integer?\nAnswer: 3009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4041384 and -0.3.\nAnswer: -0.7041384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1776 - 2970. Let x(g) = -7*g - 24. Let u be x(-3). What is the hundreds digit of (u*h\/(-18))\/(2\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6299302*w. Let c(k) = k**2. Calculate h(c(m)).\nAnswer: 6299302*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - 4\/(-3). Let l be ((-2634)\/72)\/(o\/(-52)). Let d = l - 935. Calculate the common denominator of d and -3\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/71411?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 4727?\nAnswer: 4727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2114425 divided by -84577\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134322?\nAnswer: 2, 7, 81023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17196*y + 9000*y + 8912*y as s*y + u and give s.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06469772 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g + 1 - 5*g - 1 - 6*g**2 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-10)*(141 - (-63)\/7) is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * 0.0744263.\nAnswer: 4.9121358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531504 a multiple of 1247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 2*b + 39, 0 = 2*o - 4. Let x = b + 44. Let c be ((-792)\/x)\/(4\/(-6)). Calculate the greatest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -4)\/(-23 - -24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 424*l**2 + 19*l + 20. What is the units digit of f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + -5?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/2*-1*((-744)\/(-36))\/31?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443 or -4?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4 - 762*d**3 + 758*d**2 + 762*d - 760 = 0.\nAnswer: -1, 1, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + 1. Let f(n) = 2*n**3 - 7. Let j(h) = f(h) + 3*o(h). Factor j(c).\nAnswer: -(c - 2)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1385, -2775, -4195, -5651, -7149, -8695?\nAnswer: -10295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/42 + 1\/6. Let i = 5 + -2. Let n be (-2)\/i - 22\/(-24). Put -0.4, a, n in descending order.\nAnswer: n, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/12)\/((-2)\/3))\/(-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -30. Let w(n) = 2*n**2 + n - 2. Let r be w(p). What is the tens digit of 4\/(-8)*r - -54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2790.3 - 2790. Which is the nearest to y? (a) 1 (b) -1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4641762 is divided by 148.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 320122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(-101*q - 86*q + 116*q)*(0*q**4 - 4*q**4 - q**4 + (1 - 2*q - 1)*(-2*q**3 - q**3 + 5*q**3)).\nAnswer: 3834*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -3 + -19 + 2. Let j be (225\/f)\/(1\/(-6)). What is the greatest common factor of j and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14*s + 4 + 2*s**2 + 6*s + 6*s. Let z(l) = -2*l**2 + 2*l - 3. Give -2*f(r) - 3*z(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -512*n + 534*n + n**2 + 509*n + 2 + 3*n**2 + 4*n**2 - 4*n**2 - n + n - 2*n**2 + (2*n + n - 2*n)*(-2*n - n + 5*n) + 3*n**2 - 4*n**2 + 2*n**2.\nAnswer: 5*n**2 + 531*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.8 and -0.06?\nAnswer: -1.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 11 + 3*o - 6 - 6. Let r(h) = -5*h - 3. Let a(i) = -17*j(i) + 6*r(i). Determine a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 5:38 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -z. Suppose l - z = 2. Suppose -26 = -l*i - 10. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45100917 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223\/707 - 3\/101. Let s be (-15)\/(-25)*-3*(-4)\/(-54). What is the smallest value in -0.2, s, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188698457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 211*f**2 - 4882*f - 2324. Determine h(-232).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 8 + -1 + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, -8, -58, -160, -332, -592, -958?\n\"Answer: -3*t**3 + t**2 + 2*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*f + 65*f - 38*f.\nAnswer: 112*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39816 + -0.5?\nAnswer: -0.89816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:18 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330 (base 4) to base 10.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 3. Let p(z) = 14*z**2 + 48*z - 15. Let y be p(-4). Let t(x) be the first derivative of -18 - y*x - 5\/2*x**2. Give -6*t(k) + 34*u(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -44.\nAnswer: -44, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = -44. Let o(j) = -8*j + 22 + 2*j**2 - f - 3*j**2. Let k = -1329 + 1319. What is o(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48903 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*b**2 + 58*b**2 + 284*b**2 to the form f*b**2 + s + j*b and give f.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 6*i**3 - 3*i)*(-4*i**2 - 48 + 48) - 6*i**2 - i**4 + 6*i**2 + 3*i - 2*i**5.\nAnswer: 22*i**5 - i**4 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*b + 85*b + 4608 = 0. What is the nearest to -1\/4 in b, 3\/2, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 36 + -21 - ((-3 - -3) + -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**2*o**2 - 357*k**2 + 121315*o**2 - 941*o wrt o.\nAnswer: 16*k**2 + 242630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 630054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-8) - (-1)\/2. Let z be ((-2)\/d)\/((-3)\/9). Let a(r) = 12*r - 71. Let b be a(6). What is the nearest to b in -4, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 p when three letters picked without replacement from pvzzpvlzpzvzpz?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8569141 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2 - 10. Let i be (1100\/r)\/(2\/18). Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32447903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52 - b358a?\nAnswer: -b3620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3623?\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13769 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849657638?\nAnswer: 2, 2311, 183829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37905151 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -28. What is the second biggest value in 0.3, v, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 284967605 - 2*w - 284967605. Let y(u) be the third derivative of 2*u**5\/15 + u**2. Give i(y(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**15\/m*m)\/(m*m**11*m*m) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - -1) + -3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 4 - (0 + 1). Suppose -7*k - 40 = -5*k. Let v be 158\/8 + (-5)\/k. Calculate the greatest common divisor of b and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 + -0.2. Suppose 0 = 2*f - 2*t, 35 = -4*f + 8*f + 3*t. Suppose -f*p + 40 = -5*x, -2*x - 6*p + 2 = -2*p. Sort b, x, 4.\nAnswer: x, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from ijmdijdmvjjgijvmjjjj.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v - 5*v - 10*v - 12 to the form j + y*v and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(637) + -1)**2)*-5.\nAnswer: -3165 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1665+0\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3233?\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/65008 and 121\/97512.\nAnswer: 195024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from {m: 3, p: 2, k: 9, c: 1, v: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t**2 + 3*t + 3. Let f(a) = -43*a**2 + 8*a + 8. Let m = 290 + -298. Let r(k) = m*o(k) + 3*f(k). Let z(b) = -6*b**2. Calculate z(r(v)).\nAnswer: -486*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(252) + -5 + sqrt(252)*1 + sqrt(252))*3.\nAnswer: -19 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 85*v + 1304. Let d be q(20). Let y(k) be the second derivative of -2\/5*k**2 + 13\/15*k**3 + 15*k + 0 - 1\/5*k**d. Factor y(s).\nAnswer: -2*(s - 2)*(6*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*5.15.\nAnswer: 2.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7334 + -3894. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 5 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*(-5)\/2. Let s = c - -5. Calculate the common denominator of 23\/6 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -79, -1 in ascending order.\nAnswer: -79, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 3*t**2 - 2. Let l be h(2). Let c be 776\/(-4) + (2 - l). Round c to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 4, 2.\nAnswer: -3, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -3 + -55 + 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 1. Let f(b) = 45*b + 3 + 10 + 11. Let n(d) = -f(d) - 3*h(d). Find the first derivative of n(g) wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -26, 17, -4.\nAnswer: -26, -4, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/9)\/(m**(5\/6)*m*m)*m*m**(-1)*m\/m**4 assuming m is positive.\nAnswer: m**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f + 9. Suppose 4*n + 3*d - f = -0, 0 = 2*n + d - 6. Factor 3*z**n + 0*z**3 - z**4 - 48*z**2 + 6*z**3 + 64*z + 3*z**3.\nAnswer: -z*(z - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sscobru. What is prob of sequence bsur?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -44, -6, 2, -1, 8.\nAnswer: -44, -6, -1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -31*z - 100. What is v(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*m - n = 172*m - 17, -4*m + 12 = -4*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -126200 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 39?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 17110598*b**2 + b - 17110590*b**2. Let m(s) = 560*s. What is h(m(t))?\nAnswer: 2508800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50545208 is divided by 50545205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-3))\/((-112)\/(-504))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 2}. Give prob of sequence uo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.30000076. Round l to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-9)*4\/((-16)\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (0 - (-1 - 8)) - (80 - 84)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 6. Let d be x(-6). Let j = 5 - 3. Solve d = -v + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195.200453 - 195.2. What is q rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*c**4*u**2 - c**4 + 4*c**2 + 7*u**2 wrt c?\nAnswer: 3504*c*u**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4583.0294081 and -0.06.\nAnswer: 4582.9694081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**7\/210 + 71*u**6\/120 + u**5\/30 - 94*u**3\/3 - 80*u**2 + 5. What is the third derivative of n(i) wrt i?\nAnswer: -24*i + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169582 and 2119775?\nAnswer: 4239550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 + 90741*z**3 + 913819914*z**2 + 3053302748412*z - 107988920611320 = 0. What is z?\nAnswer: -10094, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**2*z**2 + 6130*m**2*z - 2*m**2 - 500*m - 267*z**2 wrt m.\nAnswer: 6*z**2 + 12260*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426851 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 65 = 3*y. Suppose 39 = -2*v - y. Let f = v - -102. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 4*v**2 + 3*v**2)*(15*v + v + 0*v) - 4*v**3 - v**3 + 4*v**3.\nAnswer: 47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edbna. What is prob of picking 1 e and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 301856084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 15*i**2 + i**3 + 2*i**4 - 2 + i**3 - 8*i**2 - 6*i**2 as w*i + x*i**3 + m*i**4 + y + f*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Suppose 5*o + 2 = -8. Let f be -2 - (-1 + 6\/o). Let g(j) = -j**2 - f*j**2 + 2*j**2. Determine m(g(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**3 + 23*i**2 + 6. Let m(d) = -d**3 - d**2 - 1. Let y = -8 - -14. Let c(s) = y*m(s) + a(s). Find the third derivative of c(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:39 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 5. Let d be 154\/(-6)*(8 - -1 - 12). Let h(r) = 6 + d*r - 42*r - 30*r. Calculate 3*h(x) + 4*k(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3745 from -39.4.\nAnswer: 3705.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -56375048, 0.2, -0.3?\nAnswer: -56375048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 6 = -8*g. Let i(l) = 2*l - 3. Let o(z) = 1. Let c = 1 + 0. Give c*i(r) + g*o(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.497201 decades to years.\nAnswer: 64.97201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 886627 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/13, 5, -0.07491, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-35))\/((-8)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010000100011100011 - 1?\nAnswer: -11010000100011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -9, 9, 45, 105, 195, 321?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 204*a - 229*a - 319*a + 104*a)*(0 + 0 + 2*a)*(-21*a - 31*a + 4*a) to o + k*a**2 + j*a + c*a**3 and give c.\nAnswer: 62400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 671*15\nAnswer: 10065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 819910350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145424228 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.04 - 41.04. What is the second smallest value in 3\/19, m, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:25 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Let x = -1 + y. Let n(v) = v**3 + v**2 + x*v**3 + 0*v**3 + v - 2*v. Calculate n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10263.7718*0.5\nAnswer: -5131.8859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 847930830 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 8*j + 3. Let k = -17 - -25. Let d be f(k). Suppose 3*y - l = 26, d*l - 25 = -5*y + l. What is the greatest common factor of 21 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 0)*98\/4. Let z be 57946\/y*1\/2. Let v = -197 - z. Which is the third biggest value? (a) v (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 17*j**5\/20 + 11*j**4\/6 + 19*j. Find the third derivative of c(y) wrt y.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 4*m**2 + 2*m - 6. Let r(y) = y**3 + 8*y**2 - 9*y + 4. Let f be r(-9). Let a be o(f). Solve -3*h = -a + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 2. Let g be y(-2). Let w be ((-18)\/30)\/((-2)\/g). Let k be 0\/(-1) + w + -5. Put k, 2\/3, 4 in descending order.\nAnswer: 4, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63079\/8630 + -8\/863. What is the common denominator of z and 29\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 38*3\/(-6). Is (-2)\/7 + 1308\/y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**12*(n**(-44)\/n*n*n)\/n)\/(n**(-18)*(n*n**11*n)\/n*n) assuming n is positive.\nAnswer: n**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1237113 and -32\/2061855.\nAnswer: 6185565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 12. Which is the third smallest value? (a) 0.5 (b) -10 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2240 - -2240. Suppose 250 = c + c. Put -4, n, c in decreasing order.\nAnswer: c, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 15*u**2 - 34*u - 15. What is the units digit of r(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, 3, -1\/1328?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 35*k**4 + 2540*k**3 + 37105*k**2 - 17840*k - 21840 = 0.\nAnswer: -52, -21, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:12 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 9 + 9. Suppose 2 = 2*b + u*z, 2*b - b - 7 = -4*z. Which is smaller: 3\/65 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -214530, -214529, -214528, -214527?\n\"Answer: r - 214531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. What is the tens digit of n\/18 + (-88)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.069 and 0?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - f**2 - f**2 - 12 + 5*f**2.\nAnswer: 3*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -741 - -757. Which is greater: 10.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, -776, 12 in decreasing order.\nAnswer: 12, 5, 0.5, -776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*j**3 - 632 + 632 - 6*j**2 wrt j?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 1629*j**4 - 112395*j**3 + 2584809*j**2 - 19810521*j - 73002 = 0?\nAnswer: -2\/543, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -f - 5*y - 1, 0 = -f - y - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -46 - 168. Calculate the remainder when k is divided by 114.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1850591?\nAnswer: 7402364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96530.\nAnswer: 2, 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -98. Let o be (18\/4 - l) + (-48)\/32. Sort -1, o, 0, 4.\nAnswer: -1, 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 69, 5, 897, -6, -5 in descending order.\nAnswer: 897, 69, 5, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150248876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**2 + 11154*r + 10367643 = 0.\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(-18216)\/(-1584)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/8 or 3382288?\nAnswer: 3382288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 1171*n**4\/4 - 690*n + 968. Differentiate f(d) with respect to d.\nAnswer: 3513*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 2.60505.\nAnswer: 3.10505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 2*l - 33 + 32 - 263.\nAnswer: -2*l - 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4139 + -29020\/7. Let g be 1\/((-1)\/(-3)) - -1. Calculate the common denominator of 3\/13 - -4 - g and r.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0625 and -21777093585.\nAnswer: -21777093584.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-12 - -9) + 11 + -4 + (4 - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18626 is divided by 801.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 45 = -0*g. Suppose 4*m = -20, 5*v + 4*m + g = -0*v. Let d = v - -6. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -5*a**2 + 1\/2*a**3 + 2 + a. Let k(s) = -4*s + 11. Give -4*k(o) - 5*u(o).\nAnswer: o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from wvvexlwd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822077213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.33 and -2728.\nAnswer: -2726.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z - 22. Let t(n) = -16*n + 23. Let o(l) = 4*a(l) + 3*t(l). Calculate the remainder when 102 is divided by o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from eekkswsssk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 1415 = -5*r, 3*r = -h + 277. List the prime factors of h.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 46*f**2 + 50*f**2 + 14*f - 6 - 16*f**2. Let h be n(11). Is h\/306 + 2\/(-17) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 17*h - 7*h)*(476 + 57*h - 476) - 2*h**2 - h**2 + 2*h**2 + h - h - 2*h**2.\nAnswer: 909*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 6. Let o(p) be the second derivative of 37*p**4\/12 - 2498*p. What is i(o(d))?\nAnswer: -74*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 7. Let b be s(5). Let o = -8 - b. What is the derivative of 0*i - o + 4 + 2*i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b + 82?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1794762, -3590054, -5385344, -7180632, -8975918?\nAnswer: -10771202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 14) + -2 + -4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + l**2 - 5 + 5 + 5*l - 11*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 - 1. Let d be o(1). Let c(q) be the first derivative of 1\/4*q**4 + d + 5\/3*q**3 + 1\/2*q**2 - 4*q. Determine c(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l - 7. Let w(o) = 3*o + 23. Let r be w(l). Suppose -1275 = -r*g - 437. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 48*x - 291 = 0. Let m = 287 + x. Put 18, 0, m, -3 in descending order.\nAnswer: 18, 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 0 = -5*x. Let h be (261\/(-90))\/(824\/30). Let m = 2\/103 - h. Put x, m, 5\/2 in increasing order.\nAnswer: m, 5\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101100 + 111110011000000001?\nAnswer: 111110100001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(425) + 1) + -3)*6 - 1*sqrt(425)*1*3*6)**2.\nAnswer: 29160*sqrt(17) + 1242216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/4 + 27*g**4 - 723*g**3\/4 - 2331*g**2\/2 - 480*g + 1800 = 0. What is g?\nAnswer: -3, -2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20027.577us in minutes?\nAnswer: 0.00033379295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*u - 14*u + 44*u as c + d*u and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -479*p - 9. Let l be h(-7). Let d be (-4)\/6 + l\/3. Suppose f - d + 467 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14110 (base 5) in base 9?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 + 0 = 0. Suppose 42 = p*h - 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 11. Let b(s) = 5*s**4 - s**3 - 4*s - 4. Let f(j) = -6*j**4 + j**3 + 5*j + 5. Let t(h) = g*f(h) - 5*b(h). Find v such that t(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*w - 9. Let o(g) = -g**2 - 7*g. Let v be o(-3). Suppose -40 = -w*q - v. Solve 0 = 5*t + 5*k - 5, -6*k + k + 5 = -q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -305*z + 299*z + 498. Solve 36*q = z + 133 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*u**2 + 158 - 782 + 621 to the form t + v*u**2 + d*u and give v.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*v = -7, 0 = -3*g + 4*v - 7*v - 6. Let i(w) = -89*w**3 - 2*w - 1. Let u be i(g). Suppose -u = -6*s + 192. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2702*d**2 - 5410*d**2 - 2*d + 2710*d**2. What is t(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/3 - 118*g**4 - 3807*g**3 - 38146*g**2\/3 + 16640*g = 0. Calculate g.\nAnswer: -26, -5, 0, 1, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.14848*0.153\nAnswer: -0.02271744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2\/15 + 138449258*y\/15 + 23074876\/5 = 0.\nAnswer: -34612314, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - 243\/4. Let w = -53.16 - -46.16. Sort s, w, -2\/7, 3\/5.\nAnswer: w, -2\/7, s, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 13. Suppose 4 = 3*c - 8, -2*c = -3*p + 262. Is j + -1 + 2 + p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 38*n - 305. Let w be s(8). What is the smallest value in w, 13, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.22 - 122.1. Let n = -0.12 + r. Let u = 30.09 + n. Is -0.2 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073834833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poppppfpop. What is prob of picking 3 p and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 9*s**2 - s - 3. Suppose -3*a - 5*m + 35 = 0, -6*a = -a - 5*m - 5. Let w be o(a). What is the greatest common factor of w and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 33*q**2 + 14*q - 14. Let y be n(1). Let v be (-293 - y) + (5 - -1). Does -320 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10914\/(-9) + -2)*12\/(-8). Suppose -179 + g = 31*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188 and 27260?\nAnswer: 27260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 287 and -0.5?\nAnswer: -143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 4 (c) -4\/263 (d) -5\/3 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55493830 or -55493814?\nAnswer: -55493830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 213, 486, 881, 1404, 2061, 2858, 3801?\nAnswer: 4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 46806*c + 140409.\nAnswer: (c - 46803)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - -85477?\nAnswer: 85492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 8:33 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v**2 - 45*v**2 + 39*v**2.\nAnswer: -58*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2373*a*c*u + a*c + 4*a*u - 169*a - 128038*c*u + 2*c + 19*u + 1 wrt a?\nAnswer: -2373*c*u + c + 4*u - 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 662931*q - 3314658. Determine x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 4*q + 10. Let l be b(5). Suppose l*k - 10 = 10*k. Suppose k + 22 = c. What is the second smallest value in 0.5, c, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -137, -1287, -4463, -10679, -20949?\n\"Answer: -169*n**3 + n**2 + 30*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 793977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:25 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g - 4*i + 17868, 2*i = -4. Suppose 2*t = 7*h - 2*h - g, h - 901 = 4*t. Let x = h + -583. Round x to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6*p. Suppose 5*x - x - 32 = p. What is the third derivative of -2*o**4 - 4*o**4 + x*o**4 + 2*o**2 + 0*o**2 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139169 and 26163772?\nAnswer: 26163772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1927786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/12 + 2*x**3\/3 - x**2. Let l be c(8). Let q = -11 + l. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 621?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (3 - 0)) + 11. Let i be -27*(60\/t)\/(-5). Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c. Let o(n) = -138*n**2. Give o(k(m)).\nAnswer: -2208*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1059.6? (a) 1\/22 (b) 1\/3 (c) -1\/4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4.4 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13158, 16910, 20664, 24420, 28178, 31938?\nAnswer: 35700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 11) to base 12\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 13.1?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 16 - (-27 + 29 - (-5 + 13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1478 divide 2545848075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 8*z**2 + 6*z + 5. Give a(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-32))**(1\/23)\/(s**(-1\/26)\/(s\/(s**(-23)\/s))) assuming s is positive.\nAnswer: s**(14141\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8314 - -14843\nAnswer: 6529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -4\/7, 5\/8, 0.\nAnswer: -5, -4, -4\/7, 0, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-148)\/(-8))\/(3\/60*-2). Let l = y - -200. Suppose -2*f - 2 = 2*d - 8, 0 = -3*d - 4*f + 10. Solve d*v - l = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u = 3. Suppose 100 + 29 = u*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*n - 296*n + 324 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 14.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-49)\/(-4))\/((18\/(-6))\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119.1035 and 2.7.\nAnswer: -321.57945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiiiiijiiijijjiiiiii. Give prob of sequence iiij.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*h + 9, 0 = -3*p + h - 4 - 2. Let y(a) = -a**2 + 16*a - 56. Let q be y(10). Let i be (q + -1 + -4)*15\/(-78). Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 48. Let l = 0.07 - -4.93. Which is the closest to j? (a) 1 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + (-55)\/22)*(4\/8)\/(3\/12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10808 and 252?\nAnswer: 97272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -20. Suppose -3*t + 13 = o. What is the second derivative of 2*x**3 + 4*x + 2*x**t + x wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 689 and 1749?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4*y + 23. Let r be k(-3). Let i be (10\/60)\/(1*-1). Let z = -3.6 + 4. Which is the nearest to z? (a) i (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 251829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 340, 1, -4 in decreasing order.\nAnswer: 340, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4104639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 836756000 to the nearest one million.\nAnswer: 837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 11*u - 150 = 0. Put -1, -2, 3, u in decreasing order.\nAnswer: 3, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698403 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 + 206. Let p be ((-3)\/6)\/(u\/(-30)*3). Sort 2, -3, p in increasing order.\nAnswer: p, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24463*d**3 + 2*d**2 + 5355*d - 3?\nAnswer: 146778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12907696 by -1613462.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Suppose -3*v = -5 - b. Suppose -v*m = -47 + 2. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-99)\/(-21) - 4\/(-14). Suppose -4*h = o*d + 39512, 3*d + h = -h - 23706. Round d to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 + -84.\nAnswer: -83.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x - 11. Let l(s) = 9*s + 6. Let g(z) = 6*j(z) + 11*l(z). Let i(b) = 6*b. Determine g(i(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2712450*g**2*m*t**3 + 13*g**2*m*t - 2*g**2*m - 123*g**2 + 6*m*t**3 - 575 wrt t.\nAnswer: 16274700*g**2*m*t + 36*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 69.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -5 - -7 - (-91 + 79)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6952\/124 + (-580)\/8990?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + -4*(sqrt(1728) + 3)*1*-4.\nAnswer: 46 + 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + b - 3 = -0, b - 5 = -5*p. Let c(f) be the first derivative of f + 1\/2*f**2 + p. Find the first derivative of c(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13595*o - 1 - 7225*o - 6761*o + 1 in the form y + l*o and give l.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 255596563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*d - 249, -2*k - 3*d - 156 = -0*d. Let o be k\/63*(-2)\/6. Let o*r**3 + 6\/7*r**2 + 0 + 3\/7*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/13944348 and -94\/15.\nAnswer: 69721740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288971 + 288971 - 8*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 2 (c) -1\/226 (d) 4\/5 (e) -5\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2476331044 to the nearest integer?\nAnswer: 49763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 3. Let g be a(0). Let o(l) = -3*l**3 - 4*l**2 + 5*l - 4. Let q(h) = -5*h**3 - 8*h**2 + 10*h - 8. Let i(f) = 7*o(f) - 4*q(f). Calculate i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -46 in ascending order.\nAnswer: -46, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4011ef - 39?\nAnswer: -401228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*s**4\/3 + 8795*s**3\/3 - 14888*s**2 - 9264*s = 0 for s.\nAnswer: -12, -579\/1027, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.0965 + -0.0965. Which is the closest to 0.4? (a) 3\/5 (b) -1\/2 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 52 = -4*j, -j = 2*n - 2*j - 41. Let k(h) = -14*h + n*h - 4 - 6*h. Give k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1660 divided by 229.\nAnswer: -1660\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -451 + 1354\/3. Let -1\/3*p**4 + 1\/3*p**3 + n*p**2 + 0 - 1\/3*p**5 + 0*p = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 297.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306.8 + -306.81234. Round n to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.3 + -5.8. What is the biggest value in 4, -1\/9, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146701 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292055544 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1.35. Round f to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y*((y**7\/y)\/y*y)\/y)))**(-1\/41)*(y\/(y**(-11)\/y))**(-15) assuming y is positive.\nAnswer: y**(-8000\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2333839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -917\/141 equal to -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053033 to 3 decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 3) to base 5.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -208, -1098883, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 4*d - d)*(6 - 3 - 2) - 4*d + 10*d + 2*d + 728*d + 3 - 12 + 451*d - 1470*d to the form s + u*d and give u.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -625 divided by -2372.\nAnswer: 625\/2372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3*l**2 + 215*a**3 + 4*a**2*l**2 - 4*a**2*l wrt l?\nAnswer: -6*a**3*l + 8*a**2*l - 4*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1944)\/704*(-16)\/(-24) - 3\/(-4).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -220, -223, -226, -229?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/10 + 16*a**2\/5 - 33*a\/10.\nAnswer: a*(a - 1)*(a + 33)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*24\/760*-10. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34\/(-5))\/((-4)\/30) - 0. Sort z, 3, -2, 0.\nAnswer: -2, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004468 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*i = 5*i - 17, -2*f - 3*i = -13. Suppose -f*z + 5*n + 19 = -z, -z + n + 3 = 0. What is the third smallest value in z, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174342.\nAnswer: 2, 3, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/(-105))\/((-12)\/(-30)*1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y*y*((y\/y**20)\/y)\/y)\/y)\/y)\/y)\/y)\/y**49)**(-5\/13) assuming y is positive.\nAnswer: y**(360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 27342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282 - 840 + 283 + 276 + 2*p - 3*p.\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -14, 1\/2714 in descending order.\nAnswer: 1\/2714, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 11*s - 26. Let z be u(-5). What is the second derivative of -637*l**4 + 6*l + 12*l + 673*l**z wrt l?\nAnswer: 432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*o = -0*n + 34, 4*o + 44 = 4*n. Suppose -n*y + 156 = -4*y. What is the remainder when 75 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*b**3 - 720*b**3 + 1840*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u = 18*u + 3*u - 730 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172 by -4.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p)**(-6\/17))**(-5)*(p**(-1\/2)*p*p\/((p**(-1\/5)*p)\/p))\/(p**0\/p)**(1\/4) assuming p is positive.\nAnswer: p**(63\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -4, 2 in descending order.\nAnswer: 8, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 42. Solve 2 = -m*j + 4*y - 0, 35 = -5*j - 5*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00572509397 to four dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o**(2\/7))**(-3\/5) assuming o is positive.\nAnswer: o**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.059 in 2\/7, 0, 3995?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, -6, -60, -168, -348, -618, -996, -1500?\n\"Answer: -3*b**3 + 3*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/272*-2*3\/48)\/(6\/(-72)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 119251 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*z - 48. Let h = z - -47. Let w be 21\/9 - 2\/(-3). Put h, w, 5 in decreasing order.\nAnswer: 5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4637 - -63.07488.\nAnswer: -4573.92512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -39 + ((-349440)\/(-2960) - 79)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 q when three letters picked without replacement from qqeeefeqqyifefbeef?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 - 988476*g**2 - 59304510*g - 889547400.\nAnswer: -3*(g + 30)**2*(g + 658924)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 122, 89, 54, 17?\n\"Answer: -z**2 - 30*z + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-424)\/4)\/(((-329)\/188)\/(91\/(-104))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 16, -15592, -5, -16.\nAnswer: -15592, -16, -5, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -504949*k**2. Let o(f) = 4*f**2 + 12. What is o(n(w))?\nAnswer: 1019893970404*w**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose 0 = -v - f*v. Put -3, 4, 1, v in descending order.\nAnswer: 4, 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -0.07015 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 694*i**2*o**3*y**2 + 3*i**2*o + 142*i*o**3*y - 3*i*o**2*y**2 + 4*i*o*y**2 - 180*i*y**2 - 2*o wrt o?\nAnswer: 4164*i**2*y**2 + 852*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337109 is divided by 6476?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*w = 1 + 1, 5*i + 5*w = -5. Let o(q) be the second derivative of -1\/20*q**5 + 2*q**i + 0*q**4 + 2*q + 1\/6*q**3 + 0. Determine o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/(-234)*(1 + (-3 - -6)) and -91\/10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhehehhhhhhehe. Give prob of picking 2 e and 2 h.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -3 - 1\/6*p**3 - 13\/4*p**2 + 0*p. Determine d, given that x(d) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4774 - 3610. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 3*j + y, j - 4*j + 144 = -4*y. Suppose -5*l + l + j = 0. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529656 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from rlrrrlrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + -2 + ((sqrt(13) + 0 + -3)*4 + 4*(sqrt(13) - (-5 + sqrt(52))))*4)**2.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + g + 16. Factor 6*l**3 + 0*l**3 + l**4 - 3*l**3 - g*l**2 - 2*l**3.\nAnswer: l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 10 = 2*w. Suppose -5*i - 3*x + x = -267, i - 63 = w*x. Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1070, 2578 in decreasing order.\nAnswer: 2578, 5, -1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 9*n - 12. Solve m + n*m - 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4848808 divided by 71306\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17146 is divided by 5713.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n)\/(n\/(n\/((n*n**(-5\/6))\/n)))*n**(3\/2)\/n*n**(2\/17) assuming n is positive.\nAnswer: n**(-283\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1 - 10) + -193 + 181.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5735 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 g be ((-8)\/(-42))\/((-60)\/(-70)). Let m = -2 - -2. Is m at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463054139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0536 times -0.25?\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 8 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 19*f = -750. Suppose 6*w - 3*w = -q + 54, -3*q + 3*w = -f. Let m(o) = -16*o + 4. Let v be m(-4). What is the highest common factor of q and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 1 w when three letters picked without replacement from {p: 1, n: 2, w: 2, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-28)*o*o\/((o\/(o**(-17)*o))\/o)*o*o**(4\/7)*o\/(o*o**(-14)\/o) assuming o is positive.\nAnswer: o**(-171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m - 6. Suppose 0 = -2*z - 6. Let n be -1 - (-4)\/(-3)*z. What is the smallest common multiple of i(n) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6216 and 8.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 4*u + 5*g + 7, -2333*u + 4*g + 10 = -2331*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/((-2)\/42). Let i = -6 + w. Let f(q) = -q**3 + 6*q**2 - 4*q - 4. What is the remainder when i is divided by f(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and (0 + (-3 - -2))*-18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272057.\nAnswer: 197, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001010010110111 (base 2) in base 11?\nAnswer: 70929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1226*b - 377. Determine t(1).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 6*u + 7. Let r be g(1). Let k(t) = 2*t**2 - 4*t - 6. Let p(c) = c**2 + c + 1. Let f(j) = k(j) - p(j). What is f(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4\/9, -19, 0.4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 7*p**2 - 10*p + 9. What is the lowest common multiple of 75 and j(5)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-20)*r)\/(r*r**(-2\/59)) assuming r is positive.\nAnswer: r**(1300\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73421209 and -1?\nAnswer: -73421209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1116850443 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 2\/7 (c) 1\/12 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 4*q + 2. What is b(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 20328*w**2 - 40659*w\/2 + 40657.\nAnswer: (w - 40657)*(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 637*q + 882 = -638*q, 2*u - 468 = 5*q. What is the remainder when 451 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**3\/3 - 11*j**2\/2 + 3*j - 3. Let i be a(8). Suppose -2*t = -4*t + 5*k + i, -k = 5*t - 148. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -4\/3 in descending order.\nAnswer: 9, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -20, j + 5*f = -3*j - 36. Let z be (1 - (-6)\/j)*7. Suppose z*k - 185 = -3*m, -k - 3*m + 0 + 53 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1223, -11, -0.3, -26 in ascending order.\nAnswer: -26, -11, -0.3, 0.3, 1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307296 is divided by 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/1 - -1) + 0. Let u = 518\/723 + -12\/241. Determine m, given that -8\/3*m - u - 2*m**n = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 + 132*a**4 + 1767*a**3 + 6498*a**2 = 0. What is a?\nAnswer: -19, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1\/12 (b) 7 (c) -5 (d) 4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 942 and 628?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47008057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.56 - -2.56. Suppose -5*a - 17 - 13 = 0. Let m be a\/(-15) - (-48)\/(-70). What is the biggest value in m, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*r + 10, -5 = 9*r - 4*r. Which is the nearest to -2? (a) -2 (b) 0.3 (c) -0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11356.66 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.032561 days to nanoseconds.\nAnswer: 2813270400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -813 (base 10) to base 13.\nAnswer: -4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) + 2 + -1. Let j = -2.96 + 0.16. Let r = j + 2.6. What is the second biggest value in -4, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.30806 + 0.07171. Round h to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + 296.247356.\nAnswer: 296.237356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 17*k - 19*k + 24, t - 2*k + 27 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1575 by -525.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 25*d**2 + d. Let y be ((-87)\/(-6))\/((-243)\/(-122) - 2). Let h = y - -1868. Calculate the remainder when h is divided by w(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*329.2672.\nAnswer: 65.85344","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 - 7. Let i(s) = -9*s**2 - 13. Let d = -2 - 2. Let z = d + 7. Suppose z*k = 15 + 3. Determine k*i(y) - 11*q(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 612 = -612. Find v such that 0*v**2 - 2\/7*v**4 + x*v + 2\/7*v**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 0*u - 10*u**2 + u. Let s(k) = 8*k + 4*k - 21*k - 4*k + 11*k. Determine r(s(j)).\nAnswer: -32*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 780 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130 - -127) + -5 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28564.1018 - -0.1.\nAnswer: -28564.0018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2) + 11\/(33\/10). What is the nearest to u in 0, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -7, -8, -19, -46, -95, -172, -283?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-4) - 5)\/2. Let n(b) = b**3 + 2*b**2 - b - 3. Let r be n(-4). What is the tens digit of u*(-4)\/((-4)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -980*q**3 + 2100*q**2 - 285*q + 10.\nAnswer: -5*(q - 2)*(14*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 - 3*l. Let n be g(4). Suppose -4*r + 368 = 2*c, -2*r + 104 + n = -5*c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 10. Suppose v + 14 = -v. Let g be i(v). Suppose -g*k + k + 38 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 + 3*x**2\/2 - 2*x - 7. Let t(b) = b - 1. Let w(g) = -f(g) + 2*t(g). Let q be w(-3). Solve 3 = 3*c - q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3328 and 9688?\nAnswer: 4030208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 89*j - 84*j - 521*j - j**3.\nAnswer: -2*j**3 - 694*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8149, 2\/13, 0.4 in increasing order.\nAnswer: -8149, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 333 - 1273. Let q = m + -186. Suppose 0 = -3*r + 2*z + 35, 3*z = r - 8 - 13. Calculate the smallest common multiple of q and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 16 + 2. Let c(a) = a + 554*a**2 - 555*a**2 + y*a + 7 - a**3. Let t be c(-3). Solve -t*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.12 - -792.12. Let q = -777.9 + x. Let g = 0 + 0.08. Is g greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182899271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*z - 33 + 451*z + 33.\nAnswer: 232*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*d - 25 = -5*g, d = 4*g - 15. Let c(j) = j + 1. Let y be c(0). Let f(v) = -v**3 - 13*v**2 + 47*v - 17. Let w be f(-16). Sort w, g, y.\nAnswer: w, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11991532\/13 + 921867. Let k = 558 + a. Let i = k - -89\/117. Is i at least as big as -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/32 - t**3\/24 - t**2\/16 + t\/8 - 15. Factor b(y).\nAnswer: (y - 1)**2*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2583 - 1765. Let p = -814.696 + h. Round p to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044722 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 539.4809 decades?\nAnswer: 5.394809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3949*p**2 - 240884*p + 293. Determine b(-61).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 16 - 19)*(-2*v + 3*v + v).\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -68, -170, -334, -572, -896, -1318, -1850?\nAnswer: -2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -187a390?\nAnswer: 187a395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 64 = 7*f + 3*g, 0 = 4*f + 2*g - 144. What is the third derivative of -100*j**2 + 42*j**2 + 26*j**4 + f*j**2 wrt j?\nAnswer: 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 - -240.029. Let d = b - 0.0206. What is d rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 5*k**4\/22 + 2*k**3\/33 - 4*k**2\/11 + 48. Determine s, given that v(s) = 0.\nAnswer: -1, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36014.\nAnswer: 2, 11, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let u be 90\/36*x\/(-10). Which is the fourth smallest value? (a) 1\/7 (b) -5 (c) u (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (16\/3)\/2*(288\/66)\/4 and 3\/710?\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s + 2*s + 8*s + 3*s + 12*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-564)\/(-9) - (8\/(-6) - -1) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 29. Let s = 14 + b. Let a(c) = 32*c**3 - 20*c - 20. Let p(o) = 11*o**3 - 7*o - 7. Let v(w) = -6*a(w) + 17*p(w). Determine v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 1 + 49. Let w = g + -191\/4. What is the closest to -2 in w, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1007412\nAnswer: 1\/1007412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Let j(q) = -2*q**2 - q - 20. Determine -3*a(n) - j(n).\nAnswer: 2*n**2 - 2*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23.4 times 1692\nAnswer: -39592.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231\/19 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/4*((-66)\/18 + 14) and 179\/30 + (-2)\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 8. Let q be i(4). Solve 0 = -q*o - 2*t + 3*t - 10, -2*o + 5*t + 4 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 570.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4 + 19, 3*d = -2*f + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/120 + d**5\/15 + 5*d**4\/24 - d**3 + 515*d**2. Let g be (-10)\/(9\/(4 - 7) - -1). Determine p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and 88312243955.8?\nAnswer: 88312243968.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -48 + -150 + 154?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.28 - 2.279508. Round r to five decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8*r**2 + 10*r**2 - 17*r**2.\nAnswer: r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*w**3 + 370*w**3 + 381*w**3)*(w + 2*w + 2 - 2*w).\nAnswer: 578*w**4 + 1156*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 6 - (137 + -163). Solve 43*l - d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104767 and 2379?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 726862.6 centuries?\nAnswer: 872235120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*u - 343 = -185*u + 405 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1838*i + 1836*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -0.11, 0.4, -4, 0.3, -501?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 90742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 68835?\nAnswer: 68838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65) + 4*sqrt(65)*3)*3)\/(((sqrt(80)*3)\/sqrt(4) + sqrt(20))*-2).\nAnswer: 117*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-1\/9)*a)\/a**(-4))**(-4\/5))**(-1\/14) assuming a is positive.\nAnswer: a**(128\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Let m(u) = 11*u + 6. Let v(a) = 8*a + 11. Let d(g) = 3*m(g) - 4*v(g). Give d(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1098675200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/((sqrt(108)*1 - sqrt(108) - sqrt(108))\/sqrt(9)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 855 by -3.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)\/(-9 + 7). Let c = 9 - x. Let s = c - -3. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149933 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: Collect the terms in -160694 + 17*x - 7*x - 5*x + 160696 + 14*x.\nAnswer: 19*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) -1 (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 316*l**2 + 28*l + 10. Let q(r) = 104*r**2 + 9*r + 3. Calculate -10*q(y) + 3*v(y).\nAnswer: -92*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 155 and 152 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -65 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose n = -3*g - u + 19, -4*g = -4*u - 8 - 44. What is the greatest common factor of g and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 516689014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.041948 days in seconds?\nAnswer: 262824.3072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 3) to base 12\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7309008969 rounded to two decimal places?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/(t**18*t) assuming t is positive.\nAnswer: t**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 - d - 8. Let z(f) = -5*f**2 - 9. Let a(l) = 4*y(l) - 3*z(l). Determine a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3517, -3521, -3525, -3529, -3533, -3537?\n\"Answer: -4*i - 3513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 42 = -24. Let u(v) = v + 1. Calculate u(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -108, -194, -318, -492, -728?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6abc + -87?\nAnswer: -6b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 13}. What is prob of picking 2 e?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 406236 - 139153. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 + 1136292*y + 1136294 = 0. What is y?\nAnswer: -1, 568147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04272 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 34 = 7*q - 3*u, 0 = 3*q - 5*u - 46 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13572025?\nAnswer: 5, 41, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*x**2 - 1792*x**3 + 591*x**3 + 4*x**2 + 591*x**3 + 604*x**3.\nAnswer: -6*x**3 - 98*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7200 (base 8) to base 14.\nAnswer: 14d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32 and ((-1)\/36)\/(50\/12500)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1911620*z**4 - 2604338 wrt z.\nAnswer: 7646480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2, -7*t - 3*k = -3*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 2. Suppose -5*j - 1 = -2*p + 1, 3*j = -2*p + 2. Give w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8*g = -246. Suppose 4*d - g = 15. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 53*j - 7442 - 11258. What is the highest common divisor of 1012 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 619 - 618.15. Suppose 2*b + 5*l + 111 - 25 = 0, 3*b + 129 = l. Let t = -44 - b. Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2 - 2*w + w**3 + 15*w**2 - 1 - 5*w**2. Let o(u) = u**2 - 606*u - 2450. Let f be o(-4). What is d(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 286, 1, -2\/13, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + (-5)\/(-28). Suppose -153 = -188*f + 35. Which is the third biggest value? (a) -0.3 (b) f (c) y (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/11 + 19\/55. Put b, 1, -2\/17, 2\/7 in descending order.\nAnswer: 1, b, 2\/7, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 17, l: 1, s: 1}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/440 and -4\/831415.\nAnswer: 73164520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4668 - 3681. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*z - 63 + 460*z + 63 - 922*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*v**3 + 138*v**2 - 27\/2 + 12*v = 0 for v.\nAnswer: -9\/10, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26650 - 11238. List the prime factors of i.\nAnswer: 2, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 15.1. What is the smallest value in -2, 2, 4, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 5*(0 + 1 + sqrt(13))) - (-3 + 2 + 2 + sqrt(1573) + sqrt(1573) + -3).\nAnswer: -12*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97656.856967 - 0.143033. Let v = m - -97658.50001. Let d = 1.5 - v. What is d rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose -5 = -5*g + 2*y, -y + 14 = 5*g - 2*g. Let d be (-105)\/(-450) + 2\/g. Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + 180*s**3 - 2*s**2 + 36651*s?\nAnswer: 24*s**2 + 1080*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 16*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -195*w - 129. Is c(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -42*k + 89. Calculate a(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-15 - (8 - 16)) + 11 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -19, -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003863593122 to six dps.\nAnswer: -0.003864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 3220?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41128 is divided by 1080?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 - 176*b**2 + 1076*b - 1480 = 0 for b.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -1.2.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 + 4 = 0. Let q(d) be the first derivative of -2\/3*d**3 + 0*d**f + 0*d + 1. Let c(z) = 2*z. What is c(q(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 193*m + 4 - 97*m.\nAnswer: -275*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u + 3. Let v(x) = x**3 + x**2 - 2*x - 3. Let o(w) = 2*g(w) + 3*v(w). Let f be o(-4). Let q = f - -19. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s**(-3))**(1\/6) assuming s is positive.\nAnswer: s**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8587, -17185, -25787, -34393?\nAnswer: -43003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -42, -130, -276, -486?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(864)*4))**2.\nAnswer: 19\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 89344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) - 0 - -3. Suppose 0 = -0*j + p*j - 7800000. What is j rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(190)*1 + sqrt(190)) + sqrt(190) + (2*sqrt(190) + sqrt(190))*-2 + sqrt(190))\/((sqrt(100)\/sqrt(5))\/sqrt(2) + sqrt(20)\/sqrt(72)).\nAnswer: -36*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -5, -87 in decreasing order.\nAnswer: 26, 0, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101, -199, -297, -395, -493, -591?\n\"Answer: -98*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063888?\nAnswer: 2, 3, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3086042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 32, 40?\n\"Answer: 8*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1055, -2820, -5183, -8144?\n\"Answer: -299*h**2 - 868*h + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -19, -0.3, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -755.07 rounded to the nearest 10?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d - 12*d - 16*d)*(0 + 1 + 1) + (-2*d + 2 - 2)*(3 - 2 + 1).\nAnswer: -84*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 10:19 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by -6\nAnswer: -115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1311 in 0.16, 7, -9, -1\/2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11362006 or 2\/3?\nAnswer: -0.11362006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 11*r**6\/120 - r**5\/20 + r**4\/4 - 5*r**3\/3 + 16. Let u(m) be the third derivative of t(m). Is u(2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 3*k = 7*i + 13, i + 3*k = 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321\/5738 - 1\/302. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321134 or -321130?\nAnswer: -321134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 141*d**3\/2 - 224*d. Let x(m) = -2*m**2. What is r(x(h))?\nAnswer: -846*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-20)\/(-210)*14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**6\/180 - 11*s**4\/12 - 3*s. Let f(o) be the third derivative of j(o). Let a(i) = -4*i. Determine a(f(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*b**3*f*m**2 - 6*b**3 - 2558*b**2*f**2*m**2 - 10*b**2*f**2 + 7*b**2*m + 2*f**2*m + f**2 wrt m?\nAnswer: 118*b**3*f - 5116*b**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*b = -18, -2*p + 9 = 2*p + b. Let o(s) be the first derivative of -s**4\/4 + s**3 + s**2\/2 - s + 1. Determine o(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*h = 2*v, -5*v + 32 = 4*h. Let j = v - -1. Let u = j + -8. What is the third smallest value in u, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23895\/2 > -1\/3576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9670.4931 rounded to the nearest 100?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 7 - 1. Let f = -3 + p. Suppose 0*y + f = y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143241956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.03898 + 1.056. What is v rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264278127807163 - 7*c**2 + 264278127807163.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.063 - -0.063. What is the closest to 2 in n, -2\/11, -4\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(11\/4))**49 assuming p is positive.\nAnswer: p**(-343\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*u - 14, -3*u + 13 = -f + 9. What is the nearest to 0.8 in u, -3, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002662 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -277437*q**3 + 4604*q**2 + q.\nAnswer: -1664622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m - 941. Give d(77).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*a. Let f(j) = -j**3 + 8*j**2 + 9*j + 1. Let d be f(9). Let z = 5 - d. Put a, 2, z in increasing order.\nAnswer: a, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 10 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*f + 449, 4*c + 2*f = -95 + 447. Suppose -2*w = -m - c, 3*w - 121 = 2*m + 2*m. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 13*q + (-q + 3*q - q)*(5 + 1 - 2))*(2*q + 8 - 8 + q**3 + 2*q**2).\nAnswer: 17*q**4 + 34*q**3 + 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + -4.3. Let d = 2 - 2.4. Let m = n - d. What is the second biggest value in m, -5, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.86002 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 5. Let g be (r\/15)\/(2\/(-96)). Let i = g - 28. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 + p + 1. Let y(w) = -295*w - 6*w**2 + 614*w + 1 + 6 + 10*w**3 - 313*w. Calculate -5*s(i) + y(i).\nAnswer: 5*i**3 - i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(2*r + 3*r - 4*r) + (0*r - 5*r + 2*r)*(-10 - 2 + 4) to b + z*r and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 4*y - 2. Suppose l = -l + 8. Calculate the remainder when c(6) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 18 - 20 + 54 - 45*s**2.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/8*184\/69?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 504, 5, -5 in increasing order.\nAnswer: -5, 5, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*q - 157 = -176, -3*q = -k - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -344*w**2 - 7*w + 61. Let c be g(5). Let s be (13336 + -5)*c + -6. What is s rounded to the nearest one million?\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -62, -2\/9 in increasing order.\nAnswer: -62, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3 + 6 + 7 + 1 - 9*i. Let t be m(-7). Suppose t = 5*u - r, -58 = -5*u - 4*r + r. Put -2, -5, 0.1, u in increasing order.\nAnswer: -5, -2, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhhhzz. Give prob of sequence zhzh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*n + 3*n - 395 + 20 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -405 divided by 15\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0 (b) 2 (c) 4367 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 11:45 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 + 335 = 3*h, 4*h + 5*a - 454 = 0. Is 6 - 3 - (6 - h) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r = 5020 + 9060. What is the greatest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4*m**3 - 70*c**4 - 168*c**2*m**3 - 5*c**2*m wrt c.\nAnswer: 72*c*m**3 - 1680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 92.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1.4, 4, 0.02 in descending order.\nAnswer: 4, 1.4, 0.02, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*o**4 + o**3 + 67*o**2 wrt o?\nAnswer: -816*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 437 by 362.\nAnswer: 437\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33573 - 66?\nAnswer: -33619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 1 - (0 - (0 - -1)). Suppose -6*u - b = -9. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3111 + 4880876554.\nAnswer: 4880873443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 - 4)*(2 - 3 - 3)*(-6*d - 8*d + 4*d)*(-d**3 + 1 + 1 + 2*d**3).\nAnswer: -440*d**4 - 880*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4*(-12 - -7)\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-1 + 0 + 4 + 2*(sqrt(700) + 1 + sqrt(700) + 3))*-4)**2.\nAnswer: 11520*sqrt(7) + 103104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 - 163*j. Let q(l) = 8*l**2 + 160*l. Calculate 2*q(x) + 3*u(x).\nAnswer: x**2 - 169*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 29*h + 42*h + 68*h.\nAnswer: 132*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7741 (base 13) to base 4\nAnswer: 10003213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -187.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 471, 5, -2, 0.5, 0.16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*((-4)\/3 - -2). Let t(p) = -3*p**2 + 5*p**x - 5*p**2 + 2*p**2. Let v(y) = -2*y**2. Calculate v(t(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + sqrt(612) + sqrt(612) + sqrt(612) + 5*sqrt(612) + 5 + sqrt(612) + 4)*1)**2.\nAnswer: 1188*sqrt(17) + 49693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + x = 11, 4*p + 19559956*x = 19560006*x - 504 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*s - z - 20, z = 2*s - 23. What is the greatest common factor of 84 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -53*l - 45. Let f(j) be the first derivative of -9 - 15\/2*j**2 - 3\/4*j**l - 4*j**3 - 6*j. Factor f(y).\nAnswer: -3*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-9) + 18\/(-2). Find the common denominator of ((-14)\/(-6))\/((-6)\/30) and (6\/15)\/(j\/(-130)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 - -17?\nAnswer: 17.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 267*u**2 - 19*u + 555. Is a(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = -2*q - 50 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*i + 906*i - 464*i - 443 = 1 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.519049 rounded to 0 decimal places?\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/96)\/((-28)\/48)*18*22\/(-297)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -65*g + 2. Let a be y(-1). Let i = a + -27. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + 3 = 0. Let l(d) = 22*d. Is l(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 165251648 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-5)\/129 + 0). Suppose -4 = -3*d + 3*o + 14, -d = 2*o + 3. Suppose d*n + c = q, -n = -5*q - 0*q + 687. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.351892g?\nAnswer: 0.000008351892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(243) + sqrt(243)*1 + sqrt(243)) - sqrt(243))\/((sqrt(81)*-1*-1)\/sqrt(9)).\nAnswer: 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/9192013?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.119 + -2.1257578. What is x rounded to four dps?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**3 - 4*k**2 + 2*k + 5. Let v be u(-6). Let f be 2 - (-28754)\/(-16) - 1. Let s = f + v. Calculate the common denominator of 3\/20 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g**5\/5 + 192*g**4 - 1016*g**3 + 1520*g**2 + 14647. Factor d(b).\nAnswer: -2*b*(b - 380)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 6\/(-16)*(-172)\/(-12))*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -5. Let i = -0.87 + 0.17. Let w = 1 + i. Which is the biggest value? (a) g (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 19 + 44. Find the third derivative of -n*c**3 + 10*c**2 + 26*c**2 - c**2 - 28*c**3 wrt c.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 12*y**2 + 14*y - 16. Calculate u(-13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 34182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2005391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 28. Suppose 3 + 1 = 2*l + 4*y, 3*y + d = l. What is the greatest common factor of 66 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + 5.11. Let l = 53 + -32. Let i = -21 + l. Put -1\/5, i, r in decreasing order.\nAnswer: r, i, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*d**3 + 2*d**3 + 53*d - 5*d**3 - 2 - 54*d in the form n*d**3 + f + s*d**2 + o*d and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 4*i**4 - 34*i**3\/3 + 91. What is the third derivative of r(s) wrt s?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 - 0.04. Which is the smallest value? (a) h (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0059596 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110110110 + -1?\nAnswer: 100110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 + 8*d - 2 - 2.\nAnswer: 8*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 10934?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/7 + 294*d**4 - 184762*d**3\/7 - 963042*d**2\/7 - 167220*d = 0.\nAnswer: -3, -2, 0, 105, 929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4627674, 4627636, 4627600, 4627566, 4627534?\n\"Answer: g**2 - 41*g + 4627714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22761)\/(-4215)*(-16)\/(-12).\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40c751 - 73?\nAnswer: -40c7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 605097 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 663*l**2 + 6040*l**3 - 411*l**2 + 4*l**4 - 5780*l**3 - 4*l**5 = 0?\nAnswer: -7, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 i when four letters picked without replacement from iiziiuiihhizihii?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 9, f: 1, j: 1, u: 5}. What is prob of sequence wju?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6619, 12961, 19303, 25645, 31987?\n\"Answer: 6342*u + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.5, 0.4, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/60 - r**3\/3 + r**2. Suppose -b + 2*b = 3*g + 10, 0 = 4*b - 4. What is the units digit of n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347953449?\nAnswer: 83, 16240403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 8*p + 5. Let f be n(-3). Let o be f + (-5*2\/(-5) - -9). Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 380, 374, 356, 320, 260, 170, 44?\n\"Answer: -i**3 + i + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 10:42 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (728\/(-234))\/((-6)\/27). Let w be (q + 12)\/(98396\/(-24600) + 4). Round w to the nearest one thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1545 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7*532.444\nAnswer: 3727.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -6. Let q = x - -1. Let z = q - -0.9. Which is the second smallest value? (a) z (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 55. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*t + 1. What is the second smallest value in t, 1\/5, 4, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4\/7, 2\/3, 3\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 4. Suppose 13 = i*z - 42. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -17, -28, -37?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -110. Let l(j) = -j**2 - 3*j + 8. Let r be l(w). Solve -5*f = -3*k - 13, -4*k - r + 2 = -f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003341 rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 43. Let h be x(19). Let n(j) = -4*j - 31. Calculate the remainder when 47 is divided by n(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1493*g**2*u**3 + g**2*u**2 + 3*g**2*u - 1526*g**2 + 2*g*u**3 - u wrt u?\nAnswer: 8958*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 166, 232?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 - (32 - 23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -6 in descending order.\nAnswer: 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**3\/11 - 42*m**2\/11 - 8*m\/11 = 0 for m.\nAnswer: -4, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19218241*l*m**4 + 6*l*m + 502601655*l with respect to m.\nAnswer: 76872964*l*m**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -14a3?\nAnswer: -14a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 at most as big as 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.775 + 0.5?\nAnswer: 942.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v - 24. Let f(p) = 2*p + 5. Let g(o) = -24*f(o) - 5*i(o). Let b be g(-6). Let z = 38 - b. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to -2\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -25. Let d = n - 24. Let s be (2 + d)*(-7)\/(-14). Solve 8 = -2*v - s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*i - 20, -11411677*r + 11411681*r - 7 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -5*s - 23*v + 27*v, -s = 4*v - 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1446 - 1059. Let m = 41\/2218 + -1284838\/3327. Let k = m + q. What is the second biggest value in 5, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i + 6 + 240 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f**3 + 28*f**2 + 7*f - 4. Let m(w) = -6*w**3 + 15*w**2 + 4*w - 2. Determine 4*b(u) - 7*m(u).\nAnswer: -2*u**3 + 7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**5 + 12*a**4 - a**3 - 2*a**2 = 0. Calculate a.\nAnswer: -1\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7357, -7442, -7765, -8446, -9605, -11362?\nAnswer: -13837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1225 and 83\/126322?\nAnswer: 3158050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*m**2 + 85*m**2 - m**3 - 828*m - 172*m**2 to i + k*m**2 + u*m**3 + z*m and give z.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 17\/(-4))\/3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(8700\/(-464))*1\/(-88)*-2\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(2\/12). Let b be 3\/(-1)*w\/3. Suppose 0 = b*a + 3*i - 0*i - 9, 2*a = 5*i + 33. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73614506.\nAnswer: 2, 7, 5258179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 11*p + 1. Give n(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*z - 3*h + 36, 0 = -z - 4*h - 1. Is 6 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1009 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4247 minus 439.09307?\nAnswer: 3807.90693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 611 = f, 30*f - 31*f = -3*k - 619. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from pmmmppppmpmmpppmppmm?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6681, 13623, 20565, 27507, 34449, 41391?\n\"Answer: 6942*x - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5403415*b**5 - 2885628*b**2 wrt b?\nAnswer: -324204900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.1 - -0.2. Let h = w - -7.59. Let b = h - 1.05. Round b to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -438*y**6 + 2*y**4 + 2*y**2 - 6874?\nAnswer: -52560*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l - u, 0 = -5*u - 2 - 8. Let y = -7 + l. Let n = 0 + y. Let b(j) = -j**3 + 2*j + 3. What is b(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 9*y + 7. Let o(g) = -3*g**2 + 13*g + 10. Let i(p) = 5*o(p) - 7*t(p). Determine i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5473 (b) 4 (c) 512 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 4 + 4 - 6. Let u(p) = -p + 11. Let h be u(8). What is the units digit of k(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 268 = 244. What is the third derivative of -9*k**2 - 2*k - 11*k**2 + 1022*k**t - 933*k**4 wrt k?\nAnswer: 2136*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37147611 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 1 s when three letters picked without replacement from jjzvvjzsj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9944*x - 103776 = 9898*x. Solve 2336 = -10*j + x for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 159*g**2 + 483*g + 18 = 0.\nAnswer: -3, -2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -866804, -1733587, -2600336, -3467033, -4333660, -5200199, -6066632, -6932941?\n\"Answer: 3*s**3 - s**2 - 866801*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 3*b + 4. Let i be n(-5). Let p be (-1 + 1)\/(-5 - i). Sort 1, p, -1 in ascending order.\nAnswer: -1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 - (-1 - (-4 + 2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 10\/4)*274\/(-411)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let j(l) = 33*l + 5. Let h(f) = 34*f + 3. Let x(p) = -4*h(p) + 3*j(p). Calculate q(x(c)).\nAnswer: 37*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1713, -3194, -4645, -6066, -7457?\nAnswer: -8818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 - -3) + -2 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, f: 3, o: 3, z: 3, d: 2}. Give prob of sequence fq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6021 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -4 - (0 - 3). Let c(a) = -5*a**j + a - a - 3*a**2. Let x(v) = 2*v. Give x(c(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 3*r**2 + r**3 + 2*r**2 + 24293 - 2*r**2.\nAnswer: r**3 + r**2 + 24293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 3*a + 2. Let r(v) = 4*v**2 - 12*v - 8. Let k(q) = -q**2 - 4*q + 3. Let u be k(2). Let w(m) = u*x(m) - 2*r(m). Determine w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 97\/(-2)*(-9 + -1). What is the greatest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 5*f - 13. Give r(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2222*j = -76937 + 13319 - 3042 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 859895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71505523?\nAnswer: 5197, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z + 1264 = -1436. Solve 5*s + 19 = -34*c + z*c, 0 = -2*s + 2*c - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*b**3 + 75397*b**2 - 13559771?\nAnswer: 48*b**2 + 150794*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4 + 47 = -o - 0*n - 41, 83*n + 2 = 81*n for o.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*r + 3*k - 16, 5*r - 5*k + 20 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 25, -5 in increasing order.\nAnswer: -5, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 times -9\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 4177 in increasing order.\nAnswer: 0.1, 3, 4177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 13 + 13*b - 7 to the form c*b + j and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 + 0.11. Let j = -2 - -2.1. Let m = -0.2 + j. What is the closest to z in -3, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3349.\nAnswer: -5\/3349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.887 - -0.113. What is the fourth biggest value in 5, o, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 17 = 4*x. Let j be (x + -6)*(-2 + 1). Solve -8 = -y - 3*k + 2*k, 26 = 2*y + j*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34919 is divided by 610.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 285 - 81. Let b = -198 + s. What is the closest to 2\/9 in -5, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16573426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -60721 + 1\nAnswer: -60720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7239 - 7212 - (-6 + -1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**6\/24 - q**5\/4 + 3*q**4\/8 - 218. Suppose u(r) = 0. Calculate r.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 43240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + -4 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694967.\nAnswer: 7, 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hll when three letters picked without replacement from klklkklhkhkl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*b + 101 = b, -b = 5. What is the remainder when 209 is divided by f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4504924?\nAnswer: 2, 659, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*p**4 - 1615*p**3\/2 + 2805*p**2\/2 + 920*p + 130 = 0. Calculate p.\nAnswer: -13, -2\/7, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -44.1. Let z = -8 + g. Let c = -0.16 - z. What is c rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/6*9\/3. Let f(i) = 2*i**2 - 110*i + 525. Let h be f(5). Calculate the greatest common factor of h and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 91*d**2 + 758*d - 215. Calculate v(81).\nAnswer: -4427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*7\/42*(-65)\/(-520))\/(564\/48)?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = 0, -r + 100 - 88 = -4*z. Solve -k = -4*n - r, -3*k + n = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h - 22. Let v be y(-6). Suppose -3*b + 85 = -v. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 103. Let f = -31 + b. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-26 - 32 + 14)*(-2*o + 4 - 4) + 0*o - 2*o + 0*o)*(3*o**3 - o**3 - 3*o**3) + 23*o**4 + 3*o**4 + 9*o**4.\nAnswer: -51*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8.5. Let g = -21 - 111. Let m = 132.5 + g. Which is the closest to m? (a) q (b) -1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3244.1611 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2. Let l = 111 - 104. Let o(y) = -y**2 + l*y**2 - 17 + 17. Calculate h(o(a)).\nAnswer: 108*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 13 + 32 - 7 = -3*g, 27*g = -4*z - 134 - 413 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*z + 22. Suppose -z*y + 110 = -7*y. Let r be (-165)\/2*24\/(-20). Calculate the highest common factor of r and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3131 - -3138. Solve -26*x + 57 = -m*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 19*n + 232 = -15*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuui. What is prob of sequence iuui?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1578 and 5296294?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:26 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(832)*-2 + sqrt(832)) - -5*(-3 + -1*sqrt(468)).\nAnswer: -14*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 687*v - 4662.\nAnswer: -3*(v - 222)*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 53*a = t - 153, 5*t - 44*a = -88*a + 43*a - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 20*w + 2. Let i be b(-20). Find the first derivative of -10*n**i + 22 - 6*n**2 - 4*n**2 + 4*n**2 wrt n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 301 - 254. What is the remainder when k is divided by 24*(0 + 0 + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - 96\/(-90). Let k = 19 + -25.3. Let q = 6 + k. What is the second smallest value in 0.3, q, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1. Let m(l) = l**2 - 4*l + 4. Let b(f) = m(f) + 2*y(f). Give b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 6 = 23*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -11 (c) 1 (d) -1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(((-2420)\/200)\/11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -576, -1, 5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/8 + 5169*f**2\/4 + 1850547*f\/8 - 2186811 = 0.\nAnswer: -3256, -199, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1090050 or 1090043?\nAnswer: 1090043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1190 - -2017. Suppose s + 169 = 2*i + 4*b, 2546 = 5*i - 4*b. Let l = i + -266. Calculate the greatest common factor of l and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13174\/(-196) + (-1)\/(-2). Let w = a + 67. What is the nearest to w in 4\/9, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 1267*j + 54 - 34 - 1248*j.\nAnswer: 19*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:17 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-4 - -2) - (11 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 1, k: 2, f: 1, h: 1}. Give prob of picking 1 f and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10143454*b*k**2 + 6*b*k - 73*b - 3418*k - 2 wrt k?\nAnswer: 20286908*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Let s = -0.4 - -0.2. Let x = 0.3 + s. Put f, -1\/3, x in descending order.\nAnswer: f, x, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*n - 318829 + 318827 + 1418*n as z*n + i and give z.\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321 - 320. Let r = 0 + -0.1. Let w = 0.1 + r. Which is the biggest value? (a) w (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6*g**4 - 15*g**3 - 8*g**4 + 12*g**3)*(-1 + 3 - 5).\nAnswer: 6*g**4 + 9*g**3 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 3 + 0 - 2*o - 5. Let p be z(13). Sort p, 7, 0 in increasing order.\nAnswer: 0, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v = 96 - 336. Let x = 64 + v. What is the highest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8880 and 5760.\nAnswer: 213120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhdh when four letters picked without replacement from hhhddhdhhhhddhhhhhh?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 10*h**2 + 5*h - 28. Suppose 5*a - 3*z = -39, 4*z + 10 - 20 = 2*a. Let x be y(a). Let t(b) = b**2 - 12*b + 38. Calculate t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(1\/2))))**(-8\/5)*b**(-1\/17)\/(b\/(b\/b**(-10\/3)*b)) assuming b is positive.\nAnswer: b**(886\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*w = 3691*w + 1796*w + 4438 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-146)\/511)\/((-3)\/84*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 - 38*b**2 + 24*b + 41. Let x(c) = 3*c**3 + 19*c**2 - 12*c - 21. Let o(j) = -4*k(j) - 7*x(j). What is the tens digit of o(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -1 + -5 - (1 + sqrt(51)\/sqrt(27)).\nAnswer: -7 + 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 54*g - 220. Let l be d(-5). Let x be -6 + 3 + (0 - 49). Let f = x + l. List the prime factors of f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -23*v + 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -37. Which is the closest to -0.06? (a) 5 (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.01, 1\/11, 5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27668717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1201\/5 - -243. Let k be (306\/(-48))\/(10\/4). Let v = l + k. What is the closest to -1 in 0.4, -2\/21, v?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r + 108*r = -48*r - 334376. What is the third smallest value in r, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 6, l: 6}. Give prob of picking 1 x and 1 l.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*h - 5 = 0, -3 = -16*n + 12*n + 3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6775.65 decades to years.\nAnswer: 67756.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 1, c: 4, e: 4, s: 1}. Give prob of picking 1 s and 1 u.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 7*c + 11. Let r be q(5). Let v = r + 646. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43140, 43199, 43258, 43317, 43376?\n\"Answer: 59*m + 43081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8*-1)\/((-240)\/144)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 3. Let a(y) be the third derivative of y**5\/12 - y**4\/4 + y**3 - 37*y**2. Let z(w) = w**2 - w + 1. Determine s*a(m) + 6*z(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -25?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 4. Let g be -1 + 1 + (12 - 10). Let x be 43 + g + 3 + -1. Suppose -x*c + 25 = -52*c. Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 - 3)\/(2\/88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*b + 28*n - 27*n, 3*n = -9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14929309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.7968 and -53.\nAnswer: 413.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 895 + -1362. Suppose 4*f + 2*r = -0*f - 920, -5*r - 1160 = 5*f. Let o = f - h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 0*n)*(3*n - 2*n - 3*n)*(-n + 321*n**3 + 0*n - 356*n**3).\nAnswer: -140*n**5 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/3 + 34\/9*u**2 + 182\/9*u + 2\/9*u**3.\nAnswer: 2*(u + 3)*(u + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/11, -88520, -2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020200 - 12?\nAnswer: -2020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 5*p - 2. Suppose 19*b = -40 - 17. Let l(s) = -s**2 + 6*s - 4. Let h(m) = b*i(m) + 2*l(m). Give h(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 52?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 2, g: 2, i: 1, l: 1}. Give prob of sequence ilc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-1 - -1)\/(2 + 1). Let a be (o - (-65)\/(-75)) + 4\/(-30). Suppose -6 + a = 5*i. What is i rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0412 or 0.1?\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + k + (-8*k - 6*k + 5*k)*(-3 + 5 - 5) - 3*k + 4*k + k)*(-3 + 3 - k**4).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/97 - -191\/291. Let k = -95425\/6 + 15904. Let s be (2\/10)\/(1\/(-2)). What is the closest to s in k, 0.5, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*x**2 - 394*x**2 + 12*x - 12*x - 404*x**2 - 403*x**2 + 1609*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - r**2 - 2. Let x be a(-2). Let i(f) = 10*f**2 + f**3 + 7*f**x - 15*f**2 - 3*f. Determine i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j + 2*j + 20*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g - 7 - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(6*m**3 - 10*m**3 - 3*m**3) + (-4*m - m + 2*m)*(2*m**2 + 0*m + 0*m).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 50598*n + 252914. Determine r(-5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(96))\/(sqrt(1452)*1 - sqrt(12) - sqrt(12)) + (-5 + sqrt(2) + 5 - (sqrt(18) + sqrt(36)\/sqrt(2))\/sqrt(9)).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let i be t(-1). Let g(k) = 3*k**2 - k + 1. Let o be g(i). Let n = -20 - -30. Solve -r = 5*f, r - o*r + n = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from xtssk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**6\/900 + a**4\/60 - a**3\/6 - 4*a. Let q(k) be the second derivative of p(k). Let q(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12740*h - 1862 = -12702*h for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 10 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/((-2)\/(-6)). Let x be 4 + (-14)\/(-12) + (-45)\/(-54). Solve -f = v - 6*v - 8, y*f + 3*v = x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(300)\/sqrt(5))\/sqrt(2))\/((sqrt(24)*1)\/sqrt(4) - (sqrt(6) - sqrt(96)*4)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Suppose 32 = 5*u - 4*m, -3*u + 4*m = 8*m. Suppose -d - u = d. Sort d, 5, n in descending order.\nAnswer: 5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 + 8*t - 4. Let a be z(-6). Suppose -5*p + a = -p. Suppose -4*r + 732 = -m + 3*m, 0 = p*m + 20. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrqrex. What is prob of picking 1 e, 1 q, and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/7, -2\/11, -0.5, -2\/3, 2\/13, 0.013, 27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3365 - 1572. Suppose 0 = -4*y + l + c, -l = -0*y + 2*y - 901. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950\/20*(-36)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y**4 + 21 - 21 + y**4 + 2*y - 1 - 2*y + (-2 + y + 2)*(-2*y**3 - 3*y + 3*y) to f*y + j*y**4 + w*y**3 + u + n*y**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 5\/3*x**3 - x + 1\/4*x**4 - 5 + x**2. Calculate z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066229717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -122705 - -7b?\nAnswer: -122657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - g - 5*n + 385, -3*g + 282 = -3*n. Suppose -12 + g = o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(-46 + 0). Let f = z + -14. What is the remainder when 25 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + (sqrt(52)*-2)**2).\nAnswer: -832 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(847)*4)**2.\nAnswer: 487872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211110021111 - 10?\nAnswer: 2211110021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 12*y**3 - 7 + (-13*y - 47*y - 5*y)*(-2*y**2 + 0*y**2 + 4*y**2) - y**3 - 3*y**3 + 2*y**3 in the form v*y**3 + d + h*y + r*y**2 and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:02 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14618537117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7304 - 3566 = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*g**4 + 9*g - 6*g + 7*g + (38*g**3 - 22*g**3 + 41*g**3)*(0*g + 3*g - 2*g).\nAnswer: 48*g**4 + 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.016 + 9.584. Let j = -10 + o. What is the nearest to j in 5, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/9))**(2\/11)*((z*z**(-1\/4)*z)\/z*z)**(4\/7))**15)**(2\/79) assuming z is positive.\nAnswer: z**(950\/2607)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4887*g + 29308. What is r(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1902 = 3*y, -9*y + 14*y + d = 3147. List the prime factors of y.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7245426, 7245400, 7245372, 7245342, 7245310?\nAnswer: 7245276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*k**2*s + 740*h**3*s**2 + 33*h**3 + 604*h**2*k*s**2 - 2*h*k**2 - 2*h*s - 4*k*s**2 + 5 wrt h.\nAnswer: 18*k**2*s + 4440*s**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3194*a + 2*i = -3199*a - 21, -5*a + 5*i = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.96 - 1.023. Let l = o + -0.937. Let f = 0.04 + -0.44. Which is the smallest value? (a) l (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - (3 - (3 - 1)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1495*o**2*r**2 + 3*o*r**2 + 10693*r**2 wrt o?\nAnswer: -2990*o*r**2 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/11 + 8*f**3\/11 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9574, -6286, -808, 6860, 16718?\nAnswer: 28766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3188996 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -360 - -362. Which is smaller: 14 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12744 and 944.\nAnswer: 25488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/(-22) + (-8)\/44. Suppose 0 = m*i + 2*i. Suppose i = 5*n - 4 - 6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 6*n + 6. Let d = -1 - 7. What is the tens digit of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -26 in descending order.\nAnswer: -3, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1652500 to the nearest 10000.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1701*g = -1682*g + 3409*g + 728 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18 and 2487242.\nAnswer: 2487224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (185 - (-5 - -61)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a**3 - 22665*a**2 - 282249*a + 474390 = 0. What is a?\nAnswer: -3765, -14, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(h - h - 12*h**3) + 4 - h**3 - 4 + (-3*h**2 + 2*h**2 + 2*h**2)*(1 + 2*h - 1) + 7*h**3 - 23*h**3 + 9*h**3.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3220799 or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7862141 and -0.113899.\nAnswer: -0.9001131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*i + 36. What is the remainder when i is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*q + 7*x - 10*x, -2*x = -3*q + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38413 is divided by 12521.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, l: 1, n: 1, a: 1}. What is prob of sequence al?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 1 = -36 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 638257 or -302?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - (7 - 100 - -32).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29160216751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = -c, -3*c - 2*l + 31 = 10. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*(sqrt(686) + sqrt(686)*2) + sqrt(686) - sqrt(686)))\/(3*(sqrt(2) + sqrt(16)\/sqrt(128))*-6).\nAnswer: 28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -100, -367, -804, -1411, -2188, -3135, -4252?\n\"Answer: -85*p**2 - 12*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -339 and 85.4.\nAnswer: -28950.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 22*q + 13. What is i(8)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*x - 2*a + 8, 745*x - 419*a = 740*x + 744 + 154 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-nine halves of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 + 32*b**2\/5 + 32*b + 256\/5.\nAnswer: 2*(b + 4)**2*(b + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7450573689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*2)\/sqrt(6))\/(2*sqrt(27)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 3*l**2 + 5*l**2 - 4*l**2 + 2*l**2 - l**2 + l**2 + (-l + 0*l - l)*(2*l - l + l) - 2 + 2 - 2*l**2 - l**2 - l + l.\nAnswer: -7*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 83687235678.5 and 0.2.\nAnswer: 83687235678.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -121*k - 962. What is the lowest common multiple of c(-8) and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 12*q - 12. What are the prime factors of (-133)\/q - 1\/4?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 0.1608 (c) 0.3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**2 - 5. Let z(f) = -5*f**2 + 3. Let n(a) = 3*b(a) + 5*z(a). Let g(y) be the second derivative of y**4\/6 + 4*y. Calculate n(g(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-16)*q*q*(q\/q**(-7))\/q)**31)**(11\/5))**(2\/3) assuming q is positive.\nAnswer: q**(-4774\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 429, 898, 1427, 2016, 2665?\n\"Answer: 30*v**2 + 379*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 2. Let x be o(5). Let b = 22 + x. Calculate the remainder when 2\/(-2) - (-45 - -1) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349669 is divided by 136?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qke when three letters picked without replacement from tkecq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14542944 and 3915408?\nAnswer: 101800608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 44. Let o be g(15). What is the greatest common divisor of 232 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 9*z**2 - 2. Calculate the remainder when d(-10) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15394.17978 - -15394. Let t = 0.18 + r. Round t to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 3 + 3 + (0 - 14 + 0)*(1 - 1 + s) + (s - 2*s + 0*s)*(1 - 4 + 1) + 4*s - s - s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8493, 8482, 8463, 8430, 8377, 8298, 8187?\n\"Answer: -a**3 + 2*a**2 - 10*a + 8502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 8. Suppose -q*b = 2*c - 6, -5*c = 4*b - 0 - 17. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(121) - (6*-2*sqrt(121) + sqrt(121)))\/(sqrt(11) + sqrt(396)*2) - (-3*(-2*sqrt(132)*-2)\/(sqrt(192)*5))**2.\nAnswer: -49\/25 + 12*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 275, 411, 547, 683?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*g**3 - 27*g**3 + 10*g**3 + 7*g**2 - 9*g**2.\nAnswer: -48*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 174 = 2*y. Let l = y - -125. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from gblngnnnbngngcn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**5 - 15888*k**4 - 15042452*k**3 - 4185839368*k**2 - 8326614912*k - 4155802112 = 0.\nAnswer: -2738, -616, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17949870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456217281?\nAnswer: 3, 13, 613, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27615335.\nAnswer: 5, 11, 487, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from {h: 3, j: 2, t: 2, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 481163 or -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*h + 14, -4*l - 30*h - 28 = -26*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10*-2 + 17\/85. Suppose -2*x - 5*j = -0*x + 32, 46 = -5*x - 4*j. Let q = -2 - x. Sort y, q, 3 in ascending order.\nAnswer: y, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -5, 26.\nAnswer: -5, 26, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186 + 109. Let k = -77 - a. Suppose -5*y = -2*c + 27 + 2, k = -3*c - 5*y - 19. Solve 0 = -5*g + c*p + 4, -3*g + 28 - 10 = 4*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/3)\/((-5)\/(-15)). Solve 0 = 4*d - h, 5*r + 2*d + 0 + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.6702453 rounded to 1 decimal place?\nAnswer: -42.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 not equal to 1423514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 11)\/(2\/254). Let u = g + -72. What are the prime factors of -2*(u\/2)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2620 and 36180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -2*u - 2*u. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**3\/6 + 8*b**2 + 20*b. Let a be y(12). What are the prime factors of -1 + -1*(-70 - a)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1671)\/9*(6 - 9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.9. Sort s, 2\/9, -2.\nAnswer: -2, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 211552\/82720 - ((-52)\/10)\/(-2)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1045)\/(-25) - (-12)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821569?\nAnswer: 73, 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -112\/1508249 or -1?\nAnswer: -112\/1508249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (17 + -203955)\/(-14) + (-5)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 4380*j + 684588.\nAnswer: 3*(j - 1282)*(j - 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 5*g - 44 + 44 - 6*g**2. Let u(s) = -23*s**2 + 18*s. Let y(d) = 15*d**2 - 12*d. Let z(i) = -5*u(i) - 8*y(i). Give -4*h(l) + 3*z(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2 = -5*f + 5, 1 = -5*f + a. Suppose f*g + 4*g = 92. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/9 - 37102*z\/9 + 344139601\/9.\nAnswer: (z - 18551)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191473 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2268 - -215. Let r = -1053 - i. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -88, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/3, 83, 0.9, -4, 1.\nAnswer: -4, -2\/3, 0.5, 0.9, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(354\/(-8)). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -28*h**3 - h**2 + 56*h + 104. Let s be g(-2). Calculate the greatest common factor of 3074 and s.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 + 2*l - 1. Let p be z(1). Let u(h) = -h. Let m(a) = a**2 + 2*a - 1. Let c(g) = g**2 - 2. Let s be c(-2). Determine p*u(q) + s*m(q).\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -123. Suppose 1168 = 43*j - w*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 66022487 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -506628809493 + 506628809826.999999347. Let r = b + -334. Round r to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = d + 15, -11*t - 29897*d - 33 = -29901*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -159, 26, 453, 1218, 2417?\n\"Answer: 16*b**3 + 25*b**2 - 2*b - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - u)*(5*u - 4*u + 7*u) - u**2 + 3*u - u + 0*u.\nAnswer: 7*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 20*f + 36. Let m be t(18). Let h = 34.79 - 34.7. Which is the nearest to m? (a) 1\/3 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11 - -3) + (-1224)\/(-48))*2\/(-10)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866.5528 rounded to 0 dps?\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/7 + (-22)\/77. Is (-2)\/2 + n + 45 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 4. Let c be y(10). Let t = -24 - c. Solve -2*a - t*a = -3*v + 14, 5*a = 2*v - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -18452*s**2 - 4*s + 2. Let j(t) = -12*t**2. Determine n(j(f)).\nAnswer: -2657088*f**4 + 48*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d = -5*o - 23, 4*d = -o - 1. What is the remainder when 5*d*(-186)\/(-6) is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17 + 12 - 10 + k. Suppose -4*n - 8*j - 52 = 0, 92*n - 90*n + 5*j = -28. Determine h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.578, -22, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 103\/1770481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let s be t(-3). Suppose 2*q + 2 = 3*h - h, -4*h + 1 = -q. Let b = q - s. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 786230 divided by -111\nAnswer: -786230\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 - 8*v - 5. Let r be n(-7). Let z = r + 0. Suppose -d + 9 = z. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 1*sqrt(171))\/sqrt(9) + sqrt(19) + -5 + sqrt(2299) + sqrt(2299) + -1 + 1*sqrt(19) + -1)**2.\nAnswer: -336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 12 (c) -0.005 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138585 by -112.\nAnswer: -138585\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 31. Suppose i = 4*d + 4, -2*v + 13 = -v - 4*d. Calculate the lowest common multiple of v and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93905 is divided by 17953.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169.85 - 170. Let f = -2 - -2.15. Let y = q - f. Which is the third smallest value? (a) 4 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 5. Let o be l(7). Let v be o\/(-14) + 875\/49. Solve 0 = -2*s - 4*d + 14, -2*s + v = -4*s + 4*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8. Let s(c) = c + 1. Let z(m) = 2*s(m) + v(m). Suppose 4*f + 9 = 5*f + 4*w, 2*f = 5*w + 5. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + (-39)\/(-9))\/(2\/78). Solve -o + 4 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 19*c + 62. Let m be s(10). What is the nearest to 0.2 in 4, m, 2\/15, 2\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.011 and -0.1733?\nAnswer: -0.0019063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-4 - -9) + -4) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16595, -1 in decreasing order.\nAnswer: 16595, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784876, 784188, 783500, 782812, 782124, 781436?\nAnswer: 780748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (116946\/1971)\/((-1)\/(-420)).\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18959 times -693\nAnswer: 13138587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 24. Let g be m(-13). Suppose g*w + 3*w - 320 = 0. Let x = -62 + w. Solve x*d = 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -4, 1, 15, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2\/5 (c) 25.21 (d) -0.4 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -9017*r**4\/12 - 37*r**3\/6 - 117*r**2\/2 + 26*r - 1. Find the second derivative of u(c) wrt c.\nAnswer: -18034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 - 3*z**2 - 319*z + 937. Determine o(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + 0 + -1.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-1 - 20) + -25\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 - 145. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 - (-34)\/8. Suppose 3*n = -n + 40. Suppose -n = r + z*s + 4, 2*s = 2*r - 22. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -m - 7*d + 14, -4*d + 20 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (62 - 77) + -2 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, -17, -7240?\nAnswer: -7240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.97 - 51. Let r = -15 - -15.47. Let n = r - a. Sort -0.3, -4, n in ascending order.\nAnswer: -4, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:25 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1))\/((-8)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44851061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -122 + 123 + p - 2*p. Let n(y) = -5 - 1 + 0 + 3. Give -n(u) - t(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1489 - 1393. Calculate the highest common divisor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 443, -0.1901, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 5:39 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + a**2 + a**2 + 6*a**2 + (-2*a + a + 4*a)*(6 - 4 - 3)*(23 - 23 - 185*a).\nAnswer: 563*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.1170821\nAnswer: -0.004683284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(931)*2)**2*-6 + -3)*-5.\nAnswer: 111735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 13*z + 6. Suppose 0 = -4*h - 16, -2 = -4*w - 3*h + 34. Calculate the remainder when 34 is divided by l(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/25 (b) -2 (c) -4 (d) -4.57 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**0\/r*r)\/((r**(5\/3)*r)\/r))**(1\/70))**10 assuming r is positive.\nAnswer: r**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1195221018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 0.13.\nAnswer: -2.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 0.3, -0.4, -62\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10634.43 to the nearest 10.\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9940 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18454 divided by 5?\nAnswer: 18454\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16685789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(4 + sqrt(1100) + 0 + -5 - -5*(2 + 1 + sqrt(1100) + sqrt(1100))))**2 + -2).\nAnswer: -2399324 - 55440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4263625 divided by -852725\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-98))\/((-2)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -25*b - 70. What is z(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300.09 + -300. Which is the closest to 0? (a) -3\/7 (b) 21 (c) 0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1820, 3272, 4716, 6152?\nAnswer: 7580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -181790 divided by 1046?\nAnswer: -90895\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307572871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6090 + 11554. Let r be (-2)\/(-9) - g\/(-36). Suppose -5*t = -273 - r. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:48 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -339 + 589. Let v = 255.1 - p. What is the second biggest value in 3, v, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25485 is divided by 12735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9917463 from -0.1259819.\nAnswer: 0.8657644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 567 by 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 1 - 4 + 6*a to the form i*a + k and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3de (base 15) to base 3.\nAnswer: 1012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*r**4 - 3507*r**3 - 35462 wrt r.\nAnswer: 16*r**3 - 10521*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**2 + 6*v + 3. Let w(n) = -7*n**2 + 7*n + 4. Let r(d) = 5*f(d) - 4*w(d). Suppose -y = -4*y - 12. Let p = 6 + y. What is r(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -15. Let h be (3\/m)\/((-1)\/6). Which is the closest to -2\/11? (a) 0.2 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14228801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**(1\/11)*((x**(-2\/21)*x)\/x)\/x**(1\/6) assuming x is positive.\nAnswer: x**(131\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnnwnnwww. Give prob of picking 2 w.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m - 4. Let g be (-17)\/42 - 2\/12. What is the closest to -1\/2 in -1, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = z - 2*d, -102*d + 99*d + 18 = 0. Are 12\/127 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1\/12 (c) -26 (d) -0.103 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, v: 2}. Give prob of picking 1 v and 3 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*d + 15, -4*m - 5*d - 34 = 1. Let c be m*(-1 - (-5)\/10). Solve -5*j - 30 = -4*s, 1 + 4 = -s - c*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/3 - 2\/6. Let n = -1 - -7. Let m = 4 - n. Which is the biggest value? (a) f (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14)**49 assuming c is positive.\nAnswer: c**686","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 23.2?\nAnswer: -23.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9829569 tonnes to micrograms.\nAnswer: 982956900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 1, u: 2, d: 1, b: 2}. Give prob of sequence uruw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 4*m = 16, 4*w = m + 1. Let p be (2 + w)\/(-4) + (-6517)\/(-588). Which is smaller: 12 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*(13\/(-5))\/13.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199097 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-4)\/(-60)*3*0. What is the nearest to 0.3 in 2, -3\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 32 - 504*u**2)*(u - 3*u + 0*u)*(-2 + u + 2) in the form j*u**3 + i*u + t + l*u**2 + f*u**4 and give f.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - z - 3, z - 6 = -4*r + 1. Suppose r*p - 3*p = 0, 0 = -2*u - 5*p. Factor -1\/4*w**2 + 0*w + 1\/4*w**4 + 0 + u*w**3.\nAnswer: w**2*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1106, 0.11, -11\/10, -0.2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = b - 4*t, 2*t = -b - t - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 3*o + o. Let c be (2\/6)\/(1\/9). Let z(v) = 2*v**2 + 3. Let u(w) = -4*w**2 - 5. Let y(d) = c*u(d) + 5*z(d). Calculate y(j(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5643 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2698)\/(-1846))\/(2\/(-26)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 16*l**3 + 1407*l**2 + 31*l - 50. Let x(z) = -7*z**3 - 705*z**2 - 16*z + 24. Let j(i) = -3*v(i) - 7*x(i). Find the second derivative of j(q) wrt q.\nAnswer: 6*q + 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1624.2 + 1624. Suppose 3*s + 17 = 2*z - 2, -21 = 2*s - 3*z. Which is the second smallest value? (a) p (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -8 + 15 + -15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 210*t + 4949. Give z(-22).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziziuziiiui. What is prob of picking 1 z and 2 i?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.1, -1\/13, 5, 0.1 in ascending order.\nAnswer: -0.5, -0.1, -1\/13, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 61. Solve 4 = z*c + 4*p, -5*p + 6 = c - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o**3 + 561*o**2 + 6. Let d be t(51). Suppose -10 = 2*z, 15 = 4*v - 4*z - 25. Suppose -v*m - d*m = -451. Which is bigger: 43 or m?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 22. Let g = v - 17. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1305 + -1318. Let y be 2\/(-7) - 66\/14. Let c = -1 - y. Sort -3, c, i in ascending order.\nAnswer: i, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*r**3 + 9\/4*r**4 + 3\/2 + 3\/4*r - 15\/4*r**2 = 0. Calculate r.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.015 - -18.035. Let u = 0.04479 - 17.04479. Let z = u + h. Round z to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2 + 3*m**2 + 6*m**2. Let s(a) = 6*a. Determine j(s(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (11 - (5 - -14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 32*t**2 - 2*t + 2. Let y(s) = 525*s**2 - 35*s + 35. Give 175*v(i) - 10*y(i).\nAnswer: 350*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 + 488. Let i = f - 226. Solve -i*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -62860 and -5143612338.\nAnswer: -5143675198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 33, 64, 105?\n\"Answer: 5*x**2 + 6*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = p - 9, 679*p + 5 = 2*d + 680*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 411959021 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 x(k) = -k**3 - 12*k**2 - k - 14. Let s be x(-12). Is (-15)\/20*1384\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 58645837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/243*(-9)\/(-26).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2\/49, 173 in decreasing order.\nAnswer: 173, 5, 3, 2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -9. Suppose 7 + 13 = 4*p + k, -p + b*k = -5. Suppose -p*q + 0*q = -25. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399913.91 - 399914. Suppose 0 = 3*k - 2 - 10, -2*v + 14 = 3*k. Which is the third smallest value? (a) 3\/7 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2)\/(-1)*(-10)\/4. Solve -3*u - 5*k - 3 = 0, -3*k - 2*k = 5*u + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -22*p - 1 - 26*p + 63*p - 21*p. What is the tens digit of i(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**2 + 14*f**5 + 0*f**2 - 25*f**5 + 2*f**5 + 0*f**5 - f**5 + (4*f - 5*f + 3*f)*(-3*f**4 - f**4 + 2*f**4).\nAnswer: -14*f**5 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422\/142 - ((-26)\/(234\/(-225)) + -15)?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 113 = -u + 3*u, 3*t = -u + 115. Let m be (t\/6 - -1) + (-7)\/14. Calculate the greatest common divisor of m and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 1204?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 10 + -1 + 221 + -196 + -7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.2, -3, -1.17, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(14\/21*(-10)\/(-20)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -17 (b) 9106 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*f = -23*f + 959 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*n - 7*n - 68, -76 = 4*n + 3*v. Let t(k) = -4*k - 65. Let w be t(n). Is (178 - (-3 - w)) + 5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 307 - 3205 - 3678. Sort -4, -5, q in decreasing order.\nAnswer: -4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/12 - 13*x**3\/6 + 21*x**2. What is h(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g + 333. Let l be i(39). Let q(o) = -2*o + 1. Let b be q(-5). What is the greatest common divisor of l and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.7 + -25. Let g = 12481553.6999895 + -12481557. Let u = g - n. What is u rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000064315 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 226560827 to the power of 1\/2, to the nearest integer?\nAnswer: 15052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3680, -8314, -13892, -20414, -27880, -36290?\n\"Answer: -472*t**2 - 3218*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -125*t + 27. Let q(u) = 83*u - 17. Determine 5*f(a) + 8*q(a).\nAnswer: 39*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*s - 13 = -3, 3*f + 2*s - 17 = 0. Let q = f + 0. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242459.73ms to minutes.\nAnswer: 4.0409955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + 20. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1 - 5) - (-28 - (-10 + 12 + -14))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005081 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 22 = 50*t + 3*z, 5*z - 22 = -8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 105644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 714\/11 in -7, 0.2, -3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3810 - -168. Is 153 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297181 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n**2. Let q(d) = d**2 - 11*d. What is q(s(r))?\nAnswer: 196*r**4 - 154*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28360964 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0, -1, 579, 1 in ascending order.\nAnswer: -2, -1, 0, 1, 5, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 499657\/285 + -8766\/5. What is the common denominator of c and 16\/1121?\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5570268 by -12.\nAnswer: -464189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238627 is divided by 157?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 234\/(-65))*-5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 66. Suppose i = 5*x - 534, 3*x + 0*x = p*i + 2153. Let l = -307 - i. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 16*f - 76. Suppose 165 = 8*b - f. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 2:10 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -42 (c) 8\/35 (d) 2 (e) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjph when four letters picked without replacement from {v: 4, j: 1, p: 4, h: 2, n: 6}?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, -0.1, -136\/21, -38, -34?\nAnswer: -136\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 3:50 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129367774667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 681*k + 2040. Let p be j(-3). Sort p, 4, 0, -4, 7 in increasing order.\nAnswer: -4, p, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 3. Let r be b(4). Let l be 4\/40*(-4)\/6. Let s = 4\/15 - l. Do r and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-7) + 2025\/(-35). Put 0, -1, a in increasing order.\nAnswer: a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 99, 395, 1173, 2673, 5135, 8799, 13905?\n\"Answer: 40*o**3 + o**2 + 13*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6081*s - 325 = -6106*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 11*y**2 + 1\/120*y**6 + 0 + 0*y + 0*y**5 + 0*y**4 + 0*y**3. Let o(s) = 5*s**3 - 2*s**2 - 2*s. Calculate 2*j(u) - o(u).\nAnswer: -3*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/50, -3, 3, 1.\nAnswer: -3, -3\/50, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a + 80. Let s be y(-13). Let r be ((-12)\/(-6) - -1) + (-6)\/s. Suppose r + 3\/2*p + 3\/4*p**2 - 3\/4*p**3 = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7113 (base 13) in base 2?\nAnswer: 11110011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4337 not equal to -4339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 12721*r + 12723*r = 24, -t + 2*r - 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 + 31110*w**2 - 48422700*w + 96721000 = 0.\nAnswer: 2, 3110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 5)*(-6 + 2 - 3) + 2 - 1 + 1)*(-3 + 2*i + 3).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffayyywyyffya. What is prob of sequence fwy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d + 122. Let t be k(21). Which is the closest to -0.03? (a) 4 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2617 + 2617.29. Let o = 563.29 - 551. Let k = o - f. Which is the biggest value? (a) k (b) -0.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3873*h. Let i(b) = 1066312 + 4*b - 1066312 - 2*b. Give p(i(y)).\nAnswer: 7746*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11063 - 10581 = 241*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p + 13. Let i(v) be the third derivative of -v**4\/12 - v**3 - 6*v**2 - v. Let j(l) = 7*i(l) + 3*q(l). Let n = -1 + 4. Give j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 86*j**2 + 93*j - 532. What is f(87)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 84\/(-15)*(-15)\/6. Suppose -5*h - 4 + v = 0. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5214 = -0*u - 4*u + 2*z, u = -z - 1299. What is u rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0796 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (345 - 172 - 174 + 10*y)*(-3*y + 3*y - 2*y**2)*(0 + 0 + y).\nAnswer: -20*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3130*o + 3661*o = 2439*o + 417792 for o.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.2, -1\/4, -5, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -4333?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + -2. Let q = 65.0007 + v. Round q to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s - 10. Determine x(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 0*p - 8 + 4*p + p. Let t(x) = -2*x + 3. Let n(z) = -3*k(z) - 8*t(z). Let s(a) = -2*a. Give n(s(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 + 223. Solve -4*o - 15 = v - 4*v, -2*o = -4*v + k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 divided by 37.\nAnswer: -262\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -33*o**2 + 5. Let x(l) = 66*l**2 - 11. Give -11*j(r) - 5*x(r).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.11+1504867387353\nAnswer: 1504867387353.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 442397351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1095)\/(-690))\/73*6?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 8*h**2 - 2*h + 9. Let f be l(8). Let g be 2\/(-7) - 114\/f. Let p = g + -5. Calculate the greatest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1592356)\/340)\/((-4)\/20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/2 - 6735*d**2 - 67325*d\/2 = 0.\nAnswer: -13465, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18119a09 + -4?\nAnswer: 18119a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1006 + -4?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35240.2 meters to centimeters.\nAnswer: 3524020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8819633\/162 - 54442. What is the common denominator of 17\/81 and j?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -31*p**2 - 14*p. Let b be k(-2). Let h = b - -100. Solve h*j = -7*j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(5\/3) assuming t is positive.\nAnswer: t**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {w: 3, h: 10, o: 1, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 - 8 = -2*h, 2*h - 3*l = 20. Let n = 21 - h. Solve -3*a = -u - 4*a, -n*u - 3*a - 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/2 - 93*q + 1917\/2 = 0.\nAnswer: -71, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24484*o + 278232.\nAnswer: 24484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -12*x. Let c(p) = -292732*p. Calculate q(c(u)).\nAnswer: 3512784*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbl when three letters picked without replacement from pflflbl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 + 26*r + 3. Determine l(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -13.95. Let n = c + -0.35. What is the closest to n in 0.4, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opb when three letters picked without replacement from {o: 1, b: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 10*o**2 + 8*o + 27. Calculate f(-8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -702*y**2 - 7325*y**2 + 3323*y**2 + (y + 3 - 3)*(y + 4*y - 3*y) in the form m*y + g*y**2 + c and give g.\nAnswer: -4702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 5*d**2 + 5*d + 5. Let t(h) be the second derivative of -1\/10*h**5 + 5*h + 0 - 2*h**2 - 1\/3*h**4 - 2\/3*h**3. Determine -4*s(y) - 5*t(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 2 (c) 0.04 (d) -1 (e) 9 (f) -8 (g) -1705\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15044948 times -0.04\nAnswer: -601797.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.93 + -69.93. Which is the closest to -1? (a) 0.5 (b) -0.13 (c) 3\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322824 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -20 - 12*r - 21\/2*r**2. What is the first derivative of n(p) wrt p?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -36. Let z be ((-30)\/(-80))\/(s\/56). Suppose 4*g - 2*d - 18 = 0, 0*g + 2*g + 11 = -3*d. Is z > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6*z = 72, -3*w - 87*z + 171*z - 12 = 83*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 23920*i + 334810. What is v(-14)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 106668432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 654*-1 + -8 + -5 + 10. Let f = u - -665. What is the remainder when 114 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/(-3)*6\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 0.2 (c) 48 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -3. Let n = 169 + -24. Let v(t) = 2*t**3 + 134 + 0*t**3 - 7*t - n - t**3 - 7*t**2. What is v(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-456)\/171)\/(((-100)\/(-156))\/(-25))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/3 - 19648*d**2\/3 + 21385400*d - 23201940000 = 0.\nAnswer: 2924, 3450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 1553, 3277, 5469, 8009, 10777?\nAnswer: 13653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - 90. Let t = -1067\/6 + 497\/3. Calculate the common denominator of 343\/l - 4\/22 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = a, 4*g = 14 - 2. Suppose -a*k = -3*k. Suppose 2*s + 9 - 65 = k. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198868 + 211208 = 108*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 403576\/140056 + 7\/(-287).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 63\/4 (b) 1\/2 (c) -4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -2 (b) -2\/55 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**5\/390 + 61*y**4\/156 + 183*y**2 - y. Suppose n(l) = 0. Calculate l.\nAnswer: 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkkxkkxwxk. What is prob of picking 3 k?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.169677 grams to kilograms.\nAnswer: 0.000169677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -303985*j**3 + 3*j**2 + 255*j - 18?\nAnswer: -1823910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**6)\/(v\/((v\/(v*v*v**(-7)\/v))\/v)))\/((v*v**(-3))\/v**(-4)) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6852 + -6844. Which is the third biggest value? (a) 4\/17 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1655 - -509. Which is smaller: -1145 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 10. Let k = 9 + c. Suppose 4*s = -2*h + 164, 3*h + k = 2*s - 55. Calculate the remainder when 154 is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -5\/3, -0.04, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 408. Is t a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.719, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*(-1792)\/2912?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 - 37 + 25)*(-5*a + 0*a + 3*a).\nAnswer: 206*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10968432?\nAnswer: 2, 3, 228509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 6. Let j(h) = -5*h**2 - 7. Let a(q) = -5*j(q) + 6*z(q). Let v(n) be the first derivative of a(n). What is v(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -0.3. Let y(m) be the first derivative of m**4\/4 + 4*m**3\/3 + 3*m + 2. Let d be y(-4). Which is the nearest to 1\/3? (a) -0.3 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -2, 4, 0, 3, 5, -47 in decreasing order.\nAnswer: 77, 5, 4, 3, 0, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4, s: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*d + 27888, 2*d + 2*r + 7531 = -11077. Round d to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139355672 to the power of 1\/2, to the nearest integer?\nAnswer: 11805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2410 (base 8) to base 11.\nAnswer: -a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0471*0.6.\nAnswer: 0.02826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**3 + 3*i**2 - 19*i**3 - 3*i**2 + 0*i**3 + 17*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-119*16\/(-112). Calculate the greatest common factor of 340 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5407*z = 5391*z + 48 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*q = -2*d + 13, 0 = 4*d - q - 5. Suppose -3*p = -d*p + 3*x + 5, 2*x = -3*p - 1. Let n be (25\/(-5))\/(-1*1). Solve -n - p = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(1088) - sqrt(1088)) - 6*(sqrt(1088) - (-1 + sqrt(1088))) - ((sqrt(1088) - sqrt(1088)*2) + 1 - ((sqrt(1088) - (sqrt(1088) + 0)) + 0)))**2.\nAnswer: -240*sqrt(17) + 1313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-32 - (-60 + 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(11\/(231\/12))*4?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 at least -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 17*c**2 + 38*c - 617. Calculate s(17).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18164, 18095, 18026, 17957, 17888, 17819?\nAnswer: 17750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -21*g + 4123. Calculate the greatest common divisor of g and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*n + 719*n - 69*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1152 + 38026\/33. Let m = 4\/11 + n. Let d = -0.3 + 0.1. What is the nearest to 1 in m, d, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205508175?\nAnswer: 3, 5, 37, 103, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-105)\/(-3) - 1)*7 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c4 - -12195?\nAnswer: 12489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and -7870.\nAnswer: -7880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/9 + 142*b\/9 - 260\/3 = 0.\nAnswer: 6, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 37 = 13*f. Let y be 2\/(f\/(-24)*-3). Solve -n = -5*g + y*n - 25, 3*n = -5*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qtqtttqqcjqqqqtqqqqq?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 1\/12*r**4 + 141*r + 0*r**3 + 0 + 0*r**2. Let b(f) = 7*f - 3. Determine a(b(j)).\nAnswer: 49*j**2 - 42*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026077828 to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:01 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570 and 342.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Solve 5*i - 27 = -b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 - (-12 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20*(-60)\/(-80)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1218 + 7307\/6. Which is the closest to -1? (a) 4 (b) 0.07 (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -269 + 8*y**3 - 235 - 3*y**3 + 113 + 66 as b + u*y**2 + m*y + x*y**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-447)\/3129*343\/(-2))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 7 - 11. What are the prime factors of (-1 + z)*(-6)\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -263, -197, -131?\n\"Answer: 66*b - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22887 is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**(-24) assuming l is positive.\nAnswer: l**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 11*o - 24 to y + l*o and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 592612.7 millilitres?\nAnswer: 592.6127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 4*f + 7*f - 8*f + 2*f**2 - 4. Let k be u(-3). Suppose k*b - 15 = 1. Solve 0*o = 2*o + b, -4*a + 5*o + 16 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 44 = -3*g + 3*o, -2*g = 5*o - 4. Let l = g + 9. Let c(a) = 2*a - a + 3*a - l. Give c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11046464*h**3 - 2695779*h**2.\nAnswer: 66278784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose 20 = z + k*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/264024 and -131\/1352544?\nAnswer: 77095008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nguuusggsus. What is prob of sequence gn?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 25 + 89. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47c538 + -6?\nAnswer: -47c541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/11)*w)**(5\/16)*(w*w*w**(-16)*w)\/(w**(3\/7)*w) assuming w is positive.\nAnswer: w**(-17601\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576 - 566 + 429*u + 2287 - 570 - 575.\nAnswer: 429*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 10336573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 104 - (11 - 7). Let g = d + -57. Let n = g - -265. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174760 divided by 85?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*z**4 + 0*z**2 - 62*z - 2*z**2 + 60*z to s*z**4 + r*z**2 + b*z**3 + v + i*z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -0.1 (c) 2\/19 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 - 213*m\/2 + 15123\/4.\nAnswer: 3*(m - 71)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 25. Let y(a) = 8*a - 2. Give y(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079295771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 634837, 633692, 632547, 631402, 630257?\n\"Answer: -1145*a + 635982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 0*j - 2*j**3 + 65 - 6*j**2 - 64 as h*j**2 + l*j**3 + r*j + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35388 + 35388. Solve t = 4*j - 11*w + 8*w + 20, -3*j + 2 = 2*w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-15))\/((-1)\/27) - (-726)\/(-1815). Solve -5*u = -5*q + 40, v*q - u - 4 = 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 154, 179, 188, 175, 134, 59, -56?\n\"Answer: -r**3 + r**2 + 39*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2360 and 3540?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-400))\/((9\/(-25))\/((-2)\/(-15))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 27673.\nAnswer: -16\/27673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(50)*1 + 1 + (sqrt(350) - (1*sqrt(350) - sqrt(350)))\/sqrt(7)))**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10782 - 15659 - 14263 - 1947 = -2031*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/225 + (-5757)\/(-8550)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3842 - 3796.26. Let z = -45 + j. What is z rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9611798 divided by -22147\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 10 - 6 - 3*m**3 as g + p*m**3 + z*m + d*m**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -634591?\nAnswer: -634592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 + 4*z**2 + 14*z + 4. Let h(t) = 4*t**3 + 4*t**2 + 13*t + 4. Let y(x) = -6*h(x) + 5*m(x). What is the units digit of y(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 - 65*v - 23. Let n(z) = -3*z**2 + 32*z + 10. Give 5*n(a) + 2*o(a).\nAnswer: a**2 + 30*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a. Let m(t) = -22*t. Determine u(m(n)).\nAnswer: 88*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471352 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 7\/(35\/(-16)). Let d(k) be the first derivative of y*k**5 + 0*k - k**2 - 2 + 0*k**4 + 0*k**3. What is the second derivative of d(r) wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*g - 2644*g**2 + 1678*g + 2157*g**2 - 3*g**5 wrt g?\nAnswer: -60*g**3 - 974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) 3 (c) -5 (d) -0.063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 t when four letters picked without replacement from tnththhtt.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 3*d**2)*(0 + 8 - 4)*(3 + 4 + 2 - 3 - 4 + 5 + (0 - 2 + 3)*(1 + 5 - 5) - 1 - 1 + 3 + 4 - 6 + 1 - 2 + 1 + 2 - 4 + 2 + 1).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32199 + 68742. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6037*r - 2807*r + 4273*r + 1962*r + 482715 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1 (b) -16 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - x - x = 9, -2*g + 2*x = -12. Let h be 10\/4*(-8)\/10. What are the prime factors of 3*-1*h\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2547*b + 7692. Give y(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5823 + -5823.048. What is the nearest to b in 2\/7, 0.19, 0.3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s**2. Let m(o) = -63099993*o. Calculate m(c(x)).\nAnswer: -630999930*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(320) + (sqrt(320)*1 + 0 - sqrt(320)) - (4 + (-1 + sqrt(320) - sqrt(320)))*-2)**2.\nAnswer: -1152*sqrt(5) + 46116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/28*7)\/(14\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*n + 110*n = -108*n + 2992 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2\/77 - (312\/(-12) - -29)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5053.164 litres in millilitres?\nAnswer: 5053164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (126\/(-5))\/(-3) + (-10)\/25. Solve 0 = -6*j + 2*j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 737 - 6*w - 2*w + 736 - w in the form z*w + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = -11, 2*j + 5*y + 11 = 0. Suppose j*b + 1119107 = -2080893. Round b to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18864, 4917 in descending order.\nAnswer: 4917, -4, -18864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 13 = -j. Let l be 3\/(-4) - 15\/j. Solve -m - l = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*k**2 + 7*k + 76*k**3 + 3*k**2 + 0*k**2 - 36*k**3 wrt k.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/98 and (472\/(-32) - -4)\/((-6 - -14)\/(-4))?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 8, p: 9, v: 1}. What is prob of sequence pupx?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2700751 litres?\nAnswer: 270.0751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31222 and 20.24.\nAnswer: 31242.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**7\/840 + j**5\/30 + j**3 - 5*j. Let t(m) be the second derivative of o(m). Find the second derivative of t(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 10 + 1)*(4*c - 3 - 3*c - 2*c) to the form j*c + d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (96\/(-46) - -2) + (-19052454)\/(-943). What is the third derivative of a - v*a**2 + 20100*a**2 - 2*a**4 - a + 111*a**3 wrt a?\nAnswer: -48*a + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 35 (c) 89 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*i - 5*d - 2, -4*i - 4 = -4*d. List the prime factors of ((-6)\/(-3))\/(i\/((-227)\/2)).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 4*u - 3. Let j = -6 - -8. Suppose 0 = j*r - 4*r - 2. Let x(y) = -1. Let d(b) = r*x(b) - s(b). Factor d(m).\nAnswer: (m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/2 + (-116)\/870?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -8. Suppose -515 = -i*n + 5*n. Does 32 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 414*z + 9778. Give l(-181).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/9 + 34084816*p\/9 + 145221835219232\/9 = 0?\nAnswer: -8521204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r + r)*(43*r + 42*r + 2 - 83*r - 3*r**2).\nAnswer: 9*r**3 - 6*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1851 - -1848. Which is the biggest value? (a) -100\/7 (b) 8 (c) n (d) -4\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7662 + -2390. Suppose -4*n + r = i - 5*i, 2*n - 2633 = 5*i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.116100833 - -0.4.\nAnswer: 2.516100833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 51 + -13 + -21.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**(23\/4)*t**4\/t**(-22) assuming t is positive.\nAnswer: t**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 2*v**3 + (2*v**2 - v**2 - 2*v**2)*(2*v + 2*v - 3*v) + 0*v + 0*v - v**3)*(1 - 2 - 2)*(v + 2*v**2 - v).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 8, z: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -12. Let w(k) = -2*k**2 + 16*k + 5. What is the remainder when r is divided by w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 12*b + 184 = 0. Which is bigger: b or 95\/12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 - 4*z + 4. Let b be f(-4). Let r = b + -2. Suppose -r*c = -2*s + c + 10, 2*c = -4. Solve -s*x = -7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2370969924?\nAnswer: 2, 3, 197580827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 28\/3597 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 + -115. Suppose l - 5*j - 9802 = -556, 5*l - 46115 = u*j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 14*l - 10. Let b be d(-8). Find the first derivative of -11*z - 16 + b - 3*z - 23*z wrt z.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euuddwuwneqddudeddee. Give prob of sequence nd.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 + 11. Let b be x(-7). Find the common denominator of 14385\/1980 - 2\/b and -79\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 4030.\nAnswer: 28210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*n - 64, 680*n = 4*f + 700*n - 136 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10989\/2 - 5494. What is the nearest to -1 in p, -4, 16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = v + 57, 3*y + 0*v - 3*v = -99. Suppose 1 - 57 = -f. Let h = y + f. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4117 + 470. Let f = -252314\/55 + l. Find the common denominator of 63\/2 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -57*k**2 + 566*k - 21. Calculate c(10).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 6*a - 7*a + (1 + 1 - 3)*(0*a - 3*a + 4*a) + (7*a - 4*a + a)*(0 + 4 - 2).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 2*t**4 + 3*t**4 + t**2 - 2*t**4 in the form m*t**2 + p*t + x + o*t**3 + v*t**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*z**2 + 3*z**2 - 14*z**6 + 16*z**6 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267874082*t**2 - 8169690*t wrt t.\nAnswer: -535748164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 781021737 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1746 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377026 is divided by 687717?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 5, -2\/7, 3766, 125?\nAnswer: 3766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let q(f) = -f**3 + 1. Let a(j) = -4*j**3 - 5. Let t(o) = k*a(o) - 2*q(o). Find the first derivative of t(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35977, -72039, -108183, -144409, -180717, -217107, -253579?\nAnswer: -290133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**4 - 2*z**3 - 2*z**2 - 1. Let m(k) = 6*k**3 - 60*k**2 + 1. Let f(g) = 2*m(g) + 2*w(g). Find the third derivative of f(l) wrt l.\nAnswer: 48*l + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyyylpyyyyyyiprfyy. Give prob of sequence yp.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/4)\/(1\/(-4)). Let c(n) = 10*n**4 - 11. Let q(d) = -5*d**4 + 5. Let h(p) = t*q(p) - 6*c(p). Differentiate h(i) with respect to i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13669, 54707, 123103, 218857, 341969, 492439?\n\"Answer: 13679*h**2 + h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 286 = -5*b - 10*t, -3*b - 3*t - 186 = 0. Let s = 78 + b. Calculate the greatest common factor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2) - 165\/30. What are the prime factors of 3 + -2 - (o + -150)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18524179 is divided by 2402.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 139, 142, 145, 148?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x - x + 6*x - x to the form c + z*x and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 343451.1 meters in kilometers?\nAnswer: 343.4511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29032 and 3.2.\nAnswer: 92902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 4 + 2*x + 8*x**2 - x**3 + 5*x. Let t = 332 + -339. What is w(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3407 = 132*o + 9100 - 16863 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30774 and 966.\nAnswer: 215418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b)\/((b**(-1)*b)\/b)*b**(3\/4)\/(b**(-3)*b) assuming b is positive.\nAnswer: b**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*o - 673*o = -25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14 + 2\/7*n**2 + 4*n.\nAnswer: 2*(n + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18*17\/((-986)\/(-29))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1561*c**2*d - 16*c**2 - 45643*c*g + 401*d*g wrt d.\nAnswer: 1561*c**2 + 401*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 6. Let o(h) = h**3 + 4*h**2 - 20*h - 71. Let q be o(-5). What is z(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 47 = -8*w, -116*w - 4*z = -120*w + 32 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 1, a: 1, l: 1, h: 1}. Give prob of sequence la.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31655 + -31664 - (1 + -2 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-350)\/(-110) - 6\/33. Let a(x) = -10*x**2 - 3. Let p(b) = 189*b**2 + 56. Give t*p(k) + 56*a(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 34. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5583098541.\nAnswer: 3, 6863, 271169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 12) to base 8\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12290*q - 4818 = 12363*q for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -102. Let c = 3 - -5. What is the least common multiple of c and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12394 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 4*f**2 + 2*f + 3. What is the remainder when (3 + -2)*20\/1 is divided by l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*p - 3*p - 709 = 0, -2*p = 3*i - 1057. Suppose 4*a + 358 = 3*d, -i = -2*d + 5*a - 112. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from ztjzzjtyzy.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/52*(1053\/(-18))\/(-9))\/(-9)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93283, 93400, 93475, 93502, 93475, 93388, 93235?\nAnswer: 93010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26929 and 3312267?\nAnswer: 3312267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 32*i + 99. Give k(40).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*a + 4 + 60*a + 4 - 11 to i + z*a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1457*a + 66 with respect to a.\nAnswer: 1457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.72289 milligrams?\nAnswer: 0.00000872289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + 3 + (5 - 2) - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44422.\nAnswer: 2, 7, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7723108 and 1095.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbplftbl. What is prob of picking 1 t and 2 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -17. Are -1\/3 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from bbzbbzz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyeqveleeqheyqevve. Give prob of picking 1 q and 1 e.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 4. Let g = 12 + -5. Let w(p) = -4*p**2 + g + 4 - 4*p**2. Determine 11*q(h) - 4*w(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002980597001 rounded to seven dps?\nAnswer: 0.0002981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 - -1.5. Let g = -0.9 + m. Which is the closest to 1\/2? (a) g (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.6814409, 2, -47, 1\/2, -3 in descending order.\nAnswer: 2, 0.6814409, 1\/2, -1, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3520*b**2*i*u**2 + 6*b**2*i + 3*b**2*u + b**2 - b*i*u**2 + 93*b*i*u - 3*b*i - b*u - 4*b + 2*i*u**2 wrt b.\nAnswer: -7040*i*u**2 + 12*i + 6*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335539 is divided by 387.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Let r = h - -2. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -72. Let h be (-895)\/(-15) + c\/(-3). Let b = -19.2 - -19.7. Sort -3, b, h in decreasing order.\nAnswer: h, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/18 + -1)\/(-14*34\/7140)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 176. Suppose -26 = -2*l + 3*a, v*a + 40 = 3*l - a. Calculate the remainder when 173 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t - 10*t. Let c(s) = -s**2 + s + 5. Let i be c(0). Put t, i, 4 in decreasing order.\nAnswer: i, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92, 167, 218, 239, 224?\n\"Answer: -m**3 - 6*m**2 + 100*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 42\/160 - -1. Let j = -1\/16 - a. Let x = 2 + -7. Sort 3, j, x.\nAnswer: x, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggx when three letters picked without replacement from {g: 6, q: 4, x: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(t**3 - t**3 - t**5) - t**5 + 2*t**3 - 2*t**3 + 5*t - 3*t**5 - 5*t + (2*t**3 + 0*t**3 + 0*t**3)*(-t**2 + 2*t**2 + t**2).\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6595.3452 - 11933534.\nAnswer: -11940129.3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5218*c**4 - 3190*c**2 + 25082824.\nAnswer: 20872*c**3 - 6380*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 196724801 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 30, 25, 18, 9, -2, -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8818*v**2\/3 + 546*v.\nAnswer: -2*v*(4409*v - 819)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359445 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6120 = -25*m - 193*m - 8268 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 324*b - 1. Let a(d) = -8*d**2 + 17*d**2 - 10*d**2. Calculate a(q(v)).\nAnswer: -104976*v**2 + 648*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-2)\/(-4) + 15. Let s be (15\/(-2))\/((-9)\/b). Suppose 2*h - 38 = -s. Calculate the remainder when 22 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l**2 - 4. Let z(y) = -10*y**2 - 3. Calculate 2*u(j) - 3*z(j).\nAnswer: 8*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 876*h**2 - 7809*h + 5200. What is u(867)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 11) to base 6\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 2, u: 7, i: 1}. What is prob of sequence uiu?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -24*x**2 - x + 164. What is r(-4)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010 = 3*a - 2812. Suppose 4*n - a = 230. Let i = n + -83. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/1380)\/((-12)\/(-459)) and -47\/90?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 2\/11, -847?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -901?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/39960 and 161\/540.\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4949667 is divided by 247483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4*28\/(-20)*30\/(-105). Sort a, -4, 17.\nAnswer: -4, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.47 + 19.47. Let h = 18.999788 - w. What is h rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*w - 2*w**2 - 71*w + 3 - 7.\nAnswer: -2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/13)*(((((c*c**(-12)\/c)\/c)\/c)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-220\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7983.88 to the nearest 10.\nAnswer: -7980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204235116971830 - -204235274052578.000001. Let b = t - 157080815. Let w = b - -67. Round w to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15*1)\/((-256)\/(-36) - 7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15218 + 15273. Calculate the remainder when 1041 is divided by w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/9 - 7*t**2\/3 - 49*t\/3 - 343\/9 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a - 68. Let h be w(5). Suppose h*j = 19*j - 14. Solve j + 0 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:55 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*p = 2815, -4*t - 3*p + 2750 = 525. Round t to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1986 + -2706. Let u = -113 + 13. Calculate the smallest common multiple of 44 and 20\/6*t\/u.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = q - 4, -244*q - v = -240*q + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 41*k**3\/3 - 124*k**2\/3 + k = 0.\nAnswer: 0, 1\/41, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88616993 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/6531 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 89 = 19 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 5*b**4\/8 + b**3\/3 - b**2. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/33, 2\/7, -4311 in descending order.\nAnswer: 2\/7, -2\/33, -2, -4311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 281324*-54\nAnswer: -15191496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-28)*(-20)\/30. Suppose -14 = 2*y + 3*d, d + 2*d = -12. Let f = -2 - y. Are b and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 5*z**2 + z + 3. Let x be t(-5). Let d = -0.7 - -0.2. Let l = -1.5 - d. Which is the closest to l? (a) -3 (b) x (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/((m**(-1\/6)\/m)\/m))\/m*m*m)*m\/(m*m*m**(-3\/7)))\/(m**(1\/10)\/m**(-1\/8)) assuming m is positive.\nAnswer: m**(-3329\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*12\/24*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*m + 1196*m - 596*m - 115*m**2.\nAnswer: -115*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q - 2*y + 5, 2*y = 2*q + 2. Let b = -0.8 + 0.9. Sort -4, q, b in descending order.\nAnswer: q, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.4 + 0.25.\nAnswer: -15.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, v: 3, i: 2}. What is prob of picking 1 i and 3 z?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 3 - 2 + 1)*(6 - 9 + 6) in the form w + d*c and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 418 (b) -2 (c) 0.284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144933714 divided by 249027.\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1, 2, 3 in decreasing order.\nAnswer: 3, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 231950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))\/g)**14*((g*g**(1\/3))\/g*g)**(-2\/163) assuming g is positive.\nAnswer: g**(-6854\/489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.03 (b) 2 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 26*y + 30. Let f be b(-18). Let o be 5\/(-2)*8\/(-10). Calculate the remainder when 84 is divided by f\/30 - (o + 24\/(-10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77237 (base 8) in base 6?\nAnswer: -410023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = 27*u - 6357988. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*x**2 - x - 5*x**2 - 55*x**3 - 1 + 57*x**3 - 7 wrt x?\nAnswer: 12*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 + 4*v**3 - 15*v**2\/2 - 15*v - 4. Let r be y(-13). Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 84*i - 7. Let u(t) = -1145*t. Determine r(u(a)).\nAnswer: -96180*a - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -941 + 941.005012. Round k to 4 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117*t**2 + 189*t - 189*t)*(2 - 2 - 2*t) to f*t + z + g*t**2 + v*t**3 and give v.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, 1 w, and 1 p when four letters picked without replacement from {k: 1, t: 1, p: 1, r: 1, h: 1, w: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 19*z**2 - 610*z + 63. Let k be w(32). Let s(t) = -13*t**2 + 7*t + 8. Calculate s(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -41\/2, -0.03, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4803 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6196, 3, 1.\nAnswer: 1, 3, 6196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*2*-1*sqrt(1617))\/(sqrt(12)*1 - sqrt(18)\/(sqrt(12)\/sqrt(2))))**2.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 0, 2, -137 in decreasing order.\nAnswer: 102, 2, 0, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/(-609))\/11*12\/(-8)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 0.2 (c) -2 (d) 2\/3 (e) 57\/106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(980).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2*-1)\/((-8)\/272)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1081 - 1015. Calculate the least common multiple of z and 8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*r = -111, -13173*k - 5*r + 147 = -13174*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -2. Let z(t) = 7*t - 17. Let n be z(3). Let s be n\/8*5\/(45\/12). Which is the third smallest value? (a) s (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49891294 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18312973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**3 - 22*p**2 + 8*p + 31. Let l(c) = -9*c**3 + 35*c**2 - 17*c - 62. Let q(v) = -4*l(v) - 7*u(v). Give q(-13).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (-17 - -13) - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*402\/(-670)*(-855)\/162*3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3731\/2490 + 2\/1245. Let b = 1 - 2. Sort b, 4, c.\nAnswer: b, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*m - 9*m**2 + 3*m**2 - 4*m**2 + 9.\nAnswer: -10*m**2 + 82*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41.4? (a) -4\/9 (b) -0.009 (c) 0.057 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzvkvkpopvuvzpvppzk. What is prob of picking 1 k, 1 z, and 1 v?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1024, 952, 882, 814, 748, 684?\n\"Answer: r**2 - 75*r + 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c + 521 = 5*d, 5*d + 4*c - 529 = 0. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 0*i**2 + 4058*i**3 - i**2 - 4894*i**3.\nAnswer: -836*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13462 + -265?\nAnswer: 13175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1894, -3789, -5682, -7573?\nAnswer: -9462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255 + 259. Solve 5*o = i + 8, -o + 3*i + 14 = m*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 70 = 10*q. Let s be (-20)\/28*4\/q. Is s < 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 75180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (155*y - 156*y - 10 - 230)*(0*y**2 - y**2 - 8*y**2) - 1 + y**3 + y**3 - y**3 to the form q*y**3 + i + o*y + a*y**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*36\/8. Suppose 4*y + s*b - 14 = 0, -2*b = y + 1 - 7. Factor 2\/3*n - y*n**3 - 4\/3*n**2 + 0.\nAnswer: -2*n*(n + 1)*(3*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-3))\/(-2))\/(((-1)\/4)\/(1020\/160))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 44768 = 2*f, 4*f + 22380 = 5*f + 2*y. Does 97 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -477026900101 and -1.2.\nAnswer: -477026900102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 15*d**2 + 16*d + 30. Let u be v(-14). Let n(c) = c - c**3 + 44*c**u + c - 47*c**2. What is n(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42 (b) 3 (c) 1.74 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 + 12*d**4 + 30*d**3 - 192*d**2 + 261*d - 108 = 0. What is d?\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20386, -81736, -184050, -327328?\n\"Answer: -20482*u**2 + 96*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.073, -7, 5, 2\/9, -2\/7 in increasing order.\nAnswer: -7, -2\/7, -0.073, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4896*f**3 - 10*f**2 + 2*f - 114678 wrt f?\nAnswer: -14688*f**2 - 20*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(325)*2 + -4)*-5 - (-1 + sqrt(325)*-1 - (0 + 2 + sqrt(325))))**2.\nAnswer: -282534 + 12240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8488\/15 + 566. Which is the third biggest value? (a) 8 (b) 0 (c) m (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 60.5281.\nAnswer: 61.5281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 4, u: 6, z: 1, v: 3}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -2786, 6\/5?\nAnswer: -2786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -15*t + 13*t. Suppose 3*s - 212 = t*z, 0 = 5*s - 2*s + 5*z - 202. Suppose -u + s = 2*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -1 - 9\/2*i**2 + 3*i + 2*i**3 - 1\/4*i**4. Factor l(k).\nAnswer: -3*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6640696 minutes?\nAnswer: 39844176000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 w when four letters picked without replacement from {x: 3, w: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 68.64124 kilograms?\nAnswer: 68641.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.141367 decades to years.\nAnswer: 81.41367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3900, 15616, 35142, 62478, 97624?\nAnswer: 140580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v, 5*v = -g + 2*v + 1. Suppose -5 = -2*l + 4*k - g, -4*l + k = 6. Let n = l - -4. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39544886 times 2\nAnswer: 79089772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3168 minus -3060387?\nAnswer: 3060386.6832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 54. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 1. Let o be 306\/561 + (-28)\/11. What is s(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -785064 by -56.\nAnswer: 14019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/293? (a) 2 (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/8))\/n**(-4\/7)*n**4*n**(-2\/7)\/n assuming n is positive.\nAnswer: n**(233\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1060 and 1166.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849007 is divided by 169799.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141.4 and -695?\nAnswer: 98273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5301 + 0.1249. Let k = 35.6 - 33. Let l = k - o. Round l to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21827669 to the nearest integer?\nAnswer: 4672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -1028, -1647, -2342, -3119, -3984?\nAnswer: -4943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 112?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from pxpbxpbuiipw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from yyyhhcchyccyyyhy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -295. Let a = q - 49. Calculate the lowest common multiple of a and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -706 - 4?\nAnswer: -70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -33474260?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from {f: 10, l: 4, d: 3, w: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -1457.\nAnswer: -1456.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-1 + 0 + 2)*(40 - 2*t - 40).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*s**3 - 2*s**4 - 7 - 14*s - 57*s**3 + 3 - 18*s**2.\nAnswer: -2*(s + 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5617 - -5698. What is the closest to 1\/2 in -0.2, 0.4, f, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5654 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 42 = 3*k, -4*k = -3*l - 62 + 11. Let a(t) = -1 - t + 3*t + 45*t**2 - 3*t. Let n be a(-1). What is the highest common factor of k and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12435, -13047, -13647, -14229, -14787?\n\"Answer: j**3 - 619*j - 11817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/16 - ((-9)\/15 + 1463\/(-70)). What is the greatest common factor of l and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 466510, -72, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*n - 2, 0 = -k + n - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-20))\/((-33)\/(-55)*-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9669*d**2 + 2*d - 603. Let q(b) = -4835*b**2 - b + 307. Let s(k) = -3*l(k) - 5*q(k). What is the second derivative of s(a) wrt a?\nAnswer: -9664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:03 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11377289 divided by -1625327\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/10, -0.03, 0.2, -5 in ascending order.\nAnswer: -5, -0.03, 0.2, 21\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1. Let h(q) = q**2 + 13*q + 6. Let y(w) = -h(w) - i(w). Let d(z) = z**3 - 5*z**2 - 7*z - 6. Let m be d(6). What are the prime factors of y(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9804.77 + 9971. Let t = g + -0.23. Let w = t + -166.146. What is w rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/33*(-417450)\/575?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + f**3 + 11*f**3 - 92*f + 3*f.\nAnswer: 12*f**3 + f**2 - 89*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694260 is divided by 147.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 16.\nAnswer: -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715711 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264 + -262. Suppose -w*v + 3*r = v - 48, -4*r + 48 = 3*v. Calculate the greatest common divisor of v and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10789 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:44 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {g: 2, j: 7, t: 11}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -2, 131, 0.0512?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 6*q. Suppose q*w + w = 5*f + 42, 0 = 5*f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1307, 4582, 10003, 17540, 27163, 38842, 52547?\n\"Answer: -5*l**3 + 1103*l**2 + l + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120200 + 11?\nAnswer: 120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6421 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0*a = -4, 0 = -5*t - 669*a + 674*a + 35 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 19758 = 7*z - 3*q, 0 = -5*q - 10. Let m = z - -59183\/12. Find the common denominator of m and 23\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*f. Put f, -1, 1, -0.4 in decreasing order.\nAnswer: f, 1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + n - 2180 + 144 = 0, -2*x + n = -1364. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.778509cm in micrometers?\nAnswer: 27785.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -178556.8 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971033.\nAnswer: 7, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*sqrt(48) - 6*sqrt(12)\/sqrt(4)) + -1).\nAnswer: -72*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223776.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let k(r) = 167*r + 8. Let z(g) = 158330*g + 7582. Let b(c) = 11373*k(c) - 12*z(c). Give b(o(d)).\nAnswer: -669*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72))**2*-2.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 5 (c) 0.4 (d) -151 (e) 17.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497278*i - 5909602*i - 155490*i.\nAnswer: -5567814*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 21. Suppose 0 = 3*i - h. Let o(x) = -3*x - 3. Let k be o(-2). Solve 3*p + i*l + l + 11 = 0, -k*p - 18 = -3*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1441.3 (b) 3\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 81.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, t: 4, e: 2}. Give prob of picking 1 a and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -12322032121200?\nAnswer: -12322032121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -119, -120, -117, -110?\n\"Answer: 2*i**2 - 7*i - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = -3, l - 225 = 5*z. Calculate the remainder when l is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**4\/24 - 16*b**2. Let t(u) = 279*u - 720 + 720 - 55*u. Determine t(c(n)).\nAnswer: -224*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8)*(-2678)\/13*-4. Let o = w - 203. Solve 3*s - 4*m = -26 + 4, 3*s - 6 = -o*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1578957.659 to the nearest one thousand.\nAnswer: 1579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - u - 27 = -2*u, -4*g = 2*u - 18. Let s(w) be the first derivative of 5 + 6*w - 1\/2*w**2. Give s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10570, -21102, -31652, -42232, -52854, -63530, -74272, -85092?\nAnswer: -96002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/4 + 3*x**4 - 5*x**3 - x**2\/2 + 21*x\/4 - 5\/2.\nAnswer: -(x - 10)*(x - 1)**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1564 (b) -4 (c) 9\/8 (d) -0.5 (e) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -6)*2\/(-4). Let r be (-1 + 76)\/(5 + 162\/(-36)). Suppose -2*m - 5*u = -0*m - 158, -i*u + r = 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-111)\/(-1))\/(273\/(-26)))\/((-3161)\/44254)?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12284281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 164*n**5\/15 + n**4\/24 - n**2 + 35*n - 1. Let u(o) = -11*o. Determine u(r(v)).\nAnswer: -7216*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:29 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -84011559 and 10.20831.\nAnswer: -84011548.79169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8965*s**5 - 3*s**4 + s**3 - 161685*s**2 wrt s.\nAnswer: -537900*s**2 - 72*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 85, 131, 195, 283?\n\"Answer: r**3 + 27*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -10*w + 17*w - 140. Calculate the remainder when 698 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j**3 - 182308*j**2 + 259760384*j - 291999744 = 0 for j.\nAnswer: 9\/8, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 2, 4, -0.2, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1512 + -20\nAnswer: -19.8488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Suppose 0 = 4*k + r - 3*r, -4*k = r. Suppose 2*g - 7*g = k. Let u(s) = -2*s + g*s + 0*s. Give u(a(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14 = 10. Let i be 6*2\/(-3)*1. Let j be 1\/(7\/i) - 0. Are q and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, 3, 0, 1, -820 in descending order.\nAnswer: 3, 1, 0, -4, -26, -820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24833.464573 rounded to the nearest one hundred?\nAnswer: -24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11784 and 5721132?\nAnswer: 11442264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 27002*v + 30 = -27001*v, 3*p = -5*v + 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -387 + 2069. Suppose -d = -6*x + 9976. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9345 - 121401\/13. Is 6 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1141 = b + 15, -3*b - 773 = -2*f. Calculate the least common multiple of 28 and f.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207\/2*k**3 - 83\/4*k**2 + k**5 - 327\/4*k**4 + 0 + 0*k = 0.\nAnswer: -1, -1\/4, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48.4, -5\/2, 0, 0.5, 2.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1\/108, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16225921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*m + 1976, 1407 - 221 = -3*m - h. Let t = m - -401. Solve d = t - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:09 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36282, -36280, -36278, -36276, -36274, -36272?\nAnswer: -36270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5\/2, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30416 + -30398. Calculate the smallest common multiple of l and 1836.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 111*f**3 + 15*f**2 - 22*f. Let z(m) = -22*m**3 - 3*m**2 + 4*m. What is 2*h(g) + 11*z(g)?\nAnswer: -20*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.466 - 1.9. Let k = t - -0.434614. Round k to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(4\/12) + -3369. Let h = 2251 + v. Is h\/(-2)*(-7 - 259\/(-35)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let n(r) be the first derivative of 0*r + 304 + 142\/3*r**3 + 0*r**2. What is n(h(a))?\nAnswer: 142*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 14) in base 2?\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 3 + sqrt(12) + (sqrt(147) + 0 + sqrt(147) + 0)**2).\nAnswer: -2960 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.9 + 2. Let i = 3 + m. Let q = -893.06 - -893. Which is the nearest to q? (a) 5 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let p be ((-7)\/14)\/(2\/(-40)). Suppose 2*r + w - 24 = 6*w, 4*w + p = -3*r. Let a(z) = -7*z**2 + 9*z**r - 7*z**2. Give i(a(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78\/(-16) - (12\/112)\/(72\/84). Sort 0, 6, -8, -3, z in increasing order.\nAnswer: -8, z, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = -18. Let x = 404 + -401. What is the least common multiple of j and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -674 or -683?\nAnswer: -683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + k + 2, 0 = -5*n + n + 4*k + 8. Is -3 + (6882 - n)*20\/12 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) 5 (b) 691 (c) 159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 2 - 2)*(-54 + 45 - 474) to the form y*k**2 + h + n*k and give y.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from stnnvtvcjvvvsss.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/7)*(t*t**(-1\/6)*t)\/t*t\/(t*t\/(t\/(t*t**(-1\/3)))*t)*t**(5\/9) assuming t is positive.\nAnswer: t**(109\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5077303, 5077308, 5077313, 5077318, 5077323?\n\"Answer: 5*x + 5077298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*18\/(-132))\/(-1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2, 1, -1, 20 in decreasing order.\nAnswer: 30, 20, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70434 and 89679252.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -129. Let z = 0.0294 - 30.9574. Let g = z + p. What is g rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (1 - (-1 + 0) - (-3 + -4))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*b*j*t**3 - 36*b*j*t - 2*b*t**3 - j*t wrt t.\nAnswer: -330*b*j*t - 12*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1471 + -1471.00319. What is l rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p + 4*l + 35 = -31*p, 2*p - 25 = 3*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 116, 232, 348, 464?\n\"Answer: 116*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + -0.05. What is the closest to j in -0.1, 0.6, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 8. Suppose 1653*z = 1660*z + 42. Let d(i) = 4*i - 9. Give z*x(a) + 5*d(a).\nAnswer: -4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -438 + 715.4. Let n = x + -277. Put n, -1\/4, -5 in decreasing order.\nAnswer: n, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7 - 12\/7*z + 10\/7*z**2 = 0 for z.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7109 divided by -9936\nAnswer: -7109\/9936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -6 (c) 4 (d) -0.21 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -45, -17, 7, 27, 43?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jftttfttayyyf. What is prob of sequence fj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(102544\/(-87)) - (-2)\/(-16)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -3, 2\/13, -1, -94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.5. Let f be (-36)\/6 - (-400)\/40. What is the nearest to v in 2\/7, f, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005200908634 to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -2 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchlihecedcdeec. What is prob of sequence cci?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -439836 or -439873?\nAnswer: -439836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/12*-3*5. Let l = 15 - 9. Suppose l = -m + 4*m. Solve m*h = -d - 2*d - s, d = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 41*r**3 - 332*r**2 + 32*r - 6. What is h(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12380712.\nAnswer: 2, 3, 167, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1783.16393987 + -4\nAnswer: -1787.16393987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/3 + x\/3 + 2 = 0. What is x?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/5))**(-2\/103)\/((k*k**(2\/5))\/k)**(-21))**(-13) assuming k is positive.\nAnswer: k**(-56342\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -593*l - 590. Let o be g(-1). Factor 178\/3*r**2 - 5\/3*r**o - 70\/3 - 103\/3*r.\nAnswer: -(r - 35)*(r - 1)*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 3\/10*f**6 + 0*f**2 + 72*f + 1\/6*f**4 - 2 - 57\/2*f**3 + 0*f**5. Find the second derivative of w(s) wrt s.\nAnswer: 108*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - h + 28 = 0, 3*h - 24 = -5*q + 2*q. Suppose q*s = -3*d + 139, 0 = 4*s - 3*s - 3*d - 35. What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + 0.31. Let z = x - -0.16. Which is the nearest to 5? (a) z (b) 1\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/2*(-7)\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/150 + 7*f**5\/200 - f**4\/20 + f**3\/6 - 17*f**2. Let c(a) be the first derivative of u(a). Solve c(r) = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 54686*s - 328010. What is q(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -4, 0.0918, -2\/21?\nAnswer: 0.0918","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - c = 4*c - 22, c = -5*y + 14. What is the greatest common factor of y and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let n(y) be the first derivative of -y**2 - 6. Calculate c(n(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 98743260 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2368 (b) 0.1 (c) -4 (d) -11 (e) 0.3 (f) -2\/7 (g) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 4*q - 4. Let v(y) = 33*y + 7*y**3 + 13 - 46 + 2*y**3. Determine -33*o(b) + 4*v(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701.301 nanoseconds to milliseconds.\nAnswer: 0.000701301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30, -58, -86, -114?\n\"Answer: -28*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1478377962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**5 + 0*d**6 - 1\/2*d**4 + 23 + 0*d**3 - 2*d + 0*d**7 + 5\/7*d**8 + 0*d**2. Find the third derivative of h(m) wrt m.\nAnswer: 4800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01673 to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13918, 13901, 13884?\nAnswer: 13867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2. Let s(a) = 205*a**2. Determine o(s(c)).\nAnswer: -252150*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 84325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -2 - -1483 - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/9*-3 + 86\/41. Is j greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -464 + 762. Let c = 941 - q. List the prime factors of c.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-27*32\/(-720))*(-2)\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/270 and -187\/6000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 617113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.74069459 to one dp.\nAnswer: -68.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416*b**4*h + 68*b**3 + 342*b**2*h + 407*b*h wrt b.\nAnswer: 9984*b*h + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 8*k - 262. Let q(b) = -4*b**2 + 13*b + 266. What is 3*f(w) + 2*q(w)?\nAnswer: w**2 + 2*w - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:37 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 486027 or 486008?\nAnswer: 486008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75*b*z - 301*b - 18*z - 2 wrt z?\nAnswer: 75*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a + 14. Calculate h(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/12 (b) -2\/5 (c) 2\/17 (d) -0.11 (e) -0.2 (f) 2\/109 (g) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 231\/6 + 0 + (-1)\/(-2). Suppose d - 47 = -4*v. Solve k + v = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 0*y**2 + y**3 - y**2 + 2*y**3 - y**3 to the form c + w*y + p*y**3 + a*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - n - 12. Suppose t + 0 - n = 5*d, 4*t - 6 = 2*d. Which is the second biggest value? (a) -0.4 (b) -6\/19 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24ee92 (base 15) in base 8?\nAnswer: 6604413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(700)*-6 - (-2 + sqrt(700)*-1 - sqrt(700))) + 4 + -2)*-2)**2.\nAnswer: -1280*sqrt(7) + 44864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 781577475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + 19\/(-418)*-341. Solve -n*o + 12 = -12*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 13 = -5. Suppose -5*l + 9 = 5*y - 6, -2*l = -4*y - m. Suppose -4*s - l*x + 42 = -0*s, -2*s = 4*x - 16. 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 are the prime factors of 86680279?\nAnswer: 7, 71, 174407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 592261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 81966112?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 23 + (2 + 0 - (-4 - -3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 2)*3\/2. Let f(s) = 9*s - 10. Let t(j) = 11*j - 11. Let n(a) = 7*f(a) - 6*t(a). Let b be n(d). Solve 3*w + 4*i - 11 = -0*w, 9 = b*w + 2*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**14*l)\/(l*l**(1\/5))*l\/(l*l*l**19*l)*l*l\/(l**(-4)\/l) assuming l is positive.\nAnswer: l**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 330, 5\/22, -4, -2\/5, 3 in decreasing order.\nAnswer: 330, 3, 5\/22, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/244 and 1\/7.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - l = -10, 2*q - 3*l - 4 = -0*q. Suppose -546 - 124 = -5*d. Suppose -t - d = -3*t - q*m, -2*m = -5*t + 335. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(9\/2)\/o)\/o*o\/((o\/(o\/(o\/(o*o**37))))\/o*o) assuming o is positive.\nAnswer: o**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4461.109 centuries?\nAnswer: 446.1109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 3. Let x(h) = -2*h + 2. Let v(i) = 3*n(i) + 2*x(i). Let g be v(4). Factor -5*j**4 + 3*j**4 + g*j**4 - 2*j**4.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**4 - 2147?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five eighths of a day?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + v. Let l(b) = -16*b**3 - b**2 + 2*b + 7. Calculate -l(r) + m(r).\nAnswer: 16*r**3 - r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20910 and 216726?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2132)\/182 + -4 + 18.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*n + 7982 = 527*n - 18*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19465300 rounded to the nearest ten thousand?\nAnswer: -19470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-8)\/8)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -20\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -1 (c) 3\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 1 (c) 0.3 (d) -2\/13 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r + 1. Let o(z) = -4*z**2 + 3*z - 3. Let x(c) = -3*n(c) - o(c). Let d(b) = -2*b**2 - 28. Determine d(x(s)).\nAnswer: -2*s**4 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((6*(sqrt(68) - (sqrt(68) + 1)**2) - sqrt(68)) + (sqrt(68) - (sqrt(68) + 0 + sqrt(68)))*5 + 5)*2.\nAnswer: -819 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 57030.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1)**2*-5 + -4.\nAnswer: -3604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12*a**3 - a + 0*a - 2*a**2 - 8*a**4 - 2*a + 25*a**4 + 10*a**3 in the form g + w*a**4 + y*a + v*a**3 + n*a**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*v**3 - 20*v**2 + 18*v**2 + 19*v**2 - 17 - 35*v**2 + 13*v**2 in the form x*v**2 + d*v**3 + i*v + q and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 - 37 + 11 - 54)*(-n**2 + n**2 - 2*n**5).\nAnswer: 416*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 11 = 2*q - 5*y, -5*q - 13 = 2*y. Let w be 2 + -1*0\/q. Let v = -0.51 + 0.61. What is the nearest to v in w, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*m*t**4 - 147*m*t**3 - 3*m*t**2 + m + 4*t**3 + 4 wrt t.\nAnswer: 192*m*t - 882*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*y**2 - 28*y + 178 wrt y?\nAnswer: -12*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d**2 + 71 - 71.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbbbbybybbbb.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -211120221100?\nAnswer: -211120221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9104\/541 or 17?\nAnswer: 9104\/541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.34, 8, -985, 5, 0.32 in decreasing order.\nAnswer: 8, 5, 0.34, 0.32, -985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13018590 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*d**4 - 113*d**4 - 47*d**4 + (4*d**3 + 0*d**3 - 2*d**3)*(-d + 2 + 4*d - d).\nAnswer: -272*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.25? (a) -0.22 (b) -4 (c) -2\/11 (d) 1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/3 - l**4\/4 + 7*l**3\/6 + 4*l**2 + 2*l. Find the second derivative of c(y) wrt y.\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2\/12305, 1\/5, -2, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/1260*24\/(-9). Put 3\/5, w, 7\/8 in descending order.\nAnswer: 7\/8, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4*z + 5*z)*(3 - 3 - 2) + 232*z - 86*z + 140*z.\nAnswer: 288*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from deddedeededdddee.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-59 - (3 + -57)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12679 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*d**4 + 0*d + 0*d**2 + 0 + 4\/7*d**3.\nAnswer: -2*d**3*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1096 and 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 3202*x**2\/3 + 50116*x\/3 - 14688008\/3.\nAnswer: (x + 134)**2*(15*x - 818)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inryrlrliwirliyyyr. Give prob of picking 2 l and 2 r.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + -5*(sqrt(684)*-2 - sqrt(684)) + -5 + 3)**2.\nAnswer: -1800*sqrt(19) + 154000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-18) - (-2)\/9. Suppose -4*d + 32 = 4*n - 3*d, -3*n + 5*d + m = 0. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 4\/16. Suppose z - 3*z + 48 = i. Solve -4*k - 3*b - 14 = 0, k - 5*k = -2*b + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2. Let p be o(-2). Calculate the common denominator of p\/(-120) - 91\/30 and -5\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 49*f + 26. Determine a(-4).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1453*q + 26. Is w(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*g - 1341, 0 = 2*q - g - 1091 + 197. Suppose 7*u = 5328 + q. Is 75 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 219, 227, 235, 243, 251, 259?\n\"Answer: 8*u + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/3*r**3 + 0*r**2 - 4 + 0*r. Let l(i) = -i**2. What is l(m(c))?\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17550 and 15600.\nAnswer: 140400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-44)\/10) + (-32)\/80. Suppose y = b*y - 748. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 155*2\/25 - (-2)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:42 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**6 + 3*l**4 - 15*l**2 - 3*l. Let r(u) = -u**6 + u**4 - u**2 - u. Let v(f) = 3*r(f) - x(f). What is the third derivative of v(z) wrt z?\nAnswer: -960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1526143007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 4 - 2)*(-2*b**2 - 5*b + 5*b + 2*b - 2*b - 2*b**2 + (-2*b - b + 4*b)*(2 + b - 2) + 3*b**2 - 3*b**2 + b**2) in the form y + s*b**2 + w*b and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 467*y**2 + 3*y + 5. Let x(f) = 933*f**2 + 7*f + 12. What is 5*j(i) - 2*x(i)?\nAnswer: 469*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -y + 4*y. Let o be 6\/15*(y - 5). Solve -5*z - o = -10*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 + -22 + (-5 - -6) - (-1 + 9)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6446221 or -6446220?\nAnswer: -6446221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 2. Let s be 1\/(12\/10 - k). Suppose -m - s*b = 5 - 2, -4*m = -3*b - 57. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 4516*j - 13557.\nAnswer: (j - 3)*(j + 4519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002968 to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(320)*6 + -3)**2.\nAnswer: 864*sqrt(5) + 103689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8184 by -2089.\nAnswer: 8184\/2089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -175 times -0.4\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 174. Suppose 3*k = 6*k + 4*p + 11, -k = -4*p - g. Solve k*u = -j - 4, -3*u = -0*j - 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3)\/(s*s**(-16)*s) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 + 2334?\nAnswer: 23ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824098.\nAnswer: 2, 3, 131, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/(m*m**4))\/m*m*m\/(m*m\/(m\/m**(2\/9)*m*m)))**1 assuming m is positive.\nAnswer: m**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-12)*8\/(-3). What is the third derivative of o**6 - p*o**5 + 2*o**5 + 2*o**2 - o**2 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 139299.\nAnswer: -4\/139299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287767, -287808, -287865, -287938?\nAnswer: -288027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -603 + 615 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053531 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29591\/(-861441) + (-3)\/(-171))*14\/(-18).\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 times -54?\nAnswer: -4590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 1. Suppose 3*o = -2*o + k. Let q(g) = 2*g - 6. Calculate the remainder when o is divided by q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*s = -20, -4*j - 9*s + 12 = -5*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4873.39 rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 34 = -44*s. Suppose -2*x - n = -19 - 14, -81 = -5*x - 2*n. Is s greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 32. Let n(w) = -3*w + 16. Let p = 3247 + -3252. Give p*n(d) + 2*z(d).\nAnswer: d - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -170*t**2 - 23*t**2 + 23 - 75*t**2 wrt t?\nAnswer: -536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17*d + 17. Does 8 divide o(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose 4*k = -5*h + 3*h + 188, 4*h = r*k - 163. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5434188 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 190 * -523.\nAnswer: -99370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/322 and -97\/29011372.\nAnswer: 203079604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0812 and 42452.\nAnswer: 3447.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 2*m + 2. Let c be l(0). Solve c*s + z = -2, 5*s + 0*z - 6 = 3*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 + 0*l**5 + l**5 + (-2*l**2 + 5*l**2 - l**2)*(3*l + 0*l - 4*l)*(8*l**2 - 5*l**2 + 4*l**2).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1 - 2\/1. Let y = w - -3. Suppose 5*r = 3*c + 25, c - y*c + 25 = 5*r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11ce (base 16) to base 7.\nAnswer: -16201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(1377) - (sqrt(1377) + -1 + sqrt(1377)))**2 - (sqrt(17) - ((1 + sqrt(17))**2 + sqrt(17)))*-5) + (2 + (sqrt(1088) - 2*sqrt(1088)))**2.\nAnswer: -59*sqrt(17) + 2380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54491*h - 54491*h + 124 - 45*h**2 wrt h?\nAnswer: -90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. What is the third derivative of -n**3 + z*n**2 + n**2 - 2*n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432598 and 1752?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -261*p + 1331 - 13598 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6))\/((-2)\/(-3)). Suppose -o*z + 23 = 1. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 3*r, -2*r = 3*s - 2 - 41. What is the remainder when 41 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5280 (base 12) to base 16\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 7 = 3*m - 59, -3*m + 22 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/20? (a) 333 (b) 4.5 (c) 11 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.24 + -1.24. Let p(l) = -l**3 - 3*l**2 + 6*l + 7. Let r be p(-4). Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + -20 - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p**2 - 32697*p**3 + 27*p**2.\nAnswer: -32697*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/20 + (-29)\/(-2). Let m be (-5)\/w + (-581)\/3. Let b = -124 - m. Calculate the greatest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/2 + (60 - 44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -54.8. Let z = 2.8003 - l. Round z to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -4 + 6 + -8 - -5 - 18) + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w - w**3 + w - 9*w**2 - 3*w + 4. Suppose 129 = 4*k - k. Calculate the remainder when k is divided by s(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -1 - (-5 - -3). Let y(g) = 3*g**2 + 4*g + 2. Let f(k) = k. Let u(d) = q*y(d) + 2*f(d). Let r(w) = -4*w**2 - 3*w - 3. Determine -2*r(l) + 3*u(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 2*w**2 - 2*w**2 + 83 + 7*w**2 + 32 + 23 - w**2.\nAnswer: 2*w**2 - 2*w + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) 310 (c) 76 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11719 rounded to the nearest 100?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450265 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 6, g: 1, z: 2}. Give prob of sequence xzp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1330 = -2*y, 4*i = 2*i + 3*y + 1305. Suppose q + i = 12*q. Does 60 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**9*d**13 assuming d is positive.\nAnswer: d**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 8, k: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.002192 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*f + 756 = -972 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -108*y**2. Let b(s) = -s - 280990. Give b(x(r)).\nAnswer: 108*r**2 - 280990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*r - 69, 3*r - 4*x + 97 = 1. Let u(n) = -n**2 + 8*n - 6. Let p be u(7). Let m be (p - -2)*(-4)\/r. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 412 - 151416?\nAnswer: -151004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 4516469001*y + 4516469001*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965 = -7*t + 1105, 3*t = 2*s + 52 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 + 12 = 3*o, 4*o - 5*f - 55 = 0. Solve 2*v + 4 = o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12231 = -7*c - 18653. Let g = c + 7653. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnuuupuupupupp. Give prob of sequence un.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gouugggbb. Give prob of picking 2 b, 1 u, and 1 o.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 96. Let b = 3 - -20. Calculate the remainder when l is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -3*l**2\/2 - 10*l - 3. What is the tens digit of j(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/19)*((k\/(k*k\/(k*k**(-19)\/k)*k))\/k)\/k assuming k is positive.\nAnswer: k**(-438\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - g - 32 = 0, 14*d - 110 = 50*g - 46*g for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(42\/(-224)*4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 176, 246, 390, 644, 1044, 1626, 2426?\n\"Answer: 6*s**3 + s**2 + 25*s + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63447 - 50735?\nAnswer: 12512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22867 divided by 2525.\nAnswer: 22867\/2525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*6\/(-9). Let n = 20 + -20.2. What is the nearest to n in 0, z, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5 + 134858*a**4 + 1753029*a**3 + 5933212*a**2 + 4315040*a = 0. Calculate a.\nAnswer: -134845, -8, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8926 - -2?\nAnswer: 8928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -597, -2, -7, 1 in increasing order.\nAnswer: -597, -7, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - -4.5. Which is the biggest value? (a) -2 (b) 7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101001 - -1100100110101?\nAnswer: 1011001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**2 - u. Let g be (3\/6)\/((-2)\/(-12)). Let l = 2 - g. Let b be r(l). Solve 4*s - b = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.48 (c) 2\/7 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/3*-1*3. Suppose q + 3*q - 15 = -d, 0 = -3*q + h*d + 40. Suppose 0 = 5*j + q*t - 20, j - 2*t - 4 = 2*t. Solve -4*r = 4*k - 20 + 4, 8 = j*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 + 389. Let n = -215 + u. Which is the closest to 3? (a) -0.2 (b) 3 (c) 0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 4422 = 3*a - 41*z, -3*z = -5*a + 7432. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - (0 + 1) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -14)*(-2 - -3). Let n = -11 - t. What is the smallest common multiple of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1152, 4696, 10606, 18882, 29524, 42532, 57906?\n\"Answer: 1183*b**2 - 5*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721 = x - s - 718, 4*s = -2*x + 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/48*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6720, -13450, -20180, -26910, -33640?\nAnswer: -40370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828*q - 410*q - 176*q.\nAnswer: 242*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (41 - 2100\/45).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1240 = -0*p. Let u be p\/15 + (-2)\/(-3). Let o = 33 + u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(12) + sqrt(3) + sqrt(24)\/(sqrt(24)\/sqrt(3)) + 1 + ((sqrt(108) + 1)**2 - sqrt(108) - (sqrt(21) + sqrt(42)\/sqrt(2) + sqrt(21))\/sqrt(7)).\nAnswer: 7*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -8278035?\nAnswer: -8278022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -10, -3 in descending order.\nAnswer: -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -6*d + 54, 3*d - 36*s + 41 = -29*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 2*(-2 - 0). Suppose -276 = 4*y - o*y. Suppose 2*p - 192 = -4*x - 2*p, p = -2*x + y. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36707441.\nAnswer: 31, 37, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202232 + 31120?\nAnswer: -1111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 - 291183*h**4 + 12*h**3 - 10*h**2 - 984*h - 362 wrt h?\nAnswer: -60*h**2 - 6988392*h + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 45\/6)\/5. Which is the closest to q? (a) 0.4 (b) -5\/3 (c) 1\/2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.143979 micrometers to meters.\nAnswer: 0.000003143979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 minus -7.7?\nAnswer: -61.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2860 - 1574 - 94*j**2 - 748 + 1410 - 115*j**2 with respect to j.\nAnswer: -418*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-220))\/(2\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 286, 429?\n\"Answer: 143*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72593*i**4 + 5*i**2 + 2*i - 1939 wrt i?\nAnswer: -1742232*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(3 + 1 - 5 + (-1 + 4 - 4)*(1 - 3 + 3))*(u + 5*u + u) in the form y + x*u and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 8437?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 21*d**2 + 20*d - 1. Let f be x(20). Is f less than -2\/1925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(1\/2). Calculate the remainder when 49*r + (-4 - -8 - 6) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + p - 219 = 0, -5*x = -0*x + 4*p - 365. What is the greatest common divisor of x and 949?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 7, v: 8}. Give prob of picking 1 v and 1 l.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/6)\/((-174)\/(-12))*(-1)\/2*-97?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14635211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148920, 148771, 148470, 147975, 147244, 146235, 144906?\nAnswer: 143215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -76.4*-5\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19696178*g**2 - 19696178*g**2 + 16*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -522, -827, -1138, -1455, -1778, -2107?\nAnswer: -2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t. Let y(j) = 12*j + 49. Let m = 68 + -72. Let c be y(m). Calculate n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, w: 11, d: 1}. Give prob of sequence zd.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -92*g + 3870. Give p(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78\/11 + -123\/22. Which is the nearest to -1? (a) r (b) -4 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 1693*g - 106 = 1690*g, -2*g + 64 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/5, -0.0849, 2\/11, -5, -10, 48\/7?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1738\/4111 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7848 divided by 20?\nAnswer: 1962\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 + 90 + 16 - 28 + 109 - 14)*(-5750*x**2 + 5750*x**2 - 43*x**3).\nAnswer: -13029*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/192 and 13\/1356288.\nAnswer: 1356288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 - 929*q**2 + 296*q**2 - 11*q**3.\nAnswer: -4*q**3 - 633*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(4)*-6 + 1*sqrt(144))\/(sqrt(80)\/sqrt(160) - sqrt(96)\/(sqrt(12)*-1)))**2.\nAnswer: 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + s**2 + 3 + (-2*s + 2*s + s)*(2 - 2 - 2*s) - 2*s**2 + 2*s**2 - 2*s**2)*(-s + 15*s + 14*s) to the form u*s + x*s**2 + n + y*s**3 and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 4*i**2 + 2*i + 13*i**2 in the form r*i**2 + a + d*i and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3535061 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (648\/2268)\/(78\/(-14)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -h + 3*h - 1, -3*h + 4 = -5*b. Suppose -l - 2 = -5, -4*q - 5*l + 79 = 0. What is the smallest common multiple of h\/(-18) - 37\/(-6) and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) -6 (c) -0.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27718 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/30 + u**4\/8 - 2*u**3\/3 - 3*u**2. Let p(a) = 5*a + a**2 - 11 + 12 - 6*a. Suppose x + 3 = -0*x. Calculate x*p(z) - q(z).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*h**5 - 1908*h**4 + 25095*h**2 + 2.\nAnswer: 7800*h**2 - 45792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.126955441 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 2784, -3 in descending order.\nAnswer: 2784, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + x = -7, -r - 75 + 50 = 2*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148579150243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 33 = -3*c. Let j(v) = -3*v - 5. Let y be j(4). Let a = y + c. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8057, -32240, -72557, -129014, -201617, -290372?\n\"Answer: -c**3 - 8061*c**2 + 7*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 87. Suppose 0 = 5*t + 15 - 20. Sort j, -6, t, 9 in ascending order.\nAnswer: -6, j, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77\/45 + 10\/9. Which is the third smallest value? (a) 14 (b) 2\/13 (c) w (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and -83\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -865.8 - -829. Let d = 12.8 + f. What is the nearest to -1\/2 in -0.5, 3, d, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15585 + -15580. Solve g*q + c + 10 = 0, 4*q - 4*c + 20 = -12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1094870183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:02 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -19 + 1 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, 16, 50, 86, 118, 140, 146?\n\"Answer: -f**3 + 10*f**2 + 3*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/35)\/((-1)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 3*n = 6*n - 8, 0 = 3*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, 18\/7, -1\/5, -5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -52301\/10 at most as big as -5229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**2 - 5*y - 15. Let n be (-6 + 10)\/4 - -2 - 11. Let o(q) = 7*q**2 + 3*q + 10. Give n*o(a) - 5*l(a).\nAnswer: -a**2 + a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(86\/(-1505)*5*(-6)\/(-4)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -489852? (a) 2\/7 (b) 35 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 + 3*c**2 - 9*c + 9. List the prime factors of u(5).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 18*h**2 - 20*h - 13. Let u be n(-19). Suppose -2*i - u = 0, 0 = -5*t + 5*i + 68 + 37. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + (1 + sqrt(1331) + sqrt(1331) - sqrt(1331)) - sqrt(1331) - (sqrt(1331) + sqrt(1331)*2 + -4 - sqrt(1331))) + 2 + -5)*-5)**2.\nAnswer: -6600*sqrt(11) + 134000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 813*a**2 + 8025*a wrt a?\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6944027 divided by -3\nAnswer: -6944027\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (1 - -3) - (-14 - 0). Is 12 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 10*f**2 + 19*f + 51. Suppose 14 = -3*n + 56. What is the remainder when v(-5) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.8744*-0.2\nAnswer: -1.17488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*i = -552*i + 72*i + 26*i - 31735 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -17\/18?\nAnswer: -17\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1962, -3923, -5882, -7839, -9794?\n\"Answer: d**2 - 1964*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 68*k + 961. What is the remainder when i(-69) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (-45 - -58) + (-4 + -1 - 6).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82397 divided by -7.\nAnswer: 11771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-375)*-20)\/((-120)\/(-1530))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b4 - 1a?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000352 to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/65564 and -97\/6?\nAnswer: 196692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282174 and 508344.\nAnswer: 66593064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4385415.\nAnswer: 3, 5, 31, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h - 75. Let p(u) = u**3 - 4*u**2 - 4*u + 5. Let n be p(5). Calculate the greatest common divisor of n and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -5734192.\nAnswer: -1\/1433548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**6\/s)*s*s*s**(-2)*(s\/(s*s**(-2\/3)*s)*s)**(-39))**40)**(-3) assuming s is positive.\nAnswer: s**3480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khrzrgrhkgrrf. Give prob of picking 1 f and 1 k.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*l**3 - l**2 - 179*l.\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i*i**(-7)\/i)\/(i**6*i*i**4)*((i*((i\/i**(-3))\/i*i)\/i*i)\/(i\/(i**(-5)*i)))\/(i**(-2\/9)\/(i**5\/i)) assuming i is positive.\nAnswer: i**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104872980 and 62040.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8793.878 micrometers to meters.\nAnswer: 0.008793878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 divided by -1?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1, -0.2, -1\/2, -103, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h*(h*h**(2\/23))\/h)))*h*h)\/h)**(-33) assuming h is positive.\nAnswer: h**(-693\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332*z**2 - z**3 - 1332*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 4 + 4*w**2 + 1. What are the prime factors of u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2962910593.\nAnswer: 16139, 183587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(658\/504)\/(-47).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 2*j**2 + 3*j - 4. Let o be h(3). Let s be (6\/o)\/(6\/(-8)). Is s >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3068.45 + -3069. What is the smallest value in 4, -5\/9, k?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1561 - 453?\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31131*b + 2147*b + 4145*b + 4.\nAnswer: -24839*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f + -2d4ee?\nAnswer: -2d52d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/3 - (-7)\/(490\/(-21)) and ((-168)\/(-70))\/((-11)\/5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4325)\/27680)\/(20\/(-8)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 14*x = -15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26795.62 millennia to years.\nAnswer: 26795620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -2*t**3 + 102*t**2 + 188*t. Let b be r(17). Solve -3*w + 10 = 5*a, -w + 0*a + 4*a + 9 = b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -220, -336, -452?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + 3*(sqrt(117) + sqrt(117) + -1 + -3*sqrt(117) + (sqrt(117) + 4*sqrt(117))*-4))**2.\nAnswer: 4536*sqrt(13) + 1857528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:54 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4\/4 + 31*h**3\/4 + 253*h**2\/4 + 165*h\/4 - 225\/2 = 0. Calculate h.\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/32 and 125\/35676.\nAnswer: 285408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011221011 (base 3) in base 6?\nAnswer: -20422221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 27. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 - 316*c - 636 = 0.\nAnswer: -2, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37)\/(518\/84) - -7. Put -4, -165, r, 4, 2 in decreasing order.\nAnswer: 4, 2, r, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l**4 + l**3 + 15*l**2 - 10332?\nAnswer: 28*l**3 + 3*l**2 + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6275, -12550, -18829, -25112?\nAnswer: -31399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*m + 4*n, 3*m + 16 = -3*n + 166. Calculate the smallest common multiple of 22 and m.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17801*v + 1. Let p be b(1). Round p to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*o**2 + o**2 + 9*o**2 - 2*o as t*o + m*o**2 + w and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-1 - (-1)\/7)*7. Suppose -3*v + 1092000 = c*v. Round v to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6*k**2 - 2 + 17*k**2 - 8*k**2 - 10*k**2 + 573*k.\nAnswer: -7*k**2 + 573*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -2\/7 (b) -0.4 (c) 0 (d) 3.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 375, 373, 371, 369, 367?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 11:59 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 157. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*k - 2200 + 2686 + 7758. Which is greater: -2511\/11 or k?\nAnswer: -2511\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -7, 0.4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 6*p - 10. Let q(n) = -11*n**2 - 12*n + 21. Let l(x) = -6*q(x) - 13*w(x). Let z be l(5). Is -3\/5 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6476744*b**6 - b**2 - 569481*b - 1.\nAnswer: -777209280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6095791 by -468907.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 434192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s)\/(s*s**(-1\/3)*s))**(-2) assuming s is positive.\nAnswer: s**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-253 - -252)*((-455)\/(-20) - 1*2\/(-8))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-2\/5)*c)\/c)**(4\/7))**(-45))**(-1\/4) assuming c is positive.\nAnswer: c**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-9)*720\/300?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*q - 237087 - 27673, 5*q = 4*s - 1059054. Let y be (s\/4)\/((-5)\/(-200)). Let m = -9447660 + y. What is m rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 + 593*t + 4618. Calculate s(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - -21. Let x = -61.996 + i. What is x rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**2 + 10429*o + 745.\nAnswer: -(o - 745)*(14*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = n + j, 75*n - 115 = 72*n - j. Calculate the remainder when (1 - 1) + 1 - -71 is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*a = 4, 0 = 4*n + 4*a + a - 16. Let l be (n*-2)\/(-4) + -4. Let g(f) = 5*f**2 - 2*f. Calculate the common denominator of 27\/7 and g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*w = -2*j + 467*w - 6, 283*w = -j - 287 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 + 2000 = -173*b - 54 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -435, -4103, -10229, -18807, -29831?\n\"Answer: c**3 - 1235*c**2 + 30*c + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 5*d - 3*l + 9, 0 = 5*d - 2*l + 6. What is the units digit of (d - 0) + (360\/5 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*o - 10, 3*o + 6 = -33*n + 31*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**2 - 19*d + 19*d + 0*d**2 + d**2 + d**2 + 3*d**2 + 2*d**2 - 3*d**2 - 2*d**2 + 4*d**2 + 0*d**2 - 1 - d**2 + 1 + (-d - d + 0*d)*(4*d - 3*d - 3*d).\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2873.9049 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 20 = 7*y - 2*y, 0 = 4*k - 3*y + 30. Let i = k - 38. Let g = -16 - i. What is the remainder when 82 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 - 27*z**2 + 13*z**2.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1436 and -5.\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76257694.\nAnswer: 2, 38128847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhbhbhnbbbbr. What is prob of sequence hh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.482, -584, 4.\nAnswer: -584, 4, 7.482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -55.1075791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s - 2*w = -2, -5*w = -20. Suppose 3*c - 21 = -s*u, -5*u = c + 4 - 31. Solve 3*t + c = a - 3*a, 3*t = -3*a - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - -27. Let y(n) = n**2 - 4*n - 7. Let s be y(6). Suppose -5*c + 0*x - 5*x + h = 0, -2*x = s*c - 49. What is the highest common divisor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/255 and -4\/234615.\nAnswer: 3988455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from {n: 2, i: 1, g: 3, j: 1, d: 3, u: 7}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 162.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.253828 + 2.3.\nAnswer: 2.046172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v = 17*v - 1290708. List the prime factors of v.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxw when three letters picked without replacement from wxxwuxxwwxx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64580*i**3 + 30567*i**3 + 30183*i**3.\nAnswer: -3830*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 52*z - 75 - 26, z = -956*q + 954*q - 16 - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = a - 3*a - 5, -i + 4*a + 25 = 0. Suppose 0 = -s + 3*s. Let z = i - s. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -28. Let o be ((-3)\/(-5))\/((-3)\/(-15)). Suppose o*d = -0*d + 12. Calculate the remainder when d is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44617 - 355117\/8. Let m = t - 227. Calculate the common denominator of 95\/268 and m.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 9*u + 11. Let w be k(7). Suppose -5*h = 5*m - 670, -2*h + 5*m = -w - 229. What is the highest common divisor of h and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -429327, -429325, -429323, -429321, -429319, -429317?\n\"Answer: 2*g - 429329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-14) - 34\/(-14). Solve 10 = -x*u + f + f, -4*u = -4*f + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -36*q**2. Let l be p(1). Let u(a) = -28*a**2 - 19*a - 18. Let r be u(-1). Let g be ((-80)\/l - (-6)\/r)*1. Is 11\/7 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {r: 4, i: 3, f: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305 + 2?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 150249 divided by 5181?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 5*b**4\/24 - 11*b**2 + 33*b. Let s(j) = 170*j. Give c(s(l)).\nAnswer: 850*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c + 26 = 2*u, 3*u + 4*c - 59 = 0. Let x be -3 + 6\/(1 + 2). Let q = x - -4. Solve -q = -4*k + u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18839?\nAnswer: 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 482134926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*o - 19 = o, 4*y = -2*o - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 374\/(-110) + -22 + 25. Which is the second smallest value? (a) f (b) -35 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34327 divided by -29\nAnswer: -34327\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (15 + -7)) + -3 + -47?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-594)\/63)*-12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:17 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -7\/2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108453781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-1323)\/7)*(-11)\/(-11)*-1\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 7 + (0 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/12 + k**2 + 77*k - 16. Let j be (-2)\/(-6) + 4\/(-3). Let x be j\/5 + 52\/10. Calculate u(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (6 - 0))\/(-1). Suppose -4*u = 4*c - 76, 91 = 4*u + c + a. Suppose -4*m + 5*m = u. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18*c**3 + 4*c**2 + 7*c + 45. Let i(o) = -9*o**3 + 2*o**2 + 3*o + 22. Let d(n) = 7*i(n) - 3*m(n). What is the third derivative of d(s) wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3980404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10123251.6 hours?\nAnswer: 60257.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 s when four letters picked without replacement from ssssassaasa?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 216 = -459. Calculate the greatest common factor of h and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3921 + 10335759\/2636. Does 1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 0.1, 1\/43, 2\/17, -3, 2\/21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m + 42*m + 132 = 0. Let d be -2 + -7*2 + 2. Let j = d + m. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-13 - (2 - -5) - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0626 and 66962.\nAnswer: -4191.8212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 g when three letters picked without replacement from ggwfffgfffwf.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13777366 - -43?\nAnswer: 13777431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115968?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-1*2)\/(sqrt(4) + sqrt(32)\/(sqrt(24)\/sqrt(3))) - (5*sqrt(68) + 3*2*sqrt(17) + 4)**2) + -5.\nAnswer: -4373 - 253*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) + 2*sqrt(196)).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 32*q - 456. Let f be q + -15 - (16\/1)\/(-1). What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-12\/11)\/l*l**(-1))**(-6\/11))**48 assuming l is positive.\nAnswer: l**(9792\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + r + 1. Let y(j) = -96*j**2 + 64*j + 64. Let b = -6462 - -6463. Give b*y(i) - 64*c(i).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/108 and 125\/6468?\nAnswer: 58212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2022680128 divided by 32\nAnswer: -63208754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(-2*sqrt(204)*-3 + sqrt(204)))\/((sqrt(1728) - 2*sqrt(1728)*-1) + (sqrt(1728) - (sqrt(1728)*2 - sqrt(1728)))*-6).\nAnswer: 35*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -63, -86?\n\"Answer: -23*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*i - 13, q + 2*q = 4*i - 24. Suppose c = i*c. Solve -1 = -w - c*w, -7 = 3*d - 4*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328710 is divided by 151.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.93 - 138700235?\nAnswer: -138700517.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*0.2602.\nAnswer: -0.002602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*d + 15*d + 24. Suppose 0 = -2*q, i + 4*q + d = -1. Let p be 3\/9 + (-8)\/6. Is p greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12282)\/(-534)*3\/3*1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60412 - -60424 - (11 - (0 - 1 - (0 - 0)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*l**3 - 1337 - 193*l**3 + 98*l**3 + 8488.\nAnswer: 2*l**3 + 7151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 3. Let b = -1090 - -1092. Let w(z) = -2*z**3 - 4. What is b*w(j) + 3*d(j)?\nAnswer: 2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111606 (base 11) to base 3.\nAnswer: 10200000221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-2*-4.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 40. Suppose -2*s = -v*i + 5*i - 14, -5 = i. Suppose 2*c - 3*x - s - 48 = 0, 0 = -4*c - 5*x + 164. 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: Suppose 23*n = -739 - 1239. Let g = 160 + n. Calculate the remainder when g is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*x - 105702 - 163347. Do x and 5783\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 112636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10159327 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/28)\/((-3)\/7). Let j be 0 + 68\/11 + -6. Which is the second smallest value? (a) l (b) -5 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213413 (base 13) to base 11.\nAnswer: -491934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/3))\/(c**(1\/13)*c*c))\/(c*c**(1\/27)*c**(4\/3)) assuming c is positive.\nAnswer: c**(-976\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1291, -1538, -1889, -2338, -2879?\nAnswer: -3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -23 and 1677344119.\nAnswer: 1677344096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*k = 63*k - 193*k + 310728. What is the least common multiple of 2541 and k?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22894*v = 3*h - 22899*v - 82, h - 3*h = -4*v - 66 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-20)*(522\/40 + -13).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 23. Put -5, -1\/6, l in increasing order.\nAnswer: -5, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 3:23 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-993 - 113 - 1250 - 349)*(-r**3 - r**3 + r**3) as y*r**3 + i + k*r**2 + q*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35711, 4 in decreasing order.\nAnswer: 35711, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-327)\/(-2180))\/((-6)\/(-2)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010001101100 (base 2) in base 12?\nAnswer: 12a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 - 46\/(-3) - 2\/6. Suppose -42*q + 10 = -44*q, -i + 2769 = -n*q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82530413, 330121654, 742773723, 1320486620, 2063260345?\n\"Answer: 82530414*h**2 - h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8766768 is divided by 2547?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/14 and -2*1 - 1 - 786\/(-168).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/2 + 586*v. Let f(b) = 144*b**2. Determine f(g(n)).\nAnswer: 5184*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7478 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 80, -1, -19, 5, -3, 43 in decreasing order.\nAnswer: 80, 43, 5, -1, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and 26.\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 0.3 (b) 2\/9 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 o when three letters picked without replacement from {z: 7, o: 2, q: 1, w: 8}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(1\/11)\/(b\/(b**(-1)*b))**34*((b**1*b)\/(b\/(((b*b\/b**2*b)\/b)\/b)))\/(b\/((b**(1\/3)*b)\/b*b))**(2\/57) assuming b is positive.\nAnswer: b**(-63761\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - a**2 + 0 + 0*a + 2*a - 2. Let l be j(8). What is the tens digit of 66\/l*9*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 15959?\nAnswer: 15955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*o = 13*o - 852. Solve 3*u - 12 = -12*s + 7*s, 5*s - 3*u = -o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8839?\nAnswer: 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 12*i**2 - 11*i - 2. Let n be a(-11). Let p be n + 2 - 2 - -292. Suppose 58 = -4*f + p. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1079 - -1600. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + y + 0*y - 7*y + 1323 + 3*y.\nAnswer: 5*y + 1323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 > -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 35*q**5\/2 + 50*q**4 + 45*q**3 + 10*q**2 - 5*q\/2 = 0.\nAnswer: -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2985 = 10*a - 1235. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 6 = -5*n - 5*t - 12 - 10, 2*n = -3*t - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -61*g - 181. Let o be s(-3). Solve 9\/5*i**o + 0 - 3\/5*i - 6\/5*i**3 = 0 for i.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*v - 2808 - 11362 = 1701 + 10721 for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 122 + 273 = 0. Suppose -8*o + 1 = -k. Calculate the remainder when 19 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddioiododiddddodidiu. What is prob of sequence ou?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - 106\/6. Let z be 4\/m - (-296)\/36. Differentiate g**3 - z*g**2 - 2 + 8*g**2 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -2*f, -9 = -2*f - 3*f + s. Suppose 3*n + 6 = 0, f*n + 64 = 4*k - 0*n. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 0.1. Let d = 1.2 - q. Put d, -2, -1 in descending order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46990 or 46974?\nAnswer: 46990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 300, 0, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*w - 0 - 4, 3*m + 3*w = -24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260077, 260229, 260379, 260527, 260673, 260817, 260959?\nAnswer: 261099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = x + j, -2 = x - j + 1. What is the lowest common multiple of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*u = -a - 848, -853 = 3*a - 5*u. Let w = -262 - a. Solve -w*q = -10*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4921356 and 693?\nAnswer: 103348476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 37*j + 286. Calculate s(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(5) + 5 + (sqrt(20)\/sqrt(4))**2*3).\nAnswer: -63 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 78*h - 80*h - 3, -i - 7*h = 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -711757 - -33?\nAnswer: -711724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 6:06 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 7*w**2 + 10*w. Suppose -15*v = -115*v - 124*v - 2016. Give n(v).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 0 + 3 - 3 - 1. Let p be s(-7). List the prime factors of p\/(-8) - 990\/(-40).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 - -5?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 3)*(63*g + 32*g - 8*g) to s*g + d and give s.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -59*m - 1. Let y(s) be the second derivative of -s**4\/12 - 96*s. What is y(f(c))?\nAnswer: -3481*c**2 - 118*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*-1*(4 + 0). Let d = 2416 + -2417. Put d, p, 1 in decreasing order.\nAnswer: p, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 7*d + 28 = 0, -19459*v + 19457*v - 2*d - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/3 - 9806*j**2\/3 - 6066728*j\/3 - 12015928 = 0. What is j?\nAnswer: -4178, -719, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/3 - (-771)\/(-255). Let j be -17*(-4)\/((-544)\/(-40)). Which is the nearest to t? (a) j (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 36. Is -1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73051086 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m + 3*j - 0, 2*m = 4*j + 10. What are the prime factors of 4 + 290 + m - -2?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67394\/21 + 3208. Let k = -4\/7 - i. Do k and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/24 and -37\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 11 + 2)\/(5\/10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -722 + 1310. Suppose -4*a + r = 4*f, 0 = -8*a + 12*a + 20. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:32 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 2*v - 2*v + (2*v + 0*v - 4*v)*(0 - 4 + 2) + (4*v + 2*v - 4*v)*(0 - 6 + 4).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 + 3*v**3 - 4*v**3)*(-1 + 4 + 0)*(-5 - v + 5).\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i - 2. Let r be v(2). Suppose 5*f = 2*t - 75 - 30, -r*t - 4*f = -168. Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18966668 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5503.\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -12\/103037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d254 - 3?\nAnswer: -d257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y - 3*y - 4*y + (-5*y + y + 5*y)*(-6 + 3 + 1))*(19*y**2 - 23*y**2 - 29*y**2).\nAnswer: 660*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -229*z**3 + z**2 + 8*z + 16. Is 20 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) 1\/4 (c) 93\/4 (d) -14 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -41*l**8\/168 - 5*l**4\/8 + l**3\/3 + 36*l**2 + l. What is the second derivative of s(n) wrt n?\nAnswer: -1640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 7*i + 3*i + (-i + 5*i - 2*i)*(2 + 1 - 1) - 5*i + 0*i + 3*i)*(43*i + 225 - 225).\nAnswer: 43*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2 = -8. Suppose -s*n + f = -10, -10 = -n - f - f. Find the second derivative of -4 + n*p**4 - p**4 + 4 + 5*p wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 12*d + 36*d + 44*d)*(-d - 4*d + 0*d).\nAnswer: -340*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48022 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - r**2 - r + 1. Let z(c) = 13*c**3 - 2*c**2 - 53*c + 2. Give 2*m(w) - z(w).\nAnswer: -15*w**3 + 51*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 11) in base 7?\nAnswer: -563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -715*o**4 + 16949275*o**3 + 12208850*o**2 - 6163500*o - 1422360 = 0. What is o?\nAnswer: -1, -2\/11, 6\/13, 23706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1305880985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 91. Let d = j + 215\/6. Suppose -2*i = 4*i. Is d greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1211, -1206, -1201, -1196?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 7}. What is prob of picking 1 s and 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/2 + 2*z - 7. Let g(j) be the first derivative of p(j). Let r(c) = -38*c - 38*c - 33*c + 108*c. What is r(g(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4919 + 2685. Round f to the nearest 100.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221424101 (base 5) in base 16?\nAnswer: ec2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 5370?\nAnswer: -5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/30 + 1604*v**2. Let y(q) = -2974*q**2. Determine y(f(l)).\nAnswer: -11896*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8*i + 8)*(0*i - i - 2*i + (2 - 2 - 1)*(-2*i + 2*i - i)) as b*i + m*i**2 + s and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -157, -535, -1273, -2491?\nAnswer: -4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 - 2*i**3 + i**2)*(-3 + 0 + 1) + (35 + 2*i - 35)*(-5 - 3*i**2 + 5) to b*i**2 + d + o*i**3 + j*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -y + 23, 4*s = -3*y + 13 + 16. Suppose w - z = 7, s*z + 5 = -5*w - 0*z. Suppose -c + 40 = w*c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 2.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6*h + 35. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3391764 to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*d + 59 = 9, 12 = 3*d. Let h be n\/(-2) - (-7 - 5). Solve 3*l + 0 = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**5\/20 + u**4\/3 + u**2 - 2*u. Let p be i(-4). What is the first derivative of -1 + o**p + 0*o**2 - 2 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + (-8)\/(-3). Suppose 3*n + 10 = -d*k - 5, -2*n = -k + 10. Suppose -2*f = 5*h - 62, k = -f - 5*h - 0*h + 31. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 2. Let o = -339 + 327. What is x(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (-27 - 9) - -2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 433*p - 215. What is q(-217)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270920 and 175056.\nAnswer: 11378640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (8 + 4)) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -796 - -4830?\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*p*r - 630*m**2*p - 9*m**2*r + 2*m**2 - 33*m*p*r + 5*m*p - m*r - 41*m - 11 wrt m.\nAnswer: 2*p*r - 1260*p - 18*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-131760)\/30)\/(-72) - (0 - 2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + p**3 + p**3)*(4*p**2 + 28*p**2 - 4*p**2).\nAnswer: 84*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -9*l**3\/2 - 31*l - 24. Let u(j) = -25*j**2. What is u(h(n))?\nAnswer: -18225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, a: 2, e: 1, i: 2}. What is prob of sequence uw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3928*p + 4566 = -4073*p - 2684 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1133*g**2*j**4 - 4*g**2*j**2 - 3*g*j**4 - 709*g wrt j.\nAnswer: 27192*g**2*j - 72*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 57127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (-38)\/((-9234)\/8397).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -7) + 0 + (-159)\/234. Let o = -2\/13 + v. Put 5, 0, -0.2, o in descending order.\nAnswer: 5, o, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10 - ((-3)\/(-39) + 705\/3510). Which is the nearest to 223? (a) 4 (b) -3\/8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*p + 15 = 0, 2*p = d + 12 - 7. What is the closest to -2 in d, -0.3, -0.002, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 52*b - 14*b + 84*b = 0. Let 0*w + 0*w**2 + b + 0*w**3 + 1\/6*w**4 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 640 - 376. Suppose -p - 2*p = h - 66, -4*h + 2*p + u = 0. Let v = h - 42. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - r**3 + 3*r + r**3 - 5*r**3.\nAnswer: -6*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65599854 and 2259?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 - 3*n**2 + 2*n**2 + n**2 - 4*n**2 + (1 - 1 - 2*n)*(-n - n + 5*n) + (0*n**2 + 3*n**2 - 6*n**2)*(-9 - 1 + 1).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/2, 2, -4, -1, 1\/6, -2\/5 in increasing order.\nAnswer: -4, -1, -2\/5, 1\/6, 2\/9, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -481 = -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/669 (b) 22 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6214 divided by -239.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -943 = 337*d - 360*d. Solve 10*c - 111 = -d for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 4, c: 2, j: 1}. Give prob of picking 2 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 10*s**3 - 8*s**2 - 16*s + 25. Is a(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 376*b + 3 - 4 - 374*b. Let a(k) = 11*k - 6. Let h(u) = a(u) - 6*c(u). Let r(x) = -3*x. Calculate r(h(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 16*p - 65. Give w(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782.22 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(64\/12))\/(1\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -337*-2\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 = 2*w, -11*w - 5*f - 6 + 47 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22166080 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -444 - 17*u + 43*u - 31*u + 0*u**2 - 2*u**2 + 0*u**2 to the form p + b*u**2 + v*u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-1 + 26\/(-4)))\/((-3)\/54)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 2 - (-20)\/3*72\/20?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + -8 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and (-1566)\/(-2) + (303 - 309).\nAnswer: 17094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 589 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 138 = -3*v, 2*v - 12 = -v. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -50*t + 110. Let w(x) = x - 2. Let p(h) = 2*d(h) + 110*w(h). Let u(o) = 7*o + 1. Calculate u(p(s)).\nAnswer: 70*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 721107 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, 135, -2\/21.\nAnswer: -2.3, -2\/21, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/11 - 2\/33. Put 0.06, i, 3 in descending order.\nAnswer: 3, 0.06, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 + o**2 - 9*o**2 - 39 + 42 + 7*o**2 - 25*o. Calculate y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11403 - 11325. What is the remainder when j is divided by 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4) + 2\/4. Let q(z) be the second derivative of 11*z**3\/3 + 2*z**2 - 4*z. Let m be q(v). What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, 10.2, -5\/9, 2 in decreasing order.\nAnswer: 10.2, 2, -5\/9, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5 - 21*f + 6*f - 9*f + 0. Let c be z(-6). Suppose 4*t + 5*m - c = 0, 5*m - 113 = 2*t - 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: Calculate the remainder when 7123 is divided by 1567.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, h: 2}. Give prob of sequence eehh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/14)\/(2\/16). Is (4369\/34)\/(2\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/90 and (485\/497125)\/((-6)\/310).\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 3, i: 2, m: 6}. Give prob of picking 1 m and 1 a.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 223? (a) -1 (b) 1\/4 (c) 4 (d) -0.43 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1261361338 or -1261361337?\nAnswer: -1261361337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.333459 nanoseconds to minutes.\nAnswer: 0.00000000040555765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2 + (110\/(-10) - -21). Sort -0.5, h, 2\/3, 0.3.\nAnswer: -0.5, 0.3, 2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7342*g + 12 = 7338*g + 4*d, 0 = -3*g - 3*d - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 451720*o**3 - 12*o**4 + o**2 + 451722*o**3 + 14*o**4 in the form c*o + q*o**3 + f + l*o**4 + t*o**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11345 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*w = 62687 + 34035, -4*w = -2*h + 48376. What are the prime factors of h?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018447657 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x + 1. Let z(n) = 21*n - 2. Let u(c) = -9*v(c) - 4*z(c). Suppose -a = 4*a + 5*y - 10, 2*a - 4 = 3*y. Give u(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 28. Solve h*k + 4 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(4\/10*5). Put m, 3, -1 in decreasing order.\nAnswer: 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 158 - 5*a + 6.\nAnswer: a + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468) + -5)**2.\nAnswer: 60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -10*a**3\/3 - 7. Let o(h) = -9*h - 5 + 2 + 7 + 4*h. Let t(i) = 4*i - 3. Let g(x) = 3*o(x) + 4*t(x). Give g(f(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -287\/78 or 928\/3?\nAnswer: 928\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 2}. Give prob of picking 1 r and 3 n.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5273a (base 13) to base 3.\nAnswer: 21112121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 589 and 61.18791.\nAnswer: 650.18791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.3 (c) 5 (d) 5\/4 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*o + 16, 3 = d + o. Put -11, d, 1 in descending order.\nAnswer: d, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/215 - -3667\/860. Find the common denominator of h and -53\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215400 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t - 1. Let a = t + -4. Find the second derivative of -3*s**5 + 0*s**5 - 2*s + s**a wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 2*z**2 + 2*z + 3. Let x be i(-2). Let b be 63\/(-42) + x\/(-2). List the prime factors of ((-26)\/(6 - 4))\/b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(3\/4)*j*j**(-1)\/j*j assuming j is positive.\nAnswer: j**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z + 36 = 0. Calculate the common denominator of -69\/4 and 178\/z*(-3 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.834 - 0.034. Let k = -0.04 + -4.96. Let i = k + u. Which is the closest to -1? (a) i (b) 1\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 - 3. Let t(f) be the third derivative of f**6\/120 - f**5\/3 + f**4\/24 - 4*f**3\/3 + 3*f**2 + 51. What is 3*t(l) - 8*v(l)?\nAnswer: 3*l**3 - 4*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 63*h**2 + 188*h - 19. What is k(60)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221010249.\nAnswer: 3, 3257, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. Let y = -1.8 - -2. Let x = y - -0.1. Which is the closest to 0.1? (a) x (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -8) + -45 + 53\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*h*i**4*u - 5*h*i**3*u + h*i*u**3 + 9*h*i*u + 3*i**4*u**3 - i**2*u**3 + 4*i**2*u**2 wrt i?\nAnswer: 264*h*i*u - 30*h*u + 72*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 - 14*c**3\/9 + 16*c**2\/9 + 32*c\/9.\nAnswer: 2*c*(c - 4)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097238 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*y - 3*y + 128 = 616 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 - 43*s**3 - 70*s**3 - 66*s**3 + 188*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539)*-3 + 2*-5*sqrt(33)\/sqrt(3))**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 2, d: 8, r: 1, f: 1}. Give prob of sequence dfm.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 1. Let c(w) = -15*w**2 - 150*w + 125. Let h(d) = -c(d) + 20*k(d). Solve h(a) = 0 for a.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mggb when four letters picked without replacement from {b: 1, m: 1, g: 3, x: 5, w: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96463391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + i**2 - 3*i + 3*i**2 - 3 + 9*i. Let t be x(-7). Sort -4, t, 5 in decreasing order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 13*c**2 - 10*c - 16. What is h(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.098 + -98.898. Let x = 0.2 - i. Let m = -99.0106 + x. What is m rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 3, 10, 21, 36?\n\"Answer: 2*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1490339 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skdh when four letters picked without replacement from {a: 1, h: 1, s: 1, d: 1, y: 2, k: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2\/3 + 59982193*h\/3 - 59982194\/3 = 0.\nAnswer: -59982194, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4 - 44*y**3 + 1706*y**2 - 4444*y - 6192 = 0.\nAnswer: -43, -1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 18*o + 129. What is g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**3\/2 + 3*u**2\/2 + 6*u. Let x(k) = -k + 126. Let d(l) = 2*l - 277. Let w(g) = 5*d(g) + 11*x(g). Determine -v(y) + 2*w(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4\/5 (b) 301 (c) -5\/3 (d) -0.3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69626 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: Which is the nearest to 0.14? (a) -2\/3 (b) 0.3 (c) 0.7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(720\/75))\/(28\/(-24))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42634930?\nAnswer: 2, 5, 13, 29, 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 - 2*t**2 + 15 - 4*t**2 + 5 + t. Give p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394 - 75. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 - 3*h**2)*((3 - 5 + 0)*(0*h + h - 3*h) + 5 - 5 - h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*b - b**2 - 290*b + 83*b - 5*b**3 - 206 + 101*b as k*b**2 + g*b**3 + h*b + x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(500)*-4)**2 + 5*((sqrt(35) - sqrt(140)\/sqrt(4))\/sqrt(7))**2.\nAnswer: 200000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (sqrt(847) + 0 + sqrt(847) + -4)*-5 + 5*(((sqrt(847) - -2*sqrt(847)) + sqrt(847) - sqrt(847)) + -5))*5)**2.\nAnswer: -19250*sqrt(7) + 530600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -46. What is the derivative of 5 + 6*i**2 + 4*i**o - 4*i**2 - 2*i**2 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**3 - 6*o**2 - 6*o + 3. Let q(r) = 8*r**3 - 5*r**2 - 5*r + 4. Calculate 5*m(w) - 6*q(w).\nAnswer: -3*w**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 + 19*q - 122. Let x be b(12). Is x at most -471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 - -4. Let s = 1.5 - 1. Let h = -0.9 - -0.6. Sort h, s, g in increasing order.\nAnswer: h, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 514, 12, 3, -4, 6 in increasing order.\nAnswer: -4, 3, 6, 12, 24, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303613 (base 9) to base 10.\nAnswer: -179832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1377) - (sqrt(1377) + 1))*5)**2 + (3 + 0 + sqrt(17) - (0 + sqrt(17))*-4) + -5.\nAnswer: -102 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -368145.\nAnswer: -1840725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 233, 261, 285, 299, 297, 273?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4182336 litres to millilitres.\nAnswer: 418.2336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -24054?\nAnswer: 24115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {t: 2, q: 5, f: 12}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7490 = 15085. Suppose -3*w - 5*v - 6686 = j, -4*w - 18919 = -3*v. Let g = w - -47409\/10. Calculate the common denominator of g and 22\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5548712563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*y = 402*y - 1188 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2727 and 1380569.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2104990677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and 113232.\nAnswer: 113221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27701573 to the nearest integer?\nAnswer: 5263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.845 - 2.5?\nAnswer: 728.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1493 = -10*h + 2217. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -0.405747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*y + 43 + y - 41 in the form g + n*y and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 3:39 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 12*w**2 + 7*w - 43. Let f be d(-11). Solve 2*c - 3 = f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tft when three letters picked without replacement from {y: 4, t: 8, f: 8}?\nAnswer: 56\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*t - 108 = 0, 8*b - 3*t = 9*b - 105. What is the remainder when b is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-127116)\/856*(-16)\/2640.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10204357.\nAnswer: 1907, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(150) + sqrt(6)) + sqrt(18)\/sqrt(3)*-2)\/((sqrt(242)*-1 - sqrt(242))*-3*5).\nAnswer: -2*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/4*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -971 + 2*x - x + 986. Suppose -u - 10 = -6*i + 2*i, -2*u - 20 = -i. Calculate j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:59 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 48. Suppose -o*n - 62 = -4*s, 0 = 2*s + s - 4*n - 43. Suppose -s*z = -21*z + 96. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/(7\/(-2)). Suppose -4*i = p + 3*p + 8, -4*i - 5*p - 11 = 0. What is the closest to 1 in i, x, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -7 + 7\/1. Let y be (-2)\/(3\/(-96)*2). Sort -4, d, y, 2 in ascending order.\nAnswer: -4, 2, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 - 15 - 4*f**3 + 10*f**3 as w*f**3 + v + c*f + q*f**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 42780144*f**2 - 114383837821428*f + 228767504522312.\nAnswer: -4*(f - 5347517)**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 647599*a**3 - 136*a - 1731?\nAnswer: 3885594*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -39*i**3 + 5*i**2 - i + 7. Let t(j) = 408*j**3 - 51*j**2 + 12*j - 72. Let h(g) = 21*d(g) + 2*t(g). Let q = 1 + -3. Calculate h(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -52. Suppose 0 = a*t - 46 + 4. Calculate the highest common divisor of 35 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013883601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 587382 + -587360.000288. Let x = -22.039 + 0.039. Let v = x + n. What is v rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (12 - (21 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y + 10. Suppose -10 = 2*f - 4*f, 4*g + 46 = 2*f. Let h be u(g). What is the highest common factor of h and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 1 = 1, 2*t + 7*t = 7*o - 394 + 33 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(117)*4 - sqrt(117))*4)\/(-3*sqrt(27)\/sqrt(3)*-4).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + (29 - 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 82 = -4*j. Suppose 7*o - 309 = j. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 422.357 or 0.2?\nAnswer: 422.357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 968 divided by 121.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 11:49 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 512 + -515. Let i be 4 - (-3 - b) - (-12 - -15). Solve -5*r + 21 = i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59569 is divided by 767?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 42. Let r be 7 - (4\/5)\/((-14)\/h). Sort 3, -5, r in ascending order.\nAnswer: -5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7392 (base 10) to base 7.\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - l + 1 = 0, -5*l = -3*b + 15 + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddfdf. What is prob of sequence fddf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -7. Let z = h - -10. Find the third derivative of 9*n + 3*n**2 - 9*n - 5*n**2 + 4*n**z wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 2.2954?\nAnswer: 2.2954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1072*n + 227. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201883000 to the nearest 1000000.\nAnswer: 202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 3. Let u = 125\/7 + -18. Which is the nearest to -1? (a) 5 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 11. What is g(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 + 16*m**2 + m - 4*m**2 - 356 - 4*m + 4*m.\nAnswer: 3*m**2 + m - 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:38 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*j + 267 = -182*j - 69 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 115\/(-4)*434\/5425*15\/9\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/1063 - 2154\/7441. Let t be 4*((-3)\/30)\/(-1). What is the nearest to t in -10, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255166591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 + 1659*m**3 - 6669*m**2 + 8349*m - 3342 = 0. What is m?\nAnswer: -557, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**3 + 0*z**3 + (8*z + 0*z - 2*z)*(0 + 0 + 2*z**2).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 108226?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 9 = 2*f + h, 0 = -f + 4*h + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38237 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85158 is divided by 835.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:52 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 2\/3*3. Suppose -4 = -d*p, 3*h = 2*h - 3*p + 17. Let y = h - 6. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(30\/8 - 4). What is the smallest common multiple of 57\/6 - 6\/q and 3\/3 - -1*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12f6c7c (base 16) to base 6.\nAnswer: 1550113004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/35 - (-1)\/(15\/36). Suppose u*v = 3*n + 38599997, 5*v + 8*n - 5*n = 96500003. Round v to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + -3 + sqrt(76) + 1 + 6*(sqrt(76) + 2)))**2.\nAnswer: 560*sqrt(19) + 14996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + 122. Is p at least -2\/405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 19856.0607 hours?\nAnswer: 118.1908375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 295244*c + 2066755. What is u(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346663 - 211634. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -575*q**2. Let k(g) = 1 - 29732*g**2 + 29735*g**2 - 1. What is k(h(u))?\nAnswer: 991875*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 593*s - 167*s + 33 + 120*s. Let x be c(8). Is (2\/3)\/(18\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, b: 2, a: 5}. What is prob of sequence boob?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7372 is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3\/3 - 7*n**2\/2 + 3*n - 5. Let v be q(7). Suppose 0 = -v*s - 4 + 16. What is the least common multiple of s and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by 18?\nAnswer: -112\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + 5*d)*(2*d**3 - 3*d**3 + 0*d**3) + 9*d**4 + 8*d**4 - 3*d**4 - 2*d**4 + 3*d**4 + d**4 + 25 - 25 + 2*d**4.\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1875 + -1852. Put 2, j, -2, -4, -5 in increasing order.\nAnswer: -5, -4, -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 81. Let s = q + 26.99. Round s to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.34, 1\/5, 1\/3, 54\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 95\/75 + (-12)\/20. What is the biggest value in y, -1\/4, 0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70126.\nAnswer: 2, 7, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 123 = -y - 27*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Suppose 0 = 3*h - f - 9, 5*f - 7 = u*h - 0*f. Suppose -4*a + 90 = a - 5*o, -43 = -a - h*o. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29092544 and 1499.\nAnswer: -29091045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3121*h**2 - 1613*h**2 - 1529*h**2.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + t. Let l be p(-1). Let a(y) be the second derivative of 0*y**l + 0 + 1\/4*y**4 - 5*y + 0*y**3. Let i(d) = -d. Calculate a(i(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4036, -4009, -3962, -3889, -3784?\nAnswer: -3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a - 80 + 80)*(-3*a**2 + 3*a**2 + 2*a**3) - a**4 + 0*a**4 + 0*a**4.\nAnswer: -19*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 1. Suppose 0 = 5*a + 20 + 10. Let f = a - -3. Let i(q) = -4*q + 4. Calculate f*n(b) + i(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (95*54\/5)\/2. Suppose 130 = 4*d + 22. Calculate the highest common factor of d and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4. Suppose -10 = -3*d + 5*b, m*b + 22 = 4*d - d. What is the greatest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2544094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 + 27*u - 306. Give i(9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*5)\/((sqrt(16) - sqrt(144))\/sqrt(2)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.819718 rounded to two decimal places?\nAnswer: -12.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9292.9999997953 + 9293. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3052013 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 + 657 = 5*r + 4*x, 0 = -r - 3*x + 81. Let b = r - 84. Let i(s) = -s**2 + 4*s + 1. Calculate i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -39146*k - 3. Let u(b) = 517*b. What is u(s(z))?\nAnswer: -20238482*z - 1551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 10 = -4*v + 2*v, 0 = -5*c + 2*v + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 3. Let x be r(3). Let g be 6\/(-4)*30\/(-9). Suppose 10 = -x*t + g*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -34. Suppose t*z = 9*z. Suppose z = 5*s + 4*c - 2237, s + 2*c = c + 447. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5356110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1 in descending order.\nAnswer: 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -10103013310321?\nAnswer: 10103013310321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6479 divided by -5.\nAnswer: 6479\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j**2 - 4*j**3 - 13*j + 2*j**3 + 0*j**3. Let p(x) = 2*x**2 + x**3 - 33049*x + 2*x**2 + 33055*x. Determine 6*o(y) + 13*p(y).\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-30)*h)\/((h**(34\/3)*h)\/h*h*h*h)*(h**(-2\/9)\/h)\/(h**(-9)\/h) assuming h is positive.\nAnswer: h**(-293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9*v - 1)*(-2*v + 7 - 7)*(-1 + 1 + 2 + 0 - 1 + 0 + (1 - 5 + 2)*(0 + 0 - 1) + 1 - 4 + 2 + 1 + 2 - 2) + 2*v**2 + 2*v - 2*v.\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 5*i + 4. Let k be t(3). Calculate the common denominator of -57\/20 and k\/6 + 5\/(-15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22121 (base 3) to base 13.\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2\/9*f**3 - 1\/3*f**2 - 2\/3*f - 73 + 1\/6*f**4. Suppose g(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -27.4. Let n = 1.029 + 8.371. Let m = l - n. Which is the second smallest value? (a) m (b) 2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/140085 and -25\/308187?\nAnswer: 1540935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -12*z + 90. Let w be (-2)\/(-3) - 6015\/z. Does 13 divide w\/(-5) + (-45)\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.058 smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 25850*u + 8. Let k(j) = -128*j. What is k(n(t))?\nAnswer: 128*t**2 + 3308800*t - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 76.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:06 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/3 + 3373*u**4 + 60743*u**3\/3 + 23627*u**2 - 60742*u\/3 - 27000 = 0?\nAnswer: -4, -2, -1, 1, 10125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*m. Let a = m - -1. Let y(l) = -l - 3*l + 3*l + a*l. Determine y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143 - 2*n**3 - 64 - 2*n**2 - 93 - 38 + 19*n + 11*n to r*n + a + k*n**2 + q*n**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5874 - -5875. Sort h, -5\/2, 3\/8, 3, -4 in descending order.\nAnswer: 3, h, 3\/8, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -735 (b) 6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 6.7. Let k = -61 - -61. What is the third biggest value in -0.5, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11944 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29719317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-2)\/x))**(-3\/37))**(2\/51) assuming x is positive.\nAnswer: x**(-8\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40027 (base 15) to base 8\nAnswer: 613451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10589 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 681 and 681?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*w - 224 = 0, 3*k - 133 = w - 0*w. Suppose -2*l = 5*z + l - 115, -4*l + 69 = 3*z. What is the remainder when k is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735278086 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3326341 + 3326341 + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1106 = 5*d - 2*x - 2*x, -2*d + 2*x = 442. Let j = d + 147. List the prime factors of (-592)\/(-10)*j\/(-30).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let r(v) = -22*v**3 - 2*v - 2. Calculate r(q) + 2*s(q).\nAnswer: -22*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -532*t**2 + 387*t**2 - 911*t**2 - 504*t**2 - 603*t**2 to the form u + h*t + f*t**2 and give f.\nAnswer: -2163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6054 (base 15) to base 6.\nAnswer: -234041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from zdpdahaaheedh?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*((sqrt(36) - sqrt(144)\/sqrt(4) - sqrt(36))*-4)\/((sqrt(192) - -1*sqrt(192)) + sqrt(192) + sqrt(192)).\nAnswer: -5 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2. Let m(c) be the second derivative of 28*c + 0 - 15*c**2 + 1\/3*c**3. What is b(m(a))?\nAnswer: 12*a**2 - 360*a + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 15*z - 11*z = 15, 0 = -z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 100110111110 (base 2) to base 15\nAnswer: b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 9. Let z(w) = -4*w - 18. Calculate the remainder when z(-11) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*o - 14, -3*d + 7 = 4*o - 2*d. Let g(w) = w**3 - 7*w**2. Let u be g(7). Suppose o*m = -5*p + 201, u = -3*m - 9. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -23*f. Let z(r) = -8*r + 1. Let c(b) = -3*y(b) + 4*z(b). Determine c(3).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 1745*n + 3510.\nAnswer: -5*(n - 351)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/25 - 10)\/(2410\/(-50))?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 + (-2 - 56\/(-12)). What is the second derivative of 5*b - 3*b**2 + 1 + 8*b**m - 22*b**2 + 2*b wrt b?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - 4, -x - 4*q = -34. Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -25. What is the second smallest value in u, -2, -1\/6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 951 + -837. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256937303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w + 6. Let a(h) = 3 - 1 + 7*h - 3*h. Let v(d) be the first derivative of -7*d**2\/2 - 3*d + 16. Calculate w*v(y) - 5*a(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2\/23525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -23*k - 62*k + 60 + 41*k - 28*k - 30*k**2 + k**3. List the prime factors of h(33).\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15438558 by 3.\nAnswer: -5146186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 4*g**2 + 2*g + 2. Let n be w(-3). Let z = n + 27. Let q(r) = r**2 - 16*r + 32. Let y be q(14). Sort -4, y, z in descending order.\nAnswer: z, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 37, -6, 5, -25?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 18 + 115 + 10*g**3.\nAnswer: 10*g**3 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 4, -588, -1774, -3752, -6720, -10876?\nAnswer: -16418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.407008l?\nAnswer: 5407.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23485 and 27328?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-144)*-4*(13 + -43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 8. Let o be t(9). Suppose -4*k = -13 + o. Suppose k*z + 6 + 20 = -5*p, -z - 5*p - 22 = 0. Which is greater: z or -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r + 7. Let n(t) = t**3 - 5*t**2 + t - 4. Let g be n(5). Suppose -g - 5 = -o. Let j(f) = -f - 1. Determine o*j(k) + d(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2222*b**2 - b. Let a(f) = 2*f. Calculate a(i(r)).\nAnswer: -4444*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 o when four letters picked without replacement from hzrzrrorhzhzrzhhr.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 18 + 15)*(-2*d + d + 0*d - 1 - d + 1 + (0 - 2 + 0)*(0 + 0 - 2*d) - d + 3*d + 0*d)*(2*d + 0*d + 0*d) as t*d + g*d**2 + n and give g.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6260 is divided by 232.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267869 less than 1?\nAnswer: -4267868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((9 - -4) + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -54, -40, -10, 42, 122, 236?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ozozzz?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000308866466 to 7 decimal places.\nAnswer: 0.0000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2354 = -9*y - 5. Let q = -150 + y. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/44)\/(-7)*(-656 + 655)?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-101 + 105)*(-2)\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + l)*(6 + 1253*l**2 - 1282*l**2 + 5).\nAnswer: 58*l**3 - 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10697 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 52 and 1926 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxxg. What is prob of picking 1 t and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -315.4 + 290. Let i = -23 - s. Round i to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.935596 centuries to millennia.\nAnswer: 0.9935596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*m + 120 + 1122. Solve -22 + m = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + 3*(1 + sqrt(363))*3 + 1.\nAnswer: 12 + 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4731, -0.26, -0.5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5457*v - 381940 = 12429*v - 1155832 for v.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k + 26*k. Solve -4*z + 9*z = -4*v + 36, 2*v - 2*z = k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-45)\/10)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482543?\nAnswer: 19, 109, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 30827?\nAnswer: 30818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 584*k**2\/3 + 1420*k\/3 - 136 = 0.\nAnswer: -51, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 12*n**2 - 18*n - 12. Suppose 0 = -4*s + 5*v + 50, 0 = -4*s - s + v + 52. Calculate j(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2414 - -53133\/22. Let q = 9663 + -599067\/62. What is the common denominator of a and q?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(209) - (sqrt(209) - -2*sqrt(209)))\/sqrt(11).\nAnswer: -2*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5282\/15 - (-4)\/6*(-38)\/190. What is the highest common divisor of z and 748?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, -1, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1687 - -1491.5313. What is p rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/7 and -40\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1864 rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, 13, -1, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1.2, 4, 5, -99, 0.5 in increasing order.\nAnswer: -99, -5, 0.5, 1.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60914\/5320 + -15 + 4)\/(48\/(-5)).\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 2. Let s(q) = -2*q + 5. Let n(m) = 2*s(m) + 5*x(m). Let p(g) = 6*g - 6*g - g**2. What is n(p(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**7\/2940 + v**6\/420 - v**4\/21 + 4*v**3\/3 + v**2. Let s(l) be the first derivative of w(l). Factor s(r).\nAnswer: 2*(r - 1)*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -0.3 (b) -236 (c) -0.01 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 + 9*u**2 - 7*u - 5. Let q(l) be the first derivative of -l**4\/4 + 4*l**3\/3 - 3*l**2\/2 - 2*l - 14. What is 2*j(c) - 5*q(c)?\nAnswer: -c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + i - i - 2*i**2 + 2*i**2 + 2*i**2 - 6*i**2 + 3*i**2 + i**2 + (2 + i - 2)*(0*i + 0*i - i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4167?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 4*k. Solve z - 4*g + 8 = 0, z - k*g + 1 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 - 1. Let c be f(4). Let k = 14 + -119. Calculate the remainder when (c + k\/(-6))*2 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 7. Let f(x) = 7*x + 13. Let g(l) = 6*f(l) + 11*k(l). Let s = -2 - -3. List the prime factors of g(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -764 + 763.999689. What is t rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 979, 7428, 24819, 58594, 114195?\n\"Answer: 907*t**3 + 29*t**2 + 13*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-198) + 291*(-1)\/(-189).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4554 and 511038?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - 0.4. Let c = -0.4 + -1.6. Let x = c - b. What is the closest to -1 in 2\/13, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:44 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -888.\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.45401, 0.2, 7, 0.02 in ascending order.\nAnswer: -0.45401, 0.02, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 9:39 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5011601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3331*x**6 - 570*x**2 - 3*x.\nAnswer: -399720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 4*r - 5. Let k(t) be the second derivative of -7\/6*t**3 - 9*t - 9\/2*t**2 + 0 + 1\/4*t**4. What is 7*j(v) - 4*k(v)?\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 12. Let f be ((-8)\/(8\/5))\/((-15)\/6). Let k be a(f). Suppose -2*n = 4*u + u - 22, 3*u = 2*n + 10. Sort k, n, -5, 5.\nAnswer: -5, n, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8441 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 7) in base 6?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 12*b = 30, 5*y - 149152 = 3*b. List the prime factors of y.\nAnswer: 2, 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8*-4*(-4)\/(-2). Suppose 18*y + o = 19*y. Let c be (y\/(-11) + 209\/484)*-4. Let d(r) = -3*r**2. What is d(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1592 and 37745524.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90266 divided by 4?\nAnswer: -45133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/6 - 2\/(-4). Let h = w + 5. Let q be 975*((-403)\/(-3) + h). Round q to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -20\/3*j**3 - 1\/15*j**6 - 7*j - 3*j**4 - 7\/10*j**5 - 8*j**2 + 0. Factor l(a).\nAnswer: -2*(a + 1)*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1885689991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21225 + -1a72?\nAnswer: 1a263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {n: 4, u: 4, d: 6, k: 2, r: 1, b: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1560.051 litres to millilitres.\nAnswer: 1560051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 16 = 67. Let q = 110 + k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*j + 15*c**3*n**2 + c**3*n - 2*c**2*j*n**2 + 3*c*j - 698*c with respect to n.\nAnswer: 30*c**3*n + c**3 - 4*c**2*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 243 = -3*u, 0 = -4*u - 0*u - s + 324. What is the least common multiple of u and 2412?\nAnswer: 21708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 238106, 476226, 714334, 952424, 1190490, 1428526?\n\"Answer: -b**3 + 238127*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13823731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 26*p**3 + 648*p**2 - 23*p + 680. Determine h(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 678433 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 2*p + 8*m, -5*p + 12 = -3*m - 80. Let x(s) = s**2 - 2*s - 4. What is the lowest common multiple of p and x(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h. Let b be ((-5)\/10)\/((-3)\/30). Suppose -3*a + 0*a = d - 2, -a = -b*d - 22. Let f(z) = 105*z - 105*z + z**a. What is x(f(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let w(o) be the third derivative of 0*o - 5*o**2 - 1\/3*o**3 + 1\/4*o**4 + 1\/20*o**5 + 0. Calculate -6*p(h) - w(h).\nAnswer: -3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Let v be 0 - 0 - (-25)\/(-5). Let g = -5 - v. Let q(b) = b + g*b + b. Determine s(q(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 44*w**5 - 2362*w**4 - 11552*w**3 + 28504*w**2 + 136416*w = 0?\nAnswer: -4, -42\/11, 0, 7\/2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*b + 9, 4*w + b - 3 = 2*b. Suppose 4*p + w + 8 = 0. Is -1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**0\/d)\/d*d)\/d)\/d)\/(d*d\/(d*d**(-8)))*(d*d**7)\/(((d*d*d**(-8))\/d*d*d)\/d) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*48603\nAnswer: 14580.9","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Let c = 6 - 4. Suppose c*s + 5*g = 2, 0 = 3*s + 2*s - 5*g - 5. What is the derivative of 2 + s + 2*u**4 + 1 wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -15, 1\/2, 0.4 in increasing order.\nAnswer: -15, -1\/4, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 545*x + 14. Let i(d) = -d - 15. Give -2*i(l) - 2*s(l).\nAnswer: -1088*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 - 7 + 0*c**2 - 2*c - 5*c**2. Let b be h(6). Suppose 5*g + b = 2*d - 1, -g = -4. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(770\/(-20)) - 40\/(-154). Let -6\/11*s**2 + a*s + 2\/11*s**3 - 2\/11 = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4 + 3 + l + 2*l + 31*l**3 - l**2 - 30*l**3. Let i be d(2). Suppose 5*g - i*g = -176. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69310 plus -109468?\nAnswer: -40158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((525\/18)\/(-25))\/(9\/((-162)\/15))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 17b?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*7 + 0)*4 is divided by -4*1\/(-12)*(43 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/45)\/((-8)\/12)*-15. Solve t*p = -f + 12, -7 = -5*f + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(2\/7))\/(q\/q**(1\/4)))\/((q*q\/(q\/q**(-3))*q*q)\/q**(-1))*(q**5*q*q**(-2\/3)*q*q)\/(q**1)**(-15) assuming q is positive.\nAnswer: q**(1921\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.200701 to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*h - 15, -5 = v + 3*h - 6*h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*3)\/sqrt(10).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-432140)\/(-51) + -21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10450 - -10449.9138. What is p rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 117 and 35006.\nAnswer: 35123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*3)\/(18\/12). Let p = j + -3. Let n = 9341 - 9340.97. Which is the second biggest value? (a) 1 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3 + 48. Suppose z - 3 + 1 = 0. Let x(c) = 0*c**2 - 5*c**2 + c**z. What is x(u(p))?\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -136326216 divided by -6\nAnswer: 22721036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 29*z**2 + 28*z + 10. Determine g(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*(m*m**(-3)\/m*m)\/m)\/m))**(-41))**(-35) assuming m is positive.\nAnswer: m**5740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243784 is divided by 621834.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3085*x - 2937*x - 1874 = 790 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.7 (c) -2\/157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 13. Suppose 5*h + b = 2*h. List the prime factors of (8\/(-3))\/(h\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7540\/30 + 1\/(3*-1).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 6*l = 2*y - 494, 5*y + 5*l = 1250. Suppose y - 16 = w + 3*m, 0 = 2*w - 3*m - 427. Calculate the remainder when w is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 6*l - 5*l - 9*l. Solve -p = -4*b - 10, -4*p - 4*b + 10 = l for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12855)\/(-11141)*234\/(-6)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-909)\/(-1010))\/(6\/10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrfdrrfrrffruf. Give prob of picking 1 f and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -282.42 + 287. Let z = h - -4.42. Let n = -2 - -6. Is n less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*h + 6, 7*h - s = 12*h - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 7*r**2 + 17*r + 12. Let a be m(9). Suppose -3*o + 2*h + 39 = -a*h, -h - 51 = -3*o. What is the lowest common multiple of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0287164 milliseconds in seconds?\nAnswer: 0.0000287164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 n when four letters picked without replacement from {p: 3, o: 3, k: 3, n: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 2*d**2 - 3*d**2)*(0 + 1 + 0 + (0 + 6 - 4)*(-2 + 1 + 2) - 1 - 2 - 4).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 13. Let n be (-4)\/(-18) - (-188)\/(-36). Suppose 6*m - 10 = m. Put q, n, m in increasing order.\nAnswer: n, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 52*b + 50*b = 13, -4*b - 16 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 137. Sort o, -5, -1, 9 in ascending order.\nAnswer: -5, -1, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 2*v**3 - 3*v**2)*(v - v + 3*v) + 4*v**2 + v**4 - 4*v**2 + (v**3 + 2 - 2)*(3*v - 2 + 2).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/5)\/(5\/100). Solve -2*g - 12 = -2*o, 0*o + 5*g = 3*o - f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-0.05\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + p - 108 = -129, -3*p - 18 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 177. Let x = 95 - l. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-50))\/(4\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 0.1, 8\/3, 48?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 14623*n - 73153. Determine q(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -55*n**4\/2 + n**2\/2 - 20*n + 340. What is the second derivative of k(h) wrt h?\nAnswer: -660*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**41*a**(-5)\/a**(-4))\/((a*a\/(a\/a**(-2\/3)))**(-8)*a*a**4*a**5) assuming a is positive.\nAnswer: a**(-148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 525 + 943 + 407. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 95*q**2 - 341*q + 54. What is h(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3379\/4 - 840. Let t(q) = q**3 - 2*q + 1. Let h be t(3). What is the common denominator of (-92)\/h*3\/(-6) and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 235172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55748.6 microseconds to milliseconds.\nAnswer: 55.7486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443771773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 - 6*k. Let t be (-24)\/(-36) + 26\/6. Give f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 27*y - 11. Suppose -170 = -5*c - 45. What is the remainder when u(5) is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(sqrt(1100)*1)**2 + sqrt(1100) + 0 + sqrt(1100) + -3).\nAnswer: -19782 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 12*n - 1. Let s = 17 + -16. Calculate i(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(2*c - 4*c + 4*c) + 134 - 3*c + 19 - 10 - 176 + 9*c to y + o*c and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 - n**2 - 10*n**2 - 12*n**2 + 0*n**2.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (50\/(11 + -1))\/(1\/3). Suppose -p*s - 2939 = -5*d - 13*s, 0 = 4*s + 8. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d**2 + d - 2. Let p be r(2). Let z = p + 63. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6 - 18*u - u**2 - u + 14*u. What is the remainder when 39 is divided by c(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 43396603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - (-330)\/44 - -7*(-1)\/(-6). What is the closest to 1 in 338, 1\/5, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 3120.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2 - 10*w - 9. Let i be l(-3). Suppose 4*b - i = -15, 3*u = -3*b - 9. Solve -4*f = -u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 85*z**4\/4 + 3*z**2\/2 + 173*z + 1085. Differentiate t(w) with respect to w.\nAnswer: 255*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 192*j**2 + 46967613*j - 733869 = 0?\nAnswer: -244623, 1\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1137\/15 + 12\/60. Let f = m + -76. Which is bigger: -13\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*l + 9 = -0*t, 0 = -t + 2*l - 6. Suppose t*d - 14 = -2*d. Let p be (63*-2)\/(11 + -13). Calculate the highest common divisor of p and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - -3 - (-17 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*c + 918*c - 529*c + 829*c.\nAnswer: 1342*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*k**5*n + 4*k**4 + 7*k**2*n + 6*k**2 + 4*n wrt k?\nAnswer: 9900*k**2*n + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*v = 22*v - 6720. Let u = -63 + 69. Calculate the lowest common multiple of v and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 508 and 55874666.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24617252 - 97262761756\/3951. Let g = 2\/439 - w. Which is the nearest to g? (a) -3\/4 (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 17. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/(-9)*72\/80. Let c(o) = o**2 + 4*o + 3. Give c(b).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*v - 5. Let m be (v + -14)*(-10)\/(-4). What is the common denominator of 139\/6 and (0 - m)\/(6\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 15625*j\/4 + 7813\/2.\nAnswer: -(j - 15626)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-15)\/90)\/(3\/18*-3)*-9\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 550727 or 550665?\nAnswer: 550665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -97*o + 629 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420 + -432. Let o(n) = n**3 + 11*n**2 - 20*n - 45. What is the units digit of o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 17*w**2 - 3*w + 2*w to y*w + g*w**2 + z and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -22330.7 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 60226873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 426.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 7. Let m(x) = -3*x + 8. Let f(k) = -4*m(k) - 5*w(k). Calculate f(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 51470347.485235?\nAnswer: 51470343.485235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*w**4 - 243478*w**3 + 67682832*w wrt w.\nAnswer: 672*w**2 - 1460868*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -102012020010212?\nAnswer: 102012020011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*p + 125*p - 307*p = 34*p - 38220 for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.37 times -0.2236?\nAnswer: -3.213132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223823104 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-75))\/((-71)\/(-1775))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/7*84\/138*(-989)\/(-172).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sevenths of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1121*x**2 + 9 + 1071*x**2 + 156*x - 2190*x**2 in the form l*x + d + m*x**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-13))\/4 + (-392)\/(-182). Solve 3*q + s*a + 12 = 30, -16 = -q - 4*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y**2 - 55*y + 4. Let r be s(-5). Suppose 0 = 45*v - r*v + 36. Solve 0*k + 1\/5*k**v + 4\/5*k**3 + 4\/5*k**2 + 0 = 0 for k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i. Let o(m) = -3*m. Let v(h) = 5*h. Let n(b) = -8*o(b) - 5*v(b). What is n(k(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05074 to 3 dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 89480 = -5*t, 242*t - 17875 = 241*t - 4*m. Does 90 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nvvsssinsiicci?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*c**5 - 4128256*c**3 - 737695*c**2 - 30?\nAnswer: -3180*c**2 - 24769536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 117 = 10*h. Let b(s) = -7*s**6 + 27*s**2. Let m(n) = 2*n**6 + n**2. Let p(v) = h*b(v) - 3*m(v). What is the third derivative of p(g) wrt g?\nAnswer: -3240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9078285451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - 33*z + 17*z as l*z + w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, 3, 12, 25, 42?\n\"Answer: 2*f**2 - f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437, -435, -431, -425, -417, -407?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6*1513\/(-1602)*(-1)\/((-1)\/(-12))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 927397008 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {x: 1, v: 2, k: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 844\/41? (a) -3 (b) -0.16 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 - n**4\/6 - 11*n**3\/6 - 3*n**2\/2 + 5*n. Is b(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310728?\nAnswer: 2, 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18\/257 + -1321\/514. Which is the nearest to 121? (a) 1 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5\/8 + 45*k**4\/4 - 2625*k**3\/2 - 45*k**2 + 5244*k = 0.\nAnswer: -76, -2, 0, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**5 + 13*o**4 - 9*o**3 - 113*o**2 + 64*o + 156 = 0?\nAnswer: -13, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4) - 1\/2. Let o be (1\/12)\/(1\/k). Let p = 5 - 3. What is the closest to 0 in o, p, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**3*l**2*r + 124940*c**3*r**2 + c**2 - c*l**2*r**2 - 168*c*l**2*r + 2*c*l*r + 2*c*l - 2*l**2 wrt r.\nAnswer: 249880*c**3 - 2*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -33 in decreasing order.\nAnswer: 3, 2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 1. Let o be -4 + 2 - 7\/(-1). Let r(w) be the third derivative of w**4\/24 + w**3\/3 - 3*w**2. Let p(a) = 3*a + 4. Determine o*r(m) + u*p(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.419235 milligrams in kilograms?\nAnswer: 0.000006419235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43546.14 years in decades?\nAnswer: 4354.614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvccrvcrcccc. Give prob of picking 2 r.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 33) + 192\/14 + 3138\/(-42).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 5*z**2 - 2*z + 4. Let b be w(5). Let h = 3 + b. Let t(n) = -n**2 - 1. Let r(m) = -m**3 + m**2 + m + 3. Let o(v) = -r(v) - 3*t(v). Give o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(5) - (sqrt(5) - (sqrt(320) - (-2*sqrt(320) + sqrt(320))) - sqrt(5))) + (sqrt(605) + 0 - ((sqrt(120)\/sqrt(3))\/sqrt(8) - sqrt(5))))*-3)**2.\nAnswer: 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 691012.4684?\nAnswer: -691012.1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 19 - 3)*(-3*o**2 + 2*o**2 + 2*o**2)*(0*o**3 + 0*o**3 + o**3).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**4\/18 + 986*u**3\/27 - 20336*u**2\/3 + 13448*u - 2590. Factor c(d).\nAnswer: -2*(d - 246)**2*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdqgdqgdp. What is prob of picking 2 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38258430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112955723947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 148 = -58 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2560, 5113, 7666?\n\"Answer: 2553*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*h + 3705 - 825 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -6 - ((5 - 11) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (8 + -4 - (-90)\/(-65)). Let y = -152\/91 - b. What is the nearest to y in 3\/8, -63, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72714 + 11392 = -19022*d + 5716*d + 17576 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -39*d**3 - d. What is g(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 253 = -125. Let s be ((d\/(-36))\/((-16)\/(-24)))\/(-10). What is the second smallest value in 26\/5, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 0\/(-3 + 1). Let i be -2*(-11)\/(-26) - p. Suppose 5*m + 567 - 567 = 0. What is the closest to m in 5, i, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 6*f**3 - 12*f**3 - 4 - 7*f + 1 + 16*f**3 as q*f**2 + t*f + h + d*f**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 346 + 149. Let p = z + -489. Solve -5*d - x = -2*x + p, -3*x + 7 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - c - 15, -18 = i + 4*c. Let m be (i\/(-6))\/(7\/(-21)). Let g(d) = 6*d**3 + d**2 - 2*d + 1. Calculate g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/4)\/((-7)\/28). Suppose 0 = -s - 2*c - c + 18, c = n*s - 24. Solve -4*o - s = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11 < 0.0605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -14 + (9 - 25) + 4 + -1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*z = 907*z - 10584 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9*(34\/10 + -4). Which is the smallest value? (a) -6 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnjg when four letters picked without replacement from {n: 1, j: 1, o: 1, z: 1, q: 1, g: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 825*g**2 + g - 2. Let d be j(2). Suppose 0 = -3*v - 0*v - d. What is v rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtthghhthtcgwx. What is prob of picking 1 h, 1 t, and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 + 25 = 0. Suppose -3*m + b*m - 16 = 0. Solve 0 = -k - m - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 1 y when three letters picked without replacement from {k: 1, d: 2, p: 1, w: 3, y: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2183 - 641 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4 + 832*m**3 + 1309*m**2 wrt m?\nAnswer: -24*m + 4992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:45 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -21, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3641352 and 217\/8580.\nAnswer: 18206760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -626953480 divided by 7976?\nAnswer: -78605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 40*t**2 + 33*t**2 - 78*t**2 to u*t**2 + i + q*t and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -26. Suppose -4*k + 56 = -t*p + p, 4*k = p + 48. Solve 0 = -3*h + 2*b - k, h - 2*h + 5*b = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -280*j - 3252 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -19*q**3 - q**2. Suppose -k + 3 = 4. Suppose t = -s + 7 + 8, -4*t + 39 = -3*s. What is the least common multiple of z(k) and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1\/2 (c) 17 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 200 = -9*l. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let z be 2\/3*(y + 2). Suppose c + 2*d + 30 = 2*c, z*c + 4*d - 96 = 0. What is the greatest common divisor of 78 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820501841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87963664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 15426133?\nAnswer: 15426146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.29 - -2.71. Let v = -54 - r. Let i = v + 56.9999889. Round i to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 + 18*w**2 + 17*w - 23. Let i(q) = -3*q**3 + 12*q**2 + 11*q - 15. Let g(f) = 8*i(f) - 5*r(f). What is g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.2. Let z = 0.021 + 2.879. Let t = z - 3. Do t and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88534.71 kilometers?\nAnswer: 88534710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2041 (base 6) to base 2\nAnswer: 111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = -4*q + 194, -3*q + 4*a = -148. Suppose -z = n - 3*z - 10, -4*n + 4*z + q = 0. Let o = 11 - n. Let y(v) = -v**2 - 2*v - 4. Determine y(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10947\/7 + -1561. Find the common denominator of k and -101\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-6)*3\/2. Let o(n) = n**3 + 4*n**2 - n - 5. Let d be o(-4). Let c(g) = g**2 - 1. Let h be c(d). Solve h = -0*a + 4*a + z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -321 and 66205?\nAnswer: -21251805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k + 16 - 16)*(-5 + 5 - 1)*(0*k - 2*k + k)*(4*k**2 - 5*k**2 + 3*k**2) to the form l*k**2 + b*k**4 + p*k**3 + t*k + x and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(117)) + sqrt(117) - (sqrt(117) + -1 + -3) - (sqrt(117) + (3 + sqrt(117) + sqrt(117))*6 + -5))**2 + -4.\nAnswer: 2394*sqrt(13) + 42674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14e14 (base 15) to base 7.\nAnswer: -400123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*q - 4351, -4*q - 2*j = -4*j - 3476. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (39 - 6) - (4 - (-5 - 58))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = 0, -2*j + 5*j + 34 = 4*h. Suppose -h*b + 16 + 4 = 0. Sort b, -5, -2 in decreasing order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 21 + 83)*(2 - 2 - 3)*(-4*y + y + 5*y).\nAnswer: -636*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p + 1. Let j = 101 + -173. Let z be 8\/j*3*1. Sort z, p, -3\/5 in ascending order.\nAnswer: p, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (45\/2)\/(5\/280*4)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 861902 and 230.\nAnswer: 4309510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -1346*h**6\/3 - h**3\/3 - 5847*h**2\/2 - 7003. Find the third derivative of m(c) wrt c.\nAnswer: -161520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81485, 162965, 244431, 325877, 407297, 488685?\nAnswer: 570035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -12, 3.\nAnswer: -12, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16*g. Let p(m) = -5*m - 5*m + 12*m. Determine f(p(w)).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*k. Let g(i) = i + 1. Let x be g(0). Suppose -3*y - x = -19. Solve -2*r + 3*z - y = -0*r, 0 = 5*r - k*z + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(153) + 1 + -1)**2*-6 - (sqrt(204)\/(sqrt(24)\/sqrt(6)) - sqrt(51))\/(-5*sqrt(27)).\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 1. What is the remainder when k is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**4 + 15*x**4 - x**2 + 2*x**3 - 2*x**3 wrt x.\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 12 = -7*f - 6, 5*f + 2*i - 6*i + 10 = i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5361*i**3 + 3*i**2 - 2407. Let g(o) = -5*o**3 - o**2 + 7. Let h(k) = g(k) + z(k). Find the third derivative of h(m) wrt m.\nAnswer: 32136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.0366l to millilitres.\nAnswer: 7036.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 2\/19 (c) -0.59 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/116 (b) -0.1 (c) 6.49 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 733832 and 3639570?\nAnswer: 451306680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4074?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14904568 divided by -56.\nAnswer: -266153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2688102000 rounded to the nearest one million?\nAnswer: -2688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2 = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2)*3 - -4. Let t be (i\/(-2) + 2)*16. Calculate the highest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 11*w + 18. Let y be -21*((-45)\/(-15) - 30\/9). Calculate d(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0326 - 6.0326. What is the third biggest value in f, 2\/27, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -6566.\nAnswer: -3\/6566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13021 + 13063. Let c = -221\/4 + 55. Put h, c, 2\/9 in descending order.\nAnswer: h, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46263.\nAnswer: 3, 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 3\/154?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-35))\/(3\/(-12) + 66\/(-1848)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4603956 and 70?\nAnswer: 23019780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2995 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 9. Let q be -1 - -1*(-10)\/(-2). Suppose c + 0*c = q. Calculate the lowest common multiple of v and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4228 + 3\/(1 - 2). Is 5\/(-4) - h\/(-20) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**5\/20 - 9*t**4\/2 - 679*t**3\/6 - 2*t - 643. Find the second derivative of i(p) wrt p.\nAnswer: -6*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:04 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Let h = 2 - g. Solve 2*c - 6 = -h*a, 2*c + 3 = a - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.3 + 50. Which is the nearest to q? (a) 1\/6 (b) -5\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -396, -395, -394, -393, -392?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5094975 and 0.5.\nAnswer: -2547487.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**2 + 5\/4*y**4 - 2\/3*y**3 - 1 - y. What is the lowest common multiple of j(1) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/223 not equal to 926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * 91219.\nAnswer: -319266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 1. Let w = -3 + l. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -17*t + 13*t. Let u(b) = -1. Let j(z) = -z + 4. Calculate t*u(y) + j(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65.4 + 66. Let r = 1 - 5. Put 3, 0.3, r, j in descending order.\nAnswer: 3, j, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.043+-505\nAnswer: -505.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.35 and -1086.9.\nAnswer: -380.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1 - 2 + 2 - 2 + (-4 - 2 + 4)*(-4 + 4 + 2))*(-6 + 3 - 1)*(3*l + 4*l - 5*l) to p*l + a and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7041750, -14083510, -21125270, -28167030, -35208790, -42250550?\nAnswer: -49292310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12\/7)*j\/(j\/(j*j**(-12)\/j))*(j\/j**17)\/(j\/j**(-19)))**(4\/11) assuming j is positive.\nAnswer: j**(-1392\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -618 (b) -45 (c) 994\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -30*v**3 + 2*v**2 + v. Let h be t(5). Let x = 1382 - h. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 16. Suppose -i*x + 83 = 23. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 49 - (16 - -4) - 26. Let x(q) be the second derivative of 2\/3*q**p + 0 + 1\/2*q**4 + 1\/10*q**5 + 12*q + 0*q**2. Suppose x(r) = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2357, 4716, 7077, 9440, 11805?\nAnswer: 14172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:12 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7513 - 0.6513. Which is the biggest value? (a) -347 (b) u (c) 2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614, 5208, 17786, 42374, 82998, 143684, 228458, 341346?\nAnswer: 486374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2574857 to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-12 + (-8)\/2). Let d be 14\/6 + (-5)\/t. Let o be (598 + d)*445\/3. Round o to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (58\/4 + 1)\/(4\/(-8)). Let c = n - -36. Suppose 2*t = c*w - 21 - 439, 4*w + 4*t = 340. What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438909 by -182.\nAnswer: 438909\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 3, -68, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + 4?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 2 - 2755\/725. Let l be 2 + 20\/(-4) + -2. Is h smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -25 - 0)\/((-40)\/30)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**5 + 0*i**5 + i**5 - 2*i**5 + 0*i**5 - 2*i**2 - i**5 + (-i**4 + 0*i**4 + 2*i**4)*(2*i + 0*i - i).\nAnswer: -7*i**5 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 737 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 4*h**2 + 10*h - 35. Give p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngn when three letters picked without replacement from {g: 5, n: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/2)\/((-1)\/(-1)). Let g be (2 + -4 + 2)\/3. Suppose 2*a - 3 = 3*w - 15, -j*a = g. Solve 0*t + t - w = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2\/7 - 22*f\/7 - 8\/7.\nAnswer: 2*(f - 4)*(3*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 0*v)*((-4 - 2 + 2)*(-2 + 0 + 4) + (-4 - 3 + 5)*(-1 + 3 - 1)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**2 - p. What is the lowest common multiple of 16 and x(2)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998 is divided by 141?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 832793544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/5 - 119533*s**3\/5 + 2151886*s**2\/5 - 3825632*s\/5 = 0?\nAnswer: -119551, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8090487787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 860 and 1935?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282266955?\nAnswer: 3, 5, 257, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -32*56*(-2304)\/56. Let r = 47088 - q. Round r to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1013, -1017, -1019, -1019?\n\"Answer: k**2 - 7*k - 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -698, -12, -4, 4, 24, -3, 2 in increasing order.\nAnswer: -698, -12, -4, -3, 2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 a, and 1 s when four letters picked without replacement from xbxiiabstxaisx?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39257663214 + -39257544023.950047. Let z = g - 119198.25. Let d = z - -8.2. What is d rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -731 + 730.9427. Round t to three decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24116 = 1814*x + 5546 + 35642 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-7) - 16\/56. Suppose 3*c + 151 = -4*h - 0*c, -h - t*c = 31. Let y = 56 + h. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1719 + -1714. Sort -24, f, -1 in increasing order.\nAnswer: -24, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-33\/5))\/k)\/k)\/(((k**25*k*k)\/k)\/k)*(k\/(k*k\/k**5*k))**(4\/9))**(-2\/45) assuming k is positive.\nAnswer: k**(938\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 plus -0.07?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-516)\/672 - 9) + (0 - 4191\/(-42))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -19 - (0 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3*c*c\/(c*c*c**3\/c))\/((c*c**(2\/7))\/c**(-1\/10)) assuming c is positive.\nAnswer: c**(43\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*3\/4 - 12*3\/(-6) - -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*a*g**2*j**3 + 1903*a*g*j**3 - 3*a*j**3 - 188*g**2*j**3 - 2*g*j**2 wrt g?\nAnswer: -396*a*j**3 - 376*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 752, -27051, 5 in ascending order.\nAnswer: -27051, -3, 4, 5, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10*d**3 + 6 - 30*d**2.\nAnswer: 10*d**3 - 30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2. Let v(h) = 14840623*h. Give x(v(z)).\nAnswer: -440488182056258*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(19\/4) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249.726 - 250. Let s = 0.474 + z. Which is the nearest to -0.2? (a) 0.5 (b) s (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12230276 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: Calculate the smallest common multiple of 1668 and 60.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75, -133, -209, -309, -439, -605?\n\"Answer: -j**3 - 3*j**2 - 42*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011349046 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 - 17.6. Let t = v - -15.7. Let x = -0.1 + 0. Which is the closest to x? (a) 3 (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059656 divided by -6?\nAnswer: -343276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.22 - -16. Let i = w + 0.42. Which is the closest to -1? (a) 0.3 (b) 0.03 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 639 + -639. Is -2\/531 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75\/47 (b) -1\/4 (c) 6\/73 (d) 0.02 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.04. Let s = n + -0.36. Sort -3, -5, s.\nAnswer: -5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmyhyihqysi. Give prob of sequence yyq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - 1 - (552 - 589)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.42 + 0.32. Let a = -332 + 330. What is the nearest to -1\/9 in a, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11498.15796 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqmmm. What is prob of picking 2 m and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.06, 1\/18, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 - 6 = s, -2*f + 3*s + 18 = 0. Let v = -16 - -46. Suppose 0 = -4*y + f + v. Solve 2*j + z - y = 0, 4*j - z - 1 = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q + 1352. Calculate the remainder when v(-84) is divided by 117.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1494.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 471*1505\nAnswer: 708855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 31*j - 9. Give x(33).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/7970903?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7) - (-1424)\/(-8099).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 63*z = -59*z - 143, 1 = -5*s + 2*z + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + 1*sqrt(2)*2*-2 + 0)*-5 + 2)**2.\nAnswer: 320*sqrt(2) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.11 and 1.\nAnswer: 16.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h - 1465 = 1820. Calculate the smallest common multiple of h and 345.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3537 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p**5\/3 - 550*p**4\/3 + 332*p**3 - 458*p**2\/3 - 17*p\/3 = 0. What is p?\nAnswer: -1\/29, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 - 831*b\/4 + 843.\nAnswer: -3*(b - 4)*(b + 281)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12127856?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 29. Let j = 19951 - 19946. What is l(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j - 11. Let o be q(1). Solve 0*h - i = 3*h - 1, 5*h = -5*i - o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.2 - -3.8. Let o = -26 + k. Let m = -957 - -958. Which is the nearest to o? (a) -2\/7 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 132 = -3*q, 4*q - m + 154 = m. Suppose -6*l + l = 145. Let n = l - q. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (3 - 5) - -7. Let w(v) = -2*v**2 - 3*v + 4. Let s(c) = -c**2 - 4*c + 5. Let f(k) = h*s(k) - 5*w(k). Find the second derivative of f(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + o - 3. Suppose -2*d - d - 2 = -4*p, 3*p = 3*d. What is the remainder when 26 is divided by g(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 15*b**2 - 17*b + 13. Let w(x) = 9*x**2 - 15*x + 13. What is -3*w(m) + 2*z(m)?\nAnswer: 3*m**2 + 11*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 7*o + 7*o - 396 + 409. Calculate u(-11).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(10)*3)\/((sqrt(50)*-3)\/sqrt(10)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12972926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 - 8*x. List the prime factors of p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.1 + 9.4. Let n = j - 3. Let i = n - 1.3. What is the third biggest value in 0.5, 1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13606338 times 1?\nAnswer: -13606338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f - 6. Let m(l) = 2556 - 5126 + 2561 + 14*l. Calculate 8*g(o) - 5*m(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*v = -v - 20, v = -g + 4. Solve -z - 4*z = -5*w + 5, 0 = g*w - 5*z - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - 4 = 0, 5*b - 2*l = 17. Let y(j) = 4*j**3 + 5 - 2*j + 5*j**2 - 6 + 5 - b*j**3. What is the units digit of y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51957673\/7 < -7422524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 256626360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2120\/3 - 708. What is the third smallest value in -8\/3, -2, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1508 - -1507.993548. What is f rounded to four decimal places?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 2, y: 1, h: 4}. What is prob of sequence hx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -53. Suppose 0*w + 3*w + 5*p = 46, -o*w - 4*p = -32. Is w\/15*(27\/1 - -3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 + 182. Let h = 418\/7 - k. Which is the smallest value? (a) -0.5 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**3 + d. Let a = 96 - 93. Suppose -a*f = 3*f + 330. Let h = 56 + f. Determine l(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -32*s**3 - 17*s**2 - 4*s - 4. Let n(g) = 32*g**3 + 18*g**2 + 3*g + 3. Let u(f) = 3*l(f) + 4*n(f). What is the third derivative of u(z) wrt z?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + 2.4. Which is the third smallest value? (a) t (b) 2\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -552, -1043, -1536, -2031, -2528, -3027?\n\"Answer: -l**2 - 488*l - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245\/(-105) + (-11)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2020.75 + -108982.75.\nAnswer: -106962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, t: 9}. Give prob of sequence ttt.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22781813 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 305, 1025, 2203, 3839, 5933, 8485?\n\"Answer: 229*c**2 + 33*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34472 and 66720.\nAnswer: 2068320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Suppose -x + j*x = 0. Let g = x - -4. Which is the smallest value? (a) -3 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 29.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 209 = 267. List the prime factors of p.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 2234 = -2*l + 3*c + 2231, 0 = 5*l - 2*c + 24 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1141477 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 - k**4 + 3*k**4)*(-1 + 2*k + 1) + 6845*k**4 + 18*k**5 - 6845*k**4 - 209*k**2 + 209*k**2 - 118*k**5.\nAnswer: -96*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 46280923 and 4.\nAnswer: 46280927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1161, 843, 515, 171, -195, -589, -1017, -1485?\nAnswer: -1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(180) + 2 + 2 + -2*sqrt(180) + 5 + 0 + -4))**2*-1.\nAnswer: -1845 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 155\/20 - (-4 + 15\/4). Suppose -13*p + n*p = 10*p. Solve 5*u = -3*y + 26, p = 3*y + 4*u - 14 - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*w - 49. Let v(m) = -13*m + 11. Let f be v(w). Suppose -8*g + 98 = -f. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/((l*l*l\/l**(1\/3))\/l))\/((l*l\/l**(-2\/5))\/l**(-1\/4)) assuming l is positive.\nAnswer: l**(-619\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 972 and 61668.\nAnswer: 555012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12102156 divided by 198.\nAnswer: -61122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (-3 + (-1 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6380 and 42746?\nAnswer: 427460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -39\/4, 3, 25, 0.5, 5 in increasing order.\nAnswer: -39\/4, -2, 0.5, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r**2 - 2*r - 26. Let i be ((-7)\/3)\/(12\/9 - 1). Is 18 a factor of u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/141980 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-594)\/77*21\/(-1). Suppose 11*r + c = 13*r. Let v(m) = 8*m**3 - 2*m**2 - 2. Let q be v(2). Calculate the greatest common divisor of q and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a day in minutes?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3722, -3728, -3730, -3728, -3722?\n\"Answer: 2*w**2 - 12*w - 3712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -91. Suppose 6*h - w*h + 3 = -5*o, -4*o + 2*h - 2 = 0. Solve 4 = 4*v - 2*n - o*n, -2*n + 2 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*o - 94*o - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5687 - -5688. Which is the nearest to -1? (a) 3 (b) g (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4*4\/5)\/((-3182)\/143190)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -3210\/571?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = 2. What is the units digit of (-7 + d)\/(2 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -306669*n - 7. Let c be k(-3). Round c to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 13*y**6\/30 + 9*y**5\/20 - y**3\/3 - 837*y**2\/2 + 429*y - 1. What is the second derivative of n(v) wrt v?\nAnswer: 156*v**2 + 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3*v**3 - c**3 - 7*c**2 + 35*c - 15973*v**3 wrt v.\nAnswer: -6*c**3*v**2 - 47919*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5207*b - 7353?\nAnswer: 5207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7229\/606 - 5\/404. What is the common denominator of s and 89\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/1)\/((-28566)\/(-170910) - (-2)\/(-12)).\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2499, -2511, -2537, -2583, -2655, -2759, -2901?\nAnswer: -3087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*y**2 + 12914*d - 9189*y**2 with respect to d.\nAnswer: -y**2 + 12914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 737 divided by -74.\nAnswer: -737\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -36?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2 + w - 28. What is n(0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6454 + 14022. List the prime factors of j.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 12:48 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 40 - 12. Solve -30*g = -x*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = 4*q - 49, 3*q - 211 = -5*c. What is the first derivative of 25 - 24*d - 17*d - 38*d**4 + c*d wrt d?\nAnswer: -152*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 13*z + l - 3, -3*z + l - 2 = 0. What is the nearest to -2\/11 in 2\/5, z, -0.4, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 0*g + 5 = 3*g + 5, 4*j + 7*g = 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6457 = -3*l - 2453. Let j = 1707 + l. Let w = -5263 - j. What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*g + 23, 2*g + 6*k = 8*k - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/189 - 76\/(-18). Put n, 3, -6 in descending order.\nAnswer: n, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 4, j: 2, x: 7, s: 2}. What is prob of picking 1 x and 2 s?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078890 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -86*s - 2847. Suppose -2*a - 4*z = 14, -4*a + z - 1 = -0*z. Let h = a - s. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 10*a**2 + a + 7. Let w be b(10). Suppose 3*d = w + 16. Suppose -d*c = -0*c - 858. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/6 - u. Let n(q) = q + 2*q - q. What is p(n(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o**2 - 238*o**2 + 5289*o - 5289*o.\nAnswer: -178*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -1 - (-4 - -2). Let i = -23 + 27. Suppose 5*j - 3*f - 14 = k, -i*j = -f - 20 + 6. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -6, -3, 29, 3, 10 in decreasing order.\nAnswer: 29, 10, 3, -3, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16522549081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 1\/4*b**4 + 0*b + 2\/3*b**3 - 1 + 1\/2*b**2. What is x in g(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4014477.3 and 0.5.\nAnswer: 4014477.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 - 78472*i + 78472*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1424485*-0.6.\nAnswer: 854691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2) + (0 - 1). Is 0 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*n - 14. Suppose 0*s = s, 0 = 5*l + n*s - 850. Let k = l - 116. Calculate the greatest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tteteteetlnaal. Give prob of picking 1 a, 1 e, and 2 l.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 36. Suppose 3*p - 4*g + 3 = -2, w*p + 10 = -4*g. Suppose -5*u - 3 = -23. Put 2, u, p in descending order.\nAnswer: u, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 944\/(-8) - 1*-2. Let v = 195 + m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + ((-9)\/(-4))\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*i - 42. Let t = -8 - i. Find the common denominator of -23\/6 and 3*t - (-685)\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15738 and 732.\nAnswer: 31476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r = -20. Let c be (6\/(-1))\/(3 - 4). Let u = c - r. Solve d + u - 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let h = -0.18 + -0.92. Let n = h + 4.1. Sort n, s, 1 in increasing order.\nAnswer: s, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u. Let f(l) = -11*l**2 + 8*l. Let r be (-1)\/((-1)\/(-2)) + -1. Let h(o) = 4*o**2 - 3*o. Let k(v) = r*f(v) - 8*h(v). Give q(k(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244.3 - 244. Sort 2, -3, b in decreasing order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 264*i - 520*i - i**2 + 0*i**2 + 256*i.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 843. Let d(w) = 10*w - 843. Give -2*d(m) - 3*k(m).\nAnswer: m - 843","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93231, -93237, -93243, -93249?\nAnswer: -93255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 11:40 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 189827*s + 2657565. Give f(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 - 36*t**2 - 128*t = 0.\nAnswer: -32, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 2 = 3*l, -2*l = 5*b + 9. Let f(g) = -4*g. Calculate the remainder when 15 is divided by f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90966?\nAnswer: 2, 3, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153825164 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 13*q - 270 = 0. Let d(u) = u**3 + 9*u**2 - 11*u - 11. Calculate d(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Suppose j + 30 = -j + 5*f, 5*f - 45 = p*j. Let c(k) = -k**3 - 5*k**2 + 13*k + 8. Let s be c(j). Which is greater: -2\/3 or s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 16 - 6569*b**2 + 4.\nAnswer: -6569*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43986, 175944, 395874, 703776, 1099650, 1583496?\nAnswer: 2155314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(1\/53)\/(z**(1\/2)\/(z\/(z\/z**5))))\/(z\/(z\/(z\/z**5))*z**4*(z**0)**2) assuming z is positive.\nAnswer: z**(2381\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 = -5*l + 9, 25 = 5*l + 5*i. Let y(m) be the first derivative of -2\/9*m**3 - l + 0*m - 2\/3*m**2. Solve y(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i = -56*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 65. Let t = 44 - i. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 58*z + 240. Determine r(-59).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*z + 11, 4*o - o + 2*z = 5. Let p be 3\/(12\/232) - o. Let w be (p + 1)*(-108)\/45. What is w rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 295*k**2 - 41530*k + 1556520.\nAnswer: 5*(k - 109)*(k - 34)*(k + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3 + 3\/2*q**2 + 3 + 0*q. Find the second derivative of j(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*x - 64*x**3 + 127*x**3 - 64*x**3 to v*x + j + c*x**2 + b*x**3 and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**3\/2 + 2*u. Let z(t) be the third derivative of t**5\/30 + 3*t**2. Determine k(z(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2316\nAnswer: 1\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8536 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 62*m + 7. Let s(o) = -806*o + 3226. Let q be s(4). Calculate k(q).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3581*d + 246999 = 14234 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - r - 26 = 0, -3*r - 2 + 8 = 3*p. Calculate the smallest common multiple of 2550 and p.\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u + 7. Let f(n) = 5*n - 54. Let p be f(12). Give g(p).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 114664*b**4 + 895482?\nAnswer: 458656*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 3*h**2 + 3*h - 2. Let x be n(-4). Suppose 0 = 4*i - 5*f - 33, x*i - 2*f - 20 = -4. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 255 = 17*j - 51*j. What is the least common multiple of j and 231?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*y = 1094 + 586, 59 = 5*x + 3*y - 36 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90, 8, 3, -4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8480 = -3*b, 0 = 2*b - 0*y - 5*y - 5649. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/126)\/(-1*(-210)\/126).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -26*o**3 + o**2 - o - 2. What is a(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15748 + 22074. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/20 - p**4\/2 - 2*p**3\/3 + 2*p**2 + 23*p. Determine k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*k = 594, -k + 6*k + 990 = -5*s. Let h be s\/4*(-16)\/12. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77526653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*w - 3827 - 804 = 55*w - 527 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - -32 - (8 - 15)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + z + 7*z**2 + 2*z**4 - 3 - 9*z**2 - 9*z**3 - 2*z**2 in the form s*z + g*z**3 + n + p*z**2 + i*z**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1680888 and 36.\nAnswer: 5042664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-26))\/((-405)\/(-135))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -51*k**2 + 12*k + 1. Let b(h) = 4*h**2 - 5*h. Give -2*b(r) + d(r).\nAnswer: -59*r**2 + 22*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 - 2*i**2 - 2*i**2)*(-4*i + 2 + 12*i - 21*i) in the form w*i**3 + z + r*i + o*i**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*l**3 + 88*l**2 - 99*l + 109 wrt l?\nAnswer: -1020*l + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -27*t + 643. Give m(29).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115321 is divided by 7099.\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 2 - 2*g + 2*g**2 + 7*g. Let a be i(-2). Suppose -a*r + 65 = -5*v, -r = -2*v - 2 - 15. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1377 * -269.9\nAnswer: 371652.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 9. Suppose v*o + 3 + 3 = 0. Is 6 a factor of (-24)\/(-4)*(5 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 3 - 16*s - 7*s**2 + 6*s**2 - 1. Let f be z(8). Solve 5*w + 4*b - 9 = 0, b + 4 = f*w + 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32679*l**3 - 8*l - 9009 wrt l?\nAnswer: -196074*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 44981\/(-713) + 37?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*27\/240*-5*68\/255.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -3\/2*y**3 + 0 + 17\/15*y**5 - 1\/4*y**4 + 0*y - 33*y**2. List the prime factors of f(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - 4*sqrt(130))*5 + sqrt(130) - sqrt(130))\/sqrt(10)*6 - sqrt(26)\/(-1*sqrt(72) - sqrt(2))*1)**2.\nAnswer: 5143333\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a factor of 11664634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -0.01253209130373.\nAnswer: 0.08746790869627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 57732116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 3. Let m be (-2)\/f - 20524\/12. Round m to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 199.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8854006970 - 875\nAnswer: -8854007845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2537*y - 2543*y = 2*u - 118, 38 = -0*y + 2*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -25*(63\/84)\/(5\/(-4)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 4*t + 60. Suppose 6*c + t = 8*c. What is the smallest value in 0, c, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 301314.3 millilitres?\nAnswer: 301.3143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32340?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264264 and 204204.\nAnswer: 4492488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*g - 22 = 4*g, t - 2*g = -0*t + g for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4576 and -49\/1056?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 4*i + 8 + 3*i + 10. Let k(r) = -r - 1. Let a(q) = 6*k(q) + v(q). Let b be a(6). Let g(h) = h**2 + 7*h + 1. What is g(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2863 - 271864?\nAnswer: -274837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (683 - (4 + 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v - v)*(2*v - 3 + 3) + 1 + 141*v**2 + 65*v**2 - 644*v + 647*v.\nAnswer: 202*v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 294 - 2645\/9. Put 1.4, r, 3\/7 in descending order.\nAnswer: 1.4, 3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -317, -648, -1101, -1682, -2397, -3252?\nAnswer: -4253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -701161 - -3168731\nAnswer: 2467570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-275)\/(-4) - -2)*(-11 - -15). Suppose -b = -11*o - 107. What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -5, -0.1228, 2\/29, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31502564 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 144, 3\/118, 0.15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 6*n + 6. Let o(g) = g. Let t be o(-5). What is the units digit of z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1405?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9085019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7633269 by 44639.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*t + 42*t - 84*t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/10 - 4*l**3\/5 - 8*l**2\/5 - 46. Factor i(x).\nAnswer: -2*x*(x + 2)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 56. Let g = -762 - -745. Determine x(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8034 and 92188296?\nAnswer: 1198447848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 + 2*n**2 - 6*n - 3. What is g(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 55431740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-2 + -2*sqrt(1377) + -3) + -2 + sqrt(1377)*3 + (3 + sqrt(1377) + -3)**2.\nAnswer: -9*sqrt(17) + 1365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/((-11)\/(198\/(-5))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, r: 5, e: 1, j: 1, h: 1}. Give prob of sequence ji.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.1 + -9. Let n = -2.9 - t. Let k be (-52)\/(-40) + (-4)\/5. What is the third biggest value in k, 2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = 32. Let o be (2 + 1)\/(42\/y). Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (725\/15 + -2)\/(2\/18). Suppose 4*b - 5*u = -d, -5*b + 0*u - 2*u - 513 = 0. Let s = 105 + b. Solve 0 = 2*v + s*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*p - 559, -5*k = -p - 0*k + 103. Is p\/6 + (-5)\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27498382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 4 = 18*n. Is (-6 + -1 + -10434)*n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**3 + 2*j**3 + (-358 - 591 - 18)*(-1 + 0 + 0)*(1 + 4 - 3)*(-j**3 - 3 + 3).\nAnswer: -1932*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = -0*p - 4*o, 5*o - 26 = -3*p. Let d be 310\/7 + (-2)\/p. Calculate the highest common divisor of 33 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.26 + 4.74. Let t be (-2 + 4)\/((-2)\/2). Let z be (1 - 3)\/((-11)\/(-22)). What is the closest to t in c, z, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 6*sqrt(396)*2)**2.\nAnswer: 66924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213 - -1110?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oocccccocccc. What is prob of picking 1 c and 1 o?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 6. Let i(k) = k**3 + 4*k**2 - 2*k + 7. Let r be i(-5). Let y be v(r). Suppose 0 = -3*q + 30 + y. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.8 - 5.3. Sort 0.2, -0.01, i.\nAnswer: -0.01, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 119 + 577*k + 94 - 313.\nAnswer: 577*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1886\/69 - 195\/(-117).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110608 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: List the prime factors of 53466.\nAnswer: 2, 3, 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.066, 0.9, -0.2, -5 in descending order.\nAnswer: 3.066, 0.9, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -26, -3, 4 in descending order.\nAnswer: 4, -2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/99 and -34\/423.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuussus. Give prob of picking 1 u and 2 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*r + 435*r - 216*r = 240 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, y: 1, e: 2, n: 1}. What is prob of picking 3 f and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 - i**3 - 231 + 464 - 233.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464584.\nAnswer: 2, 11, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48586 + -48569. Suppose 0*i + 2*i = 0, 4*i = o - 187. Calculate the greatest common divisor of o and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u - 2*v, -u + 3*v + 7 = u. Let s = 4 + -8. Let r = 6 + s. Solve -r*w = 2*t - t + 4, -3*w - 5 = u*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 2 = -30. Suppose -g + j + 52 = 0, z*g - 6*g - 3*j = -187. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -431 + 434. Which is the fourth smallest value? (a) 180 (b) 5\/3 (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*z = 308*z + 616. Suppose -12 = -4*q + q. Solve -p = 1, q*p + z = 2*u - 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197 + 287. Let t = 3 - -15. Calculate the highest common factor of t and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*a - 17 = 0, 0 = 5*w - 66*a + 71*a + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 27030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -798390000 rounded to the nearest one million?\nAnswer: -798000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*m - 6*m - 18*m**2 + 12*m as f*m**2 + h*m + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205 is divided by 589?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 (base 7) in base 9?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1860*i**5 + 1984*i**2 wrt i?\nAnswer: 111600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 - 22 - 22)*(-2*z**3 + 2*z - 2*z) as a*z**2 + t*z**3 + y*z + u and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 - 26*w - 6*w - 275 + 1060 - 492.\nAnswer: -32*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 4*p**2 - 4*p + 8. Let i be v(-5). Let y(n) be the third derivative of 0*n - 5\/108*n**4 + 2\/135*n**5 + 1\/27*n**i + 0 - n**2. Factor y(d).\nAnswer: 2*(d - 1)*(4*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105660442 - 3\nAnswer: 105660439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(((s\/s**(-4\/7))\/s)\/s)*s\/(((s\/(s\/s**(-1\/5)))\/s)\/s) assuming s is positive.\nAnswer: s**(162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 5 - 9)*(-2*x**4 + 2*x**2 - 2*x**2) - 137*x**4 + 5*x**4 - 331*x**4 + 32*x**4.\nAnswer: -301*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 23*v - 25. Let z be i(22). Let w = 43 + z. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5832.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9126757 to the nearest integer?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 18, k: 2}. What is prob of sequence kl?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 20*l + 125. Let u be f(-6). Suppose u*y + 0*h = -h, -4*h = 4*y. Solve y = -2*r + 3*q + 8, 5 + 9 = -3*r - 2*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by 19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*o**2 + 48*o**2 + 19*o**2 + (-o + 0*o + 2*o)*(o - 5*o + 6*o).\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2681\/19 + -141. What is the nearest to 4\/9 in i, 3\/2, -3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/900 and -179\/60.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -8 - -7) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5778, -5770, -5756, -5736, -5710?\n\"Answer: 3*n**2 - n - 5780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/(-3)*8218\/2831101?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 7*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-11))\/z)\/(z\/z**1) assuming z is positive.\nAnswer: z**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/96 and 29\/140?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from {e: 3, t: 1, s: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*-3*sqrt(51)\/sqrt(3)*-6)**2 - (sqrt(85)\/sqrt(5) + 1 - (3 + sqrt(272)))**2) + -4.\nAnswer: -48*sqrt(17) + 550168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 27*w - 2. Let r be g(-1). Let f = -26 - r. Solve -v - 5*c = 1, -f*c + 1 = -5*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h + 8. Let z be w(0). Solve 3*d = d + z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/17312 - 69239\/155808. Which is the nearest to -1\/3? (a) 2 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/2630 and (-118535)\/6575 + (61 - 43).\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.185443 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 0. Let a = -7\/18 + -1\/9. Is w greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-426)\/(-27) + ((-10)\/(-9))\/5. Suppose o*t - 46 = 2. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - -95. Suppose -4*l - l = -h. Let q = l + -25. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m - 15. Solve -3*i - 13 = -n, i = m*i - 2*n + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 + 6*w + 7. Let g be z(7). Let v = 14 + -9. Let x = g + v. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzuu when four letters picked without replacement from {z: 12, u: 6}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/5 + 58*h**2\/5 = 0.\nAnswer: 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a45d (base 15) to base 7.\nAnswer: 20632333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - a6c4d1?\nAnswer: -a6c509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-42)\/(-16))\/(-3))\/(74319\/(-63702))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 575 and 10.983?\nAnswer: 564.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:55 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11 + 13)*3\/(-12)*-15404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886048 divided by -640.\nAnswer: -27689\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-56))\/(2 - 14\/8). Let h(n) be the first derivative of -n**3\/3 - 2*n**2 - n + 2. Let p be h(u). Solve -y - 4*y + 21 = -s, -p*y = 2*s - 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.065.\nAnswer: -0.0325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -782 (b) 0.8 (c) -4 (d) -0.1 (e) -5\/4 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(6)\/sqrt(3) + sqrt(2) + sqrt(2) - sqrt(2)))\/(sqrt(4) - (sqrt(4) + sqrt(12)\/sqrt(3)*-2)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222387704 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 147*r**2 + 5*r - 14. Let h be o(6). Suppose -4*v + 21*u = 25*u - 4240, 5*v - h = 3*u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o. Let a(z) = -284*z - 1. Determine a(q(d)).\nAnswer: 568*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 - -5) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169335 (base 13) to base 16.\nAnswer: -89727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaitvjakjkkkk. Give prob of picking 1 v and 1 i.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + (49 - 91 - 86).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 + -225 + (0 - 11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/3 + 5*q**2\/2 - 32. Determine s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 12.785\nAnswer: 3.19625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -153, -154, -155, -156, -157?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 1.5. What is the nearest to -0.1 in n, -5, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 444*c**4*o**3 - c**2*o**2 - 131*o**3 wrt c?\nAnswer: 10656*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 3*w**2 - 5*w - 6. Let u be s(-4). Let z(h) = -3*h - 63. Let a be z(15). Let p be (u + 3)*a + -1. What is p rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 95*t**2 + 5\/4*t**3 + 745\/4*t + 185\/2 = 0. What is t?\nAnswer: -74, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8\/(q*q**(-2\/17)\/q*q*q))\/(((q\/q**(-1)*q)\/q)\/q*q*q*(q*q*q*q*q**(-3\/5)*q*q)\/q))**3 assuming q is positive.\nAnswer: q**(-327\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 67 + 17 - 206 - -227\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7948631176 to the power of 1\/3, to the nearest integer?\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 5*f + 67 - 71, 79*f - 336 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24142603 (base 8) to base 13.\nAnswer: -113451c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2*(5 - 7). Solve 3*m - m = -b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129 - -122) + (0 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27006 less than 572343022?\nAnswer: 572316016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 754313014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*a - 14, 3*w + 5*a + 27 - 9 = 0. What is the closest to -1 in w, -0.4, 0.1, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104104 + -30?\nAnswer: -104134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*z - d, 0*d = z + 2*d - 9. Suppose -737*q = -732*q - 1520. Suppose 3*f - q = -199. Calculate the remainder when f is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545431, 545425, 545409, 545377, 545323, 545241, 545125, 544969?\nAnswer: 544767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -91494 plus -355055031?\nAnswer: -355146525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 157440 (base 8) in base 12?\nAnswer: 29080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22137 (base 9) to base 5\nAnswer: 432240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = z + 15, -4*z - 4*s = 8. Let b(d) = -4*d - 6. Let r(i) = -3*i - 7. Let n(g) = 2*b(g) - 3*r(g). Give n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 352551.404 and 0.07?\nAnswer: 352551.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40953962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.066*0.13\nAnswer: -0.00858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.229 (c) 3.32 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.1407 to one decimal place.\nAnswer: -61.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*a + 6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -5, -1.02?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -726 (base 10) to base 9\nAnswer: -886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7363.699 milliseconds?\nAnswer: 7363699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617) - (sqrt(1617)*-1 - sqrt(1617)))\/sqrt(3) + -3 + (sqrt(88)*1*5)\/((sqrt(64)\/sqrt(2))\/sqrt(4)))**2 + 4.\nAnswer: -156*sqrt(11) + 7449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4490\/3, -4\/7, 2\/53, -0.2, 4, 1\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2314 + -1043. Suppose -q = -34*y + 1245. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1696469291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2199 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/3 (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:02 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/(-37))\/(50\/40*(-1)\/10).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 282686704 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-3 - -7 - -3) - (18 + -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p + 2\/105*p**5 + 2\/21*p**3 - 5*p**2 + 0 - 1\/420*p**6 - 5\/84*p**4. Suppose z(x) = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -2. Let v(t) = t**2 + 4*t - 1. Let y = 25 - 19. What is the remainder when v(n) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 330.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -7937?\nAnswer: -6\/7937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 12*f - 46. Is c(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*8\/(-32)*1\/(4\/(-20)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -29*b + 517. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/190*22190\/(-28). Let w = 1\/114 - p. Let q = -16338 + 441193\/27. Find the common denominator of w and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1459\/31 + (-617)\/((-1338890)\/(-140))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 12 + 69. Let y = -83 + 112. Let s(x) = -6*x - 6*x + y*x - 10*x + x**2 - 12. Determine s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -34, 4 in decreasing order.\nAnswer: 12, 4, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020321 (base 6) to base 10.\nAnswer: 96025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -92810 + 213601\nAnswer: 120791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 578, 1219, 1894, 2597, 3322, 4063, 4814, 5569?\nAnswer: 6322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*m + 4*w, -9*m = -8*m - 3*w - 21. Calculate the remainder when 2\/(576\/285 + -2) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -34*j**2 + 452*j - 23. Calculate r(12).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -779, -1486, -2207, -2948, -3715, -4514, -5351?\nAnswer: -6232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -346 + 350. Solve 3*n = m*u - 10, u = n + 2*u - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*k = -5*k + 1183 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*g - 49, 14 = -4*g + 18. Solve 2*h = -2*r - 10, 0*h - a = 2*r + 5*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 1, p: 1, d: 2}. What is prob of sequence pj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/64)\/((-6)\/(-4))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 340 = -3*i. Suppose 5*u = -i, -2*u + 3425 = s + u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278 + 190 = 645*g - 637*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvqqqvqqcqvq. What is prob of sequence vqcq?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 25 + 20 + 11*h)*(0 - 3 + 4) in the form j + g*h and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3340*m**5 + 378*m**2 + 519*m - 64 wrt m.\nAnswer: 66800*m**3 + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o**(-6)\/o))))\/(o*o**(-6)*o)*(o\/o**(-1))**9)**(1\/40) assuming o is positive.\nAnswer: o**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 946525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 3*t + 5*t + 9*t to the form p + r*t and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.902919 seconds to days.\nAnswer: 0.0011215615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 234?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/60 - (7 + (-66)\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 79238897.\nAnswer: 4\/79238897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/6, -2389, 2\/11, 11\/15?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5309745 divided by -5.\nAnswer: 1061949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 8*p**2 + 6*p + 9. Let l be g(7). Find the first derivative of 3*f**l - 5 - 7 + 10 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.025, -292, 0.1?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-46))\/((-728)\/416).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 158? (a) 2 (b) 32 (c) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.15 - -1.95. Which is the closest to 2? (a) h (b) 2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 68, 60, 34, -16, -96, -212?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12112 and 29824.\nAnswer: 22576768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -24 (c) -2 (d) 88 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14181 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-50.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 0. Let w = m - 8. Solve w = -0*k - 2*k + 4*r - 2, 2*k = -4*r - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -35*w + 116. Let o be q(-11). Let h = o - 126. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(1377) + 1 + 3)**2*-3 + -4.\nAnswer: -4162 - 162*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 789646023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -48 - 96. Let x = v + 20. Solve -r - 2*h = 2*h + 17, 25 = 5*r - x*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446345.887 rounded to the nearest 10?\nAnswer: 446350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.5, -2\/7, 355, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268338 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 535 + -529. Let j(q) be the third derivative of q**5\/15 - 17*q**4\/24 + q**3\/3 - 11*q**2. Let w(f) = -2*f**2 + 8*f - 1. Calculate p*j(t) + 13*w(t).\nAnswer: -2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-204)\/(-48))*(-3 - 20\/(-7))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and 823.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**2. Let a(w) = 312013*w. Determine a(j(h)).\nAnswer: -2496104*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2. Let d(y) be the second derivative of 1\/8*y**4 - y + 0 + 0*y**3 + y**2. Let u(m) be the first derivative of d(m). Calculate p(u(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 411504878 or 411504879?\nAnswer: 411504879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 62654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/17)*t\/((t\/t**(-6)*t*t)\/t)*t*t)**(-15))**16 assuming t is positive.\nAnswer: t**(19920\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9918019, -9917956, -9917893, -9917830, -9917767?\n\"Answer: 63*z - 9918082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = s - 5*s, 0 = -4*p + s - 5. Suppose 0 = -5*h - 4*w + 50, 3*h + p*w + 5*w = 43. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-23)\/(-92)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5220582?\nAnswer: 2, 3, 870097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.071, 0.05, 57 in descending order.\nAnswer: 57, 0.071, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 10391862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*b + 6*b**2 - 80*b - 32*b**2.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*(l*l*l\/(((l**(1\/4)*l)\/l)\/l*l))\/l*l*l**5*l)**44)**(-24) assuming l is positive.\nAnswer: l**(-12408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47299.\nAnswer: 7, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 186845, 373688, 560531, 747374, 934217?\n\"Answer: 186843*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((15\/10)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*g - 113 - 121 - 198 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0, 2, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -965*x - 108*x + 16*x + (0 + 4 - 3)*(1 - 2*x - 1) - x + 4*x - 2*x + (1 + 1 - 4)*(3*x - 3*x + 5*x).\nAnswer: -1068*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*j**3 - 210*d**2*j**2 - 12155*d*j**4 + 254*j**2 wrt j.\nAnswer: 12*d**2 - 291720*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*x**2 + 143*x**2 + 16870 - 16870 + 109*x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*12*(-1)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 93 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 127\/2 (b) -1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232561 is divided by 89?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u - 9. Suppose -5*g = -9*d + 4*d - 40, 3*d = -5*g + 8. Does 17 divide y(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*c - 5*c + 7, 3*o = 5*c - 13. Let w = 1 - o. Factor 6*r**2 - 5*r**2 - w + 1.\nAnswer: (r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480000 = -2*s + 3*s. Round s to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -11540631?\nAnswer: -11540634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvo when three letters picked without replacement from fooovfvvo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g + 64. Let t be j(11). What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -6*t**2 + 1. Let q(l) be the second derivative of 7*l**3\/3 + 316001*l. Give j(q(n)).\nAnswer: -168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, a: 1, n: 3}. What is prob of picking 3 h?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 10*u - 24*u - 361199*u**3.\nAnswer: -361199*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(sqrt(5) + (sqrt(25) + -5*sqrt(25))\/sqrt(5)))\/(1*(sqrt(126)\/sqrt(7))\/sqrt(6))*-4.\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k. Let q(a) = 2*a - 2. Let b(h) = -h + 12. Let s be b(10). Let r be q(s). Let z(d) = -d - r*d + 4*d - 4*d. What is l(z(m))?\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4203144 (base 5) to base 9\nAnswer: 114800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13813676 to the power of 1\/2, to the nearest integer?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 2*d**2 + d + 1. Let l be s(2). Suppose 2*q = 5*v - 6, q - 3 = 5*v - l. Solve 2*h - n + q = h, -5*n - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 3*i**3 + 2*i**4 + 0*i**2 - 75 + i**2 - 2*i**2 + 2*i**2 as k*i**4 + a*i + g*i**3 + y*i**2 + s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*r - 2*r - 5*y, 4 = 5*r + 2*y. Suppose -8 = g - 3*g. List the prime factors of (26\/4)\/(r\/g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 194379086?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/28*79 + 35\/(1470\/12). What is the highest common factor of 13447 and z?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 225.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, -24, 0.3, 0, 3, 1785?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 5*j - 2. Let s(l) = l**2 - 10*l + 20. Let p be s(6). What is a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2 greater than or equal to 3\/790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78327589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 1. What is n(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -512330.316 to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 597 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 take away 6802?\nAnswer: -6806.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01279 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0044 - -135.3044. What is h rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 + 7*a)*(-3 + 2*a + 3)*(-3 - 1 + 3) + (3*a + 3*a - 4*a)*(-2 + 3*a + 2) + 2*a**2 + a**2 - 5*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 - (480\/32 + -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1243503 (base 6) to base 11.\nAnswer: -47291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0267 and 1?\nAnswer: -0.0267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d + 6. Let p be (12\/10)\/(12\/30). Let g(m) = -40*m + 541. Let i be g(13). Let x(y) = -y - 1. Give i*x(c) + p*o(c).\nAnswer: -3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -3. Let r = 44.41 - 41.41. What is the closest to 0 in r, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 - (22 + (63 - 77))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g**3 + 16*g**2 - 9*g - 8. Let a(k) = -5*k**3 + 15*k**2 - 9*k - 9. Let p(l) = -5*a(l) + 4*n(l). Let v be p(10). Is 3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + o + 20 = 0, -4*r + 45 = -6*o + o. Suppose 0 = 2*p - 31 - 121. Put r, 1, p in decreasing order.\nAnswer: p, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 16\/7, -13, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/2937 and -69\/2?\nAnswer: 5874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + 6*v - 2. Let f(d) = -d**3 - 5*d**2 + 6*d + 1. Let r(u) = -1. Let k(c) = f(c) - 3*r(c). Let h be k(-6). What is q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -12. Suppose -2*t + y*n + 0*n + 54 = 0, -4*t = -n - 136. Calculate the greatest common divisor of t and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2*(1 + sqrt(425) - sqrt(425)))**2 - sqrt(425)) + sqrt(425)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Let z(x) = 8*x + 4. Let t be z(u). Suppose -24 = -2*q + 4*c, -4*q + t = 3*c + c. 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: -16 + 10 + -23 + 15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/55 and 39\/530.\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4423\/123 - -12\/41. Let v = k - -36. Which is smaller: 0.2 or v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 173. Let t = 705\/4 - m. What is the common denominator of ((-12)\/5)\/((-77)\/(-70)) and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355.69 times -414?\nAnswer: 147255.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-10) - 8\/20. Sort 5, 4, b in ascending order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 3*i + 0 - i**2 + 30 - 2*i + 3 to z*i + o + w*i**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = -6*n + 742. Calculate the greatest common factor of 252 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 533543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 9*d + 13. Let g be n(3). Sort -2, 2, g.\nAnswer: g, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 3588\/101?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 29*f**2 - 58*f - 107. Let y be g(-27). Let a(h) = 5083*h**2 + 18*h - 2. Is a(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**2))**(-1\/19)\/(l\/(l*l**(-2\/3)*l)*l*l**(-7)*l))**(5\/7) assuming l is positive.\nAnswer: l**(1550\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -109 - 19 - 16 - -10.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = p + 4*p. Let r(l) be the third derivative of l**6\/60 - l**5\/60 + l**3\/2 - 6*l**2. Let s be r(0). Solve -5*b - s*t + p = -t, -2*b - 2*t = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 277263 = 20*n - 335768. What are the prime factors of n?\nAnswer: 21139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785 + 757 = -4*s, -5*x + 16814 = 2*s. Does 96 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 23*p - 618. Let h be t(27). Let m = -32 + 32.02. What is the closest to 1\/3 in m, -1, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s = -31*s - 224. Let d = 256\/9 - s. What is the fourth biggest value in -2\/11, 3, d, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71338471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:38 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*s + 17883 - 17901, 3*n = 4*s - 143 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 13\/91*228*8\/(-64).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 2*a + 2. Let u(s) = 633*s**2 + 22*s + 22. Calculate 44*b(g) - 4*u(g).\nAnswer: -2488*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*((u\/(u*u**(-2\/39)*u)*u)\/u)\/u*u))\/u**(-8)*u**(-7)\/u*u**(-1\/7))**28 assuming u is positive.\nAnswer: u**(-212\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663380 by -165845.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 142 and 37501487.\nAnswer: 37501629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 27. Let n = -0.03 + -0.07. What is the closest to -0.1 in n, 0.5, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2) + 1 - sqrt(2)) + (1 + sqrt(128))**2 + (sqrt(2) - ((sqrt(12)*2)\/sqrt(6) - sqrt(2)) - sqrt(2))*5.\nAnswer: 11*sqrt(2) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/14)\/(50\/(-35))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 9*b**2 + 19*b - 927. Calculate o(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47470 or -0.331?\nAnswer: -0.331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192727?\nAnswer: 31, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 4)\/(11 + -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/50 and -181\/234600.\nAnswer: 234600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:24 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2.33, 0.3, -2 in descending order.\nAnswer: 2.33, 0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(6\/13)*u))\/u**(3\/2))**(1\/13) assuming u is positive.\nAnswer: u**(-77\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 159 = -w + 688, 5*h - 4*w = 534. Let g = 50 - h. What is the common denominator of -63\/20 and 12\/g*13\/3?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3) + 56\/21. Let l(d) = -d**3 + 68*d**2 - 131*d - 71. Let v be l(66). What is the smallest value in -0.1, s, v, 15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*q + 10, -10 = 4*f + 2. Suppose 6*l = l + 20. Solve q*n + 0 = -4*r + 6, -2*r - 3*n = -l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)*-1 + -2. Let f be q\/(1 + (-12)\/9). Suppose 0 = 2*p - 4*i - 68, 93 = 3*p - f*i - 3. Calculate the greatest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 5 - v - 1 - v**3 - 5*v**2. Let f = -21 + 17. What is the units digit of b(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 102. Let f = q + 35. Let h = -41 + 43. Solve 9 = 5*a + 4*j, -3*j + f*j = -h*a + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + f**3 + 2*f**4 - 2*f**3)*(f - 2 + 2).\nAnswer: -f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/a**3)**(2\/9) assuming a is positive.\nAnswer: a**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 15*x + 1. Let t be i(15). What is the highest common divisor of 4 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxkgy. Give prob of sequence ykr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/523 or 1?\nAnswer: 2\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 7}. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 3*m - 7*m + 4*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*d - 7, k - 4*d = -2*d + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755362082.\nAnswer: 2, 3, 19, 43, 433, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 4, t: 2, m: 1, g: 2, o: 4, c: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (2 + (-3 - 4 - (9 + -12)) - 1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-78)\/(-15))\/(12\/30). Factor -12*v**2 - 15*v**3 + a*v**2 - 5*v**5 - 15*v**4 - 6*v**2.\nAnswer: -5*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6322*k + 12694. What is v(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1515 divided by -303.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 4*v. Let j be w(1). Put -3, -15, 3, 1, j in descending order.\nAnswer: 3, 1, j, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -74 - (-1 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193962 and 44322.\nAnswer: 1432797294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 650.48 + -623. What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1836, 7210, 16166, 28704, 44824, 64526, 87810?\n\"Answer: 1791*n**2 + n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 23 - 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8221 minus -0.4?\nAnswer: -8220.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5035341*z**2 + 1919364*z - 2 wrt z?\nAnswer: -10070682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 1:48 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 371 + -366.02. What is d rounded to 1 dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451 - 451.2463. Let r = y + 0.268. Round r to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 22*m - 162. Let n be x(6). List the prime factors of ((-266)\/5)\/(2\/n*6).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*m + 4*n - 8, 0 = 4*n + 8. Suppose -1102 = 3*z + 1040. Let o be z\/(-35) - (-2)\/m. Solve 0*w + o = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**3 - 5*m - 7*m**3 + 4*m + (0 + 0 + m**2)*(4*m + 3*m - 6*m) to the form v*m + o*m**2 + s + w*m**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 4.6. Let p = 0.31 - -3.39. Let m = f + p. What is the nearest to -1 in m, -2, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185028?\nAnswer: 2, 13, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -97463?\nAnswer: -97467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8018 - 317 - 622 = -169*l. Solve l*n = -9*n - 558 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678216.5 rounded to the nearest ten thousand?\nAnswer: 1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:12 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 483*k - 26719. Calculate z(-53).\nAnswer: 1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/4 + l**3 + 3*l**2\/2 + 2*l. Let x be (-140)\/(-50)*220\/(-154). Let d(v) = -5*v**2 - 11*v - 5. Calculate x*d(b) - 7*w(b).\nAnswer: -b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let x be d\/(-3) - -3 - -1. Suppose -6*s = -2*s - x. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 8*q**2 - 7. Let z be m(8). Let a = z + -18. Let r = -17 - a. Calculate the lowest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1189\/9 - -2351\/18. Sort 1\/13, -5, z, 0.5, 0.1 in descending order.\nAnswer: 0.5, 0.1, 1\/13, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, -106 in descending order.\nAnswer: 15, 0, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (10\/4 - 3)*-18 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/11 - 8*n**4\/11 - 26*n**3\/11 + 8*n**2\/11 + 24*n\/11 = 0.\nAnswer: -2, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 512.\nAnswer: -1\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (sqrt(68) + (-5*sqrt(68)*-5 - sqrt(68)))) + sqrt(68))\/sqrt(1296) + 2.\nAnswer: -11*sqrt(17)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-4)*l\/l**(-16)*(l**(-26))**(-41) assuming l is positive.\nAnswer: l**1088","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 14*m - 18. Let x be y(-15). Let f = -120 - -96. What is the closest to 0.2 in f, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 11*r**6\/180 + r**5\/24 - r**4\/12 + r**3\/3 + r. Let k(l) be the second derivative of t(l). Is k(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*z = -7, -s + 2*z - 7*z + 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.093279 * 0.6\nAnswer: -0.0559674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 38198215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 16*t**2 + 15*t - 5. Let j be s(-15). What are the prime factors of 2 - -21 - (1 + j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-175)\/10)\/((-10)\/60). Let n be (x\/14)\/(-15)*-4. Solve 3*z + 5*v = 5, -5*z + n*v - 1 = -30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*l - 5*p - 31 - 54, -4*l - 3*p = 51 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 3*a + 0 + 1\/5*a**5 + 0*a**3 + 0*a**2 - 1\/6*a**4. Find the third derivative of w(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559 + r - 569 + 1686 - 558.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 55. Suppose -6 = -2*z, 2*g + x*g + z - 65 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*h - 30\/7*h**2 - 14 + 2\/7*h**3.\nAnswer: 2*(h - 7)**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 - 874*q**4\/3 + 63947*q**3 - 381064*q**2\/3 + 190096*q\/3 = 0. What is q?\nAnswer: 0, 1, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.71 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i - 1. Let l = 494 + -453. Calculate the remainder when l is divided by m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 69. Calculate the remainder when 151 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**3 - 3*x**2 + 6. Let f(l) = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 3\/5, -1, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + (-1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(2\/(-4) - -2). Suppose -g - w + 1 = 0. Let f(o) = o**3 - 12*o**2 - 13*o - 1. Let a be f(13). Put g, -3, a in decreasing order.\nAnswer: a, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 788bb4b5?\nAnswer: 788bb4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642*c - 1188*c + 603*c)*(4*c - 3*c + c)*(-19 - 32 - 21).\nAnswer: -8208*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*(-8)\/40?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000365347124 rounded to 6 decimal places?\nAnswer: 0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(405)*-2 - (-1 + sqrt(405) + 1)) + -4)**2 - ((1*sqrt(405)*-1 + sqrt(405) + -2)**2 + -4).\nAnswer: 216*sqrt(5) + 3661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -1\/4 (c) -5 (d) 5 (e) 1\/3 (f) 14519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14*q - 7. Let h be u(-7). Let m = h + 150. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/9 + 116*u**3 - 1048*u**2\/9.\nAnswer: 4*u**2*(u - 1)*(u + 262)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21872 and 2862498.\nAnswer: 2734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(16\/4))\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/11 + 2424464*f**2\/11 - 734750786442*f\/11 - 1469511270756\/11 = 0.\nAnswer: -2, 606117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1447, -1454, -1465, -1480, -1499, -1522?\nAnswer: -1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Let y be (-2*(-1)\/(-2))\/(-1). Solve y = -s - j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l + 32*l - 6*l**3 - 59*l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*r - 2*r**5 + 1 - 17*r**5 - 98*r**4 + 18*r**5 wrt r.\nAnswer: -20*r**3 - 1176*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 6*l - 6. Let q be w(-5). Let j be (4 - q\/6) + 3. Put 5, j, -2\/23 in ascending order.\nAnswer: -2\/23, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 15*y + 60. Let k be b(-8). Suppose -4*d - k*u - 55 = -d, 0 = 5*d - 2*u + 109. List the prime factors of (-42)\/(-9) + 14\/d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:16 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26065, -26247, -26427, -26605, -26781, -26955, -27127?\n\"Answer: x**2 - 185*x - 25881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*l - 20 + 3 = 0, -2*i + 3*l = -13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from ynnoyrw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + (-8135)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 9*z**2 - 2*z - 6. What is o(-8)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156071727 to the power of 1\/3, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16 + 2*d**4 + 3 + 13*d**4 + 7*d**4 wrt d?\nAnswer: 88*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10475169 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1801097141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.9 - 17.7. Let g = -24.6 - m. What is the closest to 0.2 in g, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 2 - 30 = 0. Solve 12 = w*t - 0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 - j**2)*(170*j - 1208*j - 499*j + 69*j + 231*j).\nAnswer: 2474*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 5*h + 1. Suppose -2*y + 4*y - 4*n = -10, 0 = 4*y + n - 16. Suppose d - 2*l = -y*d - 24, -3*d + l = 17. What is the units digit of b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 475057?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d - 19*d = 22*d + 18*d. Which is smaller: d or -22\/419?\nAnswer: -22\/419","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61, -120, -175, -226, -273, -316?\n\"Answer: 2*v**2 - 65*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(325) + 4 - sqrt(325)) + (sqrt(325) + 3)*-3 + 4.\nAnswer: -25*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*u + 9, -2*u = 94*n - 92*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.86 - 18.86. What is the closest to x in 4, 0, -0.3, 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 41 = -3*w. Let b be (1 + 3)\/(-2) - w. Suppose 15 = 2*t + 5*m, -5*m + b = -3*t + 6*t. Solve c + o = 6, t*c + 0*o + 2*o - 21 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3694274*m**4 + 734669*m**2?\nAnswer: -88662576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -28 - 26 - -45.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 102 - 32)*(4*k - 4*k + 2*k + (k + 2*k - 2*k)*(-6 + 13 + 12)).\nAnswer: 693*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*f - 27*f + 85. Let o = 18 - f. Suppose 3*p - h = 9 - o, 2*p = -2*h. Solve 5*d = 5*w - 25, 5*d - p*w + 9 = -1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 121 + 1 = 0. Let x(z) = -4*z - 1. Let i be x(3). Let r = o - i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3)**48)**22\/(x**1*x**(-3\/4)*x\/(x*x\/(x\/(x*x**1\/x)*x)*x*x)*x\/(x**1*x)) assuming x is positive.\nAnswer: x**(12683\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d**2 + d + 23. Let b = -9941 + 9941. Determine g(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 1302.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 18 = x, -4*q - 21*x + 17*x = -143 + 127 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15700 and 5468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 - 70*f + 188. List the prime factors of d(35).\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-1)\/(-3)*(-14)\/(-49)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1110001 (base 2) to base 4\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000102802227 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 1:40 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45\/2 (b) 2 (c) -89.95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 88 = 4*c, 3*c - c = -4*d + 88. Suppose y = -3*y + 12. Suppose -y*a + 88 = a. What is the highest common factor of d and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:37 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124\/83 + -17897\/12035. What is the second smallest value in c, 2\/11, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*n - 6 - 13 = 0, 2*w = -5*n + 22. Let g(a) = 2*a**2 - 19*a + 7. Let x be g(9). Put -4, x, w in decreasing order.\nAnswer: w, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 5014.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 261 + -249. Let k be j - (2 + -1 + 1 + 2). Suppose 5*h - 3*r - 19 = 0, 3*h + 0*h = 3*r + 15. Solve -2*c + k = h*v, -4*c - 12 = v - 7*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = a - 808, -8 = 2*i. List the prime factors of a.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 o when three letters picked without replacement from nzoooleeoee?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -t - 4*t - 63, -4*x = 2*t + 14. Let w = 1 - t. Suppose -r - 2*r = -w. Let s(a) = -a**3 + 4*a**2 - 2. What is s(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*q - 100 = 0, 0*q = -4*l - q + 332. What is the common denominator of 6\/9 - (-394)\/l and -89\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16234*s + 980*s + 3825*s.\nAnswer: 21039*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99, 389, 873, 1551, 2423, 3489?\n\"Answer: 97*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8 + 19*q + q**3 - 18*q + 7*q**2 - 4. What is the hundreds digit of j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 6) to base 3\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 814612.4 nanometers?\nAnswer: 0.0000008146124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 17. List the prime factors of (-65)\/l + (-10)\/(-20).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 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: Is 12 a factor of 3357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25098 + 3.\nAnswer: 25101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236 - 236.4. Let f = -4\/13 + -1\/39. Sort 9, d, 0.2, f in increasing order.\nAnswer: d, f, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 2*l - 3*l**4 + l**4 - 10*l**2 to s + j*l + r*l**2 + c*l**4 + i*l**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 5*a - 4*a)*(-12*a + 14*a + 0 - 10).\nAnswer: 4*a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4, 18 = 4*d + t + 6. Let s(v) = d - v - 4. Let z(x) = -2*x. Give z(s(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 2420 = 21*u. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + (sqrt(55)\/sqrt(5) - sqrt(11)) + 1 + -1*sqrt(1584) + 1)**2.\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(72)*-2*-6 + sqrt(72) + -2)*-2 - (2 + -2 + -4 + (sqrt(72) + sqrt(72)*-1 - sqrt(72))))**2.\nAnswer: -90128 + 4800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 + 0*i - 3*i**3 - 141*i**2 + 2*i.\nAnswer: -3*i**3 - 141*i**2 + 2*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95978.57 kilograms to grams.\nAnswer: 95978570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 1 - 95*a**3 - 5*a**2 + 4*a**2.\nAnswer: -95*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32133330 - 211330?\nAnswer: 31322000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 1. Let l be w(-1). Let c = l + 7. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.671 times -478?\nAnswer: -1276.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) 2 (c) 90\/23 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7777 and 1232?\nAnswer: 124432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58506 + -37512. Is 113 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugf when three letters picked without replacement from {g: 2, j: 4, f: 2, o: 2, u: 1, c: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -6*(-4 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/(-48) + (-2247)\/(-84) + -24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 = 1. What is the remainder when 20 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -200, -222, -264, -332, -432?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 4, -1, -2\/119, 2\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let h(t) = 1362*t + 203. Determine m(h(p)).\nAnswer: -1362*p - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let v(h) = -18*h**2 - 4*h + 21. Let d(z) = -4*i(z) + v(z). What is the derivative of d(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 230 - 244 = 2*t, 4*r + 20 = -2*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {z: 9, f: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 3*b + 12155. What are the prime factors of b?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2637*b + 2634*b + 22560 = 0. Is 80 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 1. Let v be p(1). Let g be v\/(-6) + (-6)\/4. What is the units digit of 188\/36 + g\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, s: 2}. What is prob of picking 2 e and 1 s?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 16) in base 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Calculate s(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let g(s) = -2*s**2 + 0 - 1 + 1. Give d(g(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, 14, 151, 2 in decreasing order.\nAnswer: 151, 14, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 95. Suppose -21*m + 1846 = -86. Calculate the greatest common factor of m and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 42973 = g, 2*g - 85941 = -131*o + 126*o. What are the prime factors of g?\nAnswer: 53, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3)*(81\/(-216))\/(18\/12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82685061 - 7906.\nAnswer: 82677155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2499695900 to the nearest 1000000.\nAnswer: 2500000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/963?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1285155645 divided by -5.\nAnswer: 257031129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**3 - 8*y**2 + y - 6. Let v(d) = 14*d**3 + 23*d**2 - 3*d + 17. Calculate -11*q(l) - 4*v(l).\nAnswer: -l**3 - 4*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -15. Let j = 2567 - 2564. Solve y = 5*n + s, -j*y - 4*n + 1 = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*d**3*i**2 - 49*d**3 - d**2*i + 3*d**2 - 84*i + 41 with respect to i.\nAnswer: -38*d**3*i - d**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -426888 (base 10) to base 12\nAnswer: -187060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 649 + -648. Let r be -2*((-3 - 3 - -5) + 2). Sort r, v, 3, -1 in descending order.\nAnswer: 3, v, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**6\/120 + 11*c**5\/60 - 13*c**4\/24 - c**3\/2 - 3*c**2. Let p be d(-12). Solve 5*w - 6 = p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1025125 - -1?\nAnswer: -1025124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6690 - -8030. Which is smaller: 1339 or b?\nAnswer: 1339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 38*h**2 - 166*h - 80. Let b be g(42). Solve 5*j = -2*u + 21, -2*u + 18 = b*j - 0*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 373 = -6*s - 121 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1384, 0.2, 0.5, 0.3 in ascending order.\nAnswer: -1384, 0.2, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -536899296923 - -536906798994.29711. Let u = g + -7502037. Let p = -34.3 + u. What is p rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(539)*1 + (sqrt(539) + 2)*3 + ((1*sqrt(539) + -5)*6)**2 + 4.\nAnswer: -2527*sqrt(11) + 20314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3775 and 604.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 39*r - 553. Calculate m(13).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 9 = 17*d. Suppose -d*r - 8 = -r + 4*h, 0 = 5*r + 4*h + 2. Suppose -4*t - 23 = 3*k + r*k, 4*k - 11 = t. Sort -3, t, 5, -4 in ascending order.\nAnswer: t, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11272 - 11266. Solve 30*y + h = 24*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 60. What is the remainder when (-42)\/(-105) - (-293)\/5 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.046 + 1.946. What is the third smallest value in -5, 98, u?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 0. Let i(q) be the second derivative of -q**4\/12 - 5*q**3\/3 - 5*q**2\/2 + 14*q. What is the lowest common multiple of i(n) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 - 198 - ((2 - 0) + -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -8*b + 324. Solve 0 = -4*j + b - 90 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -619, -932, -1249, -1570?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*b + 249*b = 54 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4171 to two dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89602 is divided by 14744?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a2a0343 - 5?\nAnswer: -6a2a0348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11473 - -11473. Which is smaller: -2914 or d?\nAnswer: -2914","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329264698?\nAnswer: 2, 7, 23518907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*w**3 + 29*w**2 + 18*w**2 + 249*w**3 - 70*w**2 + 23*w**2.\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88.57452km?\nAnswer: 88574520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663584, -663668, -663756, -663848, -663944?\nAnswer: -664044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.72 + 0.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12496 divided by 284\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -57*o**2 + 2*o. Let v(q) = q**2 + q. Let a(i) be the second derivative of i**4\/6 + i**3\/6 - 95*i. Let t(n) = -a(n) + v(n). Give t(p(z)).\nAnswer: -3249*z**4 + 228*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0678, 0.0044, -5\/11.\nAnswer: -5\/11, 0.0044, 0.0678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/1*1\/3. Suppose -t*g + 36 = -3*n, 6*g + 36 = -3*n + 3*g. What is the units digit of n\/8 - 30\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3834*j**2 + 1915*j**2 + 1917*j**2 + 7*j + 4*j - 109. Determine r(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31979386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - y - 1)*(44*y - 82 + 82) - 14*y**2 - 9*y**2 - 10*y**2 - 1 + 1 - 2*y**2 + (2*y + 1 - 1)*(5*y - 4*y - 2*y) in the form d + l*y**2 + q*y and give l.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -720.\nAnswer: -7\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000287713 rounded to 7 decimal places?\nAnswer: -0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(612)*-1 + 5 + (sqrt(612) - (sqrt(612) + 2)**2 - sqrt(612)) + 3)*-2.\nAnswer: 60*sqrt(17) + 1214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*u + 21*u = -315 - 805. Suppose 5\/3*j**4 + 5\/3*j**u - 5\/3*j**2 - 20\/3 - 25\/3*j**3 + 40\/3*j = 0. What is j?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*d + 3761, d + 3*p - 135 - 1124 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0 + 60. Suppose 25*z + 13*z = 760. Solve 0 = -4*m - t + z, -5*t + h = m - t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 2*a**4 + 2*a**4 - 2*a**5 + 9*a**5 - a**5 - 2*a**5 + (-2*a + 0 + 0)*(2*a + a**4 - 2*a).\nAnswer: 2*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 13*u - 13*u)*(-2*u**3 + 4*u**3 - u**3) + 5180 - 5180 - 86*u**5.\nAnswer: -92*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 16439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 6*n**2 - 7*n. What is s(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 4*t**2 - t + 4. Let g be o(4). Suppose -4*f + g = -8. Let p = f - -5. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*a**5*c + 4*a**2*c**2 + 4*a*c**2 - 4*a - 12*c wrt a.\nAnswer: -2600*a**3*c + 8*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2294829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 466860815 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times -3\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14147 is divided by 658?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*f**2 - 5*b*f + 43767*f**2 + 1480*f + 58 wrt f?\nAnswer: -6*b + 87534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 10*c - 8. Suppose i = c - 0. Solve 2*v = -5*s - 35, 0*s - 30 = 3*s + i*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2*o**3\/27 - 17*o**2\/9 - 4*o - 2366. Factor p(b).\nAnswer: 2*(b - 18)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/j**(-1\/13))\/(j**(-10)*(j*((j\/((j*(j*j**(-1\/6))\/j*j)\/j*j))\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(227\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33425.48t to milligrams.\nAnswer: 33425480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931280 is divided by 1472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/657513 and -10\/38208811?\nAnswer: 343879299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u + 3 + 0 + 7*u wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6738230 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*h = -1573, -10*h = 5*m - 5*h - 1570. Let d = -45 - -20. Does 6 divide 4\/10 - m\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 3:20 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 9:04 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2 - (-21 + 14)) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120444 is divided by 1105?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 - 1. Let j(p) = p**2 + 1. Let q(k) = -2*j(k) - 2*z(k). Let o(n) be the first derivative of -2*n**3\/3 - 17. Give o(q(u)).\nAnswer: -392*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23.1781+-9331.757\nAnswer: -9354.9351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ees when three letters picked without replacement from uhdhehudusdsdeudse.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x - 7. Let r(t) = t**3 - 31*t**2 - 64*t - 73. Let l(a) = 2*a**2 - 5*a - 30. Let s be l(7). Let v be r(s). Determine p(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 854 - -76?\nAnswer: 8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1)*z**(-1\/4)\/z)\/(z*z\/(z\/((z*z**0)\/z)*z)*z)**(-31) assuming z is positive.\nAnswer: z**(119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 13.\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67535 by -5195.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 10*d**4 + d - 8634750*d**3 + 8634948*d**3 - 5 as f*d**2 + u + q*d**3 + h*d**4 + s*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93281332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-10)*(-10 + 7)*40\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t - 247 = -5*i, 0 = -4*i + t + 202. Let b be 6*(-4 + i\/9). Calculate the highest common divisor of b and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(90\/(-3825))\/((-10)\/(-15))?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28999750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 120\/35 + -1 + -3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, -0.2, 2, -1141?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.022996 + -0.023. Round o to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 72 = -4*y, 41 + 27 = 4*y + 3*d. Calculate the remainder when 108 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - s + 1. Let u(z) = 4*z**3 - 5*z**2 - 7*z + 6. What is 6*j(w) - u(w)?\nAnswer: 2*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 328.8 - 329. Which is the second biggest value? (a) 2\/19 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -11. Suppose y + 0*y = 0. Let j be -1 - (y - (0 + d)). Calculate the greatest common factor of j and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:23 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 4*f + 53\/24*f**4 - 7\/10*f**5 + 0 + 0*f**3 - 5*f**2. What is the second derivative of q(u) wrt u?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 5*w**2 - 3*w. Let q(p) = p**2 - 5*p + 1. Suppose t = -3*t + 12. Let d be q(t). What are the prime factors of f(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152908968803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5 + 96*o**4 + 29000*o**3 + 712128*o**2 - 1511620*o + 770400 = 0?\nAnswer: -45, -40, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 10 - 30. Let t be 3\/(-4)*-4 - 0. Suppose t*w - 2*w - 17 = 0. Calculate the remainder when w is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(27) - sqrt(675))*3)\/(6*-3*sqrt(729)).\nAnswer: -1 + 10*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179351 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**4*k - 3*d**4 - d**3*k - 333*d**2*k wrt d?\nAnswer: -192*d*k - 72*d - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - 5*f, 2*o = 5*o - 2*f - 9. Solve 15*l**o + l**2 + 11*l + 24*l**2 - l - 15*l**5 - 5*l**4 + 10*l**5 = 0 for l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 + 2*r**3 + 5*r**2 - 3*r + 2. Let a(f) = f - 1. Let l(z) = -a(z) + g(z). Is 12 a factor of l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/336)\/(((-15)\/8)\/(-5)). Let p = -0.6 - 3.4. Which is the closest to 0? (a) k (b) p (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(448) - (-2 + sqrt(448) - sqrt(448)))**2 + 4 - (-5 + -3*((sqrt(63)*-3)\/sqrt(9))**2).\nAnswer: 32*sqrt(7) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (1 + -3)*-2 - -31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 134.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180775290 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.209225 millilitres?\nAnswer: 0.001209225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/3 > -1060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*a + 6 = -4, -4*a = 5*h - 12. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:09 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - l + 26, 0*l - 41 = -3*i - 4*l. Let y = -10 + i. What is the units digit of (-30)\/y + -2 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*h - 69*h + 1668. Calculate the highest common factor of h and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -2*w - 0*w. Let b be 18\/15 - (-96)\/(-30). What is the units digit of b\/(-14) + w\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3\/2 + 230*a**2 + 2975*a\/2 - 1715.\nAnswer: -5*(a - 98)*(a - 1)*(a + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3447842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {e: 2, u: 1, l: 1, w: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(2) + sqrt(8)\/sqrt(36)).\nAnswer: -15 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(8\/7)\/((s*s\/s**(4\/3))\/s))**(-2)\/((s*s**7*s)\/((s**4*s)\/s)*(s**0)**(9\/8)) assuming s is positive.\nAnswer: s**(-167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1210 and -81\/7018?\nAnswer: 35090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(99)*-2 + sqrt(99) + (6*(((1 + sqrt(99))**2 - sqrt(99)) + sqrt(99)) - sqrt(99))).\nAnswer: 180*sqrt(11) + 3576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11414332 (base 5) to base 11\nAnswer: 73818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:03 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 - -303?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 34 = 2*j - 6*z, 2*j + 5*z = -1. Suppose j + 4 = 4*s. What is the closest to -0.1 in 0.5, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - q**2 + 112*q + 112. Let s be x(-1). Solve 2*l - 28 + 31 = -f, s = 4*l + 4*f - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0 + 1\/260*x**6 + 0*x + 2\/1365*x**7 + 0*x**3 + 0*x**4 + 0*x**5 + 6*x**2. Factor l(m).\nAnswer: 2*m**3*(2*m + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 99736 = -3*w, 4*w - 144091 = -2*j - 11095. Let m = -2460313\/74 + w. Let p = m - 1\/37. Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.564864cm in kilometers?\nAnswer: 0.00008564864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpppnpfpnffnwffww. Give prob of picking 2 w and 1 p.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75911 and 7775350.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/6 + 5*m**4\/4 + 5*m**3\/3 + 2*m - 2. What is c in w(c) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*r + 1 = 0, -t - 3*t - 3*r + 7 = 0. What is the units digit of 8\/(-12)*t*(-78)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 26. Suppose c*i = i + 2. Does i = 2\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6112, -12017, -17924, -23833, -29744, -35657?\n\"Answer: -h**2 - 5902*h - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w = -410 - 150 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 17 = 5*s - 3, 2*v + 12 = 3*s. Suppose s*g + g = 5. List the prime factors of -1 + g + (-2)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 974891.48 - 974892.37497182. Let s = g + 0.895. What is s rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8683727 is divided by 201940.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-114)\/918*(-69)\/(-230) and 47\/459.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.4 * -1.5\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 16. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1163104, -1163106, -1163110, -1163116, -1163124?\nAnswer: -1163134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d**2 + d - 2. Let o = 6 + -6. Let l be r(o). Let w(k) = -3*k + 6. Calculate the remainder when w(l) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 270*z**2 + 1072*z - 69024. Calculate l(273).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**7\/840 + z**6\/360 - z**5\/120 + 23*z**4\/8 + 2*z**3\/3 - 8. Let x(g) be the third derivative of o(g). Is x(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/9*3)\/(-2). Let v be i\/(-4)*-3*2. Suppose -k + v = -2. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 37*d**4 - 4 - 3*d**3 + 5526*d**2 + 32*d**4 - 5522*d**2 in the form m*d + f*d**3 + g*d**2 + x*d**4 + u and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 7. Calculate the highest common factor of r and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*v + 409 + 363 + 366 - 1133 + 24*v.\nAnswer: 238*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/187 and -51\/77.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5199)\/12131*(-8)\/((-480)\/28)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let u be o(3). Solve 4*t - u = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0954970685 + 0.249.\nAnswer: 0.1535029315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -314 (base 8) to base 15\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 9. Let t(q) = q - 4. Suppose -v - v = -6. Suppose -u - 2 = r, -4*r + 0*u + 2*u + 16 = 0. Let m be 90\/12 - 1\/r. Give m*t(l) + v*w(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jooojojoojo. Give prob of picking 2 o.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**5)**(-10))**4)**(2\/11) assuming b is positive.\nAnswer: b**(240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 4*d**2 - d - 3. Let c be b(-4). Let s = -51 - -54. What is the second smallest value in 3\/2, c, s?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617447.64 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3751*l**2 - 70. Let x(b) = -2*b. Calculate x(r(k)).\nAnswer: -7502*k**2 + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let v(h) = -2*h. Let m(f) = 7*l(f) - 3*v(f). Let b(o) = 7*o. Determine b(m(k)).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 120693352 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u**3 + 7*u**2 - 4*u + 13. Let g(v) = 7*v**3 + 3*v**2 - 2*v + 6. Let m(r) = -13*g(r) + 6*j(r). Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:45 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -1\/60*q**4 + 0*q**2 - 1\/100*q**5 + 1\/30*q**3 + 2 + 1\/150*q**6 + 2*q. Let o(a) be the first derivative of w(a). Factor o(t).\nAnswer: t*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-1176))\/((-12)\/(-28) + 150\/(-840)).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (6 + 2 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by -57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 17*b**2 + 44*b - 420. Give f(18).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2114*g - 9737 - 44591 - 9092 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 + 192 = -53*c - 44*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + 201?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 6 = -25*l. Suppose -9*c + 14*c - 3037 = -3*t, -2016 = -l*t + c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.99 or 1252?\nAnswer: 1252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25*b = 26. List the prime factors of (-21)\/28*b - (-5174)\/8.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -4*p**2 + 16\/3*p**4 + 2*p + 0 + 10\/3*p**3 + 9\/5*p**5. Factor w(k).\nAnswer: 4*(k + 1)**2*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**2 + 2\/9*z**3 + 4 + 4\/3*z. Find y, given that d(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 40*r**3 + 15*r**2 - 36*r - 51. Give i(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1093*m**2 - 9*m + 108 wrt m.\nAnswer: 2186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*j + 12 - 19 + 16 = -6, 2*j = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13853222315659 - 13853222029717.034799156. Let a = f - 285936.9652. Let k = -5 + a. What is k rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92598684?\nAnswer: 2, 3, 7716557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 15069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*y - 210, -3*z + 7*z + 3*y = 215. Suppose 3*t - t - z = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (-56 - -64 - (-11 - -27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 1822775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 175. Let l = -68 - q. Solve -2*v + 4*v - 5*b + 4 = 0, -3*v + 1 = -l*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -8*c**3\/9 + 175*c**2\/9 - 91*c\/3 - 60 = 0.\nAnswer: -9\/8, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/28*714\/(-4). Suppose -9*b + p = -3*b. Calculate the greatest common divisor of 153 and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3517, 8.\nAnswer: -3517, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2004*r - 1485*r = 15051 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11340 from 0.1806.\nAnswer: -11339.8194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(3857\/684))\/((-2)\/7*1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 139 - 981 = 0. Let o be 2\/(-14) - 116\/h. Let a = 0 - -0.5. Sort 3, o, a.\nAnswer: o, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 23*q + 16. Let b be l(-19). Let v(w) = -92 + w + 8*w**2 + w**3 + b. Is 8 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2472110 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 6*h - 2. Let w be v(-7). Let m be w*4\/(-84) - 0. Is m at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 10*s - 16. Let p be (2 + -8)*6\/9 + 10. Is d(p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**38*q)\/(q**(-3\/5)*q))**(2\/11) assuming q is positive.\nAnswer: q**(386\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 50037754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 397707*u**2 - 1657 + 397710*u**2 - 5*u + 1641.\nAnswer: 3*u**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 - 67425*b**2 + 808240*b + 1886220 = 0.\nAnswer: -2, 14, 13473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + s + 3*j + 35, 0 = -4*s - 3*j + 43. Suppose s*u - 9 = 4*u. Calculate the highest common factor of u and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 414, 633, 894, 1203, 1566?\nAnswer: 1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4282604, 4282610, 4282616?\nAnswer: 4282622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 at least as big as -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = 5*s - 13, -5*j = -3*s + 9. Suppose -5*r + 26 = -s*q, q + 6 = -2*q. Factor 0 - 10\/7*b**5 + 2\/7*b**2 + 4\/7*b - 26\/7*b**r - 18\/7*b**3.\nAnswer: -2*b*(b + 1)**3*(5*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 4*t**2 + 9*t**2)*(375*t**2 + 175*t**2 - 129*t**2).\nAnswer: 4210*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 538\/27 - (9 - 3430\/378). Calculate the greatest common factor of x and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/164 and 83\/31824610.\nAnswer: 63649220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55679012 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**3\/6 + 3*q**2\/2 + 2*q. Let f be j(-7). Suppose 2*y = f, 0 = -4*z - y + 8 + 33. Solve -2*n - z = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 40 = 0, 18*o - 51 = a - 22*o + 45*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*a, 134*y - 2*a + 30 = 136*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 685*l**3*s**2*z - 1536*l**3*s**2 + l**3*z - 47*l**2*s*z + 479*s**2*z + 57*z wrt l.\nAnswer: 4110*s**2*z - 9216*s**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 1\/2*b**3 + 0 + 0*b - 1\/8*b**4 + 24*b**2. Determine m(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + 0*z**2 - 2*z**2 + (2*z**2 - 3*z**2 + 2*z**2)*(2 + 3 - 4) + 1910 - 1910 + 10*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/4 - 60*r**4 - 1619*r**3\/4 + 743*r**2 + 10332*r + 18640 = 0 for r.\nAnswer: -233, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 21*j**2 - 159*j - 28. Let a be q(27). Calculate the highest common factor of a and 3392.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + 62. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*l, 38*w + 2*l + 6 = 39*w. Let s(a) = -a**2 - 2*a + 4. Calculate s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 19. Let q = 69 + -64. Find the second derivative of -18*u**2 - q*u - 9*u + o*u**2 wrt u.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 14*o - 8. Let a(f) = -8*f - 1. Let w(n) = -9*n - 1. Let h(t) = 7*a(t) - 6*w(t). What is the smallest common multiple of o and h(-7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m - 52 + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t - 5*t + 3*t)*(1 + 2 - 4) - 1 + 1 - t)*(23*t + 3 - 9*t - 10*t)*(-t**2 + 9 - 9 + (t**2 + 2 - 2)*(4 - 1 - 5) - 4*t**2 + 4*t**2 + t**2).\nAnswer: -8*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67728 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.3095 rounded to one dp?\nAnswer: 103.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1432 (b) 0.4 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25841 times -0.092?\nAnswer: -2377.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02601839 and -77.\nAnswer: 2.00341603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86255621.9 rounded to the nearest one million?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18674653667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by -387903.\nAnswer: 218\/387903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolar. Give prob of picking 1 a and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 41, 31, -77, -337, -803, -1529, -2569?\nAnswer: -3977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 6. Let c = m - -5. Suppose 3*o = -3*k + 36, k - 12 + 60 = c*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/6914 - 10373\/13828. What is the closest to -12 in -2\/15, -4\/5, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = -0. Let l = 7 + x. Suppose l*w = 54 + 69. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159588 and 57.9?\nAnswer: 9240145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552855.\nAnswer: 5, 310571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 12, e: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 21*q - 70. What is the lowest common multiple of s(-5) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s**(2\/39))\/s)*s**10\/s assuming s is positive.\nAnswer: s**(388\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.58 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*a + 3*a. Suppose a*o + 16 = 9*o. Suppose 6*u + p - 12 = u, 0 = o*u + 4*p. Solve -4*c - 18 = -5*r - 2*c, u*c = 5*r - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 3, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y - 198. Let u be x(-20). What is the first derivative of -3*g - 130*g**3 - 5*g**3 + 2*g**u - 70*g**3 + 241 + 3*g wrt g?\nAnswer: -615*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152047 is divided by 384015.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*v**2 + 1496 - 35*v**3 + 16*v**2 + 19*v**3 wrt v.\nAnswer: -48*v**2 - 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-27)\/36 - 182\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-6)*(5 + -2). Let n be 2 + -2 + v + 4. Let r(a) = 11*a - 6*a - n - 2*a. Calculate r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, r: 6, q: 2}. Give prob of sequence xqxr.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 + 569. Let g = i + -128. Let o = g + -103. Solve 4*d - 5*p = -o, 5*p = 3*d + p + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -1\/30*m**5 + m + 0*m**2 + 0*m**4 + 0 + 1\/9*m**3. Find p such that h(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 339 and 18.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9216282.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1771\/(44\/(-4))*6\/42\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 + 2*i**2 + 2*i. Let d(f) = 13*f**3 + 6*f**2 + 7*f + 1. Let z = 2 + 2. Suppose z*w = 2 + 14. Suppose 3 + w = o. Determine o*h(u) - 2*d(u).\nAnswer: 2*u**3 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*p - 62, 7*x = 3*x - 16. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 11. Let m be v(-6). Suppose -m*w - 21 = 19. Calculate the common denominator of (-73)\/w + -5 + 1 and 29\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 - 88 = 0. Calculate the smallest common multiple of 2 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 27*v**2 - 78*v - 37. Determine n(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227982 is divided by 45590.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + 9 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54738, -2, -1\/3?\nAnswer: -54738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) + 152\/16 + (-23 - -20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 2, 2*d = -3*k - 2*d + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, p: 3, z: 3, a: 2, i: 3}. What is prob of picking 2 z?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p + p. Suppose 4*d + 4*d - 192 = p. Solve 2*y - b + 14 = 5, -5*y = -3*b + d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -92, -1, -2\/19, -13?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/12 - j**3\/3 + 3*j**2\/2 + j. Let d be (3 - 5\/2)*-6. Determine q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let x(l) be the second derivative of 1\/12*l**4 + 0*l**3 - 1\/2*l**2 + 0 + 2*l. Let f(h) be the first derivative of x(h). Give r(f(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l. Let z(u) = 24*u - 597*u + 573*u - 909*u**2. Determine z(p(q)).\nAnswer: -14544*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-5)\/15)\/(-1))\/(2\/12). Let w be 33\/9 + 4\/(-6). Suppose v = 5*v + 5*s - 11, w*s = -v + 1. Solve 2*a - g = v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 c when three letters picked without replacement from acmmawwacwcmw.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3087\/5 + 618. Sort 7\/9, m, -4 in ascending order.\nAnswer: -4, m, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 1961.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11712396 divided by -3.\nAnswer: 3904132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 214620.\nAnswer: 214620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 - 9*q + 23. Let y be j(2). Which is smaller: y or -81\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3 - 4*l**2 - 7*l + 7*l + 2. Calculate t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 2:11 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(8\/(512\/64)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1198916, -1198956, -1198996, -1199036?\nAnswer: -1199076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*w = 0, -2*n - 2*w + 5*w - 5 = 0. Suppose -y - 5*h - 24 - 7 = 0, -224 = n*y + 2*h. Let f = y - -99. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3314, 6507, 9698, 12887, 16074, 19259, 22442?\nAnswer: 25623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:45 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d6a + 170?\nAnswer: 10da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2978418536 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0*r**3 + 5*r + 0*r**5 + 1\/30*r**6 + 0 + 0*r**2 + 2\/3*r**4. Find the third derivative of n(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7686 and 77476.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -3 + 1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.150106 millimeters?\nAnswer: 1150106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-16)\/56)\/(4896\/(-2744)) and -151\/120.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 1 + l - 7*l**2 + 8. Let u be (-5)\/((-30)\/18) + -3. What is f(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12002022121221 (base 3) to base 14\nAnswer: 505016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087999823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 1 + 1 + (6*v**2 - 5*v**2 + 6*v**2)*(v - 1 + 1) to x*v**3 + q*v + m*v**2 + r and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32570 is divided by 3042?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 20715.\nAnswer: -1\/4143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13928234 is divided by 1392806?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**8\/336 + o**7\/630 + o**6\/180 + 6*o**2. Determine m so that x(m) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 + 5*n**2 + 61*n - 28. Let d be a(14). Solve 5*h + d*o + 10 = 0, -2*h - 3*o - 5 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 2*r**2 + 12*r - 10. Let h be u(1). Which is the third biggest value? (a) h (b) 1\/11 (c) 7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 990 and 9.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f**3 - 2. Let u(g) = -32*g**3 + 3*g**2 - 6*g + 4. Let j(m) = 32*m**3 - 4*m**2 + 8*m - 7. Let v(l) = 3*j(l) + 4*u(l). What is 5*t(y) - 2*v(y)?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 10 = 0. What is the remainder when k\/8 + 374\/8 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 73915030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4 + (-1 + 7 - 1)*(0 + 4 - 6) - 2 - 1 + 4)*(-2*f - 4 + 4).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2 - 159*o + 990 = 0 for o.\nAnswer: -165, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98422.5 years to millennia.\nAnswer: 98.4225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2032*w - 2*w**2 - 2041*w + 4089*w + 601.\nAnswer: -2*w**2 + 16*w + 601","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -25. Let y = -3.4 + 4.7. Let o = 1 - y. Sort c, o, -4 in decreasing order.\nAnswer: c, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (2 + sqrt(13)))*1 - (sqrt(13) + -2)**2*-4.\nAnswer: -16*sqrt(13) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -4, -5.94, 1\/4, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(42) - sqrt(1512))\/sqrt(6) + ((sqrt(7) + 0)**2 + -2 - (-2*(sqrt(7) + sqrt(63)))**2) + -1.\nAnswer: -449 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1\/3*-3. Let s = -170 - -162. Put x, 5, s in decreasing order.\nAnswer: 5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqvn when four letters picked without replacement from {n: 3, a: 3, v: 5, q: 1}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511259732.\nAnswer: 2, 3, 41979437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -63. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 42*y**2. Let a(o) = 6*o - 1. Let b(d) = -713*d + 124. Let t(g) = 124*a(g) + b(g). Determine t(n(w)).\nAnswer: 1302*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = 4*x. Let c be (10\/(-25) + 0)\/((-2)\/10). Suppose 3*g - 5*h - 29 = -10, -x*h = c*g + 4. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33737\/(-77) - 1\/(-7). Let w = -268 - g. Does 59 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5652938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 10*z**2 - 17)*(6*z - 3*z - z) - 3*z**3 + 19*z**3 + 0*z**3 - 15*z**3 + 3*z**3 - 2*z**3.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 9*c**3 + c + 136 - 137 + 0*c**2 + c**4 in the form s + v*c**2 + q*c**4 + y*c + f*c**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.4, -772, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 750.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/5 - 16\/40. Suppose -a = -3*h - h. Suppose -4 = h*c - 36. Calculate the least common multiple of 10 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -550, -830, -1092, -1330, -1538, -1710, -1840?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6053 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:49 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16401, -65600, -147645, -262578, -410441, -591276?\nAnswer: -805125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/40 + w**6\/32 + w**5\/5 + w**4\/8 + 2*w**2 - 33*w. Determine g so that t(g) = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/77*(-161)\/138*3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 56 = 3*b, 30*c = -b + 34*c - 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-60)*55*((-10)\/4 + 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*n + 16, -3*n - 3*b + 17 = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:51 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + h - 1. Let l be a(1). Suppose -5*c = -10*c + 25. Which is greater: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + s + 0*s)*(-98*s**2 - 61*s**2 - 722*s**2) + 4*s**3 - s**3 + s**3 to d*s**3 + k*s + y*s**2 + q and give d.\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48 - 67*p**2 - 2*p + 43 - 66*p**2 + 8*p**2 - 44*p**2 wrt p.\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2457000 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 748.5362 millennia in years?\nAnswer: 748536.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))\/j)**(5\/2)*(j**(1\/3)*j*j)**(-40) assuming j is positive.\nAnswer: j**(-545\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52580 divided by -2390.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3202 (b) 2\/3 (c) 1\/2 (d) 0.3 (e) -7 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:58 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696035 is divided by 116003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3, -0.4, 62\/395?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/((-4)\/(1 + 1)). Let c be ((-132)\/15)\/(10\/(-75)). Let s(g) = -135 - g**2 + 2*g + c + 66. Calculate s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -60238769 (b) -2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/(-44))\/((-2)\/24). Solve -z = -p*z + 5*o - 16, -2*z - 8 = -3*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -33*u - 1. Suppose -t - 9 = -2*t, -5*t = -2*b - 47. Determine m(b).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7998565591.\nAnswer: 7998565591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 315 - 315.4. Which is the second biggest value? (a) 4 (b) -3 (c) 0 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4 + 96*x**3 + 453*x**2 - 4284*x + 5940 = 0. Calculate x.\nAnswer: -22, -15, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/15*930\/6*1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What is the second derivative of -6179325*o**2 + 1228364*o?\nAnswer: -12358650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 6*b + 3. Let z be j(-6). Suppose k - 2*n = 3*k + 6, -2*n = -k - z. Let s = k - -2. Put 4, 0, s in increasing order.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 219, 603, 1349, 2577, 4407, 6959?\nAnswer: 10353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -21*w + 1. Let f(r) be the second derivative of 2*r**3\/3 - 73*r - 1. Suppose -5*l + 3*n - 6*n + 2 = 0, 3*n - 6 = -3*l. Give l*z(b) - 11*f(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1)\/c*c*c)\/(c**(2\/23)\/c*c))**(-17)\/((c*c\/(c*c*c**(-1)\/c*c))\/c**(-1\/11))**(2\/21) assuming c is positive.\nAnswer: c**(-27673\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**2 + 4 + 3*g**2 - 19*g + g**3 + 3*g**2. Let o be (-51)\/(-136) - (-123)\/(-8). Let j be m(o). Round j to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -71. Let s = x + -42. Sort s, 5, -5 in ascending order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1740 and 95\/44?\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. What is the units digit of s\/(-8) + (4 - (-2275)\/28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2 - (-6)\/6) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) - sqrt(420)*2)\/sqrt(10))\/((sqrt(486) - (sqrt(486) - sqrt(486)*-1)) + sqrt(486) + sqrt(486)) + (4*sqrt(343))**2 + 4 + sqrt(343).\nAnswer: 62*sqrt(7)\/9 + 5492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = -66. Suppose 2*n - 42 = -3*p + 11, -3*n = -3*p - 57. Calculate the smallest common multiple of g and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/16)\/((-75)\/20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2)\/z*z)\/((z\/(z**(-2)*z)*z)\/z))\/(z**(-2))**43)**(-2\/5) assuming z is positive.\nAnswer: z**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 1116 = -900 + 105. Calculate the remainder when d is divided by 72.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-93)\/(-24) + (-33)\/(-264). Solve -7*g = -c*g - 5*i - 1, 0 = -i - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -181, -325, -505, -721, -973, -1261?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20607413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x - 44. Let a be n(15). Does 46 divide 44\/(-33)*((-686)\/4 - a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54696\/41 - 1334. What is the biggest value in w, -2\/3, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5483 rounded to two decimal places?\nAnswer: -6.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)\/(-5 - -3). Suppose m = -a*m + 16. Solve l = -l - 8, 3*z - 4*l - m = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59290)\/2695)\/((-6)\/(-24)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 26294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17238 + 9350. Let l = z - -5188. What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, 1, -1 in descending order.\nAnswer: 5, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s + 547. Give a(-61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -608 (b) -1.54 (c) -4\/5 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -98, 5 in increasing order.\nAnswer: -98, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -12 (c) -1458.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, 5, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 38*t - 1241. Let u be i(33). Which is the nearest to -2\/7? (a) 1 (b) 5 (c) u (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2378245, -2378193, -2378105, -2377981, -2377821, -2377625, -2377393?\nAnswer: -2377125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-65)\/(-78))*(-3)\/(-60)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 126*s - 121*s. Calculate the remainder when 143 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let p(n) = n**3 - n**2 + n - 1. Let t(l) be the first derivative of -l**4\/2 + l**3 - 3*l**2\/2 + 3*l + 274. Give i*p(q) + t(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188*s - 172*s + 426*s + (5*s - 3*s - s)*(-2 + 1 + 2) + 3 + 2*s - 3)*(6*s - 4*s - 5*s) to b + l*s + u*s**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -1 - (-19 - (-20 + -13)) - 15 - -135?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-30) - (-119358)\/180?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139540560 divided by -6745.\nAnswer: -20688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 5*d + 6. Give o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose 3*h = -j + 14, 3*j - 18 = -2*j - 2*h. Suppose -r*a + 316 = -j*s, -a - 3*s + 326 = a. Calculate the greatest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + 4.09. Let w = m + -4. Which is the third smallest value? (a) 5 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + g = -9, 0 = 197*u - 198*u - 4*g + 19. Solve -41 = -6*a - u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(70)*-5)\/(sqrt(1440)*1 + sqrt(10) + 1*sqrt(90)).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 45 = 3*m + 2*i, m + 3*i - 23 = 0. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.29 - -0.2325345955\nAnswer: -20.0574654045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -13. Solve 0*i = -2*i - j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 2. Let c(w) = -15*w**2 - 20. Determine -c(p) + 4*v(p).\nAnswer: 7*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29540345*x**2 + 58921435*x wrt x?\nAnswer: -59080690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7\/z)\/(z**(-3)*z*z)*(z*z\/((z\/z**(-2))\/z)*z*z)**(11\/8))\/((z*z**(-5)*z*z**5)\/((z**(2\/3)\/z)\/z)**24) assuming z is positive.\nAnswer: z**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(243) + 1 + 1*sqrt(432) + ((1*sqrt(363))**2 - (sqrt(3) + 1 + 0))).\nAnswer: -1089 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/105)\/((-10)\/(-15)). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35947.36ml to litres.\nAnswer: 35.94736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100c5 - -63?\nAnswer: -10062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88216051*k + 19160519.\nAnswer: 88216051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbbanfaononfnnbnno. What is prob of picking 3 o and 1 f?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -21. Let t be r + -2 + 3 - -11. Solve -4*f + t = -7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-68)\/(-221)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*2*sqrt(196))\/((sqrt(672)*3)\/(sqrt(66)\/(sqrt(11)*2) - sqrt(6))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -79. Let f = 77 + g. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l. Let p(o) be the first derivative of -o**5\/6 + o**3\/3 + o + 73. Let r(j) be the third derivative of p(j). Determine r(h(t)).\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2548) - (sqrt(2548) + (sqrt(2548) - (1*sqrt(2548) - sqrt(2548)))))*-3)\/(2*(sqrt(484) + (sqrt(484) - (sqrt(484)*-2 - sqrt(484))))))**2.\nAnswer: 5733\/12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h**3 + h**2 - 3*h - 3. Let j be w(4). Suppose -a - j = -4*m, a + 2 = 1. Suppose 4*p - 6*p = -m. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 910, 2896, 5962, 10108?\nAnswer: 15334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5\/6 + 24895*y**4\/2 - 1394872927*y**3\/6 + 5110128525*y**2\/2 + 39031203712*y\/3 + 13940515690 = 0?\nAnswer: -2, 15, 37337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4626*y**3*z + 64*y**3 + 115800*y**2*z - y**2 - 14*y*z wrt y.\nAnswer: 27756*z + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-133)\/3 + -4*(-5)\/60. Let x = s - -67. Suppose -x*o = -22*o - 157. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.6 + -63. Let r be 4\/(-24) + -1 + (-37)\/(-42). Which is the closest to -0.6? (a) l (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrtrxxxtrr. Give prob of sequence txrr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b. Let a be (-20)\/60 - 3\/((-27)\/(-2967)). Let q = a + 334. Solve 0 = -5*g - 0*p + p - q, 4*p + 4 = b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 12*v - 10. Let y be n(-9). Let t = y - 13. Suppose t*m + 296 = 4*q, -4*q + 2*q = 3*m - 153. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 955235\/13 + -73479. Suppose 8\/13*w + i + 2\/13*w**2 = 0. Calculate w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/20*20\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -128, -331, -616?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0 - 1\/420*f**7 - 1\/672*f**8 + 1\/24*f**4 + 1\/80*f**6 + 0*f + 0*f**3 + 1\/24*f**5 - 117*f**2. Let w(y) = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -d. Suppose a - d = 1, 2*a = -p + 8. Let v = p - -15. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -2. Let z(c) = -c**2 + 8*c + 1. Suppose 4*f + 2*g - 10 = 0, -3*f + 7*f - 5*g - 45 = 0. What is the least common multiple of z(j) and f?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725050078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.385921 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 4\/7 (c) 1383\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/8)*j)\/(j\/j**7))**(-50)\/((j**(-1\/4)\/j**(-1\/4))\/(j\/(j*j**(-5))*j**3)) assuming j is positive.\nAnswer: j**(-1343\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.899 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 q when three letters picked without replacement from spkskqqe.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5429543?\nAnswer: 7, 110807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5641 (base 9) in base 4?\nAnswer: -1001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2803 + -2759. Which is the fourth biggest value? (a) -2 (b) -3 (c) k (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3*6\/153). Calculate the common denominator of x\/(10\/4 + 1) and 122\/4*(-4)\/10.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -32, -47, -66, -89, -116, -147?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 30*q**2 - q. Let b be n(-1). Suppose -s = o - 0*s - b, -125 = -4*o - 5*s. Calculate the remainder when o is divided by -1*(-10 + -1)*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 1100220?\nAnswer: -1101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - 2*q**2 - 4. Let r(f) = 3*f**3 - 2*f**2 - 3. Calculate 2*i(n) - 3*r(n).\nAnswer: -n**3 + 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -2 - 13) + -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 720004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-11) + (-980)\/(-55). Suppose -u + x = -7, 0*u - u - s = 4*x. Let g(o) = -u + 2 + o. Let l(b) = 4*b**2. What is g(l(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 - 11*o + 5. What is the units digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*f - 24. Let a(y) = y**3 - 2*y**2 - 10*y + 7. Is a(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -148.75.\nAnswer: 59.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 30\/(-9))*-18. Let q be (-30)\/w - 2\/8. Let u be 18\/(-9)*(q + -2). What is the greatest common factor of 6 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p*q**3 + 31*p*q**2 - 97*p - 5*q wrt q?\nAnswer: -36*p*q + 62*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 84. Is 291\/9 + 7 + (-4)\/h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/(-8) - (-4)\/(-16). Let t(d) = 266665*d - 10. Let l be t(y). Round l to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125835.72831 - 125835. Let a = s - 0.72530816. Let f = -0.003 + a. Round f to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0 (c) 13758873\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77158290 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26453 or 26528?\nAnswer: 26453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {q: 3, z: 15}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 197*v**3 - 6*v**2 + 295*v - 591. What is x(2)?\nAnswer: 1551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12600.673171 rounded to the nearest 10?\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -449460*r**2 + 73548*r - 73548. Let j(g) = -6*g**2 + g - 1. What is -2*f(n) + 147096*j(n)?\nAnswer: 16344*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 579*w. Let v(m) = -3*m**2 + 19. Determine y(v(p)).\nAnswer: -1737*p**2 + 11001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let c = 48 - 40. Let a(o) = z*o - c*o + 6*o. Let w(v) = -9*v. Determine w(a(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55326 is divided by 1037?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -613.213955 rounded to two dps?\nAnswer: -613.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 11 - 2. Let z be (-2)\/3 + m\/(-9). Let o = -30 - -29.5. Which is the closest to z? (a) -0.1 (b) 2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 3. Let w(p) = p - 3. Suppose 4 = -3*v - 5. Give v*y(h) - 4*w(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s = -3*i + 115, -2*i = -4*s + 70. Suppose v + 0*t = -2*t + s, -2*v = 5*t - 37. Calculate the greatest common factor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10413\/356*(-4)\/(-3)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 9232*b.\nAnswer: 4*b*(b + 2308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*2.75.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1473.1 * -41.398\nAnswer: -60983.3938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 7, u: 3, s: 1}. Give prob of picking 1 u and 1 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 36*m + 578 = 5*g, g + 3*m = 130. Solve 18*i = -28 + g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4419*y**2 - 75*y + 19600. Let t(b) = 2208*b**2 - 45*b + 9800. Let g(x) = -3*l(x) + 5*t(x). What is the derivative of g(p) wrt p?\nAnswer: -4434*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41407517 - -15?\nAnswer: 41407532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51672 (base 10) in base 8?\nAnswer: 144730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-27))\/(((-200)\/(-180))\/5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 42*v**2 - 7*v - 229. What is the hundreds digit of x(40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 + 169. Suppose 5*m - p*m - 9*m = 0. Let k be 6\/10*(-2)\/3. What is the closest to -3 in -1, k, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119070 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 824 and 23278?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 9*b**2 + 2. Let f be s(9). Suppose 8 = 2*y - 2*j, -f*j + j - 6 = -3*y. Calculate the least common multiple of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from araxrrjmhhh. What is prob of sequence jax?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -518 (base 10) to base 16\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1382 + -2306?\nAnswer: -c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5 - 22*h**4 - 48*h**3 + 72*h**2.\nAnswer: -2*h**2*(h - 1)*(h + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*n - 40, -9*n + 87 = 5*r - 6*n. Suppose 10*i + 38 = r. Which is the smallest value? (a) i (b) -8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvevvrhirv. What is prob of picking 1 v and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -l - l - 9, 4*l = -r + 9. Let y(h) = h - 8. Let q be y(8). Let f = r + q. Calculate the remainder when f is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 23. Let t be a(-10). Let v(w) = -w**2 - 17*w - 15. Is v(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 52. Calculate the least common multiple of 6 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m)\/m*m**2*m)**(-2\/13) assuming m is positive.\nAnswer: m**(-16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-72)\/(-114) + -1)*1 - -1*1. Suppose 0 = c + c. Are c and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -41*u. Let w(l) be the second derivative of -8*l**3\/3 + 1036*l + 1. Calculate j(w(i)).\nAnswer: 656*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*o - 20. Let p be (-39)\/(-21) + (15\/35)\/3. Let d(g) = -g**3 - 3*g**2 + 2. Let i be d(-3). Solve -3*r + p*t - 4*t = -12, -5*r + o = -i*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 4*j + 3*j)*(-2 + 5 - 5) - 12 + 12 - 21*j to f + v*j and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 6\/5, -2, 0.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132951, -531565, -1195905, -2125965, -3321739, -4783221, -6510405, -8503285?\nAnswer: -10761855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + 0) - (-33 - -26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 18*w + 0.\nAnswer: -18*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.9 - -0.1. Let q = 3.1 - 31.1. Let v = i + q. What is the second biggest value in 3, 4, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 0*r**3 - 4*r**3 + (0 + 0 + 2*r**2)*(4 - 4 + 2*r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 13*k + 12. What is the remainder when u(6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 4*h - 5*h**2 + 2*h - 7. Let l(t) = 14*t**2 + 20*t + 20. Let m(i) = -12*i + 138. Let y be m(12). Give y*l(u) - 17*w(u).\nAnswer: u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2)*((-650)\/(-195))\/(2 + 176\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53.4 or -0.02?\nAnswer: 53.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from {r: 1, m: 5, w: 8, k: 1, o: 3, t: 2}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/45 - (-427)\/(-5). Let w = -195 - 9. Let z = w - a. What is z rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u + 3*n - 10, -2*u - 2*n - 4 = 0. Let d = -1737\/154 + 64\/7. Find the common denominator of (-3)\/88*u\/(-1) and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5208\/51 + (1 - 152\/136). What is the first derivative of f - 1258*k + 2543*k - 1196*k wrt k?\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 25 = -15*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -1)*16\/(-5). Let b be u\/6*(-12)\/8. Solve 52*w**5 - 2*w**b - 2*w**4 + 3*w**4 - 51*w**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0375843t?\nAnswer: 37584300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2363124\/113 or 0.2?\nAnswer: -2363124\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 31. What is l(18)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -16*w**2 + 22*w - 6. Let p(i) = 9*i**2 - 12*i + 3. Let m(h) = 4*b(h) + 7*p(h). Let c(d) = d**2 - 7*d + 5. What is -3*c(l) - 5*m(l)?\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:24 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1401*u**2 + 15434*u - 254. Determine p(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 122 = -118. Let i = 67 - t. What is the remainder when 54 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 10. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000392906 rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/16*128\/96?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -840 divided by -5.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 4*w. Let j be r(-4). Let g be (8\/(-2))\/(10 + 44\/(-4)). Suppose g*y + j - 9 = q, 0 = -4*y + 16. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - 9*i**2 + 11*i - 12. Determine q(-5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 161*y**2 - 14*y - 4. Let v be -4 + (-2 - (-28)\/7). Does 12 divide z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.691 + -4.691. Sort -5, 0.05, x, -0.02 in ascending order.\nAnswer: -5, -0.02, x, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = -4*x. Which is the third smallest value? (a) -1 (b) 3 (c) x (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 446401103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + 9. Solve 0*l = -2*l + 5*c - 2, -2*c + n = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/((-9)\/141))\/18 and (1 - 18\/20)*-86.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*(-27)\/(-720)*10.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*r + 69 - 69)*(3*r**3 - 6*r**3 + 2*r**3)*(r + r - r).\nAnswer: 31*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148 = -7*g + 1281. List the prime factors of g.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5 - (-96)\/140)\/((-5)\/(-35)). Factor 26\/5*k**i + 14\/5*k**4 + 0 + 2\/5*k**5 + 8\/5*k + 6*k**3.\nAnswer: 2*k*(k + 1)**3*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 35*z - 6. Suppose -67*i - 69*i = 408. Let u(y) = 17*y - 3. Give i*o(h) + 5*u(h).\nAnswer: -20*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02834 to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2258, 2261, 2264?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318022668 to the power of 1\/3, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, b: 1, v: 1}. What is prob of sequence nnv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1e9 (base 16) to base 4\nAnswer: 13221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 1. Suppose -2*z = 5*h - 5 + 17, -16 = -5*z - h. Let o(j) = -2*j**3 + 6*j**2 + 4*j - 8. Give z*m(v) - o(v).\nAnswer: 2*v**3 - 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -395 + 187 - 3*v + 164 + 0*v - 2*v**2 - v in the form r*v + a + q*v**2 and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18 = -2. Suppose -g*j + j = -21. Suppose 0 = -2*i - 5*v + 55, -3*i + 0*i + 3*v + 72 = 0. Solve -j*k + i = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2119 + -2134. Let h(v) = v**2 + 16*v + 22. What is h(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 >= -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 18*r - 1\/42*r**4 + 10\/7*r**3 + 0 - 225\/7*r**2. Solve f(i) = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 9671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(220\/(-32)))\/(4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11046350 + 5?\nAnswer: -11046342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {n: 1, s: 6, f: 6, r: 3, w: 1, x: 1}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258531217?\nAnswer: 1258531217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/9)*(d**(-4)*d)\/d)**(-38) assuming d is positive.\nAnswer: d**(1672\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*h + 182 = 222*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 8)*(-1938)\/357. Is (31 + 160)*(0 - 1 - k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvf when three letters picked without replacement from fpffpfopfxppvfofff?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34912798 equal to 34912796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b5ae (base 16) to base 6.\nAnswer: -2222422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3024\/(4464\/(-124))*-3*(-2)\/7\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, 14071, 38646, 73051?\nAnswer: 117286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4124722711?\nAnswer: 19, 89, 2439221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((45 - 21 - 16)*(4 + 0 - 3) + 2 - 5 - 1)*(1 + 1 - 3)*(4 - 2 + 0)*(4*g**2 - 2*g**2 - g**2).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 2*w**2 - w**2 - 16*w**3 + 9*w**3. Is k(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 1183\nAnswer: 79\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 466*c**3 + 0*c - 463*c**3 + 1399*c**3 - 473*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-494)\/19 - -40) + 7. Solve 30*t = -3*m + 26*t + c, -6 = 2*m - 4*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 597 - 388. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 13 + (4 - 1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15744 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 4*s = -2050, -3*s + 410 = l. Let u = l + -408. What is the greatest common factor of u and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47518384 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 602148 and 3842484?\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-6) - (-1 + 2) - 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1867 and -44457.\nAnswer: -42590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 1, r: 2, c: 1, t: 1, b: 1}. Give prob of picking 1 r and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31, -1, -13, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 11) + -10 - -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/651 and 32\/9.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -447300 to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 35 = 2*k - 1, 6 = 3*x for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/((-7)\/(-147)). Let o be ((-2)\/3)\/(c\/63). Find the second derivative of w - 3*w**o + w - w**3 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 16. Suppose 0*x + 2*x = u. Solve 21 = 5*p + q, x*p - 4 = -4*p - 4*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2)\/8 + 21403917\/12. Let c(k) = 466994*k - z*k + 19 - 9. Let s be c(-6). What is s rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -1, 4172, 0 in decreasing order.\nAnswer: 4172, 0, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*c - 13 = -w, 2*c + 8 = 4*w. Let b(k) = -k + 7. Let d(v) = 6 - v - 2 + 1. Determine w*b(n) - 7*d(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 2. Is l(-6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -p + o, -466*p + 4 = -469*p - 5*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*5\/(60\/8) + 4. Solve 0 = q*b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3392\/(-3816)*126\/4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -60, -87, -114, -141?\n\"Answer: -27*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - m)*(0*m + 0*m - 2*m**2)*(204*m + 60*m - 151*m).\nAnswer: -678*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356 = -289*o - 204 - 1041 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + -2 + (-135 - -99).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 0.0953 (c) 0 (d) -2\/3 (e) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1944806, -1944804, -1944800, -1944794?\n\"Answer: v**2 - v - 1944806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2679*c**5*n - 504*c**4 + c**2 + 2*c*n + 5852050*n wrt c?\nAnswer: 160740*c**2*n - 12096*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 372506107 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 + 15. Let o = -6.6 + g. Which is the smallest value? (a) o (b) -0.03 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -3 - (-1 - -9 - (-21 - -14 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41031731 from -13100.\nAnswer: -41044831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:02 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -17*y - 2*y**2 + 5*y + y**3 - 2*y**2 + 11. Suppose -2*k + 3*j = -20, 4*k - 2*j = 2*j + 36. Is c(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -17.837?\nAnswer: 20.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 50821.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**4\/12 + v**2. Let p(x) = -x - 3. Let m be p(-5). Let l(q) = 5*q + 2 - m*q - 2. Give l(b(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5700003.\nAnswer: 3, 257, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r**3 + r**2 + 16*r + 3. Let c(q) = -15*q**3 - 2*q**2 - 23*q - 5. Let s(m) = 5*c(m) + 7*l(m). What is the hundreds digit of s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -1 - -4 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/32 and 91\/1328.\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -930?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-19)*f**(12\/7))\/(f**(-23)*f\/((f\/f**(2\/9))\/f)))**(-20\/3) assuming f is positive.\nAnswer: f**(-54800\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5608, -5610, -5612, -5614, -5616, -5618?\n\"Answer: -2*z - 5606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-3 - -6) + -1. Let k = -5 + u. Let l be 75 + (0 - (k + 0)). What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*v - 1317 + 1317 in the form l*v + z and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41506789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310 + (4 - 1)*-1 - 2.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 18*d + 4. Let b = -58 - -105. Suppose d = -0*p - p + b. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1784080 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4018672 - -14?\nAnswer: 4018686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1086, 2193, 3294, 4389?\n\"Answer: -3*v**2 + 1116*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 16. Let v be ((-1)\/3)\/(u\/(-9)). Is ((-39)\/v)\/(5\/10*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689 = 13*b, 3*b + 0*b = 2*g + 3*g - 0*b - 0*b - 159 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8702 by -622.\nAnswer: 4351\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z - 4*z + 8*z)*(-2 + 0 + 0).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + sqrt(80) + (-2*sqrt(80))**2 + sqrt(80).\nAnswer: 8*sqrt(5) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1678 + 1633 + (12 - (-1 + 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 + 0 - -18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*k + 11304 = 788*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z + 118*z - 3592163 + 16232. What are the prime factors of z?\nAnswer: 3, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -368885*b + 597997.\nAnswer: -368885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40281 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: Which is greater: 937 or -3657?\nAnswer: 937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 352 - 4*k + 182 - 3 + 3*k + 173.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j - 9. Let k(o) = 3*o - 4. Let s(c) = -c + 2. Let z(q) = -4*k(q) - 9*s(q). Let x(b) = 2*a(b) - 9*z(b). Let m(h) = -2*h. Give x(m(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -92040*q**3 - q**2 - 148*q - 149. List the prime factors of o(-1).\nAnswer: 2, 17, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2975 in -0.2, 0.084, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/13 - 93684*d**3\/13 + 1462594560*d**2\/13 - 7607439589376*d\/13 - 45697311178752\/13.\nAnswer: 2*(d - 15616)**3*(d + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0 = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3379*g**3 - 13*g + 10. Let z(f) = -2254*f**3 + 9*f - 7. Determine 5*o(t) + 7*z(t).\nAnswer: 1117*t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 37*c + 84. Let h be v(-9). Let z be h\/(-10) - (9 - (-81)\/(-9)). Find g, given that 4\/5*g**3 - 2\/5*g**2 - 4\/5*g - 1\/5*g**4 + z = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8347, -16700, -25061, -33436, -41831?\n\"Answer: -h**3 + 2*h**2 - 8352*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6847083 rounded to the nearest 10000?\nAnswer: 6850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -58*x**2 - 23*x - 11. Let s(l) = -l**2 + 2*l + 1. Give 2*h(f) + 22*s(f).\nAnswer: -138*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.09, -5\/3, -0.2 in decreasing order.\nAnswer: 5, -0.09, -0.2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 i, and 1 t when four letters picked without replacement from {t: 2, l: 1, i: 2, y: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -2 + (49 - 6 - 29).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -4*(-2)\/4. What is the remainder when ((200\/15)\/(-5))\/(1\/(-6)) is divided by n + 3 - (-8)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 10*z**2 - 4*z + 10. Let j be n(-8). Let u = -104 + 114. Calculate the highest common factor of u and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95596524*h - 268569530 with respect to h.\nAnswer: -95596524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.84 times -655326?\nAnswer: -1861125.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 13*n - 75. Suppose -2*k + 6*j + 34 = 2*j, n*k - 3*j - 57 = 0. What is the lowest common multiple of (32\/(-20) - -1)*-15 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 32. Let a be -21*(p + 2)*1. Let k = -14 + a. Solve -3*v = -w + k, 4*w + 5*v = 3 - 43 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - s - 23, 3*r - 4*s = -6*s + 6. Let m = 226 - 224. Solve r*u = 0, -2*d = 5*u - m - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 168 = 124. Let s = 79 - f. Solve -5*j + s = -19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2. Let q(h) = h - 9. Let n(z) = -2*q(z) + 9*r(z). Let g(l) be the third derivative of l**5\/60 - l**2. Determine g(n(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4536 - 132*g + 4536)*(2 + 4 - 4 + (0 + 2 - 1)*(-2 + 2 - 2) - 2 - 2 + 2 - 1 - 3 + 2 - 2 + 2 - 2 - 1 - 4 + 4 + 4 + 0 - 5).\nAnswer: 1056*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2893 + 2075.2. Round c to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210843053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*c, -c + 3*c = s + 3. Let w = -53 + 403. Let g = w + -347. Solve -y = -5*b + 23 - g, -4*b = 3*y + c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 153969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = -3*z, 3*z - t = -0*z + 10. Let o(p) = p + 2. Let q be o(2). Let v(n) = -q*n + z*n - n. Let g(k) = -k**2. Determine v(g(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9524 - 647645\/68. Let w = 1\/17 - k. What is the nearest to -1 in -3\/5, 0.3, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**7\/2520 - r**6\/270 - r**5\/72 - r**4\/36 - r**3\/3 + 5*r. Let b(w) be the second derivative of l(w). Solve b(a) = 0 for a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2 + 4*d*n + 3688*d + 134*n + 29 wrt d.\nAnswer: 2*d + 4*n + 3688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:04 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*q - 405 = 104*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1403 and 9665267.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*u - 15, -5*p + 22 = 2*u - 3. Let x be 285\/20 - 6\/(-8). Suppose 6*d + 3*a - 9 = d, -d = 5*a - x. Solve -p = -m - d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4515*s + 9502. Give c(2).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*h**2*r + 2*h**2 - 2*h*r**3 + 1116*r**3 wrt h.\nAnswer: -60*h*r + 4*h - 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - -6.92. Let c = -3249168.999999 - -3249176. Let l = c - j. Round l to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4284644.\nAnswer: 2, 7, 13, 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/5 - 108*a**4\/5 + 68*a**3\/5 + 696*a**2 - 10242*a\/5 + 6804\/5 = 0. Calculate a.\nAnswer: -54, -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*u - q, 4*q - 24 = u + 3*u. Let o be (4\/8*-10)\/(1 + -2). Suppose -y = 2*y + 2*m - 15, 0 = -2*y + 4*m - 6. Sort -3, o, y, u in increasing order.\nAnswer: u, -3, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32180367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 15. Suppose -3*p + 32 = 5*h, 0 = -h + n*h - 4*p - 4. Suppose 0 = -h*x + 8*x - 48. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 5. Let p be 8\/(-12) + 99734\/s. Let m = 1623 + p. What is m rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/42*(-16)\/(-20)*-2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 = 6*u, -3*j - 4*u = 5. Solve -9 + j = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 154. Suppose -3*g - g + 72 = 0. What is the remainder when j(23) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -102. Let b(v) be the second derivative of 2*v + 0 + 1\/20*v**5 - 1\/12*v**4 + 1\/2*v**2 + 0*v**3. Determine b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*k - 47465 = -15505 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**3\/12 + d\/4 + 57. Factor s(t).\nAnswer: -(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - -4)\/(2\/(-2) + 2). Suppose y*h - 7*h = 27. Solve 4*o - 9 = -5*p + h, p - 4*o + 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72.18 - -68.18. What is the fifth smallest value in y, 0.1, -2, -4\/9, 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1251357 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 64*v**2 + 196*v - 28. Let m(n) = -13*n**2 - 39*n + 6. Let i(w) = -14*m(w) - 3*x(w). Find the second derivative of i(u) wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/65 (b) 0 (c) -3.7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + 16 + -4) - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -706142 by 10.\nAnswer: -353071\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(150\/(-2)))\/(8\/(-10))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u + 3. Let g be y(-3). Suppose 5*w = g*w - 61. Let m(t) = t**3 + 15*t**2 - 2*t - 14. What is the remainder when w is divided by m(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 1\/115 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20988 is divided by 123.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45315127 and 116?\nAnswer: 45315011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:34 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 36*i**2 + 203*i + 137. What is m(41)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**6\/120 + 3*n**5\/20 - 5*n**4\/8 + 15*n**3 + 63*n. Let i(k) be the second derivative of g(k). Factor i(p).\nAnswer: -3*(p - 5)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4384 and 5387936.\nAnswer: 5387936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/544 and 103\/48.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(-2*sqrt(7))*2 + (-4*(sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 2))) + sqrt(2448))**2.\nAnswer: 575*sqrt(17) + 22096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 4:20 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -538 + 5?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77246 times 20?\nAnswer: -15.4492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g. Let o = 124276 - 124275.5. What is the nearest to g in -0.2, -0.36, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 8*q**2 + 7*q + 3. Calculate d(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6747627 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69803.71 litres in millilitres?\nAnswer: 69803710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 165\/35)*(-1 - 0)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3786733419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241 and 390661?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.01 and -2.45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 21*p**2 + 26*p - 25. What is the units digit of z(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:32 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 8.6. Let f = 45.6 + -42. Let s = f - j. Sort s, -2, 0 in ascending order.\nAnswer: -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -149*h**5\/20 - 275*h**4\/12 + 122*h. Find the third derivative of t(b) wrt b.\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -233 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*v + 30*v - 3*v**5 + 4*v**4 - 4*v**4 wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1536)\/16640)\/(1\/5))\/(15\/(-1105)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 844938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjkp when four letters picked without replacement from {k: 10, j: 4, p: 1, h: 3, f: 1}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4 and 63\/(-84) + (-46)\/(-52).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3503093 (base 10) in base 7?\nAnswer: -41530046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/(-475))\/(((-96)\/90)\/4)*1\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1468621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(245) - sqrt(5)) + 0 + sqrt(10)\/sqrt(2))*-5 - ((-1*sqrt(405)*-2 - (sqrt(405) - (-1*sqrt(405) + 5))**2) + -5).\nAnswer: -163*sqrt(5) + 1655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1649 + -4659. What is the common denominator of -46\/9 and ((w\/20)\/7)\/(3\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from hehhhe?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1855 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1476*z - 2. Let p(x) = -3*x. Calculate p(b(o)).\nAnswer: 4428*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3846 and 2.\nAnswer: 0.7692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 7*h**2 + 15*h + 113. What is the lowest common multiple of 17 and c(0)?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 217777*r**4\/12 + r**3\/3 + r**2\/2 - 12*r. Let g be c(3). Suppose 0*d + 2*d - g = 0. What is d rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71282285*n**2*x**2 + 3*n - 120200738*x**2 with respect to n.\nAnswer: 142564570*n*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5731, -11362, -16993?\nAnswer: -22624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 + 4*z**3\/3 - 9*z**2\/2 + 4*z - 227. Is v(7) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 205 - 134 = 13*j - 147, 2*q - 26*j = 7*j - 559 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = 4*m. Let l = 8 + m. Suppose 0 = 3*g + l*g - 198. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3072029482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 v when three letters picked without replacement from {v: 2, o: 1, x: 1, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/77 and -64\/1375.\nAnswer: 9625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 = -9. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 10*x - 14*x + 12 = 5*d, -15*x = 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*h**6 - 5542*h**4 - h**3 + 2437635*h**2?\nAnswer: -9960*h**3 - 133008*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5647836 to the nearest integer?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = 0, b - 2 = 5*u - u. Calculate the least common multiple of b and (7 - -1)\/((-3)\/(-6)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1632\/40)\/12 + (2 - 5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36348168 - -3?\nAnswer: 36348172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/522 + (-6 - (-5409)\/81).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793740749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36977?\nAnswer: 103, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159862 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 - 84053*c - 4135408. What is f(-49)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -11*x**2 + 113*x + 11. Is d(-13) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v + 448. Let a(u) = 1129*u. Determine a(n(x)).\nAnswer: -11290*x + 505792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3426954940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2\/21, 5, -4.\nAnswer: -4, 2\/21, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -1 - (23 - 39 - (-12 - 1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100 - 10100000001111?\nAnswer: -10011100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**2. Let n(d) be the first derivative of -3*d**3 + d**2\/2 + 4. Let s(l) = 6*i(l) - 5*n(l). Find the second derivative of s(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4379 is divided by 132?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u - 1 + 1 + (-2*u + u - u)*(0 + 5 - 3) + 12*u - 25*u - 22*u + 2*u - 3*u - u.\nAnswer: -47*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17764 + 5?\nAnswer: 17770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((836\/513)\/((-561)\/(-153)))\/(1\/(-72)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 12 - (99974\/(-888) + 126).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -30026872 in decreasing order.\nAnswer: 1, -4, -30026872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 9*n - 29. Let m be i(-12). Let h = -31 - m. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33303 + 23230?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 102\/15 - 4 - 14152\/43615*11?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = 0, -7*p + 962*s - 967*s - 136 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43725*u - 43687*u - 38 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -457.067 + 39.087. Let i = h + 418. Which is the nearest to 0? (a) 3 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*f**4 - 696*f**3 + 1124*f**2 - 520*f + 74 = 0. Calculate f.\nAnswer: 1\/3, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -119*u - 17769 + 28356 - 17013 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -3)*(-3)\/6. Let b = 0.03 - -0.37. Suppose w = -4*o + 5*w, o + 3*w = -20. What is the second smallest value in b, q, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 6*y + 3. Let w(s) = -s**3 - 5*s**2 - 6*s - 2. Let p be w(-4). Let d be z(p). Let c = -32 + 34. Solve -d*j - c*j = -10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 4. What is the second derivative of 3*a**2 - 3*a**l + 5*a**2 - 5*a wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.686123 rounded to 1 dp?\nAnswer: 241.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -81*h + 980. Give d(13).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40445271817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 2, -31, -1\/231?\nAnswer: -1\/231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*m*v**2 - 56*g*m*v - 7*g*m - 3*g + 3*m wrt v.\nAnswer: -4*g*m*v - 56*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i + 7. Let d = 740 - 748. Determine h(d).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q + 2*q**2 - 5*q**2 + q**2 - 3*q + 6*q in the form f + s*q**2 + j*q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - -8.1. Let r = 2.7 - 4.3. Let s = -0.4 + r. What is the closest to 1 in 3, s, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (2*sqrt(12) + sqrt(12)))\/sqrt(4) + 3 + (sqrt(3) - (0 + sqrt(3) + sqrt(3))).\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102999073 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a factor of 241151295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 81336*r**3 - 2 - 2*r**4 - r**2 - 81344*r**3 + r + r as w + a*r + p*r**3 + q*r**4 + h*r**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -21*i**2 - 105*i + 285. What is t(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -13181\/46642 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1473616 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -56. Suppose k = h + 1. Let f be -6*(-2)\/k*2. Solve f = -2*r, r - 4*r + 4 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g + 78*g - 18 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233 - -1259. Let q = 1491.99359 - i. Round q to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1 - 2 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -409337 (base 12) in base 4?\nAnswer: -3312322123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377065889?\nAnswer: 3, 37, 277, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12985447.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 4 in ascending order.\nAnswer: -1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3 - 6*z + 68. Let j(m) = 2*m**3 + 3*m - 28. Determine 5*j(c) + 2*w(c).\nAnswer: 4*c**3 + 3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 19. Suppose 6 = -2*r + 4*z, 0 = 2*r - 5*z + 2*z + 5. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102628?\nAnswer: 2, 25657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091022709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293 + 288. Let v be (-40 + 41)\/((-1)\/h). Solve -v*z = 6 - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*p. Solve p = 2*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -59 - (1 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.4*-0.11.\nAnswer: 1.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n. Suppose -3 = 2*y - y. Let v = y + 5. Solve n = q - 7 + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = y - 4*y + 12, 2*l + y = 3. What is the tens digit of 8 + l*(1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41.8 - -7.2. Let s = b + -105. Let l = 56.000137 + s. What is l rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 18*z**2 + 4*z - 27. Calculate a(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:56 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brppcrxpcrcrprbpcjbc. Give prob of sequence jx.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -65*k**3 + 122*k**2 + 247*k - 2. Calculate p(-2).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 + -0.8. Let p = -127 + -41. Let t = p - -166. What is the nearest to -1 in v, t, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/6, -2\/17, -3\/25, 0.1, 0.5 in descending order.\nAnswer: 9, 0.5, 1\/6, 0.1, -2\/17, -3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 114 = -x. Let q = -26 + x. Let s = q + -8. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3584 and -35095.\nAnswer: -31511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68510187, 137020375, 205530565, 274040757, 342550951, 411061147?\nAnswer: 479571345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-607)\/(-7891))\/((-24)\/39).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96568.16 weeks in minutes?\nAnswer: 973407052.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-5)*v)*v*v\/((v\/(v**6\/v))\/v*v))\/((v**(-2\/3)*v*v)\/v)**(-31)*(v\/(v*v\/v**6)*v*v**(-2)\/v)**(-10\/7) assuming v is positive.\nAnswer: v**(358\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17661 - -388449\/22. What is the common denominator of 15\/2 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -461, -0.4 in descending order.\nAnswer: 189, -0.4, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let k be (-2*4)\/(4\/(-2)). Let u(g) = -4*g - 9*g - k*g + 3*g. Calculate s(u(m)).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2058*k**4 - 41970*k**3 + 7*k**2 - 2111702*k + 7 wrt k?\nAnswer: -49392*k - 251820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -121*b - 10. Let d(o) = 146*o + 9. Let c(t) = -5*d(t) - 6*f(t). Let g(p) = 27*p**2 + 1. Calculate g(c(w)).\nAnswer: 432*w**2 - 3240*w + 6076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396))\/(sqrt(484)*-2))**2 + 5.\nAnswer: 64\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25706, -101742, -228460, -405854, -633918, -912646, -1242032?\nAnswer: -1622070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 826, 871, 922, 979, 1042?\n\"Answer: 3*z**2 + 36*z + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -6. Let l(h) = -6*h + 6. Let g be l(2). Is f smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 37. Suppose 2*p - 63 + d = 0. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(96\/128*(-2)\/24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/c**(-5)*c\/(c**(2\/9)*c))\/(c**12*c\/c**(4\/7)))**12)**(-2\/89) assuming c is positive.\nAnswer: c**(2344\/1869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*w - 3*b, w - 15*b - 3*b = 93 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 778191901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45574 + 142687 + 166032 + 146533 - 84332)*(-6*x**3 + 0*x**3 + 5*x**3) to the form t*x + l*x**2 + o + d*x**3 and give d.\nAnswer: -416494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*q - 10 = 0, -h - 4*q = -q + 5. Solve -4 = 4*m - 4*v, v + h*v = -5*m + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 + (-5 - (-3940)\/756)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42812 is divided by 10660?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*d - 5*u - 8, 0 = -5*u - 5. Let k = d - -5. Let p = 68 + -65. Calculate the remainder when k is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 180 = 50558*m - 50554*m, 3*m = -4*z - 138 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12087 (base 9) to base 8.\nAnswer: 17642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 453924532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + i + 9 + 10, -16 = -4*x + 4*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -467\/8, -3\/10, -1, -0.5.\nAnswer: -467\/8, -4, -1, -0.5, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 10. Calculate the smallest common multiple of r and (-8)\/2*(-2)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6 and 71\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 3*g - 3*t, -468 = 2*g + 3*t - 467 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 5\/2900131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 - 744*p**3 - 2*p**2 + 2*p + 754 wrt p?\nAnswer: 24*p**2 - 4464*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -1, 23.8, 1\/4, 0.07, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658576 a multiple of 911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -267288.\nAnswer: -1\/9546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 118, 238, 416, 670?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 0*a**3 - 12*a**3 + (0*a + a**2 + 0*a)*(-26 + 26 + 18*a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(168\/(-8)))\/((-1)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 832*r - 213 - 209 + 13*r**2 + 839*r - 1671*r to the form s*r + f*r**2 + a and give a.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 18, n: 2}. What is prob of picking 3 y?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 - 18*f - 23. Determine s(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4 + 35*z**3 = 0. What is z?\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449169 at most 1449184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3423551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 296692 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*g - 670 = -6304 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from eveeeeeevevevvveeve?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-3)\/18*3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 72 = m. Let p be (-4)\/(-14) + m\/(-42). Suppose -p*z = -205 + 43. Calculate the greatest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64 - 13*s - 7310*s**5 - 13*s - 15*s - 4718*s**5 + 27*s wrt s.\nAnswer: -240560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - n = 5 - 4, 3*k = 5*n + 29. Let q(v) be the third derivative of -v**6\/120 + v**5\/15 + 5*v**4\/24 - v**3\/3 - v**2. Is q(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 54181872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1164 - -444. Let y be -2 + 1\/(a\/(-35133)). Let l = -761\/15 + y. Find the common denominator of -83\/6 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from xgxrghrhx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.92 + -0.48. Let w = u - -8. Let s = w - -0.1. Put s, -1, -5 in ascending order.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) + sqrt(704)*-1)*2 - sqrt(704)) + 0)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32759 + 10638*a**2 - 32759.\nAnswer: 10638*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 12*u**2 + u + 41. What is the remainder when 57 is divided by v(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9478971?\nAnswer: 3, 569, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79015507.845544601 + -0.054455399. Let f = 79015418.9000109 + d. Let q = 89 + f. What is q rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2064\/869?\nAnswer: 2064\/869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2123\/17 - 2\/(-17). Let f be (o\/100)\/(1\/148). What is the highest common divisor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11439199?\nAnswer: 197, 58067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 13) + (-4 - (24 + -15)) + (-49 - -1).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.3 (c) 0.1 (d) -44 (e) -10 (f) -5 (g) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3449*b**4 - 3447*b**4 - 109*b**2 - 36*b**2 + 3 - b)*(-5 + 0 - 2)*(1 - 5 + 2) in the form z*b**2 + j + h*b**3 + m*b + q*b**4 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 16*y**2 + 201*y + 5. Calculate n(8).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, 2\/3, -0.3, 9, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10952759, -43811022, -98574793, -175244072, -273818859, -394299154, -536684957?\n\"Answer: -10952754*l**2 - l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1118)\/(-75465) - (-1792)\/6615\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.94 and -6.\nAnswer: 17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -51769 (base 13) in base 11?\nAnswer: -9a995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80711 - 7492 + 58331 = 5262*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2475 - -20064?\nAnswer: 17589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.057 (c) 56397\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 2\/3*k**3 + 0*k**5 + 0*k**2 - 1\/24*k**4 + 0 + 1\/360*k**6 + 5*k. Let g(x) be the second derivative of w(x). What is g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -3, 4\/39, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17337 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/24 and -77\/124.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)\/(n\/(n**(4\/9)\/n)))**(3\/20) assuming n is positive.\nAnswer: n**(-16\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111130 (base 11) to base 15.\nAnswer: 28760d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/10*(-65)\/117*3. Let w(d) be the third derivative of 0 - 25\/12*d**4 + 0*d - 4\/15*d**6 + d**s + d**3 + 28\/15*d**5. Factor w(f).\nAnswer: -2*(f - 3)*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (16\/(-6) + 5\/(-15)). Suppose 0 = 4*u + q*i + 20, -u - 4*i + 2*i - 8 = 0. Is 1\/u + 346*(-3)\/(-24) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 + -4)\/30)\/(9\/(-54)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, w: 15}. Give prob of picking 2 w.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/55 and 8\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9030 and 308?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzdbbjzbbnbzd. Give prob of picking 2 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/141 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 593123 and 161173.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/2 (b) -1.62 (c) 3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 8*d = -11*a + 1344, 10 = 5*d. Solve -347*y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)\/q*q)**41\/(q*q*(q**3\/q)\/q*q)**(-3\/4) assuming q is positive.\nAnswer: q**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7049.\nAnswer: 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3*w**3 + 10 - 7.\nAnswer: -3*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4\/8 + 469215*z**3\/8 - 24462524025*z**2\/8 + 425117896681125*z\/8 = 0.\nAnswer: 0, 52135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 605, 1, -5, 10 in increasing order.\nAnswer: -5, -4, -3, 1, 10, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18343)\/(-8) + 13\/104)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1862 - 328. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from ebebbbvs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5 + 4 + h + 1. Give r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760444 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**7\/70 - m**4\/8 + 3*m**2. Find the second derivative of g(a) wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 13*z - 8*z + z + 4*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**3 - 14418808*d**2 - 4*d + 14418808 = 0?\nAnswer: -1, 1, 3604702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -22038\/11 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/80 and 89\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-4))\/((-15)\/80*12).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usuuuuusuuus. Give prob of picking 2 u and 2 s.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15107 - 1d?\nAnswer: 150d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14034 divided by 2339.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2547 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -136, -139?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24*((-8)\/6)\/(-4). Let d = c + -3. Put -3, 1, d in decreasing order.\nAnswer: d, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 2, 3, 4?\n\"Answer: f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 170\/(-60)*81\/(-14). Let q = t + -120\/7. What is the fourth biggest value in 2, q, 4\/5, 2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1186\/(-6))\/((-20)\/(-6)). Let u = -59 - t. Find the common denominator of u and 5 - -1 - (1\/(-1))\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8600 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 25) + (1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 33.1. Is -17\/6 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*t + 9*t + 5*t + 4 - 3*t - t + 3*t + (0*t + 0*t - 2*t)*(2 + 3 - 4) + 0 - 2*t + 0 + 2*t + 0 + 0.\nAnswer: -7*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 24 - (-5738)\/(-342)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 1642, 3222, 5196, 7564, 10326, 13482?\nAnswer: 17032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4322510.\nAnswer: 2, 5, 432251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 7. Suppose 0 = -4*x + 5*c + 15, -2*c = -2*x - 6*c + 14. Let j(b) be the second derivative of 5*b**3\/6 - 4*b**2 - b. Calculate x*j(r) - 6*p(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 309.6815ml?\nAnswer: 0.3096815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.770957 centuries in decades?\nAnswer: 17.70957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226057356 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 29*j - 44 = z, -3*z = -2*j + 12. Solve -34*c + 3*t = -31*c + j, 3*c = 5*t - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 121*l - 2426. What is m(20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*y + 4 = 0, -5*n - 5*y + 50 + 10 = 0. Suppose 40 = 3*p - n. Suppose x - 8 = p. What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z + 136*z**2 - 40*z + 49*z + 40*z**2 + 1 + 4.\nAnswer: 176*z**2 - 26*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18 - 19)\/(1\/10). Calculate the common denominator of 1\/4 and (23\/15 + 3)\/((-12)\/v).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-27)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 2*a**3 - 17*a + 23*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114*(-3)\/(90\/(-10)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342*z**2 - 8879 + 8879 to a*z**2 + j*z + y and give a.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-28)\/(-350))\/(8\/(-10)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-4)*(4\/240)\/(9\/((-2511)\/31)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(475) + -1) - sqrt(475))**2.\nAnswer: -20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4147, -8811, -13475, -18139, -22803?\n\"Answer: -4664*t + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -31. Let k = -32 + 17. Let h be k\/m*6\/(-5). Solve -h*g + 6*g = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003583 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 e when three letters picked without replacement from ueeuebuuuebbeuueeee.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*v + 59, -2289*v + 3*o + 49 = -2293*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 516 - 198*v - 1005 + 299 wrt v.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024127941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.3 + 99.3. Which is the nearest to 0? (a) r (b) 4 (c) -3\/2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*m + 11, 0 = 67*r + 59*r - 130*r - 3*m + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - x)*(4 + 0 - 2) + (1 - 1 - 2*x)*((3 + 4 - 5)*(-28 + 7 - 4) - 6 + 1 + 1)*(0 + 2 - 5).\nAnswer: -326*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l - 148 = -292 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 836 or 485?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118873529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 6. Let v(b) = -1. Let z(g) = -5*d(g) - 30*v(g). Let s(h) = 4*h + 0*h - 3*h. Determine -22*s(m) - 2*z(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqitqqqqwtwqwwqq.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)\/w**(-2\/5))\/(w**(-2\/5)\/(w\/(w**(-4\/5)*w)))*w**(3\/2)\/w**(-6)*(w**1)**(-18\/13) assuming w is positive.\nAnswer: w**(1107\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2667.4 + -2667. What is the closest to -2 in 37\/2, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.21 (b) 921\/13 (c) 1 (d) -2\/3 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6071 and 715.\nAnswer: -4340765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1 + 2) + 5. Suppose -v*f + 46 = m, 4*f = -6*m + m + 38. Solve 5*n - f = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 16*h**3 - 7 + 75 - 33 to the form q*h**3 + c*h + x + m*h**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 4*p**2 + 3*p + 4. Determine y(-5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 + 186. Let p be (-4)\/(-10)*(12075\/(-14))\/d. Calculate the greatest common factor of p and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-132)\/330 + 21007*1\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/5 + 9*q**4 - 27*q**3 - 381*q**2 + 2052*q\/5 + 756 = 0. Calculate q.\nAnswer: -15, -7, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1905, -0.06, -6\/13 in increasing order.\nAnswer: -1905, -6\/13, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 o, and 1 g when three letters picked without replacement from lumplguloouuluuppu.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 3*s**3 - 90*s**2 + 5 - 5*s**4 + 91*s**2 as r*s**4 + q*s + g*s**3 + i + h*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.741 - -16.741. What is the third biggest value in w, 2, 43?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 870 - -128?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-537995.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546.5 + 0.049267?\nAnswer: 1546.549267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/11076 and 119\/11076.\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92615727 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 98*u**2 + 0 - 25\/24*u**4 + 0*u + 31\/3*u**3. Find the first derivative of w(o) wrt o.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 12*t - 11*t - 2980, -5*i - 4*t + 3725 = 0. Let o = 753 - i. Solve -j + m = -3, 3*j - o*j - m + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-319 + 319 + 11*o)*(-3*o - 4 + 4) + (0*o + 2*o + 4*o)*(2*o + 0 + 0) + (-4*o + 0*o + 5*o)*(-5 + 5 - 2*o) to l + f*o**2 + t*o and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1240*d - d**4 - d**2 - 2488*d - 1 + 1243*d - 265*d**3 + 266*d**3 in the form a*d**4 + o + s*d**3 + w*d**2 + y*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13, 0.5, -34, 2, -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5817*g**3 - 1301*g**3 - 1 + 7108*g**3 + 1.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*r, 0 = -3*r - a - 0*a. Suppose 2*o + 0 - 2 = r. Sort 3, o, -2 in decreasing order.\nAnswer: 3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/((-3)\/9). Let a be 13*(3\/(-3) - y). Suppose a + 24 = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/3)*f\/f**1*f\/f**(-5\/2)*f**(4\/7) assuming f is positive.\nAnswer: f**(101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + 4*u - 3*u)*(-8 + 4 + 1) + (u + 3*u - 6*u)*(1 - 3 + 3))*(-u + 629 + 4*u - 614).\nAnswer: -15*u**2 - 75*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 12*a + 28. Give z(13).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36545095 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 199.058367 - -18711\nAnswer: 18910.058367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 92, 904, 3112, 7418, 14524, 25132, 39944?\n\"Answer: 117*t**3 - 4*t**2 + 5*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100010000111011101101101 - -10?\nAnswer: 1000100010000111011101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 6:37 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose 2*p - 6 + 0 = t. Suppose p*r + 14 - 38 = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 265237361 and -0.1.\nAnswer: 265237360.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 9*z + 14. Let k be b(11). Suppose -7*t = -3*t + m - 563, -2*t - 4*m + k = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13905984 a multiple of 1071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7. Let m(n) = n + 6. Let f(t) = -6*m(t) + 5*r(t). Let i be f(-1). Let l(c) = c**3 - 4*c**2 - 6*c - 5. What is l(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**4 + j**3\/3 - j + 3. Let y(m) = -3*m**2 - 34*m - 10. Let q be y(-11). Calculate c(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:39 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 131. Let b be (-3*3\/(-18))\/(-3*10\/1860). Give f(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 1\/6*h**3 + 0*h**5 + 1\/24*h**4 - 6*h + 4*h**2 + 0 + 1\/120*h**6. What is p(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 235 and 75999.\nAnswer: 379995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 75. What is the third biggest value in 1, h, 0.24?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 209 - 524 + 55 + 78 - 14*b. Determine y(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1, 4, 10.\nAnswer: -4, 0, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39\/5*f - 6\/5*f**2 - 6 - 3\/5*f**3 = 0 for f.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16043 (base 9) in base 5?\nAnswer: 322344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 79371*s + 79371*s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -482 - 41 - 143 - 1987*p - 450 - 553 wrt p?\nAnswer: -1987","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 7, -3\/2, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78156479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - y**2 - 4*y - 5. Let x(r) = -r**3 - r**2 - r - 1. Calculate i(k) - x(k).\nAnswer: 3*k**3 - 3*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -290878767*p + 211944934.\nAnswer: -290878767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90 - 25\/4*v**2 + 585\/4*v.\nAnswer: -5*(v - 24)*(5*v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:21 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152.387 - 0.387. Let d = -153 + k. Let j be ((-2)\/(-21))\/((-3)\/(-9)). Which is the biggest value? (a) j (b) d (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 53503*i. Let p(j) = -24*j. Determine p(m(a)).\nAnswer: -1284072*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 9*t**2 + 10*t + 3. Let l be j(10). Let v = -55 + 93. Let n = v + -23. Calculate the greatest common divisor of n and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 1. Let k = 14 - b. Let j be 5 - (k\/1 - 5). What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 10*b**2 + 4. Let q(g) = 6*g - 4. Let d be q(-1). Let r be j(d). Let k(f) = 2*f - 2. Let i(c) = 2*c - 2. Calculate r*i(y) - 3*k(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(576)*-1) + (2*sqrt(108) - sqrt(108))\/sqrt(12))\/((sqrt(3) - 3*sqrt(3))*4 + sqrt(18)\/(sqrt(6) + (sqrt(12)\/sqrt(2) - sqrt(6)))).\nAnswer: -10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let i be c(1). Suppose -n = -4*z - i*n - 12, -3*n = -3*z - 24. Let a(m) = 3*m - 1. Give a(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -179, -269, -415, -629, -923, -1309, -1799?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g - 13*g + 0*g)*(6 - 21*g - 6) to r + x*g**2 + k*g and give x.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3468 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 - -1) + -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d + 1 + 4*d**2 + 7*d to h*d**2 + j + s*d and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10180 - -10181. Which is the closest to 0? (a) w (b) 1\/3 (c) -2\/3 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00475795 rounded to four dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 + 1. Let f(g) be the third derivative of -g**5\/4 - g**3\/6 - 2*g**2. Let l(u) = 2*f(u) + 5*t(u). Differentiate l(n) with respect to n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 880728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.177 + -0.077. Let c = 2.34 + -3.34. Sort -0.4, d, c, 5 in descending order.\nAnswer: 5, d, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -222*j**3*m - 7*j**2 + 2*j*m**2 + 2*m**2 - 37*m - 35 wrt j.\nAnswer: -666*j**2*m - 14*j + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24388 is divided by 1060.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) - 8\/(-3). Let s(z) = -2*z**3 + z**2 + 3*z - 3. Let j be s(n). Let a = 28 - 26. Let m(y) = -4*y - 8. Let r(q) = -q - 2. What is a*m(u) + j*r(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1817, -7807, -17431, -27055?\n\"Answer: -9624*l + 11441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -41*m**4\/12 - 89*m**3\/3 + 134*m + 10. Let x(a) be the first derivative of u(a). Find the second derivative of x(g) wrt g.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -r + 6*c, 94*r + 11*c + 32 = 96*r + 10*c for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 7*o + 6224. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284464?\nAnswer: 2, 80279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/6 + 5*z**2\/2 - 2*z - 3. Let m(c) be the first derivative of k(c). Let g be m(-2). Solve -g = -2*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*g = -623 + 855 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 42 - 18. Calculate the smallest common multiple of 7 and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72232258*u**2 + 32728234*u - 2 wrt u?\nAnswer: 144464516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = 0, -z + 206 = -3*h - 0*h. Do h and -64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.694 * -7207.\nAnswer: -5001.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 156*h - 3531. Let m(t) = t**2 + 4*t - 1. Let i(l) = 2*j(l) - 6*m(l). Factor i(g).\nAnswer: -4*(g + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164210 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 8 + 50*h**2 - 24*h**2 - 27*h**2 - 6*h. What is t(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 7 = -f, 0 = -311*j + 316*j - 4*f - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 6 - 6 + 8 - 3 + 3.\nAnswer: -3*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-6))*(-2)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11192?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x + 2. Let t = 11 + -9. Calculate j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28*(-3)\/(-8)*(5 - (-135)\/(-35))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = -0, -20 = n - 5*f. Suppose -3*c + 8 - 4 = -r, -2*c = 2*r - 8. Let l be n\/r*8\/(-5). Solve 4*x - 3*b + 11 = 0, -5 - 10 = 5*x - l*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d**2 - 11*d + 80. Let i be p(7). Let c = i + -123. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301 (base 8) to base 10.\nAnswer: -1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 102 = -30. Is 18 a factor of (u\/20)\/(1\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.97456 and 0.5?\nAnswer: -1.98728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 2246433*s**2 - 3784847040833*s - 11354534383201\/3.\nAnswer: -(s + 1)*(s + 3369649)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89484811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7863325\/138 - 56980. Find the common denominator of -11\/21 and s.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 3. Let q be a(1). Let w be 77\/44 - q\/4. Solve 0 = -b + w*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 0*o - 22 + 7\/2*o**2. Let m(j) = -2*j. What is u(m(b))?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + 1 + 9 - (27 - -28)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**4 + 414 - 4*z**5 + 16*z**2 - 414.\nAnswer: -4*z**2*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 - n**2 + 0*n**2)*(-2 - 6 - 4)*(-29 + 11 - 5*n - 36) to v*n**2 + r*n**3 + t*n + j and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 5. Is x less than or equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 p when three letters picked without replacement from xnxnxpxnpxnxqxxnpxpp?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551775817.\nAnswer: 17, 47, 690583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7445*x - 52131. Calculate i(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4304.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/10395 + -31189\/41580. Sort 0.1, l, -3, -3\/7, 12.\nAnswer: -3, l, -3\/7, 0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 46, 170, 386, 718, 1190, 1826, 2650?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2029, 3032, 1961, -2222, -10555, -24076?\nAnswer: -43823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -m - 4, -5*m + 0 = 4*o - 8. Sort 3, 6, m in ascending order.\nAnswer: m, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676007?\nAnswer: 3, 73, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1755 (base 14) to base 16\nAnswer: 105f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 8\/3*q**3 + q + 3 - 1\/2*q**2. What is the smallest common multiple of 6 and l(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13276, -26486, -39698, -52912, -66128, -79346?\nAnswer: -92566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - q = -3, 0*q + 2*q = -3*a + 6. Suppose -3*j + 0*j - 4*u + 4140 = a, 2*j - 2*u - 2760 = 0. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35155 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 389380558 a multiple of 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 30. Suppose 4*q + 39 = -21. Let v be c(q). Let i be 8\/(-4) - (-14)\/10. What is the nearest to i in v, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 9*d + 38. Suppose -4*f + 22 = d*f. Let i = -0.01 - -0.41. What is the second smallest value in f, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 99 - 86. Suppose 0 = l*c - 181*c - 152. What is the closest to -1 in -5, c, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100210 to the nearest 1000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.193763 rounded to three dps?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -51. Is x greater than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 393 + -393.5. Sort 3, h, -25, 1 in decreasing order.\nAnswer: 3, 1, h, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274861, 549728, 824595, 1099462?\nAnswer: 1374329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 5:21 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673899272?\nAnswer: 2, 5059, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -4, -1 in decreasing order.\nAnswer: -1, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 - -9?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5847 is divided by 487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2 + 5\/10. Suppose r*c - 5 = 3. Solve a - 6 = -l, c*a = 5*l - 0*a + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/5, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11178 and 6282765?\nAnswer: 289007190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71, 141, 209, 275?\n\"Answer: -v**2 + 73*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.508187 hours to minutes.\nAnswer: 450.49122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-4))**(2\/15)\/(w**(-2)\/w*w)**(-14\/5) assuming w is positive.\nAnswer: w**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(4*sqrt(20))*-3.\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -19*u**2 - 2*u. Calculate t(2).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, 2\/47, -3.4 in increasing order.\nAnswer: -3.4, -0.1, 2\/47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 726.19 - 732. Let k = 5.8387 + j. Round k to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -5 (b) -0.6 (c) 165\/31 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 8*p**2 - 10*p + 12. Let o be x(9). Suppose -o*b - 3*w = -18, 0 = 5*w - 3*w - 2. Suppose -b - 23 = -m. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387.959 decades to millennia.\nAnswer: 3.87959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580 - 11*l**2 - 580.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -d - 30, -385 = d - 690*t + 613*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12045 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3598 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19345 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -290, -528, -862?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:15 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 905370.095 plus -2?\nAnswer: 905368.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 391\/1344 + -1\/192. Let x = -4904 - -4904.3. Which is the closest to l? (a) -0.4 (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/5, -1, 1, 2\/15, -2, -1\/583?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1. Let m(n) = -n**2 + 4 - 11*n + 24*n - 13*n. Let j(q) = -4*g(q) - m(q). Let x(t) = -4*t. Give j(x(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 4*l**2 + 5*l**2 + 3*l**2.\nAnswer: 4*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13435, -53743, -120921, -214969, -335887, -483675?\nAnswer: -658333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 - 14) + (-10 - 2) - (14 - 6).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 40 = 3*p. Suppose 36 = 9*j + 9. Solve h - j*h = -p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-19)\/c)))\/c**3*(c\/(c*(c\/c**(-5\/2))\/c)*c)**(-16\/9) assuming c is positive.\nAnswer: c**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/4 + (-91)\/28 - -22. Suppose -2*d + 16 = 2*l, 40 = 2*d - z*l + 16*l. Solve d*a = 7*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009318763 rounded to 6 dps?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, a: 4}. What is prob of picking 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 634, -0.4, -0.3, -2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7439*q**2 - 2*q + 2. Let z(f) = -6*f**2. Give k(z(g)).\nAnswer: -267804*g**4 + 12*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 2. Let w(b) = 129*b - 7. Determine 2*j(h) - w(h).\nAnswer: -127*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.62961 litres?\nAnswer: 57629.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r + 14. Is w(14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -342\/16099 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 66 = 3*f - 14, -3*g + 136 = 5*f. Suppose 0 = -b - 4*s + f, -2*b + 3*s - 1 = -20. What is the units digit of 55\/22*(b - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 82. Let z be f(-17). What is the third derivative of 4088 + 53*q**2 - 4088 + 78*q**z wrt q?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlzzlzww. Give prob of picking 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219477 is divided by 222.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 + 366?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 3. Let s(o) = o**2 + o - 1. Suppose 0 = q - g + 2 - 7, -12 = -3*q + 2*g. Calculate q*s(m) + v(m).\nAnswer: 2*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 267131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + -4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2. Let s(o) = -9 - 7*o**2 + 8 + 1. Calculate d(s(x)).\nAnswer: 49*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1806*b - 6. Let d be r(-2). Suppose -6*q = 192 - d. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 + 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 12 = -i. Suppose -52 = -123*c + 119*c + 4*m, 4*m = -3*c + 4. Let w(o) = c*o**2 - 39 + i. Let v(t) = t**2. What is w(v(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550 - 23*s - s + 550 - 3*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(891) + sqrt(891)*1)**2 + (sqrt(1100) - 1*sqrt(1100) - sqrt(1100))*4.\nAnswer: -17820 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -70986.19653 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1660 divide 34041620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 19 = -4*r - 25, -4*r - 5*a = 45. Let f = -33 - -48. Let h be (12\/f)\/((-2)\/r). Solve 0 = -5*y - h*k - 12, -15 = 2*y + k + 4*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*k + 309*k + 40 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 48. Suppose 5*j - m - 16 = -5*h, j + 2*h = 11. Solve v + v + 2*u - 2 = 0, 0 = -j*v + 5*u - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 334, 330, 330, 340, 366, 414?\n\"Answer: n**3 - 4*n**2 + n + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -22*q. Suppose q = -4*r + 6*r - 560. Calculate the greatest common factor of r and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*x + 3*x + 29, -3*o - 12 = 0. Let b be (-1 - 31)*(x + 6). Let i be 1*-1 - (2 + -83). What is the greatest common factor of b and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n. Let a be p(1). Suppose -a*k = 3*o - 12, -3*k - 3*o - o + 13 = 0. Solve -k = 5*h - 4*h + 5*c, -2*h = -2*c - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2608, 10447, 23520, 41833, 65392, 94203, 128272?\nAnswer: 167605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001001001110011 - 10100?\nAnswer: -101001001010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 8*l**2 + 1712*l - 11 - 857*l - 856*l. Suppose 2*d + 3*h - 7 = 0, -3*h + 15 = 3*d - 0*h. What is i(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912064986.\nAnswer: 2, 3, 7, 47, 233, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 44 = -4*o - 9, -10 = 2*o + 4*h. Suppose 3*q + 5*f - 6*f = 71, 5*q = -f + 121. Solve 3*p + q = -4*w + 7*w, o*w = 2*p + 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 + 1240 + (0 - -2 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-28)\/8)*(-4)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5+26925186928\nAnswer: 26925186923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.545 times -178.28\nAnswer: 632.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 618639 and 801.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -768\/7. Let k = -425 - -424. What is the second smallest value in 3\/2, k, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -382*i - 523. Give n(-2).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309 - 323 + 611 + 11*b**2 - 13*b**2.\nAnswer: -2*b**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 582703, 582721, 582739, 582757, 582775?\n\"Answer: 18*d + 582685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17942621 or 233254074\/13?\nAnswer: 233254074\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12672, 26707, 42110, 58881, 77020, 96527, 117402?\nAnswer: 139645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 10:24 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1 (c) 4 (d) -0.8 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-5))\/((-36)\/(-90)). Put 4, s, 5 in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12580*r**2 + 38369*r?\nAnswer: 25160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22099083 is divided by 329837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 = -s. Suppose 5 = s*x - 7*x. What is the common denominator of x\/(-5 - (2 + -1)) and 7\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:18 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -64985 divided by -41\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/58 (c) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 802457857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/4 in 0.33, -3, -5, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*d - 2 = 0, -5*w - 2*d - d = -2. What is the tens digit of 5445\/81 - ((-4)\/(-18))\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -259, -198, -23, 302?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (23 - 0) - (-22 + 44)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/10 + (11 - -2). Let v be (-2)\/7 - (-2)\/7. Suppose -4*p - 4*r + v*r = -244, 2*r + 262 = 4*p. Calculate the highest common divisor of p and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from zjikzzk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55891 rounded to 2 decimal places?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2 - 43435*g - 21715.\nAnswer: -5*(g + 4343)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 28 = 22*r. Suppose -15*n = -r*n - 3. Let j(b) = b - 2*b + n*b**2 - 14 + 7 + 6. Give j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*d + 578 + 1710 = 0. Solve -h = 3*m - d, 5*m - 8 = -3*h + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 6*l**2 - 5*l**2 + (0*l + 0*l - 2*l)*(-311148 - 545*l + 311148).\nAnswer: 1077*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129.07 - 128. Let x = 0.58 + r. Round x to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19158 (base 11) in base 3?\nAnswer: 1100202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231744771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2757076 divided by -4\nAnswer: -689269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + -2. Let u = l + 71. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(208) - (1 + sqrt(208) + sqrt(208) - sqrt(208))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629804 is divided by 14995.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.014*-31\nAnswer: -0.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22.6 * 0.04\nAnswer: -0.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 527 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-2 - (7 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -456999569328 and -0.13.\nAnswer: -456999569328.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 - -5) - (-9 + 18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 10 = y - 9*p, -23 = 2*y - 5*p for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.32. Let v = 25\/3607 - 7439\/32463. What is the nearest to -1 in v, -2, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-1) + (-2)\/(-2). Let t = 53.9 - 54. Suppose p - 5 = 6*p. Which is the third smallest value? (a) t (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -2, 83, -54, -3, 3?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053 and 1458.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyydydwdydydyyydl. What is prob of picking 2 y?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 - 4*g**4 - 2*g**4 + (2*g**3 - 2*g**3 + g**4)*(-2 - 2 + 2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 20 = v - 2*z, 4*z - 5 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3758, 3760, 3762, 3764?\n\"Answer: 2*j + 3756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g - 3. Let m(z) = 25*z + 13. Let r(f) = -9*k(f) - 2*m(f). Let u be r(-2). Let x(d) = -d**2 - 5*d + 10. What is x(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011011111111000010 + -1101?\nAnswer: -1000011011111111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.15. Let z = 0.55 + o. What is the third smallest value in -5, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33471 (base 9) to base 7\nAnswer: -121615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 308\/84 - (-3)\/9. Sort t, 1736, 5 in increasing order.\nAnswer: t, 5, 1736","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r - 4. Suppose 15 + 2 = r*l - 5*b, -2*l - 5*b - 33 = 0. Is -7 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23028 or 4\/353?\nAnswer: 23028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 + 10*o - 22. What are the prime factors of t(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/24 - 4*y**3\/3 + 14*y**2 + 1. Let a(l) = l**2 + l. Let g(i) = 2*i. Let c(s) = -2*a(s) + g(s). Determine r(c(j)).\nAnswer: 2*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288597 is divided by 286248?\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and 85\/1116.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + m - m)*(-6*m + 6*m - 9*m)*(147 - 453 + 172).\nAnswer: -4824*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 0*y)*(4 - 4 - 2) - 3*y - 4*y + 5*y + 3740 + 856*y - 3740.\nAnswer: 860*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36956 is divided by 396.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75106226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -4*c**3\/3 + 4*c**2 + c. Let h be x(-8). Suppose 2*m + 41 = 5*y - h, 26 = 2*y + 4*m. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76305, 150820, 225333, 299844, 374353, 448860, 523365?\nAnswer: 597868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 956?\nAnswer: -15\/956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2092*f - 4208*f - 2490*f.\nAnswer: -4606*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssvs when four letters picked without replacement from ssvsvvsssv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189 + 490. Let m = 1195\/4 - k. Let r be (0 + 2\/(-4))\/(-2). What is the biggest value in 0.3, m, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 1, q: 1, a: 1, y: 1, n: 2}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -67. Suppose -4 = -j - 0, -4*u - z*j = -40. Calculate the remainder when 46 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 3*n + 1 + 0)*(-1030 + 524 + 533) to l*n + j and give l.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 160643 a multiple of 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -7 (b) -2 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p**4\/13 - 310*p**3\/13 - 28*p**2\/13 + 352*p\/13 = 0.\nAnswer: -22, -8\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/4 - 4*s**3\/3 + 2*s**2 + 5*s + 35. What is g(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 54 + 59 + 0*b**2 to m*b**2 + o*b + a and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -4*p + 2*x + 100, -31 = -3*p - 4*x. What is the fourth smallest value in p, -5, 10, -0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87155, -696727, -2351117, -5572733, -10883983, -18807275, -29865017?\nAnswer: -44579617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 39. Let i(v) = v + v**2 - m*v + 3*v. Let r(t) = 20*t**2 + 24*t - 24. Let c(k) = -4*k**2 - 5*k + 5. Let s(x) = 24*c(x) + 5*r(x). Determine s(i(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171292 is divided by 9828.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + 2*q**5 + 0*q**5 + (-225 + 225 - 26*q)*(-4*q**4 + 3*q**4 - 4*q**4).\nAnswer: 129*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541798 is divided by 152?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -3, 3.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 92*q + 556\/3.\nAnswer: -(q - 2)*(q + 278)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 551109 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -40, 2\/7, -4\/3, -262?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*o + 26 - 66, 4*o + 2*y - 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 3) to base 2.\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348657467 to the nearest integer?\nAnswer: 18672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64743479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1245209 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20512077 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 619080 and 79464.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*b - 7 = -21, -3*b + 2 = -b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(224)*-1 - sqrt(224) - sqrt(14)) + 3*sqrt(14)*1))\/((sqrt(18) - sqrt(162)\/(sqrt(36)\/sqrt(4) + sqrt(9)))*-2).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309 + 308. Let o = 23 + -20. What is the nearest to f in -10, o, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 948 and 36?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16720 + 1336 = 74*g. Calculate the smallest common multiple of g and 4758.\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3284.786669 rounded to the nearest 10?\nAnswer: -3280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 5*a**2 + 8*a + 7. Let z(g) = g**3 - g**2 + g + 1. Let p(r) = j(r) - 6*z(r). Let k be p(-1). Solve 3*t + k = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = v + 1, 0*v + 5*v - 3*r = -13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 7. Let c(o) = 5*o + 28. Let p(w) = -4*c(w) - 18*r(w). Let b be p(9). Let y = -8.6 + 6.6. What is the closest to y in -1, 0.5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*4\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*m + 24 - 1954 = 0, 3*m + 9626 = 5*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 161*h + 23*h**2 + 194 + 0*h**3 - 1\/4*h**4. Differentiate y(v) wrt v.\nAnswer: -3*v**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/2 + 491*j**3\/2 - 7021*j**2\/2 + 24745*j\/2 = 0.\nAnswer: -505, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 56101236.\nAnswer: 56101236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y + 5. Let g(k) be the second derivative of -7*k**3\/3 - 4*k**2 + k - 5. Suppose -2*d - 16 + 0 = 0. Calculate d*c(i) - 5*g(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150197, -300246, -450295, -600344, -750393?\nAnswer: -900442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/6*4*2. Suppose 0 = -o - 2*c + 40, -46 = 3*o - v*o + c. Suppose f + o = 3*f. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 806 divide 113554922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 - 2*d**3 + 420*d**2 + 3008*d + 4352 = 0?\nAnswer: -8, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from qfqf?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1600 divided by -400.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:02 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.229 (b) 1.5 (c) 1\/5 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9113700811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 4?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -0.4 (c) 3 (d) -2\/19 (e) 311\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Suppose -8 = -3*q - 5*z - 3, q + 5*z = 5. Let f(c) = q*c + 0*c + c + c. Determine r(f(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*v - 416, -24 = 26*v - 32*v. What is the greatest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 28. Let c be f(6). Suppose -10*z - q + 13 = -14*z, c = -z + 5*q. Let y(w) = w**3 + 4*w**2 + 3. Calculate y(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 330\/88*14\/105*(0 - 0). Solve 5*a - 7*a - z = 10, 5*a - 5*z - 5 = h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847) + 2 - sqrt(847))*-3 + -2 + sqrt(847)*-3 - ((sqrt(308)\/(sqrt(22)\/sqrt(2)))\/sqrt(4) + sqrt(35)\/(sqrt(10)\/sqrt(2)) + 1)**2.\nAnswer: -70*sqrt(7) - 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9879317 years?\nAnswer: 0.09879317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 - 4*h - 1803. Let v be m(0). Do v and -1803 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**2\/6 + 10075*r\/6 + 1373125\/3 = 0.\nAnswer: -1690, -325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 70?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1259 - -1259. Is 17 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 2\/(-27) + (-3186)\/(-3645)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7*k - 7. Let d(j) = 1. Let u(m) = 3*d(m) + z(m). Let c be u(8). Let g = 0.021 + 0.079. Sort c, g, -4 in descending order.\nAnswer: c, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, 3, -0.07, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4371, 4419, 4495, 4599, 4731, 4891, 5079?\nAnswer: 5295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 7*v - 6*v)*(1505 - 62*v - 1505)*(-3*v + 2*v - v).\nAnswer: 868*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -150*z + 359. Is w(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22313413*c**2*d**2 + 3*c**2 + 14*c*d**2 + 2*c*d + 181*c - 39*d**2 + 9*d + 3 wrt c.\nAnswer: 44626826*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + 1 + 2*t)*(96 - 75 + 207)*(-31*t - 31*t + 63*t).\nAnswer: -228*t**2 + 228*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89 - -6f1aa?\nAnswer: 6f121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 51*u. Let s(h) = h**2. Give z(s(t)).\nAnswer: 3*t**4 - 51*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -v + 277, f = 2*v + 32 + 35. Let m = -64 + f. Solve 2*y = -3*d + 1, 0 = 4*d - 8*d + m*y + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1243693 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 29. Let v = -13.4 + s. Let d = -28.3 - -28. What is the second biggest value in 4, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521*12\/((-60)\/(-185)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h = -38*h - 40*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 64*j**2 - 56*j - 56. Let f(n) = n**2 - n - 1. Let k be (861\/7)\/41 + 1 + -1 + -5. Calculate k*d(h) + 112*f(h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 15108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 16514.17695.\nAnswer: 16515.07695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izqi. What is prob of picking 1 q and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 23*h**2 - 458*h + 417. What is g(19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5050784*d**4 + 5861740 wrt d?\nAnswer: -20203136*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a day in hours?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3\/5, -0.3, -0.2 in decreasing order.\nAnswer: -0.2, -0.3, -3\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 15249*k. Let d(p) = -18*p**2 - 2. Give o(d(i)).\nAnswer: -274482*i**2 - 30498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 8*x - 3*x)*(2 - 6 + 2)*(0 + 0 + 2*x).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 3*v - 5*v)*(-5 - 2*v + 5).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/3)*s))**32*s**(-2\/7)*((s\/(s\/(s**3\/s)))\/s*s)\/s assuming s is positive.\nAnswer: s**(-209\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/348*-2)\/(3*(-1)\/14).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2, -97, -29 in descending order.\nAnswer: 2, 0, -2, -29, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183838.\nAnswer: 2, 17, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 144*l = -162, 0 = 1314*d - 1312*d - 4*l + 40 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001235448 to seven decimal places.\nAnswer: -0.0001235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 + 14*k + 76. Let p(h) = -8*h**2 - 20*h - 76. Determine 2*p(f) + 3*r(f).\nAnswer: 2*f**2 + 2*f + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2626 - 6*b**3 - 2626 + 4*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 896 - 897. Put 4\/3, 1, -4, w in increasing order.\nAnswer: -4, w, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 27*l**2 + 2*l**4 + 36*l**2 - 59*l**2 + 1 to the form g + q*l**4 + c*l**3 + f*l + h*l**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 4. Let m(q) = 49*q + 7. Let i be m(-2). Let h be (-1)\/2 + i\/26. What is the lowest common multiple of y(h) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*w, 2*s + 314*w = 310*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 105 = 12. Suppose -2*p - 6*v + 2*v - 58 = 0, 0 = -p + 4*v - 11. Find the common denominator of p and (w\/9)\/(1 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-350)\/(-15))\/7)\/((-65)\/(-1638)*7*3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 869. Calculate g(88).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19744 + 168.79256. Let l = o - 169. Which is the biggest value? (a) l (b) -2 (c) 2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c8b (base 15) in base 5?\nAnswer: -144311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 11 = -4*g + 13, 3*y - 5 = 2*g. Sort 0, 194, -1, g.\nAnswer: -1, 0, g, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1205*z**2 + 1204*z**2 + 17 - 75 + (34*z - 5*z - 6*z)*(z + 0 + 0) to the form t + i*z**2 + j*z and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667179 a multiple of 1824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from hhhhhhhhhhhthhhhhh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430126 is divided by 3840.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*c - 356 + 356)*(11*c**3 + 12*c**3 - 39*c**3).\nAnswer: 976*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6102a (base 12) in base 8?\nAnswer: -366342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 2*q**2 - 5*q - 2. Let y be m(-3). Suppose -y*z - 29 = -5*v, -z = -2*v + 7 + 1. Is 52\/z*(-6)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.902 + 153.602. Let s = g + -223. Let u = -70.2597 - s. What is u rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8999878 less than 0.2?\nAnswer: -0.6999878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 81*d - 761. Give u(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 29 = 5*u. What is the remainder when 22 is divided by ((-2)\/u - (-4)\/24)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*v - 4*h - 0*h - 158 - 37, -12*v + 744 = -3*h for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4630.066 or 3?\nAnswer: 4630.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000299137565 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(363)*-2)**2 - sqrt(363)).\nAnswer: -11*sqrt(3) + 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 75858?\nAnswer: -75860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 17. Let r = 42 + p. What is the highest common factor of r and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7*u = 10*u + 9918, -a + 2*u + 3302 = 0. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -108*f. Let o = 141 + -139. Let n(h) = -13*h**2 + 3*h**2 + 10*h**o + 2*h**2. Calculate n(c(m)).\nAnswer: 23328*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1100) + (sqrt(44) + sqrt(44)*3)\/sqrt(4))*5.\nAnswer: -20 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 7 + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*z - 90*z - 5883 = 0 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Let w(r) = -n*r**2 + 4*r**2 - 1 + r - 2*r. Calculate the remainder when w(-5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - (-68)\/18. Suppose -4*q + 26 = -0*r - r, -s*q + 34 = 3*r. Let y = q - -6. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29118544711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 16*d**2 + 17*d - 6. Suppose -4*a + 12*o - 11*o = 68, 4*o = 5*a + 85. What is r(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let q(n) = 8*n. Give r(q(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 14212?\nAnswer: 14202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2. Let x = 44 - 44. Let h(o) be the third derivative of 0*o**4 + x + 0*o + 0*o**3 + 1\/60*o**5 - 3*o**2. Determine h(u(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/20 - d**3\/5 + d**2\/10 + 3*d\/5 + 2. Factor o(w).\nAnswer: -(w - 1)*(w + 1)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003074 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2, -98, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184368.644 + -0.25316?\nAnswer: 184368.39084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i. Let b(y) = -63*y**2 - 45*y. Let r be 18\/2 + 8\/(-20)*30. What is r*b(z) + 135*m(z)?\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 10487?\nAnswer: -2\/10487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**22)**(-2\/87)\/(i**22\/i*i)**49)**(-2) assuming i is positive.\nAnswer: i**(187660\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55362 and 8601?\nAnswer: 158722854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 - 9*m + 7. Let v be p(3). Let z be ((-26)\/v)\/(12\/10). Which is the third biggest value? (a) -0.3 (b) z (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efueuuuuiuuiu. Give prob of picking 1 e and 1 u.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(0*d**5 - 6*d**5 + 4*d**5 + (2 - 3 + 4)*(d**5 + 0*d**5 - 3*d**5) + (-d**2 + 2*d**3 + d**2)*(-d**2 - 2*d**2 + 5*d**2)).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 3*c**2)*(2*c - c + c)*(0 - 1 + 2).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 13*j + 19. Let t be u(-2). Let c be 20\/t + -3 + (-1 - 1300). What is c rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30536456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28 + 28.28. Let z = 38 - m. Let x = 9.8 - z. Which is the nearest to 1? (a) 2\/19 (b) 2\/15 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6873 less than -0.6096?\nAnswer: -6873.6096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -10. Suppose v = -q - 0*q. Solve q = -0*c + 2*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18813878, -37627757, -56441636, -75255515?\nAnswer: -94069394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 596721371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 - 19 = -26*v - 37 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/((-45)\/54). Suppose 5*w = -2*g + 20, -19 = 2*w + w - 5*g. Solve -w*n = 1 + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 656430708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9998153 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3*q**3*r + 330*a**3*q*r**2 - a**2*q*r**2 + 2*a**2*r + a*q**3*r**2 - 548*a*r wrt a.\nAnswer: 18*q**3*r + 1980*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20328477 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 686 - 672. Calculate the common denominator of -79\/48 and (1128\/120)\/(c\/(-5)).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 4, a: 3, k: 5}. Give prob of picking 1 m, 1 f, and 2 a.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*m = 2*p + 7, -4*p + 5*m + 11 = 0. Suppose -p*j - 36 = -0*j. Let r(o) = o**2 - 2*o + 4. Let d(h) = 5*h**2 - 9*h + 17. Calculate j*r(w) + 2*d(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, 0.1, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 6. Calculate the remainder when 28 is divided by k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:44 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00713863 rounded to 4 dps?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2198340?\nAnswer: 2198340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose l = -n*v + 49, 22 = 5*v + 2*l - 58. Let t be -8 + 5 - (-1 - 5). Solve -5*a + 31 = t*f, f + 4*a = 8*a - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h - 93. What is b(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4954, -9998, -15042, -20086, -25130, -30174?\nAnswer: -35218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -119. Let r(c) = c**2 + 2*c. Let z(d) = -5*d**2 + 187*d + 48. Let o(a) = x*z(a) - 3*r(a). Differentiate o(n) with respect to n.\nAnswer: 4*n - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*s**3 + 3*s**2 - 829461*s - 373777250 wrt s?\nAnswer: 216*s**2 + 6*s - 829461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316107*f*q*r**2 + 36*f*r**2 - 401*f*r + 2*q*r**2 + 2*q*r + 2*r**2 - 6473*r wrt r?\nAnswer: 632214*f*q + 72*f + 4*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2. Let n(u) = 6*u. Let i(h) = -h**2 - 14*h + 35. Let z be i(-16). Let l(q) = q. Let t(m) = z*n(m) - 30*l(m). Give k(t(w)).\nAnswer: -576*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/24 and 119\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, e: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 12980188*c**2 - 10530388442812*c + 94772444592996.\nAnswer: -4*(c - 1622519)**2*(c - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkki when four letters picked without replacement from {i: 3, k: 17}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 50*u**2 + 45*u.\nAnswer: 5*u*(u + 1)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 - 3*x**2)*(-191*x**3 - 42*x**3 - 52*x**3 - 53*x**3).\nAnswer: 1014*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.404 minus -23821?\nAnswer: 23821.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68529450*3.\nAnswer: -205588350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8761 - -8766. Solve 42 = f*j + 9*u - 12*u, 3*j = -5*u - 2 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81557 and 11.\nAnswer: 897127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060*p - 1102*p + 1 + 2163*p - 1.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 148273 or 147589?\nAnswer: 148273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {c: 2, g: 1, h: 1, j: 2, a: 2, r: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4887274 is divided by 698182.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 4\/21*q**7 + 0*q**6 - 31*q + 0*q**4 + 0*q**5 + 0 + 0*q**2 + 2\/3*q**3. Find the second derivative of h(g) wrt g.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 4880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -2\/9, 1\/7, 1\/2, 4.76, 3\/2?\nAnswer: 4.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*o + 1229991, -1229985 = -5*i + 4*i + 5*o. Round i to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-236)\/8 + 2)\/((-28)\/7392)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times -0.012\nAnswer: -0.00384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 647 divided by 30491\nAnswer: 647\/30491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**(-5)\/x))))\/(x*x**(5\/4))*x\/(x\/(x**(-2\/5)*x*x))*x**3\/x assuming x is positive.\nAnswer: x**(167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z + 14641*z**3 + 3*z - 14520*z**3)*(0*z + z + 2*z).\nAnswer: 363*z**4 - 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - (-24 + 22 + -26).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10*((-8)\/(-30))\/(126\/(-1575)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272422208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-110)\/4)\/5. Let m(g) = -g**3 + 6*g + 2*g**2 - p + 5*g**2 + 6*g. Is m(8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y + 148. Give c(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 227*g + 207. Let t(o) = 7. Let y(p) = -4*t(p) - z(p). What is the derivative of y(u) wrt u?\nAnswer: -227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75938.\nAnswer: 2, 43, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 129.27, 5, 0.1?\nAnswer: 129.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4958169425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 11\/6, -2\/5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 17*y - 26*y. Solve -y*w + 4 = 4*t, -w - 2*w + 3*t - 15 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i - 7*i + 41*i - 10*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 32. What is the closest to y in 0.1, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 28 - 1 - 14 - 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(320) + 1 + (sqrt(320) + 1 - sqrt(320)))**2 + ((sqrt(60)*4)\/sqrt(12) - (sqrt(35)\/sqrt(7) + -5)).\nAnswer: 35*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhrrrbrrrrrrrr. Give prob of picking 3 r.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**4 - 30*y**3 + 63*y**2 - 51*y. Let v(n) = 3*n**4 - 32*n**3 + 63*n**2 - 50*n. Let p(m) = 3*v(m) - 4*z(m). Find f, given that p(f) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1 (c) -3 (d) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.1 (b) -5 (c) -1\/6 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 16404 = 15*q. Suppose 1462 = 9*t - q. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-3*sqrt(176) - sqrt(176) - sqrt(176))*4 + sqrt(176))\/sqrt(4))\/(-4*((sqrt(576) - sqrt(576)*1*-2) + sqrt(576) + sqrt(576))).\nAnswer: -19*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0936 less than -3899.1?\nAnswer: -3899.0064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43942 divided by 346.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 3893239139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -21. Suppose b*k - 84 = -4*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let u(v) = 2*v**2 + 2*v - 2. Let f be u(r). Let t be 2\/(-1) - (f - 5). Let y(g) = 10*g + 1. Calculate y(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + sqrt(637) + -2)*-4 - sqrt(637))**2.\nAnswer: -1008*sqrt(13) + 51661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3971193863 - -0.5?\nAnswer: 3.8971193863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/(-36)*8\/15. Let t = -29293 - -1259601\/43. Is t at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-3078) - (-798)\/(-32319)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 5:03 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let k be (-5 - 1)\/(o - 2). Let j be (-6)\/(-4)*(-4)\/(-3). Solve -j*p - k = 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 6*v + 10. Let o be i(7). Suppose -4*m = -o*x + 930, 5*x - 2133 = 3*m - 594. List the prime factors of x.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 + 16*i**2 - 14*i - 631. Let o(q) = q**3 + 7*q**2 - 6*q - 316. Determine 7*o(f) - 3*y(f).\nAnswer: -2*f**3 + f**2 - 319","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1419)\/86*((-1216)\/12)\/4. Calculate the greatest common divisor of a and 988.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2)*(q\/(q*(q\/(((q**(-1\/7)*q)\/q)\/q))\/q))\/q)**5\/((q**(1\/6)\/q)\/((q\/q**5)\/q))**(-17) assuming q is positive.\nAnswer: q**(2315\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(45) + sqrt(270)\/(1*sqrt(6)))*5)\/(sqrt(9) + 3*sqrt(9)*6 + 3*sqrt(225)).\nAnswer: -30*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30731773 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1747 + 1746. Which is smaller: h or 2619?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**9*v**(-4)\/v)**(2\/3)*(v*v*v\/((v\/v**1)\/v))**18*v**(-1\/4)*(v*v**(1\/4))\/v assuming v is positive.\nAnswer: v**(226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 98. Let i = 34 + n. Solve i*f + 3 = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 214203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - m**2 - 4*m - 3. Let p be i(-2). Let g be 7\/p + 4\/6. Let y be 1*64\/84 - 9\/21. Which is the nearest to 0? (a) y (b) -0.9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 547*p**2 - 178*p**2 + 2*p - 192*p**2 - 178*p**2. Suppose -c = -2 + 1. Let y(f) = -f**3 + 8*f**2 - 7*f. Give c*y(g) + 6*i(g).\nAnswer: -g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let n(a) = 727*a**2 - 11*a - 1. Give i(n(y)).\nAnswer: 1454*y**2 - 22*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95862649.\nAnswer: 1123, 85363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 149, 191, 197, 155, 53?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 44 = 3*s + 79, -4*s = 5*l. Let v = 0.08 - -0.02. Which is the nearest to v? (a) -6 (b) 0 (c) 2\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 23*s**3 - 3*s - 3*s**2 - 14*s**3.\nAnswer: 9*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1266 - -828. Is -2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -120*c + 57. Let a be k(-18). Let l(h) = -a*h**3 + 7*h**2 - 3 + 2216*h**3 - 3*h - 1. Calculate l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 437*-0.079\nAnswer: -34.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -1\/2 (c) 92\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16757570 to the nearest 100000.\nAnswer: 16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-50) + 12\/5. Suppose 5*m - p*x = 59, -2*m + 26 = 2*x - 4*x. Differentiate -14 - m - 4*w**2 + 14*w**2 + 11*w**2 wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 149*r. Let m(a) = 13*a. Give x(m(l)).\nAnswer: 1937*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r + 2012 - 822 = -161*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 5*k. Let d = k + 1. Solve r - d = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/2*(-27)\/(-189).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/142 and 29\/3.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*m = -80, m + 1 = -0. Suppose 3*d = k + 160, 794*k + 280 = 5*d + 795*k. Let s = r + d. Solve s + 6 = -5*t + 2*b, 0 = -4*t - b - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644178 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137799 litres in millilitres?\nAnswer: 137.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 42*w**3 - 8*w**4 + 42*w**3 with respect to w.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 1 h when three letters picked without replacement from {p: 1, y: 3, h: 7, l: 1}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3481460 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 2, k: 1, y: 4}. Give prob of sequence yle.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/18 - (10 + 71204\/(-63)). Suppose 13*l + b = 17*l. What is the greatest common factor of 56 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6093388 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 - 4*c**2 + 7*c + 2. Give f(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 12*w**2 + 15*w - 1. Determine p(10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -46. Solve -4*a = -5*l - 30, a - 6*a + 35 = -y*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-3 + 4 - (1 + sqrt(325) + -4)**2) + 0 + (sqrt(325)*5 - sqrt(325)) + -2 + 1*sqrt(325).\nAnswer: -332 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = x + 11, -7 = w - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 50 - ((-5)\/(-10))\/(1\/(-2))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 75*c - 12 + 2 = 76*c, -6*c = 2*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8151*q - 8949 wrt q.\nAnswer: -8151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 - j**2 - 9*j**2 - 80*j**3.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 4, -0.1, 2\/4625, 3.\nAnswer: -0.1, 2\/4625, 5\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*f + 12, 4*f - 6*f + 73 = 15*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 945193492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12) + (-57)\/(-138)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.3919481 to 3 dps.\nAnswer: -21.392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60060342 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-9 + (7 - (7 - 8))) - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*r - j**3 + 4909818*j**2 + 5*j*r + 105*j - 9*r - 248 wrt j?\nAnswer: 12*j*r - 6*j + 9819636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 373.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnvvnvvnnvvnnnnnnn. Give prob of sequence nnn.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316483.\nAnswer: 7, 67, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -702000 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 30655964\nAnswer: 1\/30655964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58574872 divided by -2356.\nAnswer: -24862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:55 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -4, 15, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.6134 + 7.6. What is p rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*r = -3834, -2*l + 6382 = 3*l - 3*r. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:01 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -190200\/11 greater than or equal to -17290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 1108099052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u + 220 = -116 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 5*d**2 + 0*d**2. Let v(i) = 4*i. Determine n(v(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 185?\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -3*s**7\/14 + 7*s**4\/4 + 5*s - 21. Let x(w) be the first derivative of v(w). Find the third derivative of x(q) wrt q.\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -2\/5, 0.3, -1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/84)\/(55\/1925).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*p**2 - 113\/3*p - 38.\nAnswer: (p - 114)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 3*i - 51. Let d be b(5). Suppose -d = -8*y + 66. What is the remainder when 65 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.134 and 19.\nAnswer: -2.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*h**2*s**3 + 34*h**2*s**2 - h**2*s + 18*h*s**4 + 2*h wrt s.\nAnswer: -96*h**2 + 432*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1541976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -139*x**6\/8 + 518*x**5\/15 - 481*x**2. Find the third derivative of t(v) wrt v.\nAnswer: -12510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36.5*7\nAnswer: 255.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1454*o = 1452*o + 2*d + 25996, 0 = -5*o - d + 65002. Does 250 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 60*y. Let l(j) = 11*j. Give s(l(o)).\nAnswer: 660*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*t + 24 = 0, t + 4*t - 14 = 3*h. Let s be -4*(-3)\/(-6) + h. Suppose x - 23 - 1 = s. What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (346 - 351) + (-4 - -45) - 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*v + 2053 - 500 = -2752 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.1831477 to 2 dps.\nAnswer: -9.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by 3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -4952 (b) 0.5 (c) -3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -1 + 5\/3*t**3 + t - 2*t**2 - 1\/4*t**4. Let m = -6 + 10. What is l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 41 = -3*o - 3*q, -3*o - 2*q + 95 = 0. Suppose -4*y + 117 = o. Solve 5*j = -5*m + 8 + 22, m + 5*j = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 9123651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/4*x**2 + 3\/4*x**3 - 1 + 3*x.\nAnswer: (x - 2)*(x - 1)*(3*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/230)\/(72\/300)*(928\/(-20))\/(-4).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*s + 6 = 0, 3*i - 757*s = -759*s - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4499*d**3 + 4499*d**3 + 62*d**4 + (-10*d - 7*d**2 + 10*d)*(-14*d - 4*d**2 + 14*d).\nAnswer: 90*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.882663 nanograms?\nAnswer: 0.000000000000001882663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 88.8 (b) -5 (c) -6499\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3759 (base 16) to base 14.\nAnswer: -5241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92753102 divided by 2.\nAnswer: -46376551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -2*b**6\/3 + 24*b**5\/5 - 14*b**4 + 64*b**3\/3 - 18*b**2 + 8*b - 118. Suppose y(c) = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 16*c + 4. Let o be t(-16). Suppose 4 + 44 = 4*q. What is the remainder when 2\/((-163)\/41 + o) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**2 - 7668*y - 4899852 = 0.\nAnswer: -1278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 18*g - 1. Suppose 2*m - 45 = 5*i - 0*m, -5*i - 40 = -3*m. Is x(i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)\/(-1*(sqrt(7) + sqrt(28)\/sqrt(4) + sqrt(7))))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((4*(0 + sqrt(605) - sqrt(605)) - (sqrt(605) + (sqrt(605) - (sqrt(605) - (sqrt(605) + 0 + 0))))) + 0 + 3)*-3)**2.\nAnswer: -19008*sqrt(5) + 349776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 116 (b) 2\/19 (c) 0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = 32. Let h = m + -10. Suppose h = v - p - 11, 2*v + 49 = 7*v - 2*p. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 741.463 + 3.537. What is the second smallest value in 4, l, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160273, -160253, -160233, -160213, -160193, -160173?\nAnswer: -160153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1623, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 334*h**2 - 12310*h - 11978.\nAnswer: -2*(h + 1)*(h + 53)*(h + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + 106. Suppose 0 = -3*r + 5*g + 152, -i = -4*r - 5*g - 31. Let t = 29 + r. What is the remainder when t is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(84\/1260*(-20)\/8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*t. Suppose 0 = -t*f + 2*f + 117. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m**3 - 11*m**2 - 5912*m. Let h(w) = -5*w**3 + 6*w**2 + 2956*w. Give -11*h(u) - 6*n(u).\nAnswer: u**3 + 2956*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1321 and 1292 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1028055 - 446862 - 1916603 = -8*p. Round p to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 285.5 + -390. Let z = k + 104. Which is the closest to -0.1? (a) z (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 9*z**3 - 3*z**3 - 3*z + z**3 to t*z**3 + v + y*z**2 + c*z and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - n = 31, y + 4*n = 44 - 32. Let g(k) be the second derivative of -10*k**3\/3 + k**2 - 2*k. Calculate the smallest common multiple of y and g(-1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 152564443?\nAnswer: 152564450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-1\/3)\/h)\/h*h*h**5)\/(h**(2\/7)\/h**(-7)) assuming h is positive.\nAnswer: h**(-55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 20, 2*y + 26 = 7*q - 2*q. What is the second biggest value in y, -0.5, -4, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 12. Let h be 1624\/3535 + 2\/j. Let f = 12589\/606 + h. What is the common denominator of 63\/16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4, -1\/8, -1\/7.\nAnswer: -4, -3\/5, -1\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584, 2156, 4702, 8222?\nAnswer: 12716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-24)*-16*(-15)\/(-4). What is the second derivative of -5*n**3 + 21*n + 15*n**5 - 5*n**3 + d*n**3 wrt n?\nAnswer: 300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - 2 - (-15 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 5.05. Let h be 2 - -1 - 1 - 3. Which is the biggest value? (a) h (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*x + 4, -u - 3*x - 1009 = -1016 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 5d390?\nAnswer: -5d395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.4. Let n = v + 0.2. Suppose h - 2*h + 5 = 0. Which is the biggest value? (a) h (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 2, -103, 58, 3 in descending order.\nAnswer: 58, 3, 2, 0.9, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/1144 + -3127*1\/(-308) + -10?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.8, -1, -0.9 in descending order.\nAnswer: 0.8, -0.9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -139*u + 20172. Calculate p(145).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93025, 186047, 279067, 372085?\nAnswer: 465101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 13. Let o be v(15). Suppose -o*s + 5*i = -12, 13 = 5*s + i - 17. What is the greatest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 5*p**2 + 6*p + 3. Let k(z) = -4*z**3 - 11*z**2 - 13*z - 6. Give -13*a(h) - 6*k(h).\nAnswer: -2*h**3 + h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/3))\/q)\/q**(-2\/3)*(q*q**(-1\/2))\/(q\/((q**(-6)\/q*q)\/q))*(q**(2\/3)*q)**0*(q**2*q)\/(q*q**8) assuming q is positive.\nAnswer: q**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 67\/(-35))*(-3010)\/1806.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 o when four letters picked without replacement from ggooo?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w - 4. What is the remainder when ((-16)\/12)\/(4\/(-6)) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from gggvgggggvvggvgggv.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2)*9\/(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 10:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -4 - 6) + 10. Let o(l) = -1. Let u(q) = -2*q + 6. Let i(m) = h*o(m) + u(m). Let a(n) = -4*n - 2. What is i(a(j))?\nAnswer: 8*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 - 976. Let d = -375 - f. What are the prime factors of d?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/12 - 1\/(-6). Suppose -14*w + 24*w - 6420 = g. Does 49 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/11, -2, -99, 1, 0 in decreasing order.\nAnswer: 1, 3\/11, 0, -2, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59319420 by 7860.\nAnswer: 7547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -0*b. Suppose 0 = f - 5*f - 120. Let m be 62\/b - (-5)\/f. Solve 0 = m*s - 3*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -344, 0.4, 110 in descending order.\nAnswer: 110, 0.4, -3\/5, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*o + 4 = 2*o, -y + 3*o = -2. Sort y, 0, -3.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.1 (c) 248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(4 - 138*t**2 + 32*t**2 - 5).\nAnswer: 212*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, p: 5, z: 2}. What is prob of sequence zipz?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5928 + 128273 = -292*a + 5181*a + 19676 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/13978 and -31\/8.\nAnswer: 55912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 6726 + i**4 - 3369 - 3380 - 2*i + 3*i**4 + 2*i + (-2*i + 2*i + i**2)*(-2 + 2 - i**2) - 3*i**4 - 2*i**4 + 4*i**4.\nAnswer: 2*i**4 - i**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -114. Let x be (-4)\/(-6)*(l\/20 - 0). What is the closest to -1\/8 in 0, x, 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 8832 = -126 - 1806. Put d, 5, -3 in decreasing order.\nAnswer: d, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133020 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42710607293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/3276)\/(3\/3) + 34\/14?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -124. Is (-3 + (-5)\/c)*-1754 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4560\/(-100)*(0 + -35). Suppose -4*t + 8*t = n. Is t a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.24 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581185619.\nAnswer: 397, 6501727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 4, s: 3, b: 6, e: 1, f: 3}. What is prob of sequence mb?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2259 and 2393.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*v - 37, -2*v = -5*k + 1 + 39. Suppose -k*h = -8*h. Let w(y) = -y**3 - 8*y**2 + 0*y**2 + 8*y**2. Determine w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557907 smaller than 1557892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waerabry. What is prob of sequence wary?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558985?\nAnswer: 5, 7, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2798 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/7 - 22492*x**3\/7 + 179738*x**2\/7 + 786960*x\/7 - 3371400\/7 = 0.\nAnswer: -5, 3, 10, 11238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, i: 5, a: 4}. What is prob of picking 1 i, 1 a, and 1 w?\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -49. Let i = o + 128. What is the greatest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.72 - 3.7. Which is smaller: f or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/13, 24 in ascending order.\nAnswer: -2\/13, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = 4*f. What are the prime factors of f\/((-40)\/32) + (-1 - -834)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0062385 and -0.17.\nAnswer: -0.001060545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3243*t + 97306. Give g(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -332332 (base 6) to base 14\nAnswer: -a1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 4*h + h in the form x*h + t and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2386, 9674, 21828, 38854, 60758, 87546?\n\"Answer: u**3 + 2427*u**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19560 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 162*p + 105*p - 5.\nAnswer: -57*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -438, -549?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 938535.5g in nanograms?\nAnswer: 938535500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 3646468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {u: 5, m: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-10559700)\/35)\/(-5) - 144\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109660b (base 12) to base 4\nAnswer: 30021103223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.406635 + 0.306635. Let x = -205 - -350. What is the smallest value in d, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 1. Let o be j(1). Let r(s) = -105 + 105 - s**2 + 30*s**3 - 29*s**3. Calculate r(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 31, -2, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1900)*2*-4 - ((-2*sqrt(1900) - sqrt(1900)) + -1) - (sqrt(133)\/sqrt(28) + 1)*-2))**2.\nAnswer: 196*sqrt(19) + 45623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) -5 (b) -98\/9 (c) 8 (d) 1\/3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltlid. Give prob of sequence dlil.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001848707 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1))**24*q\/q**(5\/4)*q**(2\/7)\/q assuming q is positive.\nAnswer: q**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:21 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 461568 and 5909032.\nAnswer: 4808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**6\/120 + k**5\/60 - k**4\/8 - k**3\/2 - k**2\/2 - 1. Let r(f) be the second derivative of m(f). Does 15 divide r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*p - 9. Let a be (p\/(-165))\/(651\/598203). Let m = a - -4\/1705. Calculate the common denominator of 50\/7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230.2 + -217.2. Let z = -23.6 - -10.3. Let x = j + z. Which is the closest to -1? (a) 1 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0437 and 4.\nAnswer: 0.1748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326403485\/706 - 462328. Calculate the common denominator of 21\/10 and d.\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 227.\nAnswer: -2.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(304)*1*-2 - (1*sqrt(304)*2 + -5*-1*sqrt(304)))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5147\/60 + 343\/4. Let d be (-3)\/4 - 8\/32. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 1. Let f be m(1). Let k be f + ((-8)\/(-4) - -1). Let l be k\/(-1) - (0 - 5). Solve 5*b + 10 = 4*v, l*b + 2*b - 2*v = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Let d be g + 0 + 132\/(-48). Let b = -73 + 149\/2. Sort -4\/7, d, b in decreasing order.\nAnswer: b, d, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 296*y + 1097. Calculate a(-6).\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 397 or -33?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i + 1. Suppose 11*z + 65 = 3*r, 0 = 2*r - 0*r + 5*z + 6. Let g(d) = -27*d + 4. Give r*m(x) - 2*g(x).\nAnswer: -9*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v. Let n(o) = -26*o - 3. What is q(n(s))?\nAnswer: 156*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 5 - 2*t - 4*t. Let j(b) = 6*b + 3. Let r(z) = 5*i(z) + 8*j(z). What is the derivative of r(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17\/(-4) - -4)*6 - -2. Let w(n) = n. Let y be w(4). Let g be ((-10)\/y + 2)*0. Which is the second smallest value? (a) -4 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w - 80*w + 30 = -3*t, 0 = -w + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/1790)\/((-187)\/(62645\/134))\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 - 869. Let n = x + 981.994. Let q = 0.006 + n. Put q, 0.05, 2\/3 in descending order.\nAnswer: 2\/3, 0.05, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-3) + (0 - -8). Let w(f) = 0*f - f + 0*f - y. Determine w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 7. Let i be d(-5). Let z(l) be the second derivative of l**5\/20 + l**4\/3 + l**3\/6 + 2*l**2 + 4*l - 17. Determine z(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = n, 4*t = 2*n - 10 - 0. Let f(g) = g + 2. What is the units digit of f(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752362.\nAnswer: 2, 13, 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 4)*-1 + 3201\/627?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {o: 5, k: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 5 (c) 0.166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206538 by 6.\nAnswer: -34423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 5*j + 3. Let v be i(-5). Solve 2*t + 2*t + 13 = -v*w, t + 2*w + 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3219559 rounded to 3 decimal places?\nAnswer: 0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x + 6, 12 = b + x. Let m(c) = b*c**2 - c**2 - 2*c**2 + 13*c**2. Let z(k) = -k**2 - k**2 + 0*k**2. Calculate m(z(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18685\/49912 - -4\/6239. What is the second biggest value in -2\/19, j, -3, 5, -0.19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/14 and 109\/40811518.\nAnswer: 285680626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -287 - -287. Solve r + 1 = l, -2*a = 2*a + 3*r - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 - 2*y**5 - 11922*y**3 + 102*y**2 + 255*y?\nAnswer: -240*y**3 - 120*y**2 - 71532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5\/5 - 36*p**4 + 1932*p**3\/5 + 2116*p**2\/5.\nAnswer: 4*p**2*(p - 23)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 33 = -5*n, -28 = -4*t + 3*n - 7*n. Find the second derivative of 31*l + t*l**2 - 146*l**5 + 156*l**5 - 2*l**2 wrt l.\nAnswer: 200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(121) + sqrt(121))*5)\/(((sqrt(77)*-2 - sqrt(77)) + sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*b**4 + b**4 - 4*b**4 - b - 3*b**2 to the form k*b**3 + h*b**4 + c*b + y + t*b**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from hhghoaahhhhhhhh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67019867 is divided by 706?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q**3 + 36*q**2 - 15*q + 287. What is the hundreds digit of c(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*j**2 - 188*j**2 + 321*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2415 and 441.\nAnswer: 50715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 11*g**8\/56 + 4*g**7\/21 + g**5\/4 + 1933*g**4\/12 + 34*g - 17. What is the third derivative of t(v) wrt v?\nAnswer: 1320*v**3 + 480*v**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125467\/14984 + 3\/1873. What is the common denominator of h and -61\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/318, -24, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2 + 0*q + 0 - 1 - q. Calculate d(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*((sqrt(30)*-1*-2)\/(-1*sqrt(864)))**2.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -24, -22, 6, 66, 164, 306, 498?\n\"Answer: m**3 + 4*m**2 - 37*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10453 (base 7) in base 9?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*1\/(-16)*(54\/(-15) + (-4750)\/(-1250))?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(g - g + 3*g)*(-3 + 2 - 3)*(-g**2 - 70*g + 70*g).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 66*w**3 - 2 - 2*w - 65*w**3 + 5*w**2 + 0. Suppose -4*t = -4*f + 3 + 1, -31 = 3*t + 4*f. Let b be x(t). Are 8 and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 + 196*a**2 - 200*a = 0 for a.\nAnswer: -50, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*u + 3*d - 12, -5*u + 15 = -d. Suppose -u*q - 20 = -86. Let p = q - 10. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3 - c**2 - 34848*c + 1566288.\nAnswer: 9*c**2 - 2*c - 34848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 288\/7 - 16*r + 2\/7*r**3 + 2\/7*r**2.\nAnswer: 2*(r - 4)**2*(r + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100177 = -101*n + 116*n - 77933. What are the prime factors of n?\nAnswer: 2, 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:57 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a + 1735. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-3)\/(-258)*2. Let g = -10\/22109 - 1280172\/4753435. Let z = g - s. Is z greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u + 3. Let y(w) be the third derivative of -1\/6*w**3 - 6*w**2 + 0 + 0*w + 1\/24*w**4 - 1\/60*w**5. Let f(a) = -k(a) + 3*y(a). Factor f(q).\nAnswer: -3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*n - 35*n = 56*n - 20*n + 18190 for n.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 + 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54932*x = 51204*x + 141664 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2170 divided by 187\nAnswer: 2170\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.736433mm in meters?\nAnswer: 0.004736433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*x - 89*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16870, -33744, -50618, -67492, -84366?\nAnswer: -101240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/13091401 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 7*l)*(l**2 + 0*l**2 - 3*l**2) + (0 + 0 - 2*l)*(4 + 2*l**2 - 4).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011101101101 (base 2) to base 16.\nAnswer: -476d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -19 (c) 3\/43 (d) 4 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 661468754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4932, -4801, -4670, -4539?\n\"Answer: 131*w - 5063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -4 in descending order.\nAnswer: 0.5, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -19*u - 17*u**2 + 3*u - u**3 + 2*u**2 - 16. Let a be k(-14). Is a\/(-84) - (-148)\/7 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, x: 3, v: 3}. What is prob of sequence vbbb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205003786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50347.71nm to meters.\nAnswer: 0.00005034771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 10. Calculate c(18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 43*f**10\/151200 + f**6\/40 + 16*f**5\/15 - 58*f**2. Let s(m) be the third derivative of n(m). Differentiate s(d) wrt d.\nAnswer: 172*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25380.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15.4, -0.3, -78, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.24 + -0.24. Let z = 0.0009 - t. Round z to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)*-6*(-45)\/(-180).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 10 = -7*h. Let s = 61.4 - 61. Which is the third biggest value? (a) 2 (b) s (c) h (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j*j*(j**(5\/7)\/j)\/j)\/((j**(1\/14)*j)\/(j\/(j**1*j))) assuming j is positive.\nAnswer: j**(-45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52776152 + 5*c**2 + 5*c**2 - 4*c**2 - 52776147 + 105552299.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454139.\nAnswer: 7, 64877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24994 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31775 - 459*h - 31775)*(2*h - 2*h - h)*(-1 + 2 + 0).\nAnswer: 459*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 10*h. Let c(i) = 3*i - 2. Let q(g) = -2*g + 1. Let a(s) = -c(s) - 2*q(s). Determine 18*a(y) - 2*o(y).\nAnswer: 4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1220 (base 3) to base 10\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1045 and -1067 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 - -0.13. Put 0.3, r, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43331*q**3 + q**2 - q + 1449 wrt q.\nAnswer: 259986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 - 9*w. Let s be q(-7). Suppose 0 = 34*l - s - 190. Calculate the least common multiple of 24 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*h)*(5 - 6 - 15 + 3*h).\nAnswer: 6*h**2 - 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103824499 to the nearest integer?\nAnswer: 10189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3478 and 1443.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*q + 853505, 2*q = 2*t - 2558794 + 851832. Is (-2)\/12 + t\/306 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.4102l to millilitres.\nAnswer: 43410.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/6 - 215*f**2\/6 + 1908*f + 1944 = 0 for f.\nAnswer: -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from fkkfkffkkkk.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 175 - (-223 - -131)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-27) - (-186)\/(-54) - -3)*-39. Is 17 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176269 + 66022. Let n = u - 242290.790219. Let s = n - 0.21. What is s rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 7 - 3. Let d(m) = -4*m + h*m - 2*m. Let z(c) = 12*c. Let j(a) = -5*a. Let r(x) = -5*j(x) - 2*z(x). What is d(r(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/9, -0.5, 38, 29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (258 + 331 - 526)*(0 + m + 0) + (-m + 0*m - 2*m)*(3 - 8 - 4) + (-2 - 1 + 1)*(0*m + 2*m + 0*m) as v + i*m and give i.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156544, -156563, -156582, -156601, -156620?\nAnswer: -156639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12)*(-22)\/(-110).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 12. Let c be t(9). Suppose 15 = 4*w + c. Suppose -2*h = -4*h - 3*f + 32, 0 = w*f. What is the remainder when 46 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(245) + -2 + -2*sqrt(245) - (sqrt(245) + ((3 + sqrt(245))*5 - sqrt(245) - sqrt(245)) - sqrt(245))))**2.\nAnswer: 896*sqrt(5) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/3 + 16*g**2\/3 - 6*g = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l - 168840 = -66*l. List the prime factors of l.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 57*b - 3 = -52*b, 5*m - 3*b - 37 = 0. Solve -21 = g - m*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(240\/(-56)) + (3\/(-9) - 1). Which is the closest to 3? (a) f (b) -1 (c) -0.49 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 6*b**2 - 8*b - 7. Let y be i(-7). Suppose 3*r + 4*l - 2 = 7, y = -3*l. Solve r*s - 6*s - 9 = 0, -2*a + s = -13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 42539 = 3*o - 39361, 5*o = 3*k + 136504. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 127*a + 7. Let s(f) = 3*f**2 + 128*f - 9. Give -3*p(g) - 2*s(g).\nAnswer: 3*g**2 + 125*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035985 + 0.0767.\nAnswer: 0.112685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3354 + 4951. Suppose 0 = 2*n - s + z, 0 = -2*n + 4*s - 0*s - 1606. Let c = n + 1206. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*b - 229 = -91*b + 29 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + -0.37. Let h = -20.326 - -18.326. Sort 39, h, y.\nAnswer: h, y, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 6*t**2 + t - 9. What are the prime factors of v(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 3*v**2 - 40*v - 10. What is z(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -25028*f - 225219. What is o(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Put 5, 1, q in decreasing order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-25)\/15) + (-21)\/(-45)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let x(g) = -15*g**3 - g**2 + g + 1. Let w be x(q). Let s(z) = 5*z**2 + 7*z + 11. Let i be s(-3). What is the highest common divisor of w and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t + 3*l - 15 = 44*t, 5*t + l - 5 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + q - 10*q. Let s(g) be the second derivative of g**3\/2 + 7*g + 4. Give k(s(b)).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46142*v**3 + 8411 wrt v?\nAnswer: -138426*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 201540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 + 6*o**4 - 13*o**3 - 42*o**2 = 0 for o.\nAnswer: -7, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v - 5*v)*(-v + 2*v + v)*(v + 0*v + v) in the form l + s*v + r*v**3 + m*v**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 1\/4*p**4 - 11\/2*p**2 + 4\/3*p**3 + 26 + 6*p. What is i in f(i) = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - 9 + 39 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2220 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 5*n**2 + 5*n - 6. Let y be t(-6). Solve 20 = -5*z + 4*k, 2*z - 25 = -y*z - 5*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.8 - -34.799998539. Round p to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*a + a. Suppose a = 6*u - 3*u. Suppose -364 = -u*c + 3*c + 2*n, -3*n - 368 = -4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582 and 109125?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(3 - 1 - 3) + 4 - 1 - 4 - 2 + 4 - 3 + (-2 + 4 - 1)*(-25 - 1 + 8))*(2 - 2 - 2)*(4 + 2*t - 4).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 2*k**2 + k + 3. Suppose -400*f = -407*f. Let z be o(f). Solve 2*b - z*u + 9 = 0, 0*u - 3*u + 9 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 5 - (2 + 6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122767800 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699851 is divided by 7174?\nAnswer: 6787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3458 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7911.673 millilitres to litres.\nAnswer: 7.911673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-42))\/(1*1*-3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/251 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -91.2.\nAnswer: -364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 + i - 4. Let o be u(4). Let y be o*2\/(-4) - 0. Suppose y = -11*q + 9*q + 4. Solve m = -2, -3*m - q*m = -4*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 68 (b) -10.1 (c) -1\/6 (d) 4 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07524 - 1156474.4.\nAnswer: -1156474.32476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 = 4*z - x, -2*x + 4 = 3*z. Let m(w) = 3*w**z + 41 - 2*w**2 - 40 - 10*w. Calculate m(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7041*l**3 - 24*l**2 + 5*l - 39. Let t(c) = -7041*c**3 + 24*c**2 - 4*c + 39. Let h(q) = 2*a(q) + 3*t(q). What is the third derivative of h(x) wrt x?\nAnswer: -42246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58140 and 2171020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -84\/25, -4, 0.3, 8, -2\/15, 9?\nAnswer: -84\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-230)*2470\/19\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 473 = -332. Let z = -116 + d. Which is the nearest to -3? (a) z (b) -0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(275) - sqrt(275))*5 + 4*(sqrt(1100)*-3 + sqrt(11)).\nAnswer: -66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -157*l**3 - 362 wrt l?\nAnswer: -471*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 6, s: 5, x: 3}. What is prob of picking 1 u and 2 x?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -1 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (-704)\/(-24))*(-15)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329958 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249104, -249123, -249152, -249197, -249264, -249359, -249488?\nAnswer: -249657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -26 + 2. Let v(c) = 3*c**2 - 14*c - 10. Let n(s) = -s**2 + 7*s + 5. Let d(t) = -5*n(t) - 2*v(t). Calculate d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -145*c*f**2*u + 2*c*f**2 - 3*c*u**2 - f**2*u**2 + 2*f*u**2 + 58*u wrt c?\nAnswer: -145*f**2*u + 2*f**2 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = -90*q + 102*q. Calculate the least common multiple of q and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x + 11. Let n(l) = 7*l - 7. Determine 7*n(m) + 5*o(m).\nAnswer: -m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 9. Let n be g(0). Let j = -19 + 37. Calculate the greatest common factor of j and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6294 + 6186 - ((-1 - 15) + 2 + -2 - -1).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -70*x - 130*x + 970. Solve -2*a + x = 2*l - 13, -l - 33 = -5*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(-5 + sqrt(425) + 0) + 5 + -1*(sqrt(425) - (sqrt(425) - (-2*sqrt(425)*3 + sqrt(425)))))**2.\nAnswer: 230*sqrt(17) + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2. Suppose 3*m + 4 = 5*h + 5, -15 = -5*m - 5*h. Let q(g) = -3*g**2 + 0*g**m + 3*g - 3*g. Give v(q(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-679578)\/19482 - (-2)\/(-17)*1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7420090 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 12989857 = -331*y + 15795754. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 39270846.\nAnswer: 117812538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/15181822 and 77\/16.\nAnswer: 121454576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2*r**2 + 67 + 127 - 3*r**2 - 2*r.\nAnswer: -r**2 - 2*r + 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/2 + 10*a**3\/9 + 11*a**2\/3 + 2*a - 4. Factor g(f).\nAnswer: -2*(f - 3)*(f + 1)*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13626*(-10)\/(-1080) + (196\/24)\/7?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34785621.\nAnswer: 3, 13, 17, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 107 - 329. Let p = -1 + -2. Let q = 22 + p. Calculate the remainder when x is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111111000000010110 (base 2) in base 16?\nAnswer: 37f016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -53*t + 54*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.7 - -47.4. Let h(t) = 6*t**2 - t. Let q be h(1). What is the smallest value in p, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 689 - 685. Suppose -a*k + x = -6*k + 92, 0 = 5*x + 10. Calculate the remainder when 561 is divided by k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 - 1 - -2 - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 12*t**2 - 467*t - 3022. What is h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4438*m**3 + 1720*m**2 wrt m?\nAnswer: 26628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 14*m**2 + 148*m + 13. Let a be d(-21). Let n be (150\/a)\/((-7998696)\/2666240 + 3). Round n to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n + 1168 = 29*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1926 and 3638.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6008375, 12016746, 18025117, 24033488?\n\"Answer: 6008371*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 643530000 to the nearest one million.\nAnswer: 644000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.367516 * 1.7.\nAnswer: -14.2247772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66491035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h + 18. Suppose -62*w - 1369 - 1361 = 133*w. Is h <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16915078502639\/9422 + -1795274735. Let n = w - -4\/673. Find the common denominator of (-2172)\/78 + 28 - 259\/(-2288) and n.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2106 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52995\/8 - -6616. Find the common denominator of b and -43\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 7, 2, -3.\nAnswer: -3, 2, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxf when three letters picked without replacement from {x: 2, k: 1, a: 4, p: 1, f: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7226493 to the nearest integer?\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)\/((k\/k**(-6\/7))\/k))\/(k**(-3)\/((k*k**(2\/5)*k)\/k)))**(2\/155) assuming k is positive.\nAnswer: k**(-312\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - 98?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 37. Suppose o*d + 6 = 4*q + 18, -3*q - 5*d = -7. Let u = 1.3 - 1.37. Is q at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, -0.5, -5\/189, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992232399.\nAnswer: 331, 6018829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35144)\/11760)\/((-1)\/(-3)). Let y = u - -13\/49. Find the common denominator of y and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -722, -546, -368, -188, -6?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 3*d - 35. Calculate y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, s: 4, x: 3, y: 2}. Give prob of sequence ry.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.1277ug in tonnes?\nAnswer: 0.0000000005101277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72669107*l + 165870888?\nAnswer: 72669107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -21. Let r = l + -14. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1003.44 + -1044. What is w rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/4299 + -153371\/42990. What is the common denominator of i and -119\/138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -2*m, 597 - 578 = -5*m + r. Which is the closest to m? (a) 2\/5 (b) 4 (c) 1 (d) 550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3488 and 11180896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -1250, -4277, -10182, -19925?\nAnswer: -34466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0 - 4. Suppose -4*i - 18 = 5*f, -u*i - 20 = 5*f + 4. Let j = 5 + f. Which is the closest to 0? (a) -0.1 (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -853661\/25261830 + -166\/14773. What is the common denominator of l and -113\/1140?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.009 + -1.991. Let b = -505 + 504. What is the closest to b in -0.2, 6, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 284, 1169, 2674, 4823, 7640, 11149, 15374?\n\"Answer: 4*v**3 + 286*v**2 - v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2560 * -0.056.\nAnswer: 143.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595544758.\nAnswer: 2, 17, 839, 55933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ekkweee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -4, 0.008, -2\/37, -3, -5?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -65\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h**2 + 3*h + 21. Give y(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.079 and -8.\nAnswer: -0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2760\/(-48))\/(-23)*2*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2019 and 196640?\nAnswer: 397016160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1.2, 0, 0.5, -2\/7 in decreasing order.\nAnswer: 0.5, 0.1, 0, -2\/7, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 37. Give y(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 59*y - 2. Let n be t(4). Let a(k) = 18*k + 888. Let b be a(-49). Calculate the highest common factor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 437 + -404. Is 26 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 1. Suppose -2*s - 1 = -s. Let c(j) = -9*j**2 - 4. Let z(v) = s*c(v) - 4*b(v). Is 5 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4987, 40108, 135507, 321322, 627691, 1084752, 1722643?\n\"Answer: 5023*f**3 + f**2 - 43*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*v, 2*v = -o - 35 - 4. Let h = 13782 - 13814. Is o not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -173, 1967, 4111, 6259, 8411?\n\"Answer: 2*u**2 + 2134*u - 2309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3143 - 3142)*((-1)\/((-1)\/12) + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 12) in base 16?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 375167.5 weeks?\nAnswer: 2626172.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/27)*z**7*z*(z**1\/z)\/((z\/z**(-2\/19)*z)\/z) assuming z is positive.\nAnswer: z**(3518\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74 + 2*q + 44*q + 29*q + 16*q wrt q?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.6906 weeks to hours.\nAnswer: 31868.0208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*2.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 7, m: 8, r: 2}. What is prob of picking 2 m?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 - 7*q**2 + 14*q - 186. Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggnggngnggggngggg. What is prob of sequence gng?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f. Let o(n) = -n - 2. Let j(l) = 12 - 6 - 3. Let w(v) = 2*j(v) + 3*o(v). Determine w(c(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 4*j**2 - j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0585959 rounded to three decimal places?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-110))\/(1\/77).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*k**5 - 44*k - 34*k + k**5 + 45*k wrt k.\nAnswer: -800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-35) - 46\/(-10). Find the third derivative of -j*g**2 + g**2 + 5*g**2 + 4*g**6 wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 425 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 2\/5 (c) 1\/4 (d) 4 (e) 3\/4 (f) -2\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2053 (base 7) to base 4.\nAnswer: -23110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3357?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(28)\/sqrt(144)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11295 = 413*j + 340*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 17*y. Let f(i) = -3*i + 2. Let t be f(y). Solve 10 = -t*w - 0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111101 + -100011010010101110?\nAnswer: -100011000011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + i**4 - 3*i**4)*(-14 + 14 - 15*i)*(1 - 2 - 2).\nAnswer: -45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 378*m + 8 - 4*m**2 - 378*m to d + n*m + y*m**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3136.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 241*m**2 + 30*m - 157. What is the thousands digit of n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*z + 13 = -118, 4*x = -4*z + 124. Which is greater: 33 or x?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/11 (c) -0.4 (d) 382 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 - 3*d + 7. Determine r(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 44\/15, -2\/5, 0 in descending order.\nAnswer: 44\/15, 0.2, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3325 - 69111 = -4304*m + 21655 + 597 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 204308 >= 204309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggppkgpghghkgkgp. What is prob of sequence hg?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17450 and 1245930.\nAnswer: 6229650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 + -181)\/((-6)\/4). Suppose -4*d - 2 = 78. Let u = 32 + d. Calculate the highest common factor of u and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 5 (c) 0.1 (d) 11 (e) -28 (f) -13\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -13a?\nAnswer: 13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817222 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30764*j - 1 = 30769*j - 2*z, 0 = 3*j - z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -501*f**3 - 19*f**2 + 11*f - 9. Let r(m) = -251*m**3 - 10*m**2 + 6*m - 5. Let x(k) = 11*r(k) - 6*s(k). Let j be x(-1). Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 28*s**2. Let a(c) = -c**3 - 19*c**2 - 16*c + 36. Let b be a(-18). Let z(h) = 19*h - h**2 + b*h**2 - 19*h. Determine n(z(l)).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 7*a + 2. Let n be y(-6). Let m be 1\/(-6)*6\/14*n. What is the smallest value in -0.1, -3, m, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 93 - 23. Let m(u) = 47*u**3 - 5*u**2 + 8*u - 4. Let l be m(5). Suppose -x*j = -0*r - 3*r - 5782, -r + l = 5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 24*y + 107. Let i be k(6). What is the nearest to i in 3\/4, 4\/7, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/807766 and 17\/425140?\nAnswer: 8077660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(42\/(-105)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27883625 to the nearest integer?\nAnswer: 5280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 371*l**2 + 375*l**2 - 745*l**2 in the form r + s*l**2 + m*l and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 476376 - 7573?\nAnswer: 466603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.901 and 0.1233.\nAnswer: -0.1110933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 14*o**3 - 614*o**2 - o + 1238*o**2 - 3 - 616*o**2 to the form x + p*o + s*o**4 + u*o**2 + q*o**3 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 1012 = -41. Let c = 198 - x. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8758 - -11471. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*v**4 - 25*v**3 - 18*v**2 + 2*v + 2 wrt v?\nAnswer: -2424*v - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3447041.\nAnswer: 13, 265157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 6 + 6)*(-51 + 3*y + 46 + 131).\nAnswer: -3*y**2 - 126*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1247*i**2 - 3879*i**2 + 1184*i**2.\nAnswer: -1448*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.1. Let c = p + 2. Let b = 0.35 - 0.05. What is the biggest value in b, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 5. Let l be j(5). Let i be 8\/(-12)*-15*40\/50. Suppose 0 = -2*q - l - i, 0 = 2*a + 3*q - 226. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 23 = -4*i, -3*i + 12 = 8*v - 10*v. Suppose -i*g + 5*h = -31, -12 + 52 = 5*g - 5*h. Solve x - 3*o = -0 - 1, 0 = g*x - 3*o + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k**3 - 5\/4*k**4 + 2*k + 3 + 0*k**2. What is the first derivative of u(i) wrt i?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -724014*z + 399238 wrt z?\nAnswer: -724014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14915*k - 3*k**2 - 14915*k - 10*k**3 + 3*k**2.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 29 = -3*l, 2*l + 4 + 10 = 4*o. Let y(s) = 2*s**3 - 5*s**2 + 4*s + 1. Let f(z) = 11*z - 4. What is the lowest common multiple of y(l) and f(2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12540 by 285.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -313, -305, -283, -241, -173?\n\"Answer: j**3 + j**2 - 2*j - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 112, 5, 0, -19\/4, 3\/170?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*t**2 - 82*h + 91*t**2 + 131 with respect to t.\nAnswer: 2*h*t + 182*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 28*f + 2\/3*f**4 - 11\/6*f**3 + 3*f**2 - 1\/20*f**5 + 0. Let y = 21 - 14. Calculate j(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 39 = -87. Suppose 0 = 3*j - 33 - g. Calculate the greatest common factor of j and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c340 + -8?\nAnswer: -2c348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -336.4 - -336. Which is the nearest to -1\/4? (a) -39\/8 (b) -5 (c) m (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3304276 (base 10) in base 15?\nAnswer: -4540a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 989 + -1007. Put -2\/15, 3\/8, -1, v in decreasing order.\nAnswer: 3\/8, -2\/15, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 289, 5, -2, -1 in decreasing order.\nAnswer: 289, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u. Let x(p) = -66*p**2 - 22*p. Calculate m(x(i)).\nAnswer: -1056*i**2 - 352*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -330, -353, -382, -417, -458?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 m when three letters picked without replacement from nmink.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 1357 = 31*t. What is the remainder when 205 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let k(d) = -18*d + 18. Let z(c) = -k(c) + 15*m(c). Let p(x) = x - 16. Let n be p(20). Determine z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 4, c: 2, j: 5, f: 4}. Give prob of picking 4 j.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 573*s + 21923. Let j be b(-36). Let c = 41 - 27. Let w be 12*(-4)\/c + 2. Is j smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/12 + 51\/18)*2. Suppose -c + 11 = 2*x. Suppose 11 + 12*p**2 - 3 - x*p**3 + p**3 - 20*p - 4*p**4 + 6*p**3 = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(272) + 5*(-1 + sqrt(272))) - ((sqrt(272) + -1)*3 - -4*(sqrt(272) + 1)))*6.\nAnswer: -600*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233967 (base 13) to base 5.\nAnswer: -203231331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q + 65. Let y be i(-18). What is the greatest common divisor of y and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/27)\/y)\/y**(-8))**(-3\/19))**(-14) assuming y is positive.\nAnswer: y**(2618\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/16 and 67\/31036.\nAnswer: 124144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*2)\/(-10 - 138852\/(-13887)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let a be u(4). Let m be a\/(-15) - 11\/(-5). List the prime factors of (0 - 11)*m*-1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4921 is divided by 1630.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - c**2 - c**2)*(-43*c**3 - 6*c**3 - 36*c**3).\nAnswer: -255*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 2 + 2)*(-5 - 2*u + 5)*(62*u - 321 + 321).\nAnswer: -744*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + (-404)\/(-8))*1\/6 and 127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438715706 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 167400?\nAnswer: 334800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 3612*89\/1869?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/7 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.5 (c) 495\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2432)\/2880 - (-8)\/18.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 568185323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 1:44 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Let y be (-48)\/(-5) - b\/(-5). Let n(s) = 1 - 1 + 2*s. Let f(r) = r. Calculate y*f(g) - 6*n(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 take away -13676707.737?\nAnswer: 13676646.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95978607.\nAnswer: 3, 31992869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -m. Suppose -2*c + 2*j + 18 = -0*j, c + 11 = -m*j. Suppose 2*z + 0*z - 16 = 0. What is the least common multiple of c and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -14*x - 1380. Let q be (-10)\/(15\/(x\/16)). Solve 0 = -4*h + q*d - 2*d + 14, -3*d = 2*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517739 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20301 and -3317.\nAnswer: -67338417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - u + 2)*(9*u + 2 - 9*u**2 + 0*u**2 + 7*u**2).\nAnswer: 2*u**3 - 9*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1336, -2627, -3884, -5107, -6296?\nAnswer: -7451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*t = 84*t + 81. Calculate the remainder when 57 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 6280*g**2 + 6288*g**2 + g - 2*g**3 + 2 in the form d*g + s + q*g**3 + a*g**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -521*c**3*n + 45097*c**3 - 32*c*n - 2*c + 9928*n - 3 wrt c.\nAnswer: -3126*c*n + 270582*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -16. Suppose y = -4*y + b. Let f(p) be the third derivative of -p**4\/24 - p**3\/2 + 5*p**2. Determine f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 2, l: 4, g: 1, v: 1}. What is prob of sequence lrk?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 10*q - 5. Determine t(8).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - (-400)\/144. Suppose -x*r - 35 = -10*r. Suppose 2*q**4 - 4\/7*q**3 + 0 - 8\/7*q**r + 0*q - 2\/7*q**2 = 0. What is q?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 8}. What is prob of picking 3 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52098 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2*5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 258 = -4*l, 381 - 33 = 4*j - 4*l. Let b = 17 + 1. Calculate the remainder when ((-590)\/60)\/((-5)\/j) is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4*v - 77*k**2*v**3 + k**2 + k*v**2 - 3*v**3 wrt k?\nAnswer: -12*k**2*v - 154*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 16, -5*s - r - 145 = 114. Sort s, 38, 2.\nAnswer: s, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30924 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98968, 98966, 98964?\n\"Answer: -2*x + 98970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15719*x**2 - 30311?\nAnswer: -31438*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 30*k. Let u(s) be the second derivative of -s**4\/3 + 116*s. Determine r(u(v)).\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -89 and -132944.\nAnswer: 11832016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 + 4*x. Let k(b) = 7*b**3 + 6*b**2 + 5*b. Let o(t) = -8*t**3 - 7*t**2 - 6*t. Let q(f) = -7*k(f) - 6*o(f). What is h(d) - 4*q(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from zppp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -p - 5*v, -p + 289*v + 6 = 284*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) + -2*sqrt(76))**2 - ((sqrt(76) - (2*sqrt(76) - sqrt(76))) + 1)) + 2 + -2*(sqrt(1900) + sqrt(1900)*-2 - sqrt(1900))*-4 + -4.\nAnswer: -160*sqrt(19) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492 and 6232.\nAnswer: 18696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(10) - (3*sqrt(10) - sqrt(10))))\/sqrt(6).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35108 and 4.\nAnswer: 35108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Suppose 0 = 5*q + 43 + 2. Let y(p) = -4*p + 3. Let u(a) = 3*a - 4. Let b(h) = 3*u(h) + 4*y(h). What is q*j(l) - 4*b(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21.4, -3\/7, 1, -0.06, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6178379\/65333380 - -4\/137255. Find the common denominator of r and -143\/168.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*z - 9, -5*c = -0*c. Suppose 4*h - z*q - 19 = 0, 0 = -4*h + q + 4*q + 21. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -994 divided by -1\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 403184 and 28990?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -147552?\nAnswer: -147523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*m - 203 - 271, 2*c - 4*m = 242. Let u = c + 83. Suppose 5*b + 0*w + 4*w - 339 = 0, 3*b + w = u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - 153\/18)*-2 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 586, 2514, 6090, 11608, 19362, 29646, 42754, 58980?\nAnswer: 78618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212132302 - 3233?\nAnswer: -212202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5400415 (base 10) to base 2.\nAnswer: 10100100110011101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 2*y**2 - 1. What is the units digit of t(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2\/1 + -2). Let h(t) = -4 + 3*t + f - 4. Does 9 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 31. Let i be g(10). Suppose i = 9*r + 5. Suppose -u = 4*a + 2 - 0, -3*u + 10 = -r*a. What is the highest common factor of 14 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 11\/90*o**5 + 0 + 13\/72*o**4 + 19*o**2 + 0*o + 1\/6*o**3 + 1\/1008*o**8 + 1\/20*o**6 + 1\/90*o**7. Factor l(b).\nAnswer: (b + 1)**4*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 3.1, 0, 2\/9, 2\/3, -0.2761?\nAnswer: -0.2761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 - 2*t + 3. Let b be a(-6). Suppose 3*z + 3*w = -b, -3*z + 4*w - 93 = w. Is 8\/(-3)*405\/z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = 21*h + 39. Let w = 2 - h. Solve 0*r - 3*r = -w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*c - 4, -f - 3*f + 4*c + 16 = 0. Let r be -2 + (-36)\/4 + 11. Suppose 0 = 3*l + i, 2*i + 0 + f = r. Put l, 3, -12 in increasing order.\nAnswer: -12, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/5 - 36*u - 300.\nAnswer: -3*(u + 10)*(u + 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.238622g to tonnes.\nAnswer: 0.000000238622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 366 - 2153\/6. Find the common denominator of i and -107\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46972 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 2*w**2 - 5*w + 2. Let u(l) = -l**2 - 9*l - 12. Let m be u(-8). Determine r(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102447?\nAnswer: 3, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2\/5*y**2 - 6 - 1\/5*y**4 - 2\/5*y**3 + 6\/25*y**5 + 0*y. Solve v(w) = 0 for w.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-15)*(-3)\/(-2). Let g = 3.593 + -0.593. What is the nearest to g in -1, -2\/11, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*w - g, g - 3 - 9 = 3*w. Let a be (2 + w)*-3 + (-908)\/20. Let y = a - -1499\/35. Which is smaller: 0.4 or y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43\/8 or 5?\nAnswer: 43\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2206*x**3 + 93*x**2 + 5*x - 7. Is y(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(176) - (sqrt(176) + 1 + sqrt(176))*-6 - (4*(0 + sqrt(176)) - sqrt(176)))**2.\nAnswer: 480*sqrt(11) + 17633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(55)\/sqrt(5) + sqrt(539) + -1.\nAnswer: 3 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/108 + (-3)\/9. Let b = 26.89 + -27. What is the closest to 0.1 in h, b, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2095 equal to -2096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 100.8. Which is the closest to 1? (a) -1 (b) -1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5974 and 4234?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 45, 28, -7, -66, -155, -280?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 403, 586, 757, 916, 1063?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 946386 to the power of 1\/2, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13830*s - 123136. Give x(-9).\nAnswer: 1334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(1000)*4 - sqrt(1000))\/(sqrt(320) - ((sqrt(320)*-1 - sqrt(320)) + sqrt(320))*4 - sqrt(320) - sqrt(320))*-1 + 1)**2.\nAnswer: -30*sqrt(2) + 353\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -492*l**3 - l**2 + 11. Is 141 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 53.69. Let f = -15.74 - -10.03. Let j = f - x. What is j rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 20\/53023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 12:21 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*y - 8, 34 - 14 = -5*w - 3*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -3057550?\nAnswer: -1\/611510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 40128*i**2.\nAnswer: -3*i**2*(i - 13376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286886 and 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 173, 169, 165, 161?\n\"Answer: -4*u + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85683*r + 85680*r = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 1:51 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.43 times 8.161?\nAnswer: -117.76323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -52. What is the remainder when o is divided by (16\/(-8))\/(5\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 261 = 2*t - 776, -508 = -2*t + 2*c. What is the highest common factor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(833) + ((sqrt(833) + 4)*6)**2 + sqrt(833) - ((-1*sqrt(833) - sqrt(833)) + 4)*-6)*-5.\nAnswer: -764625 - 48650*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -314*h + 3796. Determine q(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1054*b**6 + b**5 - 3529*b**3 - 23989*b**2 - 106.\nAnswer: 126480*b**3 + 60*b**2 - 21174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v*w*x**2 - 7795*v*w*x + 2*v*x**2 + 2*v - 7009*w*x**2 wrt x.\nAnswer: 12*v*w + 4*v - 14018*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 113. Suppose 2*k = -4*l + z, 4*k + 82 = 5*l + 2*k. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62608 > 438252\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*d**3 + 376*d**3 + 371*d**3 + 372*d**3 - 1863*d**3 + 330*d**2 + 373*d**3.\nAnswer: 3*d**3 + 330*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z + 5*n - 14684 = 49*z, -3*z = 4*n - 44096. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 10*i + 3. Let p be j(10). Suppose 6*v - 4454 + 494 = 0. Suppose -v = -p*a - 57. Is a a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9326324537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1445*c. Let q(t) = 4915*t**2. Determine q(r(d)).\nAnswer: 10262642875*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36461216 a multiple of 2186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3174381.\nAnswer: 3, 7, 50387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*t + 5 - 2, 0 = 5*j - 4*t - 19. Solve 4*q + 11 = -4*r + j, r + 6 = -2*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13306*i**3 - 3*i**2 + 117385*i wrt i?\nAnswer: -79836*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 223 + -26244653?\nAnswer: -26244430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s + 8. What is c(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 6. Is p(10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 45 (c) -2 (d) -1651\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1426\/30*2\/(-4). Let c be 108\/(-75)*70\/(-3). Let u = c + b. What is the common denominator of u and -51\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.41451cm in kilometers?\nAnswer: 0.0006541451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sessshssheee?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - g**2 - 3*g**2)*(-2*g + 2*g - g)*(-4 + 2 + 3).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -0.06, -1870?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*u - 239 = 0, 151 = -2*l + u - 0*u. Let t = l + 84. What is the remainder when 42 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18648719 bigger than 18648720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeozepeepereggeee. What is prob of picking 1 p, 1 e, and 1 o?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put 9, -185231, -27 in ascending order.\nAnswer: -185231, -27, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -19499*l - 4. Let i(s) = 19499*s + 5. Let b(m) = 2*i(m) + 3*n(m). Let y be b(2). Round y to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 0. Let w(y) = -2*y. Let s be w(g). What is the second derivative of 0*a**s + 0*a + a + a**4 wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -5. Suppose 3*z = -5*f + 67, f = -z + 6*f - t. Solve 0 = -2*n + 4 - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + s = 13, -2*s + 4*s = 10. Suppose -49*i + 52*i - 1248 = 0. Suppose -a*m + i = -4*m. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13 - 19 = 0. Let i be 12\/(-24) - (-243)\/n. Let f = i - 367\/3. Which is the closest to 2\/7? (a) f (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104956 and 105716.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*r + 5, -10 = -3*w + w - 4*r. Let z(n) = -3*n + 11. Let l be z(w). Let a be 27\/(-6)*l - -4. Solve 5*k - y = -5*y + a, 0 = -k + y - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(975\/(-25)))\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*5\/(-30)*-10. Let v(m) = m**2 + 6*m - 6. Determine v(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, n: 1, v: 1, l: 1, b: 3}. Give prob of picking 1 l, 1 i, 1 n, and 1 v.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (900\/4 - -2). Suppose -250 = -3*r - 4*k, -4*r - 4*k = k - 334. Let b = u - r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 74566.88 weeks?\nAnswer: 521968.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let k be -9*(1 - (0 - c)). Suppose k = 2*p + p. Sort -4, 1, p.\nAnswer: -4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3068420 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7573547988.\nAnswer: 2, 3, 210376333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -1\/8 (c) -2\/7 (d) 4.1 (e) -1 (f) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 10. Calculate the least common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.92605l?\nAnswer: 5926.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 3340\/(-300)) + (-16)\/2*(20 - 19).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2897677 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/180 + v**4\/9 - 5*v**3\/6 - 3*v**2\/2 + v - 35. Let h(q) be the first derivative of m(q). Factor h(n).\nAnswer: -(n - 5)*(n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 22. Determine z(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 3\/20*j**5 + 0*j**2 + 1\/4*j**4 + 0*j**3 + 0 + 3*j. What is the third derivative of m(o) wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111100011 (base 2) in base 3?\nAnswer: 2202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/3 - 758*k**3\/3 - 54752*k**2 - 2502816*k = 0. What is k?\nAnswer: -348, -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-16)*p*p)\/(p*(p**(-15\/2)*p)\/p)*(p*p\/(p**1*p))**(-31\/2) assuming p is positive.\nAnswer: p**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 678*i**2 + 2*i - 2 + i**3 - 680*i**2 + 6*i**3 to the form f + d*i**3 + u*i**2 + z*i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1113 and 41\/21.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2*d**3\/15 + 7*d**2\/5 + 12*d\/5 - 427. Determine u, given that i(u) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 127 and 128 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1685 and 4127913?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -303*f**2. Let r(k) = 3*k. What is r(h(x))?\nAnswer: -909*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/5, 0.09, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2197, 1870, 1545, 1222, 901, 582, 265?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354002 and 1386.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 2*u. Let l be q(-3). Suppose 6*p - 8 = 2*p. Suppose 3*a = -l*f + 60, -p*f + f = 3*a - 56. Calculate the least common multiple of 20 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**5 - 2889704*b**4 + 7*b**3 - 646*b**2 + 227*b + 29?\nAnswer: -240*b**2 - 69352896*b + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -26*t**2 - 283*t + 49. Let k be v(-11). Solve k*g = 17*g - 4*w + 4, w = -4*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -15. Suppose 0 = 5*t - 3*y + 15, 0*t - 5*t - 5*y + x = 0. Find the third derivative of -41*w**2 + 47*w**2 + t*w + 0*w - 5*w**5 wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.148 - 2.448. Which is smaller: t or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 7*l**3 + 0*l**3)*(5*l - 3*l**2 + 4*l - 5 - 7*l).\nAnswer: -9*l**5 + 6*l**4 - 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49644719400 + -162.\nAnswer: -49644719562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 233834?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 15) in base 9?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**5\/20 + 29*a**4\/16 - 99*a**3\/4 + 1215*a**2\/8 - 729*a\/2 - 239. Solve g(h) = 0 for h.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**4\/8 + k**3\/6 + 3*k**2. Let p be m(1). Suppose -p*l + 300000 = -l. What is l rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, -247.1.\nAnswer: -247.1, -4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -16*d + 30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.98 + -0.02. Let d be 165\/(-35) + 5 - (-3)\/14. Which is the biggest value? (a) -1\/3 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -256 - 4*h + 242 + 58*h**2 - h**3 - 56*h**2 + 23*h. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - 0.2. Let k = 0.42 + -0.02. Let n = k - w. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqy when three letters picked without replacement from yyyyyyyyyqm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*p + 29 = 0, -5*p = -2*b - 8*p + 30. Let w = 1 + 0. Calculate the greatest common divisor of w and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266 + -261. Suppose -3*m - 2*m + s + 2202 = 0, -t*m + 2220 = 5*s. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of ((-12)\/(-16))\/((-43)\/(-5332))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/3 - 3394*l**3 + 152941*l**2\/3 - 47586*l = 0?\nAnswer: -10197, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/7, 2, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b3e (base 16) to base 4.\nAnswer: 13230332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 2. Let r be t(-2). Suppose r + 68 = 4*a. Let c(x) = 209*x. Let m be c(1). Calculate the highest common factor of a and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 141?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**2 - 2*a + 5. Let g be y(-5). Suppose 0*o - 5*o + 24 = -f, o - 1 = 4*f. Is 4 a factor of g\/(-25) - 2\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -17. Suppose -24 = 2*t - 2*g, -t - 5*g + h*g - 16 = 0. Let l = t - -14. Solve 2*m + 13 = l*u, u + 2*m - 11 = 4*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 4 + 39*u + 4 - 4 - 1 as m + t*u and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*b**3*y**4 - 4*b**3 + 43*b**2*y**4 - 5721*b wrt y.\nAnswer: 372*b**3*y**3 + 172*b**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*k + 17, -j + 3*j = -k + 13. Suppose -3*z + j*z = 224. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 1\/6*h**4 + 0 + 0*h**3 + 13*h + 0*h**2. Let c(i) = 13*i. Give c(j(v)).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*j = j - 18, -4*j = -3*l - 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {l: 3, k: 1, x: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*l**2 - 24*l - 4*l**2 + 24*l in the form a*l + w + m*l**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297063?\nAnswer: 3, 13, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 3)\/(44 - 42) - 16.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 1, j: 2, x: 7, f: 4}. What is prob of sequence fobj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 55029, 9, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252.63 > 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719918643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1224086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + j**2 - 2*j**2)*(23321 - 7293 + 24123 - 5280 + 10486 - 5072).\nAnswer: -40285*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 993+20.568633\nAnswer: 1013.568633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 7:46 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -49 - 31 - -56 - -19\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1073 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -43179195\nAnswer: 43179191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/12 - 17*n**3\/6 + 6*n**2 + 2*n + 14. Calculate f(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17632 and 6.\nAnswer: 52896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158528 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7629257177 - 15849493817. Let f = n - -8220236762.00000057. Let d = f - 122. What is d rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 3*z + 9. Suppose d + 0*d - 12 = 4*i, 3*i = -d - 9. Let h be (-3 - i) + -2 + 1. Sort z, 2, h.\nAnswer: z, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(80) + sqrt(20) + -4)**2.\nAnswer: -72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 3*s + 5. Let f be d(4). Suppose 0*l + f = l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/246*2\/((-8)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, 860, 2383, 4528, 7301?\nAnswer: 10708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**3 - p + 1. Let w be k(1). Let s(g) = 14*g - w*g - 6*g. Let u(v) = -2*v. Give u(s(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/60*10 - 312\/1008\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 10:30 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 26) + (-11 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1262.74514.\nAnswer: -126.274514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16602631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/q**(-3)*q*q)\/q)\/q*q)**(-14\/3) assuming q is positive.\nAnswer: q**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -14. Let i(p) = -p**3 - 2*p**2 + 5*p + 6. Let n be i(-4). What is the highest common divisor of h and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 1\/3, 603?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -318 divided by 755736?\nAnswer: -53\/125956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61605\/2 + 555*r + 5\/2*r**2 = 0. Calculate r.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135840*d**4 - 9*d**2 + 2*d + 5916?\nAnswer: 3260160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228, -4188, -8982, -15496, -23616, -33228, -44218, -56472?\nAnswer: -69876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 36 = -4*q, 3*s - 3*q - 17 = 7. Suppose x - 2*j - 209 = 0, -3*j - 840 = -s*x + j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 568.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 576*n + 583*n - 1182*n + 23. Let y(p) = 116*p - 116. Suppose 0*r + 12 = 2*r. Let i(c) = r*y(c) + 29*d(c). Find the first derivative of i(b) wrt b.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:31 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 2:40 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 + -0.31. Let z = -2658.15 + 2656. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.031 - -0.031. Let m = u - -4. Let b = m - -7.7. Is b smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/9 + 23\/9. What is the third smallest value in -29, -1, -5, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262405992 to the nearest integer?\nAnswer: 16199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 9 = -9. Suppose 36*o - 45*o + 1395 = k. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v - 157. Let j(r) = -151*r + 1223. Let d be j(8). Give y(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -55 (b) -152 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -362 + 402. Calculate the remainder when 148 is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2545 + -2363. Calculate the remainder when f is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -25*y**2 - 39*y + 28. Calculate d(2).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1.5 (b) -1\/5 (c) -0.07 (d) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12655, 9359, 6063?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -126\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)\/r)**(-32)*(r\/(r**(-2\/3)\/r))**42*((r*r**(2\/7))\/(r*r**(-2)))\/(r*r\/(r\/r**1)*r*r*r**(-3)) assuming r is positive.\nAnswer: r**(961\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 3. Let c be j(4). Let y = c - 7. Suppose 0 = 5*m + 3*o - 95, 10*o - 5*o = y. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34402885 by -6880577.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 divided by -5?\nAnswer: 191\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-12)\/(-40))*(24 + 0). Find the third derivative of -98*a**2 + n*a**2 - 6*a**5 + 20*a**5 wrt a.\nAnswer: 840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1374, 7940, 23454, 45162, 73058?\n\"Answer: -h**3 + 3106*h**2 + 3*h - 4482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 24*c + 28. Let f be y(-23). Suppose 0 = f*z + 5*q - 15, -z - 4*z + 7 = -3*q. Solve 2*p = 4*p - z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.55462ml in litres?\nAnswer: 0.09455462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -39*a + 8. Let c be m(-7). Let p = -277 + c. Let r be (6 - 1) + 0 - 1. Solve k = -5*f - 16, -4*f = -4*k + r + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/2663058833?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -383bb93 + -3?\nAnswer: -383bb96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + 5 + -12) - -80 - (10 + -7).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r + 2*r**2 - 2*r + 0*r - 9. What are the prime factors of f(4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18447 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 3, 917?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15467.43609 to the nearest 10.\nAnswer: 15470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -678696, -678703, -678712, -678723, -678736?\n\"Answer: -n**2 - 4*n - 678691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.5218 times 1.9?\nAnswer: -532.99142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22234453*y**5 + y**2 - 356814 wrt y.\nAnswer: -1334067180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105.6 + 0.6. Let j = -110 - o. What is the nearest to 0.05 in -4, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/3 (b) -3 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 1619*b + 546*b - 4*b**2 - 3*b**2 + 934*b to u*b**2 + p*b + g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16332?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 33*h + 51. Calculate w(-8).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 35*j - 5. Let w(a) = 23*a - 3. Let x(d) = -5*h(d) + 8*w(d). Let f(l) = 8*l + 1. Give -6*f(g) + 5*x(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14235 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3049490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1) - (-37 - -36). Suppose 2*u = -4*y - y - 1, -c*u = y - 9. Is y not equal to 2\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -1\/3, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26390600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/160556 and 34\/5659599.\nAnswer: 22638396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 6 = 3*l + l, 4 = -2*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z + 2*z**2 - 85835*z**3 - z**2 + 85897*z**3.\nAnswer: 62*z**3 + z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*a + 181*a - 908*a + 185*a + 178*a + 177*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-525))\/(6\/(-14))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 101. Let g = u + -221\/5. Let z = -1940 - -1940. Which is the smallest value? (a) g (b) 1\/2 (c) z (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 x when four letters picked without replacement from xgyng.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/11 + -489\/110. Let d(z) be the second derivative of 0 + 0*z**2 - z - 1\/15*z**4 + 0*z**3 + v*z**5. Factor d(j).\nAnswer: 2*j**2*(5*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -25*g - 1. Let c be r(-11). Let s = c + -273. Let m = -3 - -7. Sort 0, m, s, -2.\nAnswer: -2, 0, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0827 - -0.1703. Let r = 73 + -73.047. Let j = v - r. Which is the nearest to -1? (a) 7 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149289622 to the power of 1\/2, to the nearest integer?\nAnswer: 12218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2057229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t + 3. Let b be q(0). Suppose b*o - 3 = -0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 4*i**2 - 14*i\/5 + 392\/5.\nAnswer: 2*(i - 7)**2*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/11*f**2 + 0*f - 2\/11*f**3 + 2\/11*f**4 + 0 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1382*p**2 + 254*p + 39. What are the prime factors of o(5)?\nAnswer: 3, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4731977*a**3*i*q + a**3 + 2*a**2*i - a**2 - 2*a*i*q + 82136*a*i wrt q.\nAnswer: 4731977*a**3*i - 2*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2510*r**2 + 8*r + 20882 wrt r?\nAnswer: 5020*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 7*m - 19)*(-m + 6*m + 2*m) in the form v*m + o*m**2 + j and give o.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -o - 34, o = 6*o + 10. Let v be 27\/60 + 2\/d. Which is the smallest value? (a) v (b) -0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.4, -0.4, 2\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.75676 rounded to one dp?\nAnswer: 128.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8572.3ns?\nAnswer: 0.0085723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2424 - -2502. What is the greatest common factor of d and 2496?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l - 4*l + 4068058 = 4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k - 2. What is m(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 1040736400?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7352.634 litres to millilitres.\nAnswer: 7352634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*i - 2084946 = 463235 + 2144017. What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 4963.\nAnswer: -992.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18366746 is divided by 531.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171 (base 12) to base 2.\nAnswer: 11100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126\/4 - 3\/(-2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -18. Suppose 253 + 755 = g*l. What is the highest common factor of 56 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d - 7. Let o = -5 + -2. Let u be f(o). Suppose 27 = 3*q - 3*r, -11*r = 5*q - 13*r - 39. Calculate the highest common divisor of u and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 138*i**2\/7 - 75*i\/7 + 12.\nAnswer: 3*(i - 7)*(i + 1)*(7*i - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -9374.\nAnswer: -5\/9374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 103 = 304. Let d be (-6)\/(-9) - y\/9. Suppose -6 = 2*j - 2*u, 3*j + 3*u - d = -2*u. Let v(l) = -4*l + 1. Determine v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 - 46*v**2 + 16*v - 2867. Determine u(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4*(-35)\/(-84))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150487, 300975, 451463, 601951, 752439?\nAnswer: 902927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**26)*c**(-3\/4)\/c)**(2\/21) assuming c is positive.\nAnswer: c**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*(-12)\/(-20). What is the nearest to -1 in 4, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30.96? (a) 0.1 (b) -0.5 (c) -3 (d) -0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32351 (base 6) in base 12?\nAnswer: 26b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218 a factor of 298954620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u + 211 - 1041 = 272 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 1 + 46 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-16 + 16 - -4) - 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -300, -544, -788, -1032, -1276, -1520?\n\"Answer: -244*s - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 39*b**3 - 5*b**3 + 34*b**3 to the form o*b**3 + s*b**2 + n*b + g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/8 + 86547*k**3\/4 + 416146824*k**2 + 2668333377792*k + 5335002341376.\nAnswer: 3*(k + 2)*(k + 19232)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (5 - 2) - 3. Suppose t*d - 4*p - 74 = 0, 2*d - 4*p - 60 = -2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 - 283. Suppose -1 = -3*f + m + 7, -d*f - 23 = 5*m. Are 2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -210, 0, 3 in descending order.\nAnswer: 3, 0, -71, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:27 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14162543 (base 7) to base 15.\nAnswer: -1b2eae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*j + 12. Is 78\/21 + j + 6906\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 612*j**2 - 46818*j.\nAnswer: -2*j*(j + 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/36*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(-3)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -611354 (base 7) in base 9?\nAnswer: -167312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1332594 and 43980?\nAnswer: 13325940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*i - 7*i + 68 = 0, -2*v - i + 28 = 0. Let j be (-7)\/(21\/v) + 7. Solve j*c - 11 = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126\/(-231) - (-84)\/33. Calculate the highest common factor of 44 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*j, -3*s + j - 64 + 159 = 0. What is the remainder when 79 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3 + 234*x**2 - 243*x - 474 = 0.\nAnswer: -79, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 9 - 51 = 0. Solve -9*i + 18*i**2 - q - 29*i**2 + 10*i**2 - 2 = 0 for i.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3476.095ml?\nAnswer: 3.476095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 25 = 0. What is the smallest common multiple of s and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:15 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + (4*sqrt(135) - sqrt(135))\/sqrt(9) - sqrt(15)) + sqrt(135)\/sqrt(9)*-2)\/((2*sqrt(600) + sqrt(24))\/((-1*sqrt(56))\/sqrt(7))).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 + (3 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -288 - -165. What is the common denominator of 5\/22 and (y\/(-24))\/((-10)\/(-24))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**3 - 396*x**2 - 3834*x - 2160.\nAnswer: -2*(x + 15)*(x + 24)*(5*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/29420 and 91\/29420.\nAnswer: 29420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 18, -4, -661?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1266*v**2 + 0 - 458*v**2 + 704*v**2 - 1.\nAnswer: 1512*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 31. Let u be x(0). Let z = -16 + u. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9\/2 (b) 1\/6 (c) -126 (d) -0.94 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 6*x + 2. Let b be o(-6). Let d = 1 + b. Suppose -3*f = d*a - 3, -f + 4*a + 7 = 3*a. Solve -c + 1 = f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -134. Suppose 2*u - 20 = -3*m, 3*m = -5*u - 0*m + 41. Let o = d - u. What is the highest common factor of 51 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 3 - -1*1. Let c be 3\/(z - 9\/6). Let f(n) = -4*n**3 - 11*n**2 + 11*n - 11. Let h(l) = 2*l**3 + 6*l**2 - 6*l + 6. What is c*f(k) - 11*h(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/7 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1698401 and 28.\nAnswer: 28.1698401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -12159 = -12062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 105, 161, 219, 279?\n\"Answer: w**2 + 51*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 11 + 0*o + 1\/12*o**2 - 1\/18*o**3. Find i such that j(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*(4*2*sqrt(112) + 0) - (4 + sqrt(112)*-1 + sqrt(112) + 2 + -3*sqrt(112))))**2.\nAnswer: -39168*sqrt(7) + 4661568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**4\/12 + 7*b**3\/6 + 2*b**2 + 19*b. Let w be d(7). Solve 0 = 3*r - c - 2, 3*c = -w*r - 0*c + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/94200607 or 0.1?\nAnswer: 2\/94200607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-90))\/((-84)\/140 + (-14)\/(-40)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1418885*f**3 + 5*f**2 - 1974923*f wrt f?\nAnswer: 8513310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5705557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-30) - (-24)\/10. Suppose 2*x - 11 = 3*g - 0*g, -4*x = u*g - 14. Which is smaller: g or -22\/15?\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 3. Let t be x(1). Suppose 2*v - l + 6 - 19 = t, -5*l + 23 = v. Suppose -3 + v = w. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**7\/42 + 51*q**6\/5 + 53*q**4\/2 - q**3\/6 + q**2 + 1690*q. Find the third derivative of j(k) wrt k.\nAnswer: -60*k**2 + 7344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/5635 and 30\/5113199.\nAnswer: 25565995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v - v)*(-3*v**2 + 4*v**2 - 3*v**2)*(-3*v**2 + 3*v**2 + 2*v**2).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.32979 centimeters in millimeters?\nAnswer: 273.2979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkckh. Give prob of sequence cck.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5 and -91\/3903470.\nAnswer: 3903470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/2*(-24)\/27 + -34. What is the hundreds digit of (-75)\/y*4\/(-5)*-458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 = -24. Suppose -y*k + 10*k = 0. Solve 2*r - 1 - 7 = k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**3\/3 - n**2\/2 + n - 12. Let h(m) = -7*m**2 - 8*m + 8. Let o(v) = 3*h(v) - 24*w(v). Let o(t) = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Let i be 70\/21*o\/4. Solve 0 = -c + 2*c + 3*q - 8, 0 = -i*c + 3*q - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:24 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n**2 - n - 1. Let r(t) = 0*t + 2*t + 0*t + 2 - 2*t**2 - 3*t**3. What is -2*l(a) - r(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u + 25233 - 25216 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -406 + 387. Sort 2\/3, 2\/7, 1, u in descending order.\nAnswer: 1, 2\/3, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008007622 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -39*m**4 - 81*m**3 + 87*m**2 + 27*m - 66. Let b(x) = -11*x**4 - 23*x**3 + 25*x**2 + 8*x - 19. Let d(w) = 18*b(w) - 5*q(w). Factor d(u).\nAnswer: -3*(u - 1)**2*(u + 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/12)*s)**(-2\/43)\/(s**16)**11 assuming s is positive.\nAnswer: s**(-45443\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 11. Let d = 3 + -3. Let j be y(d). Calculate the highest common divisor of j and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -10, 1, -5, 25 in ascending order.\nAnswer: -10, -6, -5, -4, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -13254*y**3 - y**2 - 45 + 26512*y**3 + 10*y - 13257*y**3 in the form k*y**2 + r + p*y**3 + j*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/(-10)*(-804)\/(-1139)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/8 and (-1)\/(0 - -3)*726\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 9 + 338)*(4*u**3 - 3*u**3 - 3*u**3) to the form s*u**3 + d + t*u**2 + o*u and give s.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -748 + 168. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1200, -937, -666, -381, -76?\n\"Answer: d**3 - 2*d**2 + 262*d - 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -9. Solve 0 = 6*u - p*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = 2*c. Let g be 2\/c*0\/(-3). Suppose -5*l = -10, l + g + 46 = 4*i. What is the greatest common factor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3872948 is divided by 2697?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - 3*d. Let x(t) = 9*t**2 - 7*t. Let p(a) = -7*c(a) + 3*x(a). Let w(q) = q**3 - 4*q**2 + 4*q + 1. Let i(g) = -p(g) - w(g). Determine i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1317668583 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56135975*z - 9907517?\nAnswer: 56135975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 23. Let g be 7 + (-2 - (-1 + c)). Suppose 2*v + 3*x = 87, g*v - 217 = -5*x + 8. Round v to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5208234 is divided by 169?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 62032*t + 4809961280.\nAnswer: (t + 155080)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, 1391, -0.321?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.17863 nanograms to milligrams.\nAnswer: 0.00000417863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*5*(-1 + sqrt(1053) + 4))**2*1.\nAnswer: -849600 - 43200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(153) - sqrt(153))\/(3*sqrt(144) + sqrt(9)) + -3)*-4 + -2.\nAnswer: 20*sqrt(17)\/13 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.5 + 36. What is the closest to 0.2 in 1\/3, -1\/6, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.7289 to the nearest integer.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 14. Suppose 0*p + g*p = -2. Suppose -6*l = c - 9*l - 3, 5*l + 45 = -5*c. Sort p, c, -4 in ascending order.\nAnswer: c, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*149 + 0\/(4 - 1). Let o = -196 + k. Is o a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 - 4*a - 3. Suppose q - 16 = 3*n, -q + 0*q + 12 = -2*n. Let g = -5 - n. Let j be 5 + (-2)\/(-2) + g. Determine v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2877143 to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -7*r - 21. Let o(v) = 2*v**3 + 15*v**2 - 9*v - 12. Let m be o(r). Sort -5, m, 7 in ascending order.\nAnswer: -5, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -61, -2, -6 in decreasing order.\nAnswer: -1, -2, -6, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uexssyssssss. Give prob of sequence ys.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -976.64 to the nearest ten.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Let p(l) = l + z*l - l. Let u(m) = 2*m**2. Give p(u(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10 = -9*t. Suppose -g + m - 2*m = -5, -2*g = -t*m - 18. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggp when four letters picked without replacement from ugupggpuuugu?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*l + 31, 3 = 2*l + l. Calculate the greatest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**2 - 15*r**2 - 8*r**2 - 7*r**2 as p*r**2 + k*r + j and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200220122 + 10?\nAnswer: 1200220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -6*i. Let x(h) = -h**3 + 2*h - 13. What is x(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/8703 and -74\/15.\nAnswer: 43515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14401 + -11342?\nAnswer: -31243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353161 to the power of 1\/2, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 256.3 from -0.30828.\nAnswer: -256.60828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:23 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 440\/3 + -145. Let r = 16 - 12. Suppose -4*s = 3*y + 52, -2*s - r = -2*y - 2*y. Sort 3, w, s.\nAnswer: s, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 32*r + 205 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.039 and 208970?\nAnswer: 208976.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35716532?\nAnswer: 2, 79, 113027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(91)\/sqrt(7)*6 + sqrt(13)))**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 11*x + 8. Let p be w(7). Suppose 3*m + m = -4*f - 132, 4*f = -m - 138. Let o = p - f. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-170)\/165*-11)*12.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/9 - (-65)\/3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -930 + 3366 = 12*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 + 19*f - 50*f + 30*f)*(-2*f - 663*f**2 + 4*f + 678*f**2) in the form x + y*f + g*f**3 + z*f**2 and give z.\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = f + 2*y + 3, f + 4*y = 22. Solve p = -f*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14911 - -7037. Let l = -4524 - y. Suppose -3*i - 2*i = l. What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3258 - 433. What are the prime factors of l?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -25. Let p(y) be the third derivative of -y**6\/120 + y**5\/6 + y**4\/12 - 4*y**3\/3 + 3*y**2. Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-12)\/(-16))*(-1 - -5). Suppose -j*c + 15*c - 270 = 0. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36364222 to the nearest integer?\nAnswer: 6030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t**3 - 2*t**2 + 2*t. Let l(r) = -r**2 + 21*r - 101. Let a be l(7). Let q(w) = -15*w**3 - 3*w**2 + 3*w. Give a*d(z) + 2*q(z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219599.\nAnswer: 3, 135511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1320 and 1870.\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 3. Let y be (-14)\/c - (-10)\/45. Let n = -35.3 - -35. What is the nearest to 0 in y, 1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 118972.8 to the nearest 100.\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(13)*-2 + sqrt(13) + ((sqrt(156) - (sqrt(156)*-1 - sqrt(156) - sqrt(156))) + sqrt(156))\/sqrt(12))**2*-1.\nAnswer: 40*sqrt(13) + 1045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -387128, 1\/6, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + -0.19. What is the nearest to -0.2 in 1, y, -11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*d = 76, -64*a - 3*d - 142 = -69*a. Solve a = -3*s - 3*z + 8, -9 = 3*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1473055, 1473093, 1473131?\nAnswer: 1473169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*s + s + 2*w, -w - 9 = 2*s. Suppose -3*r - 31 = 2*z, 10*r = 5*r + 5*z - 10. Let o be 2 + (-1 - (r - s)). Let b(a) = -2*a**2 + 8*a - 3. Give b(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/2464 and -31\/12800032.\nAnswer: 140800352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2578 is divided by 907.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 222 + 2*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {j: 6, o: 4, w: 9}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6978*k - 173870. Calculate j(-25).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + 4)\/2 - (53\/(-12) - -14)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + (8 - 24) + 15. Let j(q) = -4*q**2 + 34*q - 4. Let m be j(i). Let k be (2 - 1 - 0)*16. What is the greatest common divisor of m and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 1)*(7 + 15*t**2 - 7) in the form r*t**2 + u*t + g and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299*j**3*k**3 + j**3*k**2 + 18*j**3 wrt k?\nAnswer: 1794*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.15, 4, -3, -2794, 3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-472)\/(-1416))\/((-1)\/(-1))*-96.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2009 - -0.200901109. Round o to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2498276.5 and 17396.\nAnswer: 2515672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 - 2*q - 2 + 2*q - q = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -12*c + 10*c + 574, 0 = 5*c - 2*l - 1438. Calculate the remainder when c is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 1}. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*p + 63. Is 34 - (p\/4 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, a: 5, q: 6, u: 4}. Give prob of picking 2 q and 1 g.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 12.138. Let i = l + -1.128. Let c = i - -1.62. Round c to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16))\/((-4)\/(16\/10)) + 27813\/(-150015).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1210) - 6*(sqrt(40) - sqrt(10)))\/((sqrt(420)\/(sqrt(28)\/sqrt(4)))\/(sqrt(84)\/(1*sqrt(7)))).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (362\/(-8))\/(2\/(-12 - -4))?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 5*t + 2*t + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 10 + -2 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 0)*-3)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -178. Suppose -14 + g = 4*w. Let q = 62 + w. List the prime factors of q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100342 + 12?\nAnswer: 100354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14254*a**3 - 6009?\nAnswer: 42762*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.956505 to 3 decimal places.\nAnswer: -5.957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6 + 8*u**2 - 9*u - 2*u**3 - 4*u + 4*u. Let f be n(7). Calculate the smallest common multiple of (-46)\/f + (-4)\/(-16) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/2 + 7*m**2\/2 + 2. What is the second derivative of q(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2747*d + 2744*d = 4*w - 26, 4*w = d + 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(242)*-1)**2 - (sqrt(242)*-2*4 + sqrt(242))**2.\nAnswer: -11600 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0861053 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10526752 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 14268722.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/(-18) - (-5357)\/1461.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473315 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 11) + (-20 + -5 - -15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 2:02 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 2*s**2 + 8*s**2 + (0 + 0 + s)*(0 - s + 0).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 682 - 682. Sort f, -2, -12 in decreasing order.\nAnswer: f, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 18. Let i(z) = -9*z + n - 6 - z**2 - 1. Calculate the remainder when 36 is divided by i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -21. Suppose -w - t*w = -177. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + 14\/4. Suppose -4*s + o*s = -8. Calculate the remainder when 61 is divided by (-3)\/12 - (-170)\/s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-3) - (-2)\/((-2)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72377, -72375, -72379, -72395, -72429, -72487, -72575?\n\"Answer: -l**3 + 3*l**2 - 72379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from ttsthtjtjtshhhtstt.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16.94 (b) 0.2 (c) 4 (d) 17 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 30 + 0 = 0. Suppose 0 = 4*a - 3*a - q. Calculate the remainder when 18 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i. Let h(u) be the third derivative of u**4\/12 - 49*u**3\/6 + 3137*u**2. What is h(o(y))?\nAnswer: 18*y - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (13 - (2 - 2))) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 2*b**7\/105 - 10*b**3\/3 - 12*b**2. What is the first derivative of f(i) wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55162562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31772 divided by 169\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736 divided by -2.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431151 - 0?\nAnswer: 431151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 12624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2675*n**5 - 2*n**4 - 40*n + 2641*n**5 - 4*n**2 + 5*n**2 wrt n?\nAnswer: -2040*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**2 - 30*x**2 - x**3 - 2*x**3 + 0*x**3.\nAnswer: -3*x**3 - 52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 2*k + 7, 3*g - 11 = k. Solve -g*n = -5 + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.003 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.98. Let c = 146 - 141. What is the nearest to o in 3\/8, 1, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -bcd8?\nAnswer: bcda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214030 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/39796755 and -61\/3?\nAnswer: 39796755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 170, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 21*l + 0*l)*(3*l - 3*l + 2*l) to m*l**2 + v*l + h and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*(-11 + 2 - (-546)\/63).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12993, 13042, 13089, 13134, 13177, 13218?\n\"Answer: -l**2 + 52*l + 12942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 29. Suppose -8*a + i*a = -10. Suppose 0 = 2*r + 5*g - 31, -5*g = 4*r + r - 40. Sort -1, r, a in decreasing order.\nAnswer: r, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 86, 253, 488?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.019991 + -2421552.980009. Let g = s - -2421572.00013. Let m = 13 - g. What is m rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*3\/(-9) - 3. Let q(p) = p**2 + 4*p. Let g be q(z). Let o be (g\/(-9))\/(1\/15). Solve -o = -a - 3*m, 2*m = 4*a - m + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7478042 days?\nAnswer: 64610.28288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*r**4*y + 9*r**4 + 23*r**2 - 2*y - 22 wrt r?\nAnswer: 3048*r*y + 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 10. Let n be h(-4). Suppose -5*j - 4*x + 15 = -n, 3*j - 2*x + 3 = 0. Is (-332)\/j*5\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 9*c - 1. Is p(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.091385296383 and -13.\nAnswer: -12.908614703617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116160 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(312)*-1)\/sqrt(12))\/(6*(sqrt(2) + (2*sqrt(2) - sqrt(2)))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -3 + -8 - 3. Let j be (-3)\/(-3) + 16\/h. Let n be 36\/272 + (-2)\/(-17). Is j at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 12. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 361, -66, -1, 11 in increasing order.\nAnswer: -66, -1, 11, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(1\/(-3))\/(104\/156)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/(-99)*((-36)\/80)\/((-21)\/(-7)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/180)\/(119\/25704).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20371932 to 3 decimal places.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((3 - 2) + -3). Let d(s) = -s + 24. Let y be d(t). What is the remainder when 45 is divided by 1*1\/(2\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -6*p + 3*p. Suppose 0*u + 5*x + 16 = -u, p = -3*u - 5*x - 8. Let c = -0.16 + 5.16. What is the nearest to 1\/4 in c, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 5 (c) 0.01 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 2, w: 2, k: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 14. Calculate the lowest common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.5. Let v = f - 0.3. What is the closest to -1\/3 in v, -1, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.7 + 8. Let v = 1 - p. Let b = 0.69994 - v. What is b rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*m - 28 + 34 - 6 in the form y + l*m and give l.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4 - 6*m**2 - 9 + 0 + 4 + 2*m. Let g be n(1). Sort -4, 2, g in descending order.\nAnswer: 2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/2 + 66\/(-4) + 54\/(594\/187)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 + 18*d**4 + 52*d**3 + 36*d**2 - 54*d - 54 = 0. What is d?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3111 and 127\/366?\nAnswer: 6222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 4\/5 (b) -3 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12371 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 divided by 15?\nAnswer: -201\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9837\/8 - -1221. What is the common denominator of 1\/(-2)*364\/63 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3926490042 to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.13. Let s = 0.1 - 0.6. Which is the second smallest value? (a) s (b) 1\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4077 is divided by 1016?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 353834*v**2*x**4 + 12266172*v**2*x + 2*v**2 - x wrt x?\nAnswer: 4246008*v**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3686933.\nAnswer: 631, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 14}. What is prob of sequence oo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcl when three letters picked without replacement from {w: 1, c: 1, l: 2, g: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + 11. Let d = -7 + 15. Let x = h - d. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 1. Let r(l) = -l**2 + 8*l - 11. Let o be r(6). Let p be 5\/(4 + -9) - o*-3. Let f(j) = 3*j**3 + j**2 + 3. Calculate p*f(g) + 5*s(g).\nAnswer: g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -269, -272, -275?\n\"Answer: -3*i - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*c - 91*c - 166*c.\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l + 63. Let w be x(5). Let h = w - -160. What is the greatest common divisor of 70 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + s**2 + 5*s - 2. Let f be b(3). Let l(t) = t - 5. Let g(j) be the first derivative of j**2\/2 - 6*j - 1702. Determine f*g(i) + 6*l(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2. Let d(a) be the third derivative of -419*a**4\/12 + 57*a**2 + 8*a. Calculate q(d(z)).\nAnswer: 4213464*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0202 - 0.0202. Which is the nearest to -0.2? (a) 20 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 1. Let x be 5\/(-11)*-1*(-20)\/350. What is the third biggest value in z, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3647, 2, 1.\nAnswer: -2, 1, 2, 3647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 1, k: 5, g: 1, i: 1, o: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13653.\nAnswer: 3, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -126. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90273 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 0\/3 + (0 - (-90)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/3))**(-2))**(-1\/20) assuming u is positive.\nAnswer: u**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 572. Let p be l(23). Sort p, -3, 3, 4, 2.\nAnswer: p, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 + 49*f + 3*f**2 - 3*f**2 - 21*f + 9. What is the units digit of o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 7*l**2 + 2*l - 9. Let v be n(7). Let a(f) = -3*f**2 - 79*f + 57. Let b be a(-27). Let x = 7 - 4. Solve x = h - b*r, -v*r = -r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 - 21034*c\/11 - 337056\/11.\nAnswer: 2*(c - 10533)*(c + 16)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Let g be (629\/(-238))\/(-37)*-14*2. Put -1, g, a in decreasing order.\nAnswer: a, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -7)\/((-70)\/3465*143)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42335167309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 2723.95386161?\nAnswer: 2738.95386161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 723238 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -103350 (base 7) in base 16?\nAnswer: -4662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102219036 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 + 38*q**3 - 56*q**3 + 17 + 9*q**3 + 0*q**3.\nAnswer: q**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40, -130, -382, -716, -1132, -1630, -2210?\n\"Answer: -41*j**2 - 47*j + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23701, -47908, -72115?\n\"Answer: -24207*u + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.02 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1928\/7 + 276. Suppose 15*s + 60*s - 966 = -86*s. Put o, s, 4, 3 in descending order.\nAnswer: s, 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 + u**2)*(-2 - 1 + 1 + (2 - 1 + 5)*(-4 + 0 + 2) - 2 - 1 + 2).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 1239?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8)*-2 + 116200001. What is i rounded to the nearest 1000000?\nAnswer: 116000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**11*k)\/k*(k*k*k*k**(1\/30))\/k*k**(-35)*k\/(k**(4\/9)*k*k))**(-6\/23) assuming k is positive.\nAnswer: k**(3907\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 31370\/4871?\nAnswer: 31370\/4871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-14)\/21)\/((-4)\/1566))\/1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1166 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*o - 31, 0*w + 10 = -w - 3*o. Let n be 23 - (16\/4 + w). Suppose 2*u - n - 194 = -2*h, -h = -3*u + 314. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -263\/7 + 38. Let z = 2.33 - 3.43. What is the closest to 1 in 1\/3, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w - 5. Let x be w\/((-148)\/(-50) - 3). Suppose 6*b + x - 295 = 0. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1701 + -1698. Let z = 22\/19 + -412\/323. What is the closest to -1 in q, 7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 12834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3)\/(52\/4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52\/4*-1*-23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -c - 54081. Let z = 29873\/5 - c. Let x = z + 341\/10. Find the common denominator of -13\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8547 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6e1 (base 15) to base 9\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 21*h - 12. Give b(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 10. Let m be l(10). Suppose z = -2*b - 8, -2*z + 3*b + 18 - 6 = m. Suppose 5*o + 15 = -z*o. Which is smaller: o or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 956195 - 569866. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 10:22 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.034\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 882011257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.8. Let f = -0.33 + 0.23. Which is the biggest value? (a) f (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8*v - 6*v - 42 = 0, 5*k - 203 = -3*v. Calculate the highest common divisor of 200 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3.5545779 minutes?\nAnswer: 0.002468456875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19508*q**3 + 2*q**2 - 631*q - 34 wrt q.\nAnswer: -117048*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575*l + 1476 = 560*l - 1094*l. Let a(s) = 32*s**2 - s. Let y be a(1). Let g = 72 + y. What is the remainder when g is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 507*w\/4 - 6255\/2.\nAnswer: -3*(w + 30)*(w + 139)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -357294 or -357282?\nAnswer: -357282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12))\/((-4)\/64 - (-60)\/448)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*j**2 - 2 - 496*j**2 + 451*j**2 - 374*j**2 - j - 2 in the form z*j**2 + m*j + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 6*n + 6*n)*(4*n**3 - 5*n**3 + 3*n**3) - 77*n + 66*n**5 + 77*n + (n**3 + 0*n**3 + 0*n**3)*(n**2 + 0*n**2 + 2*n**2).\nAnswer: 75*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - q**5 - 8*q**5 + q**5 - 3*q**5 + (2*q**4 + q**4 - 4*q**4)*(2*q + q - q) + q**5 - 2*q + 2*q - 507*q**4 + 65*q**5 + 507*q**4.\nAnswer: 53*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:49 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (88 - 76) + -13 + -40\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76134 divided by 5916?\nAnswer: -12689\/986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25439 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/(108\/5220*29).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 + 22*a - 10. Let z be k(6). Let q = 4 - z. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {d: 1, j: 4, s: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 21. Suppose -6 - 3 = 5*d - 2*f, 0 = -5*f + 10. Which is the closest to g? (a) d (b) 0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -5 (b) -1 (c) 0.6 (d) 0 (e) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3389\/57 - 99\/19. Let d = 50 + m. Find the common denominator of 57\/7 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 31, -1\/5 in descending order.\nAnswer: 31, 2, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o**4 + 3*o**3 + 2461263*o**2 - 27827222.\nAnswer: 12*o**3 + 9*o**2 + 4922526*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 + -1. Let x = -2 + u. Let t be (275\/70 - 4)*4. Which is the third biggest value? (a) -5 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5 + 16. Suppose 120 = 2*g + 2*g. Let d = g - j. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0169 * 227082\nAnswer: 3837.6858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -307, -1090, -2655, -5272, -9211, -14742, -22135?\nAnswer: -31660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.0896 times 5\nAnswer: -5.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-5)*(c*c**(-3))\/c*(((c**(-1\/4)*c)\/c)\/c*c)**26 assuming c is positive.\nAnswer: c**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 1 + 5. Let o(u) = 0 + p + u + 0. What are the prime factors of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-226)\/(-10) + (-2)\/(-5). Suppose -8 + a = l. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3092*k**5 - k**4*y - 790*k*y - y wrt k?\nAnswer: 61840*k**3 - 12*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -17*t**8\/336 + 2*t**5\/15 + 6*t**2 - 3. Let q(z) be the second derivative of u(z). Find the third derivative of q(x) wrt x.\nAnswer: -1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 4*x**2 - x**2 + (-4*x + x + x)*(x - 2 + 2) + 20*x**2 + 3*x**2 - 6*x**2 - 5*x**2 + 3*x**2 + 3*x**2 + (3 + x - 3)*(-x + 3*x + 2*x).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.89 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 1, a: 1}. Give prob of sequence jza.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, m: 1}. Give prob of picking 1 m and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6 + 0)\/(3\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 563 or -26?\nAnswer: 563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -302 or -306?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**(1\/2)*s*s)*s\/(s*(s**(3\/5)\/s)\/s*s)*s**(-7)*s*s*s**(1\/5) assuming s is positive.\nAnswer: s**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 6*q - 10. Determine l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1182*a + 1184*a + 1186*a - 4735*a + 1182*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**2 + 4*w**2 + 0*w**2)*(0*w + w - 3*w) - 4*w**3 + 0*w**3 - 3*w**3 - 11*w**3 - 2*w**3 - 24*w**3 in the form s*w + c*w**3 + u*w**2 + q and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727907387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a + 6*a - a)*(-94*a - 95*a + a) - a**2 + 4*a**2 - 2*a**2)*(-14*a + 27*a + 2 - 10*a).\nAnswer: -1125*a**3 - 750*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -134*c + 1. Let q be t(-1). Let o(g) = -g**3 + 3*g**2 - g. Let v be o(2). Suppose -v*r = 3*r - 75. Calculate the greatest common divisor of q and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 722 and 838280?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.501 plus -9.2?\nAnswer: -9.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/4)\/m*m**(2\/19)*m*m*m\/((m*(m*m\/(m\/(m*m*m**(1\/9)*m*m)))\/m*m)\/m)*m*m*m**5 assuming m is positive.\nAnswer: m**(2219\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10081 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000459897 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9 - (-1)\/6. Which is the biggest value? (a) s (b) -2\/7 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b1db (base 16) in base 15?\nAnswer: -21e7d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 44*h**2 + 44*h**2 - 2*h**3)*(h + 2*h - h) + 3 - 3 - h**4.\nAnswer: -5*h**4 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 37221?\nAnswer: 37224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 13.4?\nAnswer: 107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232557 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*t + 26*t + 5880. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + 83*b**2 - 57*b + 82. Let w be z(27). Put w, 0, -2, 293 in descending order.\nAnswer: 293, w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d - 226. Let j be h(21). Let a(b) = -11*b**3 + 6*b**2 - 2*b - 4. Let x(q) = -10*q**3 + 5*q**2 - 2*q - 3. Calculate j*a(y) - 6*x(y).\nAnswer: 5*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391.056 + -391. Let k = -54823.9440344 - -54824. Let s = q - k. Round s to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7707 (base 9) in base 15?\nAnswer: -1a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t**2 - 3794*t - 75702. What is s(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 8*j + 7. Let x be 0 - (-1 + 5)\/4. Let v be -5 + (x - 12\/(-3)). Let g(p) = -2*p**2 + 9*p - 8. Let n(t) = v*g(t) - 3*b(t). What is n(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13411*s**5 - 26817*s**4 - 13401*s**3 + 5*s**2.\nAnswer: -s**2*(s + 1)**2*(13411*s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/33)\/u)\/(u*u**(-1)))\/(u**(1\/3))**(4\/9) assuming u is positive.\nAnswer: u**(-359\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -76?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*a + 2*a + 14, -3*a - 21 = -3*b. Let z be 544\/(-102)*6\/a. Solve -m - z = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-5)\/(-20)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1334)\/69)\/(0 + (-1)\/93). Let s = -1052 + f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*v - 18 = -a - 3*a, 83*a + 40*v - 413 = 39*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279611 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15904\/17 - 936. Put -0.13, a, -1 in descending order.\nAnswer: -0.13, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*o - 39 - 270 = 65 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**2*q**4 - n**2*q + 39*n*q**4 + 88*n*q wrt q.\nAnswer: 36*n**2*q**2 + 468*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:53 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-483 + 233 + 235)*(-2*w**2 - w**2 + 2*w**2) + (-2*w + 4*w - 4*w)*(5*w + 0*w - 3*w) in the form v*w + b + z*w**2 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - n - 3*n = -90, -3*q = 5*n + 54. Let r(h) = 11*h**2 - 12*h + 1. Let i(f) = 39*f**2 - 42*f + 3. Let d(c) = q*r(c) + 5*i(c). Factor d(z).\nAnswer: -3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/5 + 141*j**4\/5 + 4446*j**3\/5 - 37444*j**2\/5 + 32856*j\/5 = 0 for j.\nAnswer: -74, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -180, -472, -860, -1338, -1900?\nAnswer: -2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 85d (base 15) to base 5\nAnswer: 30023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 13*x**2 - 20*x. Let t be p(10). Suppose u - 3*u + 20 = 0. Calculate the highest common factor of t and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-44))\/((-125)\/(-50))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*d - 679 = 0, -697 = -5*g + 4*d - 0*d. Let r be (-816)\/11 - (18\/33)\/(-3). Let y = r + g. What is the greatest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*q + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by 20108.\nAnswer: 45\/5027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/10 - 0)*2. Suppose 0 = -13*i - 14 + 14. Sort k, 3\/7, i.\nAnswer: k, i, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*v - 16 - 28 + 5, -34*v - 52 = -4*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1255 - 720. Calculate the remainder when m is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 713*j**3 - 3*j**2 - 5884 wrt j.\nAnswer: 2139*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -24114.\nAnswer: 5\/8038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1220*c**2\/3 + 79288*c\/3 - 260.\nAnswer: 4*(c + 65)*(305*c - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 3.04. Let l = 28.627 + -27.627. Which is the fourth biggest value? (a) 0.5 (b) s (c) -2\/17 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4038, 4017, 3958, 3843, 3654, 3373, 2982, 2463?\n\"Answer: -3*j**3 - j**2 + 3*j + 4039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 + 71*o**2 - 41*o + 97. Let c(u) = -2*u**3 + u**2 - 2*u - 1. Let d(f) = -2*c(f) + x(f). Determine d(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 4*m - 5*x, -5*x - 32 = -m + 4. What is the smallest common multiple of 88 and m?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - p + 174, -3*p = -2*o - 34 - 33. Let i be 1*-3*(-5)\/o*1. What is the second smallest value in -3, -3\/5, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004404682 rounded to 5 dps?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/11783 - 294627\/612716. Let z = j + -2891\/260. Calculate the common denominator of 4\/6 + (-220)\/12 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/12 and -53\/1410?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 190\/45 + -2*3\/27. Suppose -2*p + 10 = -r*o, -3 = -3*p + 2*p. Let s be (3\/(-5))\/(o\/165). What is the greatest common divisor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 9873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -97*y**3 + y**2 - 7*y + 5. Let r be k(2). Let x = 1120 + r. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (406\/276 - 0). Let v = 2\/69 - g. What is the third biggest value in -3, v, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2858 - 1775. Suppose 0 = -o - 5*a + 1107, 6*o + a + r = 7*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d - 17. Let o(i) = -8*i. Calculate o(b(p)).\nAnswer: 40*p + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**29*a\/(a\/(a**(-13)*a))*a**(-2\/11) assuming a is positive.\nAnswer: a**(-1040\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) 3\/5 (c) -0.3 (d) -0.84 (e) -4 (f) -23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/18 + (-6)\/27. Let p(l) = l**3 - l**2 - l - 10. Let s be p(w). Solve -a = -s*y + 4, y = -3*y + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2675 times -0.5\nAnswer: -1337.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 13*o - 9. What is x(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7256 = 88*q + 573 - 437 for q.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -947\/7. Suppose 5 + 10 = 5*u. What is the nearest to r in u, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 53 - 54. Let q(t) = -t + 1. Let x(h) = 7 - 2*h - 5*h - 5 + 10. Let o(b) = c*x(b) + 3*q(b). Find the first derivative of o(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -256 + 287. Suppose 54 = -b*q + 37*q. Suppose -2*h + 13 = -39. Calculate the remainder when h is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a + 2. Let u(j) be the first derivative of -j**3 + 3*j + 2*j**3 + a - 6*j**2 + 6*j**2. What is the first derivative of u(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2232 and 1044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5. Suppose -1 + 3 = -h + 2*r, -5*r = 5*h - 5. Let w(c) = -c**2 + c. Let g be w(h). Give v(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194434?\nAnswer: 2, 67, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-5)*5\/(-2). Which is the closest to 0.4? (a) 4\/5 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -0.2. Let x = -0.01 + -0.02. Let s = 0.07 - x. Is s <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:12 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5817 divided by -5?\nAnswer: 5817\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.416815 milliseconds in days?\nAnswer: 0.0000004446390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2. Let x(g) = -g - 9. Let i be x(-12). Suppose z + 4*v - 3*v - 2 = 0, i*v - 7 = -2*z. Let j be (1 + z)\/((-12)\/(-4)). Calculate b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 9*h**5\/5 - 7*h + 2. Differentiate g(l) with respect to l.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -430? (a) -2.6 (b) -3 (c) 4 (d) -0.06 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5 + 3*h - 5. Let v(k) be the first derivative of k**3\/6 - 4*k - 5. Let u(g) be the first derivative of v(g). Calculate p(u(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1461.538 millilitres to litres.\nAnswer: 1.461538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5314 * 5218.6.\nAnswer: -27731640.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-1 - 4\/(-2)). Suppose 4*n + 197 = 5*o, -j*o - 5*n = -6*o + 154. Let v = o + 19. What is the greatest common factor of v and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 2 (c) -253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 28*y - 231. Let t(i) = 3*i - 26. Give 4*c(k) - 35*t(k).\nAnswer: 7*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2162294027 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 46*t - 60*t = -3597 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(6\/2))\/((-26)\/(-26)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/28 - 26\/7. Let j be m\/18 + 20\/9. Let n be 0\/(1 - (5 + -2)). Put n, 3, j in decreasing order.\nAnswer: 3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -32.8. Let q = v - -0.274. Let a = -0.0740264 + q. What is a rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*v + 4*v - 4, 4*s - 18 = -5*v. Suppose -3*i - v*l = -85, 5*i - 3*i + 5*l = 75. Suppose -6*z = -z + i. Do z and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 234 - 6*z**3 + 48*z**3 - 40*z**3.\nAnswer: -4*z**3 - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18447277 and -8?\nAnswer: 147578216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-12))\/(30\/(-16)). What is the closest to i in -3, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 610*g. Let c be i(3). Suppose 0*h = 6*h - c. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 4. Let y(r) = 5. Suppose 0 = j + 3*j - 16. Let a(p) = j*y(p) - 5*f(p). Let m(z) = -2*z**2. What is a(m(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.3 or 405025?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 - 3. Let q be 3 + -4 - 17\/(-15). Which is the third smallest value? (a) 0 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-11\/2)*h**(-26)*(h**(-14)\/h)**(-18))**(-9\/2) assuming h is positive.\nAnswer: h**(-4509\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132 in 0.6, -0.5, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*f - 2605 = -3694 + 11585 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83709 - 55602. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/294031 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = -3*w + 17*w. Let z = -44 + 46. What is the smallest value in w, -0.04, z?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -172560455*o. Let n(v) = -v. Calculate f(n(b)).\nAnswer: 172560455*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 384, 198, -108, -534, -1080?\n\"Answer: -60*y**2 - 6*y + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 51288*o**2 + 986319520*o - 11838296192\/3.\nAnswer: 2*(o - 4)*(o + 38468)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20296 - 20296.77116. Let k = -0.77 - p. Let c = k + 0. Round c to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4198 or -4017?\nAnswer: -4017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 4*i + 3. Let x be d(4). Let v = -30831 + 30843. Solve 2*p - v = 5*p, 4*r + 4 = -x*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 - 37 + 37 + (2*t - t - 3*t)*(1 - t**3 - 1) + t + 2*t**4 - t + (12*t**3 - 2*t**3 - t**3)*(10*t + 16*t - 22*t).\nAnswer: 44*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261081 is divided by 839?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:09 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77507*l**2 + 79*l + 30456604 wrt l?\nAnswer: 155014*l + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -388850, -388829, -388794, -388745, -388682?\n\"Answer: 7*m**2 - 388857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -11 + 41. Suppose -5*h = 4*a + 5, 68 - 48 = 4*a. Sort c, 1, h in increasing order.\nAnswer: c, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d - 8. Let g be 1 - 3 - (-16 - d). Is 10 a factor of 8*5*g\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -176125 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:19 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*l = 154*l - 6964. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 256464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245266 divided by 1?\nAnswer: 3245266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + -6. Let f = 0.7 - z. Round f to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1181, -2297, -3411, -4523?\nAnswer: -5633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.16999778 to 4 dps.\nAnswer: 11.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6*1\/(-2))\/1. Let t = -7 - -6. What is the units digit of (-18 - (-4 - k))\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108*(-1 + (-2)\/(-3)*14\/4). Sort -2, s, 2, 3 in decreasing order.\nAnswer: s, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 60411?\nAnswer: -60425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*b - 65 - 140 = 416 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.199 + -2.321. Round n to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 1277*z - 5 - 9 - 1273*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16184164, -16184163, -16184162, -16184161, -16184160?\n\"Answer: r - 16184165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76239 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: Suppose 0 = -4*q + 3*k + k + 3404, -q - 5*k + 863 = 0. Let r = q + 1300. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**2 + 2*x + 3. Let w be d(-2). Let y = w + 46. Calculate the remainder when y is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 6*i - 15*i)*(0 + 0 + i) + 0*i**2 - i**2 + 2*i**2)*(-i**2 + i**2 + 2*i**2).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161455 is divided by 784.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 84445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) -33 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35889847 and 5?\nAnswer: 179449235","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16711*t + 16708*t + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - b + 115, 0 = -4*b + 5*b - 5. Let h be (2\/(-12) - -1) + w\/60. Determine g, given that h - 21\/5*g - 27\/5*g**2 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13025, -27042, -41059?\n\"Answer: -14017*o + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 + 684 = 43*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*c + 5040 = 234*c + 204*c. What is the greatest common factor of c and 4857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 + 0*s**2 - 24 + 24 - 4*s**2. Let o(p) = 475*p + 2. Calculate o(f(r)).\nAnswer: 950*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.142 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234303 - -3?\nAnswer: -234300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 9:36 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 42*a - 242. Calculate j(-3).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**3\/g))**21)**(3\/28) assuming g is positive.\nAnswer: g**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -462574914795 and -0.2.\nAnswer: -462574914795.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*n - d, -7 - 1 = 2*d. Let f(v) = v. Let z(o) = o**2 - 2*o + 5. Let p(m) = n*z(m) - 2*f(m). Find the first derivative of p(q) wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 3936 = -15153. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080 (base 14) in base 10?\nAnswer: -2856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, l: 1}. What is prob of sequence xxlx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 77?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 7*m + 3. Let s(p) = -2*p**2 - 5*p - 2. Let z = 18 - 25. Let q(a) = z*s(a) - 5*j(a). Let u = -56 - -54. Give q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 - 1 = 0. Calculate the least common multiple of 27\/(-6)*(-4)\/j and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17183 is divided by 465?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8933*f = 8902*f + 93 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 514012873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.7 + 5.3. Let r = -1 - -10. Let k = r - v. Which is the third biggest value? (a) -1\/6 (b) k (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2752 and 168044688?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 11 - 10 = -5*p, -3*p + 23 = 4*t. Suppose -d - 48 = -2*f + 3, p*f - 4*d = 120. Suppose 3*a + f = 4*a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wppwwaaawaap. Give prob of sequence awaa.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 8363908*n**3.\nAnswer: 2*n**3*(n - 4181954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 + 9*w + 6. Suppose h - 5*h + 12 = 0. Let r(n) = n**2 + n + 1. Let k(a) = h*r(a) - t(a). Factor k(g).\nAnswer: -3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5064351.3 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -8. Let g(q) = q**2 + 5*q + 5. Let f be g(-4). Let d be m + f - -2 - -4. Solve d*y - 7 = 4*o, -y + 2*o = -3*o - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55761 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.186?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 20. Solve 2*g = -3*f + 3, 3*f + 0*g - 2*g - d = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -218767*z**3 - 209568*z**2?\nAnswer: -1312602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5702 at least as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 8. Let d be x(-5). Suppose -d*v = -v + 3*v. Let t(y) = y**3 + y**2 + 1. Determine t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 84*a**3 - 31*a**2 + 64*a + 1. Calculate g(2).\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/54 + 31*q**3\/27 - 58*q**2\/9 + 3930*q. Find g such that f(g) = 0.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*x, 1 + 7 = 3*f + x. Let y be (-182210)\/(-411) + 8\/(-6). Suppose f*g - 304 + 34 = -3*p, 0 = 5*p + 3*g - y. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -55, -0.1, -34?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 + 4*w**2 + 6. Let m(q) = -7*q**3 - 7*q**2 - 6. Let x(h) = -7*h**3 - 7*h**2 - 7. Let j(d) = -4*m(d) + 5*x(d). Calculate -6*j(s) - 11*r(s).\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 69. Does 8 divide (-2)\/(-3)*(-5 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 3267?\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -103\/21 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrcccrrcrcrcrrcr. What is prob of picking 1 r and 3 c?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 29. Suppose -4*h = 4*r - 140, -5*h + 577*r = 574*r - 183. Calculate the remainder when h is divided by p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -2*p + 3*s, 2*s + 22 = -4*p. Let w(q) = -2*q**2 - 5*q - 3. Determine w(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1643 = -156*l - 239 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, v: 10, k: 1, h: 1, t: 3}. What is prob of sequence nkh?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/8)\/(-5)*(-12)\/(-2). Let m be -404*c\/(-6) + 3\/1. Let p = m - -616. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78592418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyttttpttt. Give prob of sequence ttty.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/135 and -83\/6030.\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/120646405 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c + 1140412 = 32*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1063374*c**2*k + 72*c**2 - 6*c - 39 wrt k?\nAnswer: -1063374*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 66*d + 16. Let s(i) = 44*i + 82. Let f(j) = 66*j + 119. Let c(w) = 9*f(w) - 13*s(w). Calculate 16*c(p) - 5*k(p).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 19*n + 8*n**2 + 0*n**2 + 11*n**2 + 26. Let q be o(20). Let u be q\/5 - 2\/10. Let t(x) = x**3 - x**2 - 2*x + 1. Give t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - -3) + -1)*1. Let x be -7*1\/((-35)\/20). What is the greatest common factor of y and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -220, -4, 5, -5.\nAnswer: -220, -5, -4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2. Let a(i) be the second derivative of 0*i**3 + 0*i**2 - 7\/6*i**4 - 2*i - 19. Determine d(a(s)).\nAnswer: -784*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 2*v = -2*t - 8, -2*t - 5*v - 4 = 0. Suppose -3 = -t*g + 6. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2.1. Let b = 182.24 + -187.24. Suppose -2*q = 6 + 8. What is the nearest to q in o, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -3. Let p be (1 + -3)\/(2\/x). Suppose -p*k = -15, -k = -5*o + 4*o + 1. Which is smaller: 7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + 10. Let b = w + -17. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:37 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18 and -79\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23254 - 23255. Let b(k) = -k**2 + 5*k - 3. Let y be b(6). Sort y, -5, s in decreasing order.\nAnswer: s, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*r + 38. Suppose -3 - 3 = -r*t. Calculate the remainder when 1 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -418*b - 2*b**4 - 15*b**2 + 15*b**2 + 2 + 535*b to q*b**4 + o*b**3 + n + t*b + c*b**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + c - 4)*(-552*c**3 + 4719*c - 4719*c).\nAnswer: -552*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -158*c + 154*c - 5*f + 249377, 35 = -5*f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1 + (-3 + 6 - 1)*(-1 - 1 + 0) - 1216 + 374 - 1069)*(-4*w**2 + 3*w**2 + 0*w**2) - 5*w**2 + 4*w**2 + 3*w**2.\nAnswer: 1919*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.378\nAnswer: -0.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 9*z - 23. Determine t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1100) - (-2 + sqrt(1100)))**2)*1 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255211?\nAnswer: 11, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(448)*3 - sqrt(448)) + sqrt(448))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 12587262047.\nAnswer: 12587262047.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**5\/5 + p**3\/3 - p**2\/2 + 19*p. Let t(k) = 5*k**3 + 3*k - 1. Determine -2*t(b) + 3*w(b).\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 189*t**2 - 39676*t + 19838*t + 19840*t as s*t + w*t**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 13. Let r = -11 - -13. Suppose 4 = r*j - m. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:28 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 32*l - 76 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - h**2 + 5*h**2 - 4.\nAnswer: 2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749908 to the power of 1\/2, to the nearest integer?\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/42 + d**3\/21 + 20*d**2\/7 + 7408*d. Factor o(k).\nAnswer: -2*(k - 5)*(k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91214935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110111111 (base 2) to base 9.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11968 and 17204.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 151 + 2675. Let x(k) = -k**3 - 3*k**2 + 10*k - 5. Let h be x(-5). What is the units digit of (-3)\/15 + h\/(75\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 9:59 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 38*f**2 - 84*f - 55. Let n be d(-40). Suppose 0 = -c + 7 + n. Suppose 3*p = 26 + 22. What is the highest common divisor of p and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 13. Let u(r) = -3*r - 12. Let w(b) = -4*g(b) + 3*u(b). What is the least common multiple of 20 and w(0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - ((0 - 7) + 3). Let i be z\/1 - (2 + -16). Let p = i + -8. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 10*v**2 + 44*v + 8. What is the remainder when 653 is divided by s(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 4*a + 3. Let u be s(3). Suppose u*d = -d + 2. Determine g, given that -g - 3\/2*g**d + 0 - 1\/2*g**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and -3232.\nAnswer: -113120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyccvyyyavyyyyyy. Give prob of picking 2 c and 1 a.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/60 + 11*y**5\/20 - 19*y**4\/24 - 3*y**3 - 39*y**2. Calculate the lowest common multiple of g(-17) and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3899658666 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 6*n + 5. Let c be v(6). Suppose -c*b - 6 = -36. Let l(x) = -2 - 2*x**2 + b - 4. Let y(k) = 7*k. Give l(y(u)).\nAnswer: -98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + z + 2243226222. Let t = -521924002877\/2094 + z. Let o = 4\/349 - t. What is the common denominator of o and -23\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/60*-35*((-3795)\/(-77))\/(-15).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 297 - 291. Let o(t) = 4*t**2 + 10*t. Let s be (-3 - 0\/(-4)) + -17. Let j(x) = x**2 + 3*x. What is g*o(k) + s*j(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.3. Let m be 2\/(-7) - (-195)\/756. Let l = m + -29\/252. Which is the second smallest value? (a) -0.2 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-105))\/((-42)\/10)*2\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141097344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21224 by -3032.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*l**3*y**3 - 2*l**3 + 2*l**2 + 20513*l + 1124*y**4 - 13 wrt y.\nAnswer: 321*l**3*y**2 + 4496*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28389421?\nAnswer: 71, 399851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466538 is divided by 6138.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -229, -6, -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(0 + sqrt(2736)) + (sqrt(2736) + sqrt(2736) + -1 - sqrt(2736))**2*-3 - (sqrt(2736) + (-1*sqrt(2736)*3)**2)*-2).\nAnswer: -41037 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 108, -138*o + 3165 = 660*j - 143*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84\/66)\/(-7) + (-1483)\/11. Let b = a + 583. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -381 - 13*r + 24*r + 7*r - 10*r + 0*r to the form a + d*r and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (23 - 13) - 17?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199369 (base 10) in base 9?\nAnswer: 333431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260401362.\nAnswer: 2, 11, 57290971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x + 287*x**3 - 140*x**3 + x - 148*x**3 - 9*x - 3*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let k(a) be the third derivative of 0 + 2\/3*a**4 - 5*a**2 + 0*a + 0*a**3. Give w(k(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 122691901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c\/(c\/c**(-1\/3)*c*c)*c*c)\/c)**(22\/3) assuming c is positive.\nAnswer: c**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 plus -0.05?\nAnswer: -226.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (4*sqrt(2592) - sqrt(2592))**2 + sqrt(36)\/(sqrt(200) - (sqrt(200) - sqrt(200)*1)) + 1.\nAnswer: 3*sqrt(2)\/10 + 23325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 26*x - 341. What is t(37)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303 + -10?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwymmyyyy. Give prob of sequence myw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 6589704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1867*d**4 - 95 + 802*d**4 + 856*d**4 with respect to d.\nAnswer: -836*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1575 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18113*f + 4395630 - 4395630.\nAnswer: -18113*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55339.\nAnswer: 55339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.97 - 0.03. Which is the nearest to 0? (a) -3 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11 - 3 + f + 27. Let o be a(-9). Suppose 7*p - o*p = 69. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -26.66, -0.176, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-180))\/(8\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 234*w**2 - 3*w + 15. Let t(d) = -2*d**2 + 8. Determine k(l) - 2*t(l).\nAnswer: 238*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.04937 centuries to decades.\nAnswer: 790.4937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10871 - 0.442716048.\nAnswer: -10871.442716048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 110577 - 2*h - 110577 - h. Let b(a) = -194*a**2. Give x(b(y)).\nAnswer: 582*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/5)\/(-2) - 58\/(-1305)*9. Let f(y) = -y + 13. Let k(a) = -2*a + 19. Determine t*k(g) + 8*f(g).\nAnswer: 2*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, -24, -383, -860, -1455?\nAnswer: -2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -353. Suppose 5*r + 3*d = o, -5*d = -19 + 9. Solve -c + 5 = 0, -5*c + r = -0*w + 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 16 = -4*v, -5*d - 37 = -5*v - 8*d. Calculate the remainder when 29 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.4 + -8.361. Round d to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4255425, -4255422, -4255419, -4255416?\nAnswer: -4255413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 - 9*q + 9. Let z(k) = -3*k**2 + 10*k - 10. Let w(m) = -7*u(m) - 6*z(m). Suppose -4*g + 3*p = 4 - 3, 0 = -4*g + p + 5. Calculate w(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + 2880*w**3 - 7*w**4 + 4*w**2 + 7*w**2 - 2878*w**3 + 1 in the form c + u*w**3 + r*w**2 + l*w + h*w**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -38. Let y be (-2)\/(k\/4 + 1). Solve 6*q = q + y*j + 23, 22 = 4*q - 5*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 7:40 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 482890061 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -21506, 1 in decreasing order.\nAnswer: 1, -5, -6, -21506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 11*r**2 + 10. Suppose 53 = -5*z - 2. Calculate t(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228 + 238. Calculate the least common multiple of v and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1 (b) 0 (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1147 or 1?\nAnswer: -1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 2. Suppose -u = 3*o + u - 125, -4*o + 205 = -5*u. Let h be j\/(-18) - 8\/o. What is the smallest value in 2\/21, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1124*s**5*u - 43*s**3*u**2 - 169*s*u - 26*u**2 wrt s.\nAnswer: -22480*s**3*u - 258*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:53 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3023 or -12.11?\nAnswer: 3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 - 13*n**2 + 7*n + 7. Let b(r) = -4*r**3 - 7*r**2 + 3*r + 3. Let h(d) = 5*b(d) - 3*j(d). What are the prime factors of h(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -159\/4. Suppose -s = -4*s. Which is greater: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 26*w - 146. Let m be t(9). Let b(s) = -2*s**3 - 4*s**2 + 6*s - 2. Let z(i) = 2*i**3 + 5*i**2 - 7*i + 2. Calculate m*b(x) + 6*z(x).\nAnswer: -2*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + -74?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u + 32*u + 28 = 72*u. Solve -g = -u, 4*g + 6 - 23 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/4914*(-27)\/(-3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49409 (base 11) in base 2?\nAnswer: -10001010101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from sxsjacx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 + 143.315. Let u = 152.685 + i. Let k = 153.079 - u. Round k to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 664, 0.4, -22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 1)*(2 - w - 2) - w - w + 4*w + 28*w + 1 - 1 + 10*w.\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyya when four letters picked without replacement from yaaaaaaayaaayayaaya?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-4095)\/(-54)))\/(30\/(-1120)*-8)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r - 20. Let y(d) = 8*d - 6. Let u be y(r). What is the greatest common divisor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*-14 + -3. Let x = 66 + o. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5766027 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4446 by 26.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -0.2 (c) 1\/3 (d) 5.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1. Let i = 2 + q. Suppose -25 = 3*c - 8*c. Put i, c, -3 in increasing order.\nAnswer: -3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t - 14*t + 70*t + 2*f - 14 = 0, -20 = t - 3*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjuu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5387*i - 5386*i + 10775*i + 30)*(758 + 23*i - 758) to u + w*i + f*i**2 and give w.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -2 - -16 - (0 + -2)) + 1 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 3*x + 14*x**4 + 2*x**3 - 9*x**4 - x to the form c*x**3 + r*x + y*x**4 + i + t*x**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -52\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 249.2504 centuries?\nAnswer: 24.92504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/66 - ((-2120)\/(-11))\/(-4). Let f be ((-30)\/w)\/5 - (-34)\/16. Let v = -0.36 + 0.06. What is the fourth biggest value in 0.3, 0.2, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -662*v**5\/5 - v**4\/2 - 5*v**2 - 56*v + 3118. Find the second derivative of i(y) wrt y.\nAnswer: -7944*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410546 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, 2, -31\/6, 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(3 - 3 + u) + 3*u + u + 0*u)*(4 + 16 + 12).\nAnswer: 160*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1496285, 2992767, 4489249, 5985731, 7482213, 8978695?\nAnswer: 10475177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by -6\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c = 20. Let i = c - -8. Solve 6*x = i*x + 2*h - 16, -2*h + 2 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3. Suppose -5*n - 4*z + 18 = 0, 0*n - 4*n = 4*z - 16. Let p(c) = -2*c + 8. Let u(k) = n*v(k) + p(k). Give u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1966.197 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 4*z**2 + 2*z - 6. Let h be b(1). Let y be (4\/12)\/((-1)\/3). Put -3, y, 4, h in increasing order.\nAnswer: -3, y, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1\/((-4)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2)\/((-30)\/55).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*s - 1999294 = -760650 + 1467486. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/3556 or -6?\nAnswer: 11\/3556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27350801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9470163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28074639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 4. Let a be u(0). Suppose a*j + 161 = 633. Suppose j + 29 = 7*v. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5502 + 5540 - (88 + 3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4759, 3.\nAnswer: -4759, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10529 is divided by 162.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + 4 + sqrt(539)*1 + 1 + 5)**2.\nAnswer: 154*sqrt(11) + 658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**6\/660 + x**5\/165 - 2*x**4\/33 - 39*x**2. Find u such that n(u) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/7, 53\/4, 0.5, 15.8 in descending order.\nAnswer: 15.8, 53\/4, 0.5, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138294108.\nAnswer: 2, 3, 431, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, 39, 4 in decreasing order.\nAnswer: 39, 4, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 - 303691?\nAnswer: -30363c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21220 and 112466.\nAnswer: 1124660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -29.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.9 + 0.7. Let l = 12.22 + -0.22. Let o = v + l. What is o rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from qlqqoooqoqq?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from beejezbbzpjpe.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6136.8 - 6136. What is the nearest to 1\/2 in 2\/3, -0.5, q, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:31 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/67315 = -0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 5:42 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1621416 and 1011.\nAnswer: 546417192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njr when three letters picked without replacement from {f: 3, r: 6, v: 3, j: 1, n: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4 + 6*x**2 - x**3 - 4*x - 1 - 2*x**2. Let b be h(2). Is 12 + -1 + (b - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -5*k**4\/12 - 2*k**2 - 278*k. Let z(c) = -55*c**2 - 1. Calculate d(z(y)).\nAnswer: 550*y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8665.\nAnswer: 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - b + 0*b. Let r(x) = -49 - 26 + 75 + 45*x**2. Calculate r(m(k)).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140937527?\nAnswer: 140937527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 410 in descending order.\nAnswer: 410, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2810152, -2810179, -2810230, -2810317, -2810452, -2810647, -2810914?\nAnswer: -2811265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 32*w - 20. Suppose 5 = c, -7*c + 17 = l - 8*c. What is the tens digit of k(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 - 3048227590*d + 464584572021860405 = 0 for d.\nAnswer: 304822759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3703 = 3*k + 3661. Calculate the least common multiple of k and 161.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 877 + -883. Which is smaller: j or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 12 = -39*y + 12*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b**2 - 3*b + 3. Let g(z) = 6*z**3 + 31*z**2 + 15*z - 14. Suppose 4*w - 5 = 3. Let y(s) = w*g(s) + 11*f(s). Calculate y(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 29. Let d be 0\/((-2)\/(-6)*21). Suppose d = 3*x - 32 - t. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((5 - 9)*20)\/(1\/(-4)). What is the greatest common divisor of m and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14123*z**4 + 56*z - 795706?\nAnswer: -56492*z**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 115, 270, 689, 1504, 2847, 4850?\n\"Answer: 22*x**3 + x + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1973 - 922*y**3 - 685 + y**2 - 660 wrt y?\nAnswer: -2766*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*0 - -92 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 26. Let h be l\/6*(-9 + 9). Factor -2*c + 2*c**5 - 4*c**4 + 2*c**2 + h*c**5 + 2*c**2.\nAnswer: 2*c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2 = 29*g - 31*g, -2*w + 1 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1881008 - 60?\nAnswer: -1881068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 17*a**9\/504 - 2*a**5\/15 - 9*a**2. What is the third derivative of c(k) wrt k?\nAnswer: 2040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*n + 15 = 0, -5*q + 9*n - 5*n - 9 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 13641546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -10 - (-3 - (-2 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7651?\nAnswer: 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -123784*m - 1856750. Give o(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434 (base 8) to base 5.\nAnswer: -2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 8*z + 26. Put -5, z, 5, -11 in descending order.\nAnswer: 5, z, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -368 - -375. What is the closest to 0 in -13, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 104*w + 2601. Calculate h(62).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:42 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*n - 147*n - 217*n - 2*n + 5*n - 5*n + (0*n + 0*n - 2*n)*(-4 + 4 + 2) + 4 - 2*n - 4 + 0*n + 0*n + 2*n + 3 - 3 - 3*n.\nAnswer: -239*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281143 is divided by 1625.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/5, -3, -0.04.\nAnswer: -3, -0.2, -0.04, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*c - 92*c = -3200 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine quarters of a kilogram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6694 + -6614. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*g**2 - 406066*g + 116020.\nAnswer: -2*(g + 29005)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703812198?\nAnswer: 2, 11, 103, 829, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 2*b**2 + 45 + 58 - 108 + 0*b**3 - 8*b**2 + 2*b to h*b**3 + m + u*b**2 + q*b and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((16\/96)\/((-262)\/(-6))).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165 - -242. Suppose -74 = -3*y - 26. What is the remainder when r is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.02 - -3. Let i = p + 0.42. Let u = -12.5 + 12. Sort u, i, -1 in decreasing order.\nAnswer: i, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -45, -62, -95, -150, -233, -350, -507?\n\"Answer: -c**3 + c**2 - 3*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100 + 100201122102?\nAnswer: 100201202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 48*f**3 + 33*f**2 + 33*f - 33. Let s(v) = -3*v**3 - 2*v**2 - 2*v + 2. Determine -4*q(r) - 66*s(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*o*u**2 + o + 8*u**2 - 22542*u - 54006064 wrt u.\nAnswer: -6*o*u + 16*u - 22542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202805137 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5020728 (base 9) to base 10.\nAnswer: 2670920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 59*o + 21. Let j be a(-2). List the prime factors of 9\/(-27)*(j - 2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.0405589 and -9?\nAnswer: 5.9594411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 23246*g - 8 - 23248*g - 10 - g**3. Determine x(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 1. Let n = -7170.4 + 7170. Which is the closest to o? (a) n (b) -1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113.35293 - 113.44. Let n = -547.78707 - s. Let i = 583 + n. Round i to 0 dps.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 1045?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7719.4+-2.4\nAnswer: -7721.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 70940\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6074192 or 1?\nAnswer: -5\/6074192","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 3*u + 96. Let z(d) = 2*d. Let l be z(1). Let k(v) = u*v**l - 2 - 7*v**2 + v + 4. Give k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 3*k**2\/2 + 4*k + 13. Let y be (8\/((-8)\/13) + -2)\/(-3). Let i(f) = -2*f - 3. What is y*p(g) + 7*i(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 5*q + 1. Let m = 12 + -3. Let d be (-3)\/(-2)*(0 + (-30)\/m). Determine z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 16*w - 19. Let h be k(8). Suppose -h = -t + 3*v, 24 = t - 2*v - 23. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 3*w**2 + 374*w - 749. Give b(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 18630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 7*w + 7*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (1\/(-1))\/(5\/85)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13\/302 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12915 and 540995.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/21 - (-8)\/3. What is the first derivative of -w - 1 - 2 + g wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.026 and -6198885.\nAnswer: -6198884.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/14)\/((-1146)\/(-4011)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 2*g**2 + 7 + g + 3*g**3 + 3*g**4 + 2*g**4 in the form y*g**2 + o*g + w + m*g**4 + d*g**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*n**2 - 142*n**4 + 87 - 250 - 164*n**2 + 84 + 81 wrt n?\nAnswer: -3408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 47*y**3 - 3*y**2 + 58*y - 906. What is the second derivative of c(q) wrt q?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14517, -116901, -394799, -935967, -1828161?\n\"Answer: -14626*s**3 - s**2 + s + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) 0.01 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 + 5*v**3\/6 - 3*v**2 + 7*v. Calculate q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 16*j**2 - 103*j - 529. What is w(-4)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 31851*s - 191038. Give z(6).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 367 + -336. Calculate the remainder when 62 is divided by m - 14\/(0 + -7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 83*p - 1257. Let m(c) = -c**2 + 12*c + 2. Calculate the remainder when i(61) is divided by m(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - (-8 + 13 + 1 - 17))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 745*n + 5105. What is the hundreds digit of a(78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 728 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 3:37 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:05 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/60 + 23*t**4\/24 - 117*t**2. Let s(q) = 0. Calculate q.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21411 + -3?\nAnswer: 21404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2052712 <= -2052721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.25 - -0.16. Let y = 0.79 + i. Sort -4, 2\/11, y, -0.4 in descending order.\nAnswer: 2\/11, y, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) + -1 - (sqrt(3) + -1*sqrt(3)*3)) + (sqrt(54)\/sqrt(2) - 1*-1*sqrt(3)))*-5)**2.\nAnswer: -750*sqrt(3) + 16900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1260 and 27468?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8988755 millilitres?\nAnswer: 0.0008988755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(130)*-1)\/(-2*sqrt(1000)).\nAnswer: -3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7060\/69 or 101?\nAnswer: 7060\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 - -7.1. Let n = 2.1 - z. Sort -0.3, -4\/7, 2\/7, n.\nAnswer: -4\/7, -0.3, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 3, 2\/13, -2\/3, 339.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 25. Let z = 269 - 273. Which is the third biggest value? (a) z (b) 0.1 (c) m (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 - 486*n**2 - 22648*n + 47256 = 0. What is n?\nAnswer: -179, -66, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44285 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 454*p + 13. Let q be t(10). Let d = -72881\/16 + q. Calculate the common denominator of d and -59\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 95*s**2 + 32*s - 25. Determine z(-32).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:58 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40330108 divided by -26?\nAnswer: 1551158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1600*r**2 + 1537*r**2 - 3134*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 24 = 23, 2*h = -5*r + 6943. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.165 + -2.165. Which is the closest to z? (a) 0 (b) -9 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y + 504 = 51*y. Suppose -4*p + y = 2*p. Which is bigger: p or 47\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612221979.\nAnswer: 3, 204073993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.2. Let i be 1\/6*2\/(-3). Suppose -2*h + 24 = 6*h. What is the closest to u in 2, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 60*w - 124. Give z(-28).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*f = 3*z - 70, -2*f = -5*z + 235. Suppose -2*k + z = -5*i, 0 = -k + 5*k + 3*i - 51. List the prime factors of k\/(-3)*(-3 + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -4*n**3\/3 - 3*n**2\/2 - 9*n + 3. Let q be x(-2). Suppose -16*g = -q*g - 30. Solve -b - g = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 12535589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 + 11*k**2 + 7*k - 36. Determine i(-6).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + (-182)\/(-21))*-1. Put -2, -4, j, -1.2, -14 in decreasing order.\nAnswer: j, -1.2, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 6*a - 1. Let d be g(-5). What are the prime factors of (-148)\/(-16) - 1\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 724 and 19729.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6615 = -7*p + 28*p. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 162*c + 344*c - 58 = 201*c, -4*s + c + 3*c + 56 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 4, -130.\nAnswer: -130, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2745*w**2 - 3*w + 29352 - 29352 as f + d*w + c*w**2 and give c.\nAnswer: 2745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.1. What is the second smallest value in s, -1, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:37 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -145568.\nAnswer: 1\/145568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 10.2. Which is smaller: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 107*u + 4*u**3 + u**4 - 5*u**3 + 4*u**2 + 21*u**3 - 5*u**2 - 106*u to i + f*u + s*u**3 + k*u**4 + p*u**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2535, -2537, -2539, -2541, -2543, -2545?\n\"Answer: -2*k - 2533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/(8\/(-4))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 20*r**2 + 8. Calculate the remainder when 108 is divided by o(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 15744 = -7*i. Suppose -2*b - b + i = q, b = -4*q + 31510. Suppose 10*u - 4*x - 7886 = 5*u, -5*u + 2*x = -q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, g: 2}. Give prob of sequence aga.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 + 4*t**4 - 1532555*t**2 - 40069306*t + 1 wrt t?\nAnswer: 20*t**3 + 48*t**2 - 3065110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -52. Let r = 5 + q. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -313, -1070, -2287, -3964, -6101, -8698, -11755?\n\"Answer: -230*o**2 - 67*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**2 + 1. Determine g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070278343 rounded to five dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 24\/5. Which is greater: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -62*b - 7*l, 3*b - 3*l = 6 + 3 - 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -35*b**4\/12 + b**3\/6 + 61*b**2. What is the derivative of k(i) wrt i?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (1 + sqrt(637) + -1)**2 + (sqrt(637) - (2*sqrt(637))**2) + 0 + sqrt(637).\nAnswer: -1917 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 108 = 0. Let f(q) = -q + 5. Let m be f(-1). Suppose -m = 2*u, h + 5*u - 62 = 58. Calculate the highest common divisor of z and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2297*j - 138*j + 3140*j to the form v*j + s and give v.\nAnswer: 5299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 491359?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 1. Suppose 3*z + 2 + 10 = 0. Let y(u) = -8*u**2 - 17*u - 11. Let o(n) = -3*n**2 - 6*n - 4. Let q(s) = -17*o(s) + 6*y(s). Give z*l(p) + q(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 896 - 894. Let i(a) be the first derivative of 1\/5*a**5 + 0*a**t + a + 0*a**4 - 7 + 0*a**3. Differentiate i(f) wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:10 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 0, 10, 4, 2 in decreasing order.\nAnswer: 83, 10, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 14*j - 269. Give b(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n + 35. Let h be z(3). What is the second derivative of 20*i + 72*i**3 + i**2 - i**h - 57*i**3 wrt i?\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -325 + 1393*s**2 - 1402*s**2 + 325. Suppose 0 = 3*u + u - 20. Let l(m) = -u + 6*m**2 + 5. Give l(j(d)).\nAnswer: 486*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088 is divided by 294?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/115, -1, -4, -3\/2, -3 in descending order.\nAnswer: 4, -3\/115, -1, -3\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010453 rounded to 7 dps?\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 24*b + 14. Calculate d(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 0*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + s)*(28*s**3 + 648*s**3 - 2166*s**2 + 2166*s**2).\nAnswer: -676*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -5, -75, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 12*w**4 + 106*w**3 + 284*w**2 + 290*w + 100 = 0?\nAnswer: -5, -2, -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86306.21l?\nAnswer: 86306210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17 - 891*w**2 + 892*w**2 - 54 - 34*w. Let n be y(36). Put n, 20, -1 in increasing order.\nAnswer: -1, n, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -77. Let q = 111 - 65. Let l = q - n. Which is the closest to -2? (a) -4\/5 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/3 - 280\/9*k + 208\/3*k**2 - 266\/9*k**3 + 2*k**4 = 0 for k.\nAnswer: -2\/9, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-2 + -2))\/(1 - (-32)\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -342 or -110198\/323?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 18022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -31. Calculate the remainder when (3\/(-10) - 0\/5) + (-90870)\/(-3900) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 3*m - 7. Let h be 8\/14 + 62\/14. Let a be i(h). Suppose a*s = -0*s + 21. Is s 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) 5 (b) -1 (c) 0.5 (d) -3 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 45858.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:52 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let m(j) = -19*j + 49. Let f(r) = 12*r - 33. Let s(i) = 8*f(i) + 5*m(i). Determine v(s(g)).\nAnswer: -g + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 30*s**2 - 25*s + 145. Let r be q(-29). Sort r, -25, 2 in decreasing order.\nAnswer: r, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*(-27)\/150?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q - 105024 = -58*q. What is the greatest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3285654 - 212?\nAnswer: -3285866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 705317325 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4560 divided by 1.\nAnswer: -4560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1052, 893, 734?\n\"Answer: -159*a + 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-64))\/((-2)\/8). Factor 0 - g - 7\/4*g**4 + 3*g**2 + m*g**3.\nAnswer: -g*(g - 2)*(g + 1)*(7*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*(8 - 8 - 2*c) + (-1 - 5 + 3)*(-c + c + c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 7. Suppose -z*m + 14 = -26. What is the greatest common factor of 24 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -28. Let v = z - 11.035. Let s = -0.0349894 - v. Round s to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -2, 1, 64700?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188347 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35240*w + 11439*w + 5851*w.\nAnswer: 52530*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 + (-945)\/(-25). Let v = g + -23. Let h = 0 - -4. Solve h*n = n - v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001836455 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(224)\/(2*4*sqrt(8)) - (1 + 5 + sqrt(84)\/sqrt(3))))**2.\nAnswer: 28*sqrt(7) + 1367\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 535402211?\nAnswer: 535402216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1534953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z + 90 = 4*r, 2*r = -z + 233502 - 233490 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -12 (c) -2 (d) -4 (e) 6\/11 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 = 5. Suppose -6*h = -k*h - 10. Factor -h*x**3 + 16\/3*x**2 + 0 - 8\/9*x + 50\/9*x**4.\nAnswer: 2*x*(x - 1)*(5*x - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/15*(1 + 111\/(-120)). Let j(z) be the second derivative of 0 + 5\/12*z**3 - 1\/6*z**4 + o*z**5 - 2*z - 1\/2*z**2. Factor j(k).\nAnswer: (k - 2)*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1)\/(2 - 0). Let c = -4 + 15. Let u = h + c. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 368106 and 77496?\nAnswer: 1472424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 8*m + 7. Let x(n) = n**2 - 25*n - 40. Let q be x(27). Is k(q) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from rgvnv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgmw when four letters picked without replacement from {m: 1, g: 2, z: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3891 - -3907. Solve -4*z + b + 0 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461.12 millennia in months?\nAnswer: 29533440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-34))\/(1\/(-1))*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2, 12*x - 2*x = -4*o + 80374. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70893819 rounded to the nearest 10000?\nAnswer: 70890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*r**2 - 44*r**2 - 98*r**2 - 13*r**3 - 41*r**2 - 3*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 99*q**4 - 11*q**3 + 11*q**2 - 11*q + 34. Let z(b) = -33*b**4 + 4*b**3 - 4*b**2 + 4*b - 11. Let w(n) = 4*c(n) + 11*z(n). Differentiate w(f) wrt f.\nAnswer: 132*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -533 - -341. Let q = 285 + b. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*(-4 - -2)*(-93 - -88)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/3)*w)**(-41)\/(w**8\/(w*w*w*w**9)) assuming w is positive.\nAnswer: w**(-193\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -261, -1\/47?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/h**(6\/11)*h)\/h*(h**(-22)\/h)\/h assuming h is positive.\nAnswer: h**(-248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, -12.\nAnswer: -23, -12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 - 243. Let s be (-2 + f)*5\/10*-3. Which is the closest to 0.1? (a) -0.2 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s - 5. Let d(y) = -12*y + 13. Let t be d(0). Let f(q) = 17*q + 11. Let a be (-11 + -1)*1\/(-2). Calculate a*f(u) + t*i(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -479*q**3 + 4*q + 1339. Let r(j) = -1918*j**3 + 18*j + 5358. Let o(h) = 2*r(h) - 9*s(h). What is the first derivative of o(w) wrt w?\nAnswer: 1425*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226009569?\nAnswer: 3, 23, 3275501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*b + 19 = 0, -5*b = 5*j - 3*j - 33. Suppose -3*c = j*i - c - 20, 3*i + 5*c = 29. Suppose -8*u = i*u - 1485. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1398, -1394, -1388, -1380?\n\"Answer: r**2 + r - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/12 + 1*2. Suppose 6*f = r*f + 42. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/12355 - -343481\/148260. Let p = -1\/99 + -289\/792. Find the common denominator of p and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -569, -1, 2, 0.4 in ascending order.\nAnswer: -569, -1, -1\/4, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*c**3 - 25*c**4 + 142*c**3 + 139*c**3 + 3*c - 2*c as b*c**3 + v + r*c + f*c**2 + k*c**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 + 4*g - 26. Let b be x(5). Let f(q) = q. Give f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -9, 7, 26, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:20 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8261\/33 - (-2)\/3. Suppose -3*g + 59 = -0*b - b, 4*g - o = 5*b. Let p(r) = -4*r**2 + 6*r - 28. Let d be p(3). Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 + 6*x + 4. Let m be d(7). Let o be (-4 - 122)*2\/m. Let v = -44 + o. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 722*(-6)\/1080. Let y = 158\/45 - i. What is the common denominator of (-66)\/4*(-4)\/32 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -155\/3. Let v = 3.8 - 0.8. Let d(g) = g + 9. Let q be d(-7). Sort s, v, q in descending order.\nAnswer: v, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6411 - -6427. What is the smallest common multiple of 9606 and t?\nAnswer: 76848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489 (base 10) to base 11.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*w**5 - 66*w**3 - 158*w**5 - 193*w**2 - 24*w**3 + 83*w**5 wrt w.\nAnswer: -120*w**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311297840.\nAnswer: 2, 5, 7, 587, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03661 + -0.0439. Round o to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2843370975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*n = -3*n + 8, -8 = 2*f + n. Which is the fourth smallest value? (a) f (b) 4 (c) 1\/3 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103321 - -2020230?\nAnswer: 1310303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 148729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 712133 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - 2*i**4 + i**4 + (3*i**3 - 2*i**3 + 4*i**3)*(2*i + 1 - 1) - 455*i + 0*i**4 + 4*i**4 + 460*i.\nAnswer: 13*i**4 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30204\/(-216) - (-2 + 1)\/(-6). What are the prime factors of (-959)\/(-5) - 28\/y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -11.67?\nAnswer: 81.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 151*q**2. Let h(m) = m**2 + 130803 - 130803. Calculate h(v(c)).\nAnswer: 22801*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2635 is divided by 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1883*c - 945*c - 213*c**2 - 946*c + 214*c**2.\nAnswer: c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 1)*(1 + -2). Suppose 0 = 3*n + 17 - 26. Suppose -n*b + 48 = -i*b. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 + 6*k - 1. Let v be o(6). Let j(w) = 64*w**2 - 4*w - 3. What are the prime factors of j(v)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/387, 0.15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x**2 - 3*x + 3*x.\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 9) in base 12?\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38001415, 38001411, 38001409, 38001409, 38001411, 38001415?\nAnswer: 38001421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 12496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13796 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:53 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -71*q + 11. Let a(c) be the third derivative of 0 + 0*c**q + 1\/105*c**7 - 1\/30*c**6 + 0*c + 0*c**4 + 1\/30*c**5 - 10*c**2. Factor a(r).\nAnswer: 2*r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z**3 - 5*z**3 + 43987676323*z**2 - 43987676321*z**2.\nAnswer: -53*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19191\/10 + 1915. Find the common denominator of -3 - (8 - (38\/(-9) - -8)) and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 143*v - 3625. Calculate w(66).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 11 + (4 - (11 - (-9 - -55))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/10*6)\/(-19 - 225663\/(-11875)). Is 2251 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*6*(-58)\/6. Let q = 1082 - 1053. Let o = l + q. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.279 - -28.2789720745. What is x rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d5a (base 14) to base 5\nAnswer: 413404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -1\/3*p**3 + 2*p**2 - 3 + 0*p. What is the second derivative of u(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 951073 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 3*f**2 - f**2 + (-6*f + 2*f + 7*f)*(4*f - 5*f + 2*f) to the form v*f**2 + c + y*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*r - 118900 - 298523, 5*x - 2*r - 417411 = 0. Let u = -153483 + x. What is u rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-69)\/(-21) + (-2)\/7. Let k(g) be the first derivative of -1\/2*g - 1\/4*g**4 - 1\/4*g**x + 9\/8*g**2 - 1. Factor k(c).\nAnswer: -(c - 1)*(c + 2)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3. Let k(o) = -o - 2. Let x(s) = -6*k(s) + 4*l(s). Let u(t) = 0 + 0 + 3*t - 2*t. Let r(a) = 15*u(a) - 2*x(a). Let h(v) = v**2. What is h(r(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from mgmmmmgmqmmmmqmmqm?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 10156764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 - -1) - ((6 - -29) + -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(1\/108). Let a be (g\/(-45))\/(4\/(-10)). Let b(j) = -j**2 - 2*j + 3. Let i(n) = -3*n**2 - 6*n + 10. Let s(f) = 7*b(f) - 2*i(f). Calculate s(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 11*l - 12 = 0. Solve 16 = a + l*a, -a = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451173 is divided by 441?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 3889992*u + 2522006293344.\nAnswer: 3*(u + 1296664)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7440, -7704, -8108, -8622, -9216, -9860, -10524, -11178?\nAnswer: -11792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -114, 2 in decreasing order.\nAnswer: 5, 2, -13, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**4*y + u**3*y + 178*u + 2*y - 67 wrt u.\nAnswer: -4*u**3*y + 3*u**2*y + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*v + 38, 35 = 3*v + 5*a - a. What is the nearest to -1\/2 in v, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssstsststsssssstss. Give prob of sequence sts.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 4*h, 13 = 6*k - k - h. Sort k, 2, -1.\nAnswer: -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20)\/b**(-2\/51))**(3\/16) assuming b is positive.\nAnswer: b**(-509\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2266862 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/144504 and 121\/240840?\nAnswer: 722520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:26 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 15*t**2 - 17*t - 7. Calculate n(14).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o - 17. Let y be s(4). Solve c + y*c - 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 - 178.8. Which is the biggest value? (a) -3\/2 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -284.42 + -1.58. Let x = 83.6665 + -369.6846. Let l = x - m. What is l rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46098, -46040, -45864, -45510, -44918, -44028, -42780?\nAnswer: -41114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 910928583 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 12. Suppose -2*h - 10 = -34. What is the tens digit of z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8222\/14 + (-8)\/28. Suppose 0*w = -w + l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 9:53 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 39646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 441.059904 + -0.089904. Let f = -441 + s. What is the nearest to -3 in 0.1, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h - 6. Suppose 7 + 13 = 5*x. Is w(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027873 a multiple of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9397883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000813 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0763*-2.8\nAnswer: 0.21364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2*d - 5*o + 11*o - 11*o, 0 = -2*d - 4*o for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-636)\/(-318)*-5*9\/180.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllrrll.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*x + 21, -8 = -4*o - 4*x. Does 3 divide 1 - ((-8 - -2) + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -375, -583, -821, -1089, -1387, -1715?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4)\/x)\/x*x*x\/(x*x*x**6*x*x*x)*(x**(1\/3))**1 assuming x is positive.\nAnswer: x**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(sqrt(931) + 0 + sqrt(931)) - (1*sqrt(304) + sqrt(76)\/(sqrt(16)\/sqrt(4))))**2 + 1.\nAnswer: 10052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 9. Let w(j) = -252*j**3 - 2*j**2 + 1. Is w(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Suppose -5*d + 130 = 2*t, -4*t - t + 358 = -4*d. Let x = t - 47. Suppose 2760 = 40*b + 3*b - 3*b. What is the greatest common factor of x and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 37*a**2 + 96*a + 2155. Let u be l(-36). Sort 4, 72, 3, 5, u in increasing order.\nAnswer: u, 3, 4, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290*t**3 + 87*t**2 - 2*t wrt t?\nAnswer: -1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0 - 1\/10*p**6 + 2*p**2 + p + 2*p**3 - 1\/42*p**7 + 1\/20*p**5 + 11\/12*p**4. Factor q(j).\nAnswer: -(j - 2)*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -23, 1, 4, -57?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4 - 20. Suppose 5*j + 65 + 330 = -a*q, 5*j = q - 420. Let l = 153 + j. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m + 1287. Calculate the remainder when 3\/((-9)\/m)*(-4)\/(-4) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/(7\/21). Let w be (-2)\/3 - 132\/(-117). Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57384 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + -751?\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2 + 2)*(b - b**4 - b) + 3*b**5 + 0*b**5 - 2*b**5 + 66*b**4 - 66*b**4 + 6*b**5.\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -16. Let g be 3\/(-5) - j\/(80\/46). Suppose -w + 203 = -2*b + 4*b, -877 = -g*w + 5*b. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762, 2900, 6472, 11484, 17942, 25852?\nAnswer: 35220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 21*g - 5. Let n = 0.34 + -0.14. Put n, -2, g in ascending order.\nAnswer: -2, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 20.72903.\nAnswer: -41.45806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 33. Suppose -2*s - 3 - q = -2*m, 3*m + 3*s = 30. Suppose -3*c = 2 - m. Solve -5*g - c*v + 21 = -5*v, 3*g + 4*v - 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdddsddsdssd. Give prob of picking 4 d.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38349 and 15.\nAnswer: 191745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26435933 is divided by 47207?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 19*n - 6*n**2 + 4*n**2 + n - 4*n - 32 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23084 is divided by 11408.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 + 9*g**3 + 17*g**3 - 2 wrt g?\nAnswer: 78*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f + 5 = -g + 37*f - 76*f, -5*g + 4*f - 31 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 120 = -y. What is the lowest common multiple of y and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 8 = 4. Suppose 2*k + 2*p = 20, 3*p + 25 = 3*k - k. Let f = -6 + k. Calculate the remainder when f is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/483707 and 32\/5117?\nAnswer: 8223019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k**3 - 15*k**2 - 11*k + 34. Let a(s) = -7*s**3 - 8*s**2 - 6*s + 17. Give 11*a(v) - 6*y(v).\nAnswer: v**3 + 2*v**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(2 - 1 + 3)*(-1134 + 1134 - 159*t)*(0 + 6 - 3).\nAnswer: 1908*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 607472795*m**5 + 2*m**2 - 148717*m + 65 wrt m?\nAnswer: 36448367700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**5 - 5*j**3 + 5*j**3 + (0*j**4 - 2*j**4 + j**4)*(-2 + 2 - 3)*(0*j - 4*j + 3*j).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 304398.\nAnswer: -304390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217\/5 - ((-84)\/(-35))\/6 is divided by 2\/3 + (-43)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 - 408 = -272*v + 2131 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/(232\/1392).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165536514 a multiple of 4862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1102 - 0. Let i = 11609 - 11590. What is the greatest common divisor of i and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2759 + 3742 = 1710*b - 339. Solve -4\/3*p + 8\/3*p**2 + 0 + 1\/3*p**5 - p**3 - 2\/3*p**b = 0 for p.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 834*h**3 - 8*h + 10 - 839*h**3 - 10.\nAnswer: -5*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-19 - (-861)\/45)\/((-12)\/(-10)))\/(-1). Sort 8.1, -4\/7, 0.9, g.\nAnswer: -4\/7, g, 0.9, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/8 + 6\/(-24). Let t be ((-5)\/r)\/(5\/(-500)). Suppose 80 = -2*h + t. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*s = 249*s - 2226. What are the prime factors of s?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 3997 (c) 2\/5 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 3*y - 2. What is a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 62, 142, 260, 422, 634, 902?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*o + 15*o**3 + 15*o**3 - 58*o**3 - 90*o + 16*o**3 - 31*o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*h + 1341 + 1454 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1687374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 4*k**2 - 3*k + 6. Let o be (-1)\/2 - 70\/(-20). Let x be l(o). Solve -3*u + 0*v - 5*v = x, 0 = 2*u - 5*v - 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38631112?\nAnswer: 2, 13, 371453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385545 and 2250.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, -13, 0.45, -1\/98?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3310*d + 72783. Determine p(22).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 22. Let j = n + -41. Let a(p) = -22*p**3 - 3*p**2 - 1 - 1 + 3 - p + 20*p**j. Calculate a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -40054, 1\/2, 1 in increasing order.\nAnswer: -40054, -3, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4*d = -192. Suppose -17*r + 21*r = 5*w - 48, 0 = -4*w - 5*r + 22. What is the greatest common divisor of d and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/93*(-5)\/(5*6*3\/(-36))\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -59*a - 54. Calculate m(6).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 51 = 5*u. Suppose 23*j = 21*j - 56. Calculate the common denominator of -69\/10 and j\/(-21)*53\/u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)\/(16 - 15). Let h be 2 - ((-1215)\/6)\/3. Let o = -68 + h. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97269.\nAnswer: 3, 32423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30445*n**3*v - 192085*n**3 + 17*n**2 - 72*v wrt v.\nAnswer: 30445*n**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*n = 20, 2*q + 3*q + 2 = 3*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {m: 1, l: 2, w: 2, t: 1, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -3dd?\nAnswer: 3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14*a**2 - 2531*a + 14682. Determine y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 125 - 317 = 0. Let v be (-7203)\/(-18) - 4\/w*-2. Suppose -j = m - 109, -j + v = 3*j - 5*m. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -881*n**3*s**2 + 12*n**3*v**3 - 5*n**2*s**2*v**2 - 27*s**2*v + 5*s*v**3 + 2*v**3 wrt n?\nAnswer: -5286*s**2 + 72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 10*k - 5, 5*b + 20 = 4*k. Let v(h) = -2*h - 12. Let w be v(-9). Let s be (-16)\/w*6\/(-4). Solve b = s*j - 4 - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 800 - -769. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512885 is divided by 1014.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10437?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 1, -65, -42 in increasing order.\nAnswer: -65, -42, -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 562950486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*v**3 - 330*v + 2 - 4*v**3 + 329*v to i*v**2 + r + f*v + s*v**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49413, 98836, 148259, 197682?\n\"Answer: 49423*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -55. Let d be (1\/((-2)\/(-3)))\/(n\/(-44)). Determine k, given that 14\/9*k + 4\/9*k**2 - 14\/9*k**d - 4\/9 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -1.769 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, u: 1, z: 3, h: 5}. What is prob of picking 1 i and 3 z?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 10*d + 26. Let v be k(12). Which is smaller: 7\/13 or v?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8532923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 51 + 4. Suppose 3*n = -2*f + 3*f + 7, n + a = -3*f. Let o(w) = 100*w**2. Let j be o(n). Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 90. Let z = 45 + -75. Let x = i + z. Calculate the remainder when 29 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 - 8*k**4 - 12*k**3 + 16*k**2 + 16*k = 0. What is k?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2 + 0)\/1 - 0) + 4. Solve b - 3*b = -w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -0.49, -13?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 143*o**2 + 39*o. Let j(g) = 18*g**2 + 5*g. Calculate -5*b(u) + 39*j(u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*w = 12438. Suppose 4*i = 1003 + w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + a = 42, 34 = 2*v - 5*a + 4*a. What is the remainder when 90 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*w**2 + 41*w**2 - 17*w**2.\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 278689223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {r: 2, p: 1, x: 5, g: 1, y: 1, t: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 200059 (base 12) in base 3?\nAnswer: 221021202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/5*-4)\/(3507\/(-835)))\/(6\/21)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + 1.7999712. What is y rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-3))\/(-8))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92720 and 171776.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**6\/6 - q**4\/2 + 22*q**3 - 74. What is the third derivative of g(p) wrt p?\nAnswer: -60*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801 + 1232 = -60*p - 74*p - 647 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231 (base 4) to base 2.\nAnswer: 1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59659 + 35269. What is m rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**14*t)\/(t*t**19\/t) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8140)\/(-300) + -27 + 2\/(-15). Let v(y) = y**2 - 16. Let o(m) = 2*m**2 - 33. Let w(n) = -2*o(n) + 5*v(n). Calculate w(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47521.4197657 - -273.1497691. Let i = b + 47248.4. Let v = i - 0.13. Round v to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*h*u - 2*g**2*q*u + 20*g**2 + 4*g*h*q*u + 4*g*q*u + 12*g*q - 2*h*q - 750*h - 2 wrt h.\nAnswer: g**2*u + 4*g*q*u - 2*q - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24096044, 24096049, 24096058, 24096071, 24096088?\nAnswer: 24096109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1195, -1206, -1205, -1180, -1119, -1010, -841?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -39*l**3 + 2*l**2 + l + 1. Let u be y(2). Let t = -3308\/11 - u. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6419032, 12838062, 19257092, 25676122?\nAnswer: 32095152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1780052 and 24920747\/14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1003788 by -6.\nAnswer: 167298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354468099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006611849319 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - j + 4. Let i be v(0). Let g(o) = o**2 + 3*o + 2. Let w be g(-3). Factor -w - 2*h**4 + i*h**2 - h + h.\nAnswer: -2*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 23 (c) 24 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + 24. What is the greatest common divisor of 60 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4, 0 = -4*q - 5*s + 6 + 10. Is 1\/6 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234279485953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 + 7*n + 11. Let x be (12\/9)\/4*-10*6\/4. What is j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/591100 and 79\/462600.\nAnswer: 10639800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*b + 2*b - 44 = 0, -67 = -4*h + 3*b. Suppose -2*c = 3*w + c - 9, 0 = 5*c + 5. Solve -w*q = -p - 12, 4*q = h - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*2456\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(13\/104)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 4*l + 8 - 10, -2*r + 4*l = 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 - (-6)\/2. Suppose 5*y = 2*a + 18, -5*a + 2 = -2*y + c. Solve -3 - a = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 458 + -208. What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1047 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, 37, 14, -6 in descending order.\nAnswer: 37, 14, -3, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + x**2 - 4 - 8*x**2. Let p(l) = 5*l**2 + 3. Give 3*h(b) + 4*p(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**4 + v**3 - v**2 - 2. Suppose 5*w + f + 2*f = 1, 4*w - 4 = -4*f. Let l(p) = 4*p**4 + 4*p**3 - 6*p**2 - 12. Let i(u) = w*l(u) + 6*m(u). Factor i(r).\nAnswer: 2*r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496760809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2074.919um?\nAnswer: 0.000002074919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - 3*i - i**2 + 0*i**2 - 4*i**2 - 4 - i**3. Suppose 3*m - 7 = 2*x, 0*x - 2*x - 3*m = -23. What is the remainder when j(-3) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 802116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 94. Suppose 3*v + l = -j + 458, 5*j + 5 = 0. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556948056 to the power of 1\/3, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9885024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.1 + 46.1. What is the second biggest value in 4, -3\/8, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 + 6 = 2*x, -4*o = -3*x + 1. Suppose 2*k + 6 = -4*c, 5*c + x*k = -5 - 1. Let z = c - -6. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.3, -0.1, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1974 and 70?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 19*f - 35 + 12 - 2*f**2)*(-22 - 25 - 24).\nAnswer: 142*f**2 + 1349*f + 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 + 354*h - 76. Give k(-71).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -6764?\nAnswer: -33820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllxxxllxxlxllxlxlx. What is prob of picking 3 x?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100 (base 2) to base 13.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000102984 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 + (5 + -3 - 2) + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = 4*x, 1 - 9 = -4*x. Let w(k) = 3*k**2 + 3*k. Let d(m) = -m**2 - m - 2. Let v(n) = -4*d(n) - w(n). Determine v(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 5. Let p(s) = s. Let a(l) = h(l) + 3*p(l). Let o be a(-8). Let q = 0.27 - -0.03. Is q at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.809 + -6.809. Which is the second biggest value? (a) v (b) 0.2 (c) 9 (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7665215 to the nearest integer?\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3033030 (base 4) to base 13.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -2 (c) 0.3 (d) -191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2. Let g be -2 + 6\/4*2. Let n be w(g). List the prime factors of (-8 + -1)\/n - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p. Suppose 10*o + 5536 = 5626. Solve p = -z + o - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5750 * -2\nAnswer: 11500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m*s**3*z**2 + 10*m*s*z**2 - 343*s**3*z**2 + 2*s**2*z**2 - 5*s*z**2 wrt s?\nAnswer: -54*m*z**2 - 2058*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 15*m**3 - 3*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 13. Let r be s(10). Suppose -2*l + 123 = -r. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(20*y**2 - 3*y**3 - 20*y**2).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 3454946*i + 3454944.\nAnswer: 2*(i - 1727472)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 839, 840, 841, 842?\n\"Answer: z + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-1 - ((-3150)\/(-9) + 3). Let b = 414 + n. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n = 537 - 147. What is the smallest common multiple of (57\/15)\/(((-8)\/n)\/4) and 11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 4*h + 6, 6 = 14*x - 12*x - 2*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 1 - 6. Does -1\/17 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -101300 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*i + 1)*(-3 + 6 - 2) - 55 - 15*i + 55)*(-5*i - 6*i + 9*i).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w + 40*w - 69*w + 15*w - 400 as m*w + t and give t.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 5:24 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 - 104. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3860 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a + 8*a - 5 + 6*a + 9*a - 35*a. Let q(w) = 3*w - 5. Calculate 5*l(g) - 6*q(g).\nAnswer: -3*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 3*x**2\/2 + 3. Let u(v) = v. Give u(h(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/3 - 2*v\/3 - 9048 = 0 for v.\nAnswer: -116, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -318 - 17?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -466, 0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m - 24*m - 559*m**3 + 3*m**3.\nAnswer: -556*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(405)*-3 - (0 + (-1 + sqrt(405))**2 - sqrt(405)) - -3*sqrt(405)*1*3.\nAnswer: -406 + 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 8 = 0, -b + 67 = 1617*d - 1624*d - 20 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 735 * 1070\nAnswer: 786450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 10*v**2 - 6*v - 3. Let c(x) = x**3 - 9*x**2 + 5*x + 4. Let a(f) = -3*c(f) - 2*o(f). Give a(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13224 and 487896.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 - 8*f + 26*f**2 - 36*f**2.\nAnswer: -f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -26, -2, 3\/4, -13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/12)\/(207\/8832). Let n(j) be the second derivative of -13*j + 0 - b*j**2 - 1\/27*j**4 + 16\/27*j**3. Factor n(y).\nAnswer: -4*(y - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 40 = n, -2*n + 31 = 5*b - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 61077.784 - 3\nAnswer: 61074.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/32 and 37\/400.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 22115 = -3181. What is the least common multiple of 4 and r?\nAnswer: 12648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/5, 4, 1.5, 1\/9, 1\/5 in descending order.\nAnswer: 4, 1.5, 1\/5, 1\/9, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 386*k + 5096. Give m(-206).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Let i(j) = 32600*j - 2320. Let m(d) = 6520*d - 435. Let f(v) = 3*i(v) - 16*m(v). What is z(f(x))?\nAnswer: 42510400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 794607.4 millilitres?\nAnswer: 794.6074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 190760.\nAnswer: 2098360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*((sqrt(3) - (1 + sqrt(15)\/sqrt(5))) + (sqrt(6)*2)\/sqrt(2))*3 + -2)*6)**2.\nAnswer: -17280*sqrt(3) + 65808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 53*x. Let b(d) = -2*d + 3156. What is b(t(c))?\nAnswer: -4*c**2 + 106*c + 3156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/34*(-29920)\/(-24640)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-12))\/(48\/(-8))*12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13 - 9 = 0. Let j be o + (2 - 4) - -1. Solve 5*c - 10*c = j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 725357077\/3247 - 223393. Let c = n + -380019\/64940. Find the common denominator of -103\/18 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7.88, 7.\nAnswer: -7.88, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose -2*d + 88 = f*d. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52159 is divided by 3284.\nAnswer: 2899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 326, 920, 1980, 3638, 6026, 9276?\n\"Answer: 22*n**3 + 35*n**2 + n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4863340081 to the nearest integer?\nAnswer: 69738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7123536, -14247076, -21370614, -28494144, -35617660, -42741156?\n\"Answer: p**3 - 5*p**2 - 7123532*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.004 smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) + 87827772\/(-66). Suppose -o = 613900 + 176824. Let x = m - o. Round x to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/1102 - 2195\/3306. Which is the nearest to f? (a) 102 (b) 2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*t + 8 - 27 = 0, -5*r + t = -25. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(980))\/(sqrt(4)*1*3).\nAnswer: -28*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let y = 3 + z. What is p in -2 + 2*p**2 - y*p + 2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2390 and 10?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 13 + -3 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a**2 + 32.\nAnswer: 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*o + w - 150, o + 3*w - 65 = 0. Suppose -o = -3*t + 13. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/333376 and -113\/52090.\nAnswer: 1666880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26310106?\nAnswer: 2, 59, 222967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + 0.9. Let s be (-177)\/57 - (1 - (8 + -4)). Let m = -1.3 + 1. Put q, m, s in ascending order.\nAnswer: q, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbhhdddbdhhdhb. What is prob of picking 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*q**2 - 2\/11*q**3 + 0*q + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 30*m**2 - 6*m - 170. Give i(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - r + 985, t = 5*r + 63 + 260. What is the greatest common divisor of t and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-57))\/(1\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -126*q - 65. Is 23 a factor of s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 61, -2\/3, -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-6 - 1) - (-29 - 195\/(-13)). Let g be (-1)\/(-2) + 1\/2. Let r(s) = -s + 10*s**2 - g - s**3 - 13 + 3*s. Give r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 2*h**2 - 4*h - 2. What are the prime factors of g(6)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - -70 - (-2 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 38 = 2*d, 2*a - 5*a - d = -28. Let j be 33\/a + (-3)\/(-9). Suppose -3*u - 1 = j*o - 45, -4*u + 44 = -2*o. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*b + 13, 6 = 2*b + 2*t - 0. Let c = -2864 + 2869. Put c, b, 2, -5 in decreasing order.\nAnswer: c, b, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10799.58 millimeters to nanometers.\nAnswer: 10799580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*h + 21 = -2*c, -4*h = 8. Suppose -c*r + 72 = -r. Suppose -140 - r = -2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**8\/48 + u**4\/6 - 5*u**2. What is the second derivative of d(i) wrt i?\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24289673*g**2 + 115326856 wrt g.\nAnswer: -48579346*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*d + 2 + 4*d as b*d + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 18 = 4*c - 4, 0 = p - 3*c + 7. Determine t so that -t**3 + t + 0*t**p + 1\/2*t**4 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 7 = 0. Suppose -13*b + 18 = -l*b. Suppose -12*t + b*t = -1179. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 3. Calculate the greatest common divisor of 45 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36561696419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 21*z - 1. Let f be i(5). Let c(o) = -o**3 + 17*o**2 + 38*o + 11. Let h be c(f). Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 125 = 5*j. Suppose 2*f + 144 = 4*f + 4*m, -5*f - 3*m + 388 = 0. Calculate the greatest common factor of j and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k**2 - 2*k - 1. Let o be g(-2). Let w be 200\/(-2*o\/(-10500)). Round w to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = 4*o + 14*y + 38, -2*y = -o + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/4 - j. Let d be ((-16)\/(-8))\/((-2)\/(-2)). Let w(b) = 5*b - b - 4*b + 2*b**d. Determine f(w(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 5*f + 5*f + 6. Let x be t(-2). Suppose 0 = 5*b - i + 3, 4 = 4*b - x*i - 0*i. Do b and -4\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 + 13540*n**2 + 40696*n - 135520 = 0 for n.\nAnswer: -5, 2, 3388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 72*m = -71*m - 8, 3*x = -2*m - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -21297*c**3 + 18*c**2 + 36*c + 24. Let g be n(18). Round g to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t. Let i(m) = -881*m**2 - 8. What is i(q(c))?\nAnswer: -7929*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 + -35. Calculate the remainder when r is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = r - 4*h, 5*h = -5*r + 2*r + 154. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442 (base 5) in base 10?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6450 = -5*l - t, 2*l + 5*t - 2*t - 2567 = 0. List the prime factors of l.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 14 - 16)*(-9*g + 0*g - 8*g) to p + v*g and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 11. Let d(i) = -5. Let f be 6\/(-4)*(-4)\/(-3). Calculate f*h(l) + 5*d(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 63.36. Let z = o + 0.74. Suppose -n + 2 - 1 = 0. What is the second biggest value in z, n, 5\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 14. Suppose 8*o - 15 = i*o. Let p(u) = u**3 - 6*u**2 + 5*u + 1. Determine p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.54 times 0.2\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 6*z - 24. Let r(m) = m**2 + 12*m - 48. Let v(s) = -5*i(s) + 2*r(s). Solve v(g) = 0 for g.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -3 - (-1099)\/280. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 906452 + 906452.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/7, 204\/139.\nAnswer: -2\/7, 0.4, 204\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6) + (-3740)\/660\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3))\/(n\/((n\/((n\/n**6)\/n))\/n*n))*n**(-4\/3)*(n*n**(-6)*n)\/n*n assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1080)\/(774\/43))\/(6\/(-18)*3).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118105 + 118105 - 83*a**2.\nAnswer: -83*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/3 + 672*q**2 = 0. Calculate q.\nAnswer: 0, 1008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4673*-0.01.\nAnswer: 46.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*((t\/(t**(3\/4)*t))\/t)\/t)\/(t**(-1\/16)\/t*t*t\/(t*t\/t**(-2\/5))) assuming t is positive.\nAnswer: t**(-229\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p - 13. Let i be (9\/27)\/(2\/18). Let x be d(i). Suppose -x*g = 4*l - 22, 2*g + 4*l = -2*g + 32. What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 15. Let j be w(-7). Suppose -5*c - 4*g + j = 0, 5*c = 4*c + 2*g + 18. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 252418 + 19*t + 252425 - 757265 + 252422.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*q**6 + 1381*q**5 - 3*q**3 - 532*q**2 - 4*q - 5?\nAnswer: -2640*q**3 + 82860*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192*b*l + 5309*b - 483*l**2 + l + 61 wrt l?\nAnswer: -192*b - 966*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7885\/6 at most as big as -2727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvivirvdvd. Give prob of sequence vi.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 49352\/5736 + -5 + -4. Let b = u + 165503\/325518. Find the common denominator of b and -65\/14.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2635841909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -34?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22*c + 4. Let d be x(-3). Let l = -21 + 31. Calculate the highest common divisor of l and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(102\/9 + 1). Is b + 0\/((-3)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-40))\/((-10)\/(-2))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**2 - 8*y - 8. Let u(g) = -8*g**2 + 5*g + 5. Let a(h) = -5*b(h) - 8*u(h). Let r be a(-1). Solve -q + 1 = r*d, -6*d = -d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 513*p**4 + 497*p**4 - p + (0*p**2 - 2*p**3 + 0*p**2)*(2*p + 0*p + 5*p).\nAnswer: -30*p**4 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*w - 135, -4*b + w - 5*w = -100. Let c = b - 208\/7. What is the closest to 1 in 4\/7, -1\/5, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210014.\nAnswer: 2, 211, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/310 and 5\/5859?\nAnswer: 58590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 17. Let w(b) = -b**2 + 14*b - 29. Let r be w(12). Let j be f(r). Solve -4*c + 2*c - j = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1160 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 752 and 2662832?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 47.71716 years?\nAnswer: 4.771716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-46) + 528\/6072?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -486644*n**3 - 3038*n + 51?\nAnswer: -2919864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*l + 269*l - 131955 = 160*l - 26915 for l.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -3*a**3 + 2*a**2 + 3*a - 3. Let h(o) = -13*o**2 + 6*o + 4. Give 5*h(r) - 7*i(r).\nAnswer: -2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23292?\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 11*m**2 - 9*m + 12. Let o be (1 - -3 - 2) + -12. Let y be a(o). Sort 2\/5, y, -1\/8 in increasing order.\nAnswer: -1\/8, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:51 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1236 + -21?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20361638, -20361637, -20361636, -20361635, -20361634?\nAnswer: -20361633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/11)*h**3*(h**2)**(-31)*(h**(3\/5)\/h**0)**(2\/13) assuming h is positive.\nAnswer: h**(-42184\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2802943 and 71\/1940499.\nAnswer: 25226487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 4690*z**2 + 144075*z - 1089000.\nAnswer: -5*(z - 15)**2*(z + 968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 9530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u - 3*u)*(-5*u**3 + u**3 - 2*u**3)*(1 - 3 + 3).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clxn when four letters picked without replacement from nxhnhhnccnhcchulccnx.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10782*(-3 - (0 + -2)). What are the prime factors of h\/((-54)\/9) - 8?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 + (87 - (-72 - -33))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -4. Let n = 192.2 + -192. What is the nearest to -1 in n, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 0*k**3 + 277*k**2 - 271*k**2 + k**3. Determine o(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241997\/60 - 19516\/5. Let f = 130 - u. What is the common denominator of f and -19\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -873 + 409. Let p = o + 462. Sort -24, -1\/3, -4, p.\nAnswer: -24, -4, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 40 + 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 24 = 3*c - 8*c, 3*c - 3*s = 24. Let n be 366\/18 - 2\/6. Let t(x) = -x**2 + 11*x - 10. Let k be t(10). Solve c*q = -k*q - n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1448 and -102.3?\nAnswer: 102.1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 308678.7ml?\nAnswer: 308.6787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((8 - 29) + 21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + sqrt(2736)*2 + sqrt(2736) + 1)*6)**2.\nAnswer: 3456*sqrt(19) + 1575972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - i. Let f(h) = -8*h**2 + h. Let r(q) = -f(q) + n(q). Let m(b) = 3*b**2. Calculate m(r(x)).\nAnswer: 147*x**4 - 84*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**22*x**(3\/2)\/(x**(-1\/11)\/x) assuming x is positive.\nAnswer: x**(1025\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 28. Let x(u) = -12*u**2 - 9*u**2 + 59*u**2 - 10*u**2 - 11*u**2. What is x(n(q))?\nAnswer: 68*q**2 + 1904*q + 13328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-6)\/(-27))\/((-200)\/(-360)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s**2 + s + 1274. What is the tens digit of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 9*z + 8*z**2 - 1 - 2*z. What is the remainder when x(2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -2*g**5\/5 + 16*g**3 - 87*g**2\/2 - 38. Find the second derivative of k(r) wrt r.\nAnswer: -24*r**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + t**3 - 3*t**3 + 7*t**2. Let x be l(7). Suppose -3*j = 4*k - 99, 3*k + 3*j + 8 - 80 = x. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*j = -0*j - 35, 0 = 4*q + 2*j - 26. What is the units digit of q + -8 - 32\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -441441*h**3 + 882876*h**2 + 12*h.\nAnswer: -3*h*(h - 2)*(147147*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5043171.\nAnswer: 3, 7, 240151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/22464 and -149\/191568.\nAnswer: 6896448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/2 - 141681*k\/2 + 850302 = 0. What is k?\nAnswer: -47239, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-4))\/(((-10)\/(-15))\/(172\/129)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**3\/2 + 4*y**2 - 2*y - 707. Let x(n) = -2*n - 2. Let v be x(-5). Let r be o(v). Is -44\/3 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -b705?\nAnswer: b701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 2*a - 0*a, -p = -3*a - 17. Let q(b) = -b - 4. Let t be q(3). Calculate the smallest common multiple of 1 and a\/(t\/10) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = d, 0 = d - 2*v + v. Suppose d = -5*b + 13 + 2, 5*s - 71 = -2*b. What is the greatest common divisor of 143 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*k - 132, -134 = -s - s - 3*k. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*o + 41 = 0, 8*o - 46 = -3*j + 3*o. Sort -5, j, 4, -4 in descending order.\nAnswer: j, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**3 - 3*b**3 - 2*b**3)*(-1 + 0 + 2) - 13*b**3 + 6*b**3 - 142*b**3 to h + a*b + j*b**2 + r*b**3 and give r.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4144\/420*(-57)\/38*(-15)\/3?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 1211*r + 57822.\nAnswer: -(r - 46)*(r + 1257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2574 and 2808.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvvdv. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1481190483*g**2. Let x(z) = 2*z. Calculate x(n(j)).\nAnswer: 2962380966*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47652 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z + 2122848 = 225*z + 77*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 42*n + 7 - 43*n + 2 + 7. Let k(m) = 4. Give 2*h(r) - 9*k(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1532 * -0.13\nAnswer: 0.019916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 9*t**2 - 253*t - 1238. Let x be v(-5). Sort -3, -5, -15, x, 7.\nAnswer: -15, -5, -3, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -0.5, -0.08, -0.096?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16549 - 16277.36. Let c = g + -269. Round c to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 27*o**2 - 4*o - 311. What is i(-27)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 964 + -969. Which is the closest to 0? (a) h (b) 3.8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/20 + r**4\/8 - 11*r**3\/6 + 75*r**2. Let t(v) = 2*v**2 + 2*v - 6. What is 4*a(s) - 7*t(s)?\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*m - 33890 + 4193 = 3333 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3750\/(-500)*(-24)\/234\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:02 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -g + 8, 4*x = -6958 + 6970 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 606 = 22*c + 510 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:23 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.003.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13537790*v - 107. Let z be a(9). Suppose -15 = 5*y, s - y - z = -3*s. What is s rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u + 5*i = -20, 0 = 5*u - 5*i - 20. Let o be 2\/7 - (-64)\/(-28). Let f be 1*5\/(o + 1). Put -4, u, f in decreasing order.\nAnswer: u, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 - 68*l + 84*l - 61*l wrt l?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*5\/(-30)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*q - 314 - 978 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 21*h = 7562. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -151?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/130)\/(-4))\/((-11)\/(-5))*3487\/(-1585).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1732537169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15745, -31497, -47203, -62827, -78333, -93685?\nAnswer: -108847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7735 (base 11) to base 12.\nAnswer: 5aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188223 = -3*j - 2358. Let l = j - 30755. What is l rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 32613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 91\/4 of a hour?\nAnswer: 81900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 10 = 2*r, -2*v - 685 = -5*r - 660 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -155008, -310029, -465064, -620119, -775200, -930313, -1085464?\n\"Answer: -c**3 - c**2 - 155011*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333836, 333886, 333936, 333986, 334036?\nAnswer: 334086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/67 - 92\/469. Sort f, -2, -1, 4\/7.\nAnswer: -2, -1, f, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -905 - -895. Let f(k) = k**2 + 12*k + 1. Give f(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 17*g - 3*g. Suppose -g*y + 994 = -276. Let x = y - 174. 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 m be 45\/(-20)*(2 - (-30)\/(-9)). Let j(x) = -7*x - 3. Determine j(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1267300 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:44 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1279 - 1200.12. Round w to the nearest integer.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001100000011010010 (base 2) to base 7\nAnswer: 2435116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 14 = -z, -3*a - 4*z = -6*a - 49. Is a > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.69 and 1450877855.\nAnswer: 1450877862.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(4*j + 0*j - 5*j) - j + 0 + 0 + 15*j + 10 - 10)*(5*j - 2*j - 2*j).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1678214, -6712882, -15104000, -26851568, -41955586?\n\"Answer: -1678225*v**2 + 7*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9667, 77304, 260875, 618340, 1207659, 2086792?\nAnswer: 3313699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + z**3 - 19 + 0*z**2 + 0*z**2.\nAnswer: z**3 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -1dc6b7?\nAnswer: 1dc6ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -2\/17 (b) 2\/3 (c) 518 (d) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suurtkt. Give prob of sequence ruus.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 1. Let i(v) = -52*v - 9. Let g(x) = 3*i(x) - 24*w(x). What is g(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1 - 0)*-37. What is t rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(49) + sqrt(441)\/sqrt(9)*-1 + sqrt(49))*3)\/((-2*4*sqrt(84))\/sqrt(12)).\nAnswer: -3*sqrt(7)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b + 32*b + 8*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*40415\/(-110) + 2\/(-11). Is 30 a factor of (-1)\/(-2) + (g\/(-2))\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -133, -341, -887, -1933, -3641, -6173, -9691, -14357?\n\"Answer: -27*s**3 - 7*s**2 + 2*s - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -148563.9, -6?\nAnswer: -148563.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86055.01t in milligrams?\nAnswer: 86055010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/13 + 82\/(-26). Which is smaller: n or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -294, -589, -884, -1179, -1474?\n\"Answer: -295*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -204, -4 in increasing order.\nAnswer: -204, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*r + 2*r + 4*r)*(-2 + 1 + 2) - 2*r + 6*r - 2*r)*(-18*r - 26*r - 46*r) + r**2 - r**2 - r**2.\nAnswer: -271*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1.3, 3, -2\/9.\nAnswer: -1.3, -2\/9, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-77)\/(-210) + 46\/12 + -4. Find t, given that -q*t**3 - 2\/5*t**2 + 0 - 1\/5*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37617, 75234, 112851, 150468?\n\"Answer: 37617*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-27)\/6 + 4). Let n be m\/2 - (-1)\/(6\/(-10497)). Is 1\/9*-3*n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Suppose -m*a + 3 = 0, a = 4*i + 5*a - 700. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a factor of 301776956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -702929\/30830 - -1\/6166. Which is the biggest value? (a) t (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(77) - sqrt(77)*1)*-5)\/(sqrt(14)\/(sqrt(2) + (sqrt(98) + (sqrt(98)*1 + sqrt(98) - sqrt(98)) - sqrt(98)) + sqrt(98) + sqrt(98))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 2 d when four letters picked without replacement from qqzqqrrodqddzoqz?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 127881\/4, -2\/3, 17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/(-8) + 4\/24*-3. Let c be (b\/30)\/(1\/12). Let m(g) = -g**3 + 4*g**2 - 5*g - 9. What are the prime factors of m(c)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*g + 20 = -7*g, -4*c + 3*g - 51 = 0. Which is smaller: c or -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -352*s + 36608. What is z(109)?\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-6)*h)\/h)**(-5\/2)*(h*h**4*h*h)**(-4) assuming h is positive.\nAnswer: h**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 1 + 5. Suppose -k = -5*b + 18, 2*b + 0*b - 12 = h*k. Solve -5*n = -d - 16, -b*d - 2*n = -4*d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19390657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 523*y**4\/4 + 2*y**3\/3 - 9931*y**2\/2 - 5949*y + 1. What is the derivative of j(r) wrt r?\nAnswer: 3138*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-22) - 1) + (-1104)\/(-264)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/((q\/((q**1\/q)\/q*q)*q)\/q)*q\/((q*q**(2\/37))\/q) assuming q is positive.\nAnswer: q**(72\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.85059774 to 2 decimal places.\nAnswer: 28.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 66. Let d(z) = 3*z + 32. Let f(q) = -13*d(q) + 6*p(q). Let u be f(-2). Calculate the greatest common factor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4)\/(6\/(-22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/12 - u**3\/6 + 5*u. Let n(w) = -4*w**2 - 5*w - 1. Let a(c) = 2*n(c) - 10*s(c). What is x in a(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 706923 divided by -2061\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6390733 (base 12) in base 8?\nAnswer: -107720427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*k = 99*k + 28. Solve -4*b - 3*f = k - 3, 2*b - 1 = -3*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174406621 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2400102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 + 455*q.\nAnswer: 455*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3582751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 582, 2349, 5280, 9363, 14586, 20937, 28404, 36975?\n\"Answer: -2*t**3 + 594*t**2 - t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*s + 13. Suppose -5*o = -3*o - s. Suppose -o*h + 90 = -h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/20 + 675*h**2. Let i(c) = 2121*c**2. Give r(i(v)).\nAnswer: 13495923*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:01 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 85 = -8*x. Suppose 4 = -x*r + 184. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(58560\/91378) + (-1)\/30\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssvzszfvssvsfmzmvm. Give prob of sequence mss.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 62, 133, 246, 413, 646, 957?\n\"Answer: 2*r**3 + 3*r**2 + 18*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1022021001 (base 4) to base 5\nAnswer: 34204211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -26*z**3 - 2*z**2 - 3*z - 30. Let x(n) = -53*n**3 - 3*n**2 - 5*n - 60. Let h(k) = 10*v(k) - 6*x(k). What is the third derivative of h(l) wrt l?\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -20259?\nAnswer: -20271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18684 divided by -9342.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*a**3 + 68 + 630*a**3 - 107 + 26*a**3 with respect to a.\nAnswer: 2310*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -30.9. Suppose -45 = -3*z - 2*z + 4*v, 1 = 2*z - 5*v. Let k = z + -17. Which is the third biggest value? (a) k (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**3 - 5*h**2 + 4. Let m(l) = -21*l**3 - 24*l**2 + l + 22. Give 11*c(r) - 2*m(r).\nAnswer: -2*r**3 - 7*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-15) - 9\/(90\/(-16)). Solve -5*i = -x*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(104) + sqrt(104))*5 + 2*sqrt(104)*-1)\/(sqrt(72)*-2*3 - -3*(sqrt(72) + sqrt(72) + (sqrt(72) + 1*sqrt(72) - sqrt(72)) + sqrt(72))).\nAnswer: 13*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*m = -59, -5*m - 31 = f - 5. Let a be (-44)\/(-6)*f\/(-14). Solve -a*d + 8*d - 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:58 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -18. Suppose 0 = -0*z - q*z - 16. Which is the second biggest value? (a) -2 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/125 and 31\/7375?\nAnswer: 7375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4862 and 3516942?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55596197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 149 = 3*p. Suppose -r + p = -0*r. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -56, 5 in descending order.\nAnswer: 5, 3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -193*u. Let b(a) = -a. Give l(b(z)).\nAnswer: 193*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (0 + -21)) + -4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -22\/361, -10, -1\/6, -0.09, 0.2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/70)\/((-1533)\/(-730))?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1.66, 27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1045)\/(-1463)*1\/5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/6 + 5*r**2 - 8*r. Is w(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Solve -2*x = -4*x - 10, -x = p*j + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -241184 in -2, 2\/5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.265157 or 825?\nAnswer: -0.265157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 50.8.\nAnswer: 51.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272598 is divided by 2144?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-16))\/3*50*(7 - 84\/7)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -160, -1, 0 in decreasing order.\nAnswer: 3, 0, -1, -2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -0.22, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12693534.\nAnswer: 2, 3, 7, 302227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -54 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*19\/((-665)\/7)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37, -114\/11, -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*4\/(-40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(240\/64 + (-4 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2 - sqrt(11)) + 5 + sqrt(22)\/(2*sqrt(2)) + 4.\nAnswer: 3*sqrt(11)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 1, 5, 0 in decreasing order.\nAnswer: 30, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1216.14 times -0.1?\nAnswer: 121.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23198671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -4*n + 96 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.9 + -7. What is the closest to g in 1, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/49*21\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 49.61618 hours?\nAnswer: 178618248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r - 24 + 26 - 6*r + ((3 - 4 - 1)*(3 + 0 - 5) + 2 - 1 + 1)*(-7*r - 20*r - 19*r).\nAnswer: -294*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19851\/5 - 3970. What is the closest to 0 in 0.019, h, -1\/7, 0.1?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6473, 12671, 18667, 24461?\nAnswer: 30053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Let g(j) = -1 + 18*j - j**t - 39*j + 20*j. Let s(u) = -2*u - 41. Let h be s(-18). Let b(c) = 6*c**2 + 3*c + 5. Determine h*g(d) - b(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 5*m - g - 0*g, 0 = -m - 4*g + 50. What is the lowest common multiple of 77 and m?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-60))\/((-30)\/(-32)*2)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m**2 + 6*m. Let h be ((-133)\/266)\/((-1)\/26). Let c(a) = 19*a**2 + 13*a. What is h*w(f) - 6*c(f)?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -6*g + 86. What is the greatest common divisor of 88 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20*1 - (-2 - -3). Let o be y*(-2 + 3\/1). Suppose 0 = -2*k + 7 + o. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + r - 6. Let w be u(3). Suppose 2*z - w = -3*n, 2*n + 5*z = 9 + 12. Suppose -n*v - 2*v = -185. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*u*w**3 - 45508662*f**2*w + f*u*w**3 + 8348*f*u*w - 5*f*u - 28*f*w**3 + u wrt f.\nAnswer: -2*u*w**3 - 91017324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u. Let y(j) = j**2 + 2*j - 5. Let h be y(-4). Suppose 0*o + 9 = 3*k - o, -h*o = -4*k + 17. Let w(l) = 8*l + 0*l**k - 2*l**2 - 8*l. What is a(w(f))?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312281675?\nAnswer: 5, 132491267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 2983401 and 0.01.\nAnswer: 2983401.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1029? (a) 0.5 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.1 - 12. Let j(z) = 249*z + 1. Let p be j(-1). Let k = p + 1244\/5. What is the nearest to d in k, -3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-416)\/3120*(-1)\/(5\/(-18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418 - 282 = 71*j - 21*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 9*o**2 - 5. Let z(c) = -c**3 + c**2 - 1. Give f(j) - 5*z(j).\nAnswer: 3*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -8146?\nAnswer: -51\/8146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -319895*p*x**6 - 6*p*x**3 + 309*p*x**2 - 17*x**2 - 15*x + 6 wrt x.\nAnswer: -38387400*p*x**3 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -22. Let a be -41*(c - -1)\/1. Let o = a - 76. What is the remainder when 35 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1933 smaller than -1932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l - 2. Let t(d) be the second derivative of 7*d**3\/2 - 3*d**2 - 120*d. What is 17*c(f) - 6*t(f)?\nAnswer: -7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/3)\/(-5))\/((-2)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -1 + (-1 - -2). Suppose -64 = -r*v + 278. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*p - 2*d + 100, 5*p + 2*d - 123 = 0. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4435, -10194, -17253, -25606, -35247, -46170?\nAnswer: -58369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*t = -61*t - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f - 2. Let y be r(-3). Let l = y - 16. Let k be 1 + (l - 2\/(-2)). Solve 9*g - 4*g = -k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**(-3\/5)*k)*k))\/(k*k**35)*k**(-23)*k*k\/k**(-41) assuming k is positive.\nAnswer: k**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 263190*j - 3463448805.\nAnswer: -5*(j - 26319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1100)*1*2)**2 + -4 + ((sqrt(1100) - sqrt(1100)*-1)*6)**2.\nAnswer: 197996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7950569 and 2299.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 992 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 27 = -2*l, 4 - 27 = 2*l - 5*v. Solve -c + 2 + l = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(68)*3 + sqrt(68) + -3 + sqrt(68) + -1)**2*-6.\nAnswer: -10416 + 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257265902?\nAnswer: 2, 23, 29, 192853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((16 - 6) + -9 + -9 + 13 - -2) + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2.8 (b) -78 (c) -2 (d) -5 (e) 4\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 101*c + 444 - 201 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5239 + 241*s**3 + 10545 - 5306.\nAnswer: 241*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*d**3*i*m**3 - 135*d**3*m**3 - 33*d*i*m**3 - 2*d*i*m**2 + 4*d*m**2 + 141*i*m**3 + m**2 wrt d.\nAnswer: 510*d*i*m**3 - 810*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q. Let l(t) = -2*t**2 + 2*t - 2. Let y(k) = -4*k**2 + 6*k - 5. Let i(z) = -5*l(z) + 2*y(z). Let r = 38 + -40. Calculate r*i(n) - 5*s(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 677520?\nAnswer: 7452720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-3) - -326) + 4. Let t = 54 + -21. What is the greatest common factor of t and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366, -693, -1006, -1299, -1566, -1801, -1998, -2151?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9092 - 9092. Which is smaller: -6\/6067 or z?\nAnswer: -6\/6067","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22475, -138 in descending order.\nAnswer: 2, -138, -22475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(2\/15). Suppose -3*q - 42 = -n*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307400 + -307400.0000149933. What is q rounded to seven decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -0.88 (c) -2 (d) -50\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t - 11 + 22*t + 11.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4) - (-2160)\/576?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Let k(z) = -7*z + 1. Let d(o) = 6*o - 1. Let x(n) = 5*d(n) + 4*k(n). Determine x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.7. Let i = 2.5 + -2. Let q = v - i. Which is the closest to q? (a) -0.5 (b) -2\/15 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2786*o + 1076*o + 225*o - 818*o.\nAnswer: 3269*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19847284313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69306088\/201 - -344808. Let j = i + 5\/67. Find the common denominator of -47\/2 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 5519\nAnswer: 2207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 1 - (-101 + 163)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3069*m**3 - 3070*m**3 - 20*m + 2*m - 9*m**2 - 2*m**2 - 13 + m**2. Calculate g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5778 divided by -3?\nAnswer: -1926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -840*p + 1187*p + 1233*p to v + o*p and give o.\nAnswer: 1580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727816 divided by -1?\nAnswer: -4727816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 15. Suppose -2*a + p - 3 = 0. Solve 0*s = s - a*m - 12, -5*s - 2*m - 28 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 17 - 71 - 162*t**2 + 163*t**2 to q + j*t**2 + s*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.2, 0.5, -0.46, -7\/5.\nAnswer: -7\/5, -0.46, 0.5, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5645 - -12034. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.075082 and 59.\nAnswer: 59.075082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*v = 35 - 5, 4*v = -u - 9. Let f be (-35874)\/(-165) + u + 135\/25. Let n = f + -218. What is the second biggest value in -7, n, 4, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (30 - 26) + -1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 359 + j - 359. Let a(i) = 28*i. Give k(a(u)).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011100 (base 2) to base 7.\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38666.833 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -43507*m - 43505. What is b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 22*a - 12. Let j be u(10). Suppose -j*s = 7 - 15. What is the greatest common factor of s and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.804 + 1.004. What is the smallest value in 277, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 5:35 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5 - 34*g**3 - 177996*g**2 + 33943151*g?\nAnswer: 40*g**3 - 204*g - 355992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 96 - 15)*(-3*o**2 + 49*o - 3 - 49*o) to a*o**2 + n + p*o and give n.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {k: 2, o: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43816?\nAnswer: 2, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -45. Suppose -55*n - 6 = -t*n. Find the second derivative of -15*c - 104*c**2 - 8*c**3 + 104*c**n wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*y, 28*j - 104*j + 26*y = -30*y + 52*y - 416 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a*a*a\/(a**0*a))))*a\/a**5*(a**(-1\/4))**(1\/4))\/((a**(-1))**(-1\/23)*a**(-3)*a**6*a) assuming a is positive.\nAnswer: a**(-3351\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 6:49 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (8 - -2) + -4 - 11 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7042)\/(-70) - 2\/10. Let o = 100 - u. Which is the closest to -1? (a) o (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23240, 46472, 69704, 92936, 116168?\nAnswer: 139400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 74*v + 298. Let r be s(-4). Suppose r*w + 4 = 24. Solve 6*c - w = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -713.04 + 713. Sort 2, c, -1\/3, -5 in descending order.\nAnswer: 2, c, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 1691*y - 2*y**2 + 4213*y + 2*y**2 + 4*y**2 as q + s*y**2 + h*y and give h.\nAnswer: 2522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1.09.\nAnswer: 2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57\/5 of a millennium?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-36)\/(o\/(o*(o\/(o**(-1\/12)\/o)*o*o)\/o)))\/(o\/o**(-25)*o*o*o)**(1\/45) assuming o is positive.\nAnswer: o**(-6041\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/46)\/(1*(-8)\/32)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o**3 + 302*o**2 - 414*o + 9053. Give u(25).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 12508250*c + 12508255 = 0. Calculate c.\nAnswer: -1, 2501651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 smaller than 736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + l)*(-3*l**3 + 5*l**3 + l**3) + (8*l - 3*l - 2*l)*(2*l**3 - 4*l**3 + 0*l**3) as s + w*l + z*l**3 + n*l**4 + m*l**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -19 + 1. Suppose 9*n = 4*n. Suppose n = d*i - 41 + 8. Let y(a) = a**3 - 4*a. Let h(v) = -5*v**3 + 21*v. What is i*y(r) + 2*h(r)?\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -286c89 + 3?\nAnswer: -286c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z**2 + z - 1. Let u be y(1). Suppose -3*w = -w - s - 7, 3*w - 5*s = -u. Let o = 9 - w. Solve 5*m - g + 11 = 0, 4*g - o*g - 7 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 12*z**2 - 15*z + 31. Determine u(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 15, 21, 0.11 in decreasing order.\nAnswer: 21, 15, 0.11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 1. Let t be s(-5). Does 11 divide (33\/t*6)\/((-6)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide (12*(-7)\/(-98))\/(4\/54866)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.48138 rounded to 1 decimal place?\nAnswer: -163.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 6, k: 3, t: 1}. Give prob of picking 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*c - 16 = 0, -39*c - 2567 = 5*s - 2889 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 21. Let l be f(-8). Let v be ((-1)\/l)\/((-3)\/((-27)\/2)). Which is the fourth biggest value? (a) -1\/4 (b) v (c) -3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f + 70000 = -27*f. Is 100 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u + 29 = 0, 5*g + 2*u = -41 - 53. Let c = g + 39. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5107*k - 10204*k + 5130*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -1\/360*u**6 + 1\/15*u**5 + 0*u + 0 - 2*u**2 + 1\/24*u**4 + 0*u**3. Let y(i) be the second derivative of d(i). Determine y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/88528 and -16\/495.\nAnswer: 3983760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 9 - (2 - (-2 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:41 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtrx when four letters picked without replacement from prtxxvxrxxrprrxrvp?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58083, 116310, 174539, 232770, 291003, 349238, 407475?\n\"Answer: p**2 + 58224*p - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + v + 175 - 7 = 0, 3*t = -9*v - 17*v + 22*v - 97 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192*-98.3.\nAnswer: 18873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4 + 22 - 6*b**2 - 1 + 9622*b**3 - 11*b. Let a be n(7). Round a to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 14*o + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by -1 + 6 - 4 - (-3 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*y**3 - 2*y**2 + 44297*y - 29033579.\nAnswer: 12*y**2 - 4*y + 44297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 960 in 33, 1\/4, -0.2?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.50056 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -48, -89, -156, -255, -392?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/59363 or -1?\nAnswer: 11\/59363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 59*w**2 + 3*w - 5. Let r(u) = 303*u - 3. What is b(r(i))?\nAnswer: 5416731*i**2 - 106353*i + 517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/8*-24)\/(24\/(-16)). Solve -f = -s - 53 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -898772.6 - -898772.632899948. Let y = 0.0329 - s. What is y rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and 49\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 9, 1.4, 1, 5, -1646, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -90, 5, 2\/25, 16571?\nAnswer: 16571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 2, u: 6, d: 3, j: 1, b: 1}. What is prob of sequence dtdd?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130*v**4 - 125 wrt v.\nAnswer: 520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106701 is divided by 13336?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5010 and 270.\nAnswer: 45090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q + 29*q + 26*q)*(2 + 1 - 4).\nAnswer: -46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 48300?\nAnswer: 1400700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -18. Suppose 0 = -3*c + 7*c + 4*m - 4, -3*c = -m - 7. Suppose -3*y = c*y - 10. What is the highest common divisor of t and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -185\/3 = -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 226841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -41, 0, -4 in descending order.\nAnswer: 1, 0, -2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 1905*y**4\/4 + 2*y**3\/3 - 49*y**2\/2 + 2*y - 2105. Find the second derivative of t(j) wrt j.\nAnswer: 11430*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2553344 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -2\/5, -2\/9, 2, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/13 - 954*j**2\/13 - 151686*j\/13 - 8039358\/13 = 0. Calculate j.\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1)\/(4\/(-10)). Suppose -2*o + 0 + 5 = u, s*o - u - 30 = 0. Let h = -0.4 - -0.5. Which is the closest to h? (a) 2 (b) o (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*c - 3*c + 7*c)*(-4 - 1 - 1) - 4*c + 0*c + 2*c.\nAnswer: -692*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 c when three letters picked without replacement from tmtqvmqctttvtmvttct.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -29*y + 6*t + 113, -t - 114 = 3*t - 30 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*t - 2*t - 114, -8 = -2*t. Let c = -24 + 42. Let f = i - c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89562835 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 8*g + 4*g)*(3 - 4 + 4)*(4*g - 5*g + 3*g).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -816211 or -816210?\nAnswer: -816211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2. Let h(z) = 46*z**2. Give x(h(p)).\nAnswer: -6348*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpp when three letters picked without replacement from wqqwwqqqpqwwhhqqpqqj?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3. Let r be 3\/(-9) - 362\/(-6). Let b = -301\/5 + r. Put b, s, -1 in descending order.\nAnswer: b, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(5) + 1 + sqrt(245) + sqrt(245)))**2.\nAnswer: 1080*sqrt(5) + 40541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -849 - -852. Let s(l) = 6*l**3 + 95 + 2*l**3 - 96. What is the remainder when s(1) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35684638 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -52, -64, -74, -82, -88?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7218.340669 - 0.5.\nAnswer: 7217.840669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 127*u - 2487. What is g(20)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 + 17*f**3\/3 - 11*f**2\/2 + 5*f + 8. Suppose -5*x + 13 = 93. Is z(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + i - 81, i - 47 = a - 8. What are the prime factors of (-6558)\/(-34) + a\/(-357)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - n**3\/2 + n**2\/2 + n\/3.\nAnswer: -n*(n - 1)*(n + 2)*(2*n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4\/7 + 1488*p**3\/7 - 187461*p**2\/7 + 730620*p\/7 - 544644\/7 = 0 for p.\nAnswer: 1, 3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 22672*r - 431129.\nAnswer: (r - 19)*(r + 22691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.542650541 rounded to three decimal places?\nAnswer: -19.543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760 - 1916 = -4*j. Suppose -18*k = -j*k + 84. Factor 25\/2*d**3 + 0 + 15\/2*d**k + 0*d + 5*d**2.\nAnswer: 5*d**2*(d + 1)*(3*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.017785*23\nAnswer: -0.409055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/57800 and -5\/408.\nAnswer: 173400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*1152\/(-216)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 670*m + 953 with respect to m.\nAnswer: 670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 3. Let x = o - 11. Let g = 70\/29 - 292\/145. What is the third biggest value in -21, g, x?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -127 + 68 + -67\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -768, -1639, -2860, -4431, -6352?\nAnswer: -8623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 122*d - 120*d - 4, -12*f + 8*f - 32 = 4*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -231. Let p = 182.8 + o. Which is the nearest to p? (a) -3 (b) 2 (c) 5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + m = -5, -30*m + 33*m + 15 = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*p*s + c**2*p - c**2*s + 95*c**2 + 2*c*p*s - 2*c*p - 2*s + 1 wrt s.\nAnswer: 4*c**2*p - c**2 + 2*c*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2394621 and 14\/33?\nAnswer: 26340831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*m = 24787, 2*p = -2*p - 4*m + 33092. Suppose 5*t - 6*v + 2*v = p, 1677 = t + 5*v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t + 1. Suppose 5*p + 5*q + 6 - 41 = 0, 3*p + 2*q = 16. Is t less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261784 divided by 4.\nAnswer: 65446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 - 8*v + 8. Let c be n(-7). Let i = c - 5. Find the second derivative of -i + 6 - w + 4 + 5*w**3 wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 12*z**2 - 13*z + 22. Let c be k(11). Let v(n) = 11*n**3 + c*n**3 + 11*n**3 - 12*n**3 + n**2. Let j be ((-1)\/(-1)*-1)\/(-1). What is v(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1762.016 nanograms to micrograms.\nAnswer: 1.762016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*q - 5*q. Suppose i = 4*i + q. Calculate the common denominator of 147\/(-30) + (-1 - i) and 53\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Let h be 6\/(-4) - 6\/(-4) - 0. Suppose 5*s - 4*o = 16, h*s + o - 9 = -a*s. Solve -5*d - 10 = 0, s*d = -5*n - d - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 2*m - 7*m + 40 + 24*m - 11*m - 7.\nAnswer: -2*m + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35507428 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 64 = -z, 0 = 2*r + 2*z - 0*z + 28. Let k = -11 - r. Suppose 3*b - 13 = k. Do 5 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (90\/(-135))\/((16\/78)\/2)*(-4092)\/13299. Determine d, given that -1\/4*d**3 - 10 - 81\/4*d - 21\/2*d**f = 0.\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2155 times -190.6\nAnswer: -410743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 5*a - 3*z + 1778, 894 = 2*a + 4*z. Suppose -15*c = -a - 457. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-100)*168\/60*10 and 119\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -1*(3 + 10). Let u = i - -32. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 - 2*t**2 - 10*t - 7. What is the hundreds digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymyymyyyyyymm. What is prob of picking 2 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.1 - 12.1. Let q = -3.6 - 55.4. Let m = q + o. Is 2 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6957132 and 25509484?\nAnswer: 76528452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120097 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:22 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g - 7*g + 14*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:06 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 9*w + 1. Let l be y(-1). Let t = 4 + -4.2. Let u = 2.2 + t. Which is the closest to 1? (a) u (b) l (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Suppose -x - 1 = 0, 7*z - 6*z + 2*x + 2 = 0. Suppose z*v = -3*v + 3*y + 3, 3*y = 2*v + j. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 15476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 114886643?\nAnswer: 919093144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 176. What is b(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-3\/4))*p*p*p**1)**18 assuming p is positive.\nAnswer: p**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123.7 + -115. Let g = 9 - z. Let i = g + -0.8. What is i rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -12. What is the highest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -556.397 - -514.397. Let m = -0.4 - -5.4. Which is the second biggest value? (a) w (b) -5 (c) m (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {e: 6, i: 1, g: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-21)\/w*w)\/w**(-32))\/(w**(-11))**(2\/103) assuming w is positive.\nAnswer: w**(1258\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/15)*q**(-26))**(-2\/3) assuming q is positive.\nAnswer: q**(746\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/(1\/(-55)). Suppose -52*v + 61*v = 0. Suppose v = 5*b + o - 205. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 - 2)*(p - 8*p - 7*p) - 4*p - 3*p + 6*p)*(-p + 3*p + 3*p) + (0*p + 3*p - 5*p)*(0*p + 0*p + p) + 0 + 0 - p**2 + 2*p**2 - p**2 + 0*p**2.\nAnswer: 343*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 874572*n**3 + 47801700348*n**2 - 334644262300*n + 573693870000 = 0.\nAnswer: -109325, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 - 517 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(833).\nAnswer: -7*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 967815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3345 divided by -79.\nAnswer: -3345\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -255*z**2 + 10195*z - 3530. Let s(f) = -45*f**2 + 1800*f - 623. Let k(j) = 40*s(j) - 7*x(j). Find r, given that k(r) = 0.\nAnswer: 1\/3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1710 = 9*q - 39*q. Solve q = 87*r - 204 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:46 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) - (-1*sqrt(66) - sqrt(66))) + (sqrt(66) + sqrt(66)*2)*-4)\/(sqrt(42)\/(1*sqrt(7)) - ((-1*sqrt(6) - sqrt(6))*-2 + sqrt(6))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521 (base 13) to base 9.\nAnswer: -1168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 4. Let v be w(-4). Suppose -f + 1784 = 2*j - 177, -4*j - 5*f + 3907 = v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/1236*152\/(-76)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let c be 2 + 0 - 2\/(f + -1). Find the second derivative of -s + 4*s**c + 41 - 6*s - 41 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0803 - -0.0303. Let n = 60 - 50. Is n != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.18, 150, 4?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -151561 and 3.5812366.\nAnswer: -151557.4187634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 10) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46581 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -830 + 873. What is the second derivative of w - 62 + 130*x**2 + 17 + x**4 + 85*x wrt x?\nAnswer: 12*x**2 + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-6)*(1 + -1). Suppose -c - c = k. Suppose 0 = -2*b - c*b. Solve b = 4*v - 2*q + 16, 0 = 4*v - 0*q + q + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a584 (base 13) in base 12?\nAnswer: -11323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 - 8*x - 20 = 0. Calculate x.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 886438597 to the nearest integer?\nAnswer: 29773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30273\/26455 + 6\/5291. What is the common denominator of f and 101\/160?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3521470 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13640113980 to the nearest 1000000.\nAnswer: 13640000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-175)\/2*76\/(-95). Let z be (i\/(-126))\/(25\/(-210)). Suppose -20\/3 - 2\/3*j**3 + z*j + 8\/3*j**2 = 0. What is j?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231.99 + 0.99. Let f = -119785 - -120016.183. Let g = n + f. What is g rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**11*x)*((x\/x**(-2\/5))\/x)\/x*(x**(-26)\/x)\/(x*x**5))**(3\/2) assuming x is positive.\nAnswer: x**(-342\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -55.725044668961 + 0.1\nAnswer: -55.625044668961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101814.\nAnswer: 2, 3, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367358 is divided by 73469?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4374 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 4. Let i(c) be the third derivative of 3*c**4\/8 + 3*c**3\/2 + c**2. Let n(d) = 5*d**2 + 13*d - 1. Let u be n(-2). Calculate u*b(v) - 3*i(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45474\/19901 - -2\/2843. Solve 0 + 8\/7*w - 10\/7*w**4 + b*w**2 - 2*w**3 = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.106? (a) 1\/4 (b) 546 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-21))\/(4\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48194 - -29494675\/612. Calculate the common denominator of j and -13\/2040.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -712397.48 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3487 is divided by 166.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 258 + -3?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) 0.02 (c) -14 (d) -5\/17 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/846 and -83\/278.\nAnswer: 117594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19313, 77196, 173667, 308726, 482373?\nAnswer: 694608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114146192 to the power of 1\/2, to the nearest integer?\nAnswer: 10684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z + 5. Let j(g) = 7*g + 6. Suppose -6*w = -9 - 3. Suppose 5*u = w + 23. Give u*o(c) - 4*j(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4527 < 4527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 768 = 20*d. What is the smallest common multiple of d and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7573 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -385.1 + 385. Sort 2\/9, -22, l, -5.\nAnswer: -22, -5, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/5 + 4*a**4\/5 - 24*a**3\/5 - 36*a**2\/5 + 54*a\/5 = 0. What is a?\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a + 2. Let w be r(1). Find o such that -2 + 117*o + 3*o**w - 7*o**3 - 114*o + 3*o**4 + 0 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -220. Let w = y - 82. Solve -3*j + 2 = w*o, 2*o + 2*o = -2*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 + 141?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/12 - 126\/(-12) is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221cb (base 16) to base 12\nAnswer: -68a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 h when four letters picked without replacement from hhhvhhhhvhhhvvhhhh?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1 + 0) + -3. Let k(s) be the first derivative of 3*s**2\/2 - s + 39. Determine k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**4 - 120*o**3 + 160*o**2 - 32*o - 6. Let k(z) = -z**4 + z**3 - z**2 + 3. Let g(t) = j(t) + 2*k(t). What is d in g(d) = 0?\nAnswer: -16, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*a*o**3*u**3 - 2*a*o**3 + 2*a*o**2*u**2 + a*u**3 - 3*o**3*u**3 - 75*o**3*u wrt u.\nAnswer: -168*a*o**3 + 6*a - 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 60 = -0*c. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 4384 = 31*i. What is the remainder when i is divided by 71?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2190*n**5 - 7*n**3 + 2*n**2*s**2 - 6*n*s**2 - n*s + 469*s**2 wrt n.\nAnswer: -43800*n**3 - 42*n + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, 5, 7, 11, 17, 25?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(44)\/(sqrt(4)*-1))**2 + (sqrt(1584) - (2 + (-1 + sqrt(1584))**2)).\nAnswer: -1413 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1973*w + 20142 = -2719*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 264488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*(2 + sqrt(8)))**2 - sqrt(24)\/(-1*-2*sqrt(12) + sqrt(12))).\nAnswer: 43 + 95*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**8\/6720 + h**7\/630 + h**6\/120 + h**5\/40 - h**4\/12 - h**2. Let n(v) be the second derivative of i(v). Determine n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4062 (base 7) to base 16\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-522)\/(-812))\/(18\/(-210)*-5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 1)*(-2*a + 0*a + a) + (-3 - 1 + 5)*(-2*a + 2 - 2) + 239 + 21*a - 239.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3709066 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -28084.\nAnswer: 3\/7021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 41 - 8 = 11. Let k(i) = i - 1. Let j(m) = 4*m - 7. Let t(f) = -f + 2. Let b(z) = 3*j(z) + 8*t(z). What is o*k(u) + b(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(20\/4))\/(-3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((15 - 1) + -1 - (45 - 17 - 14)) + -58\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*g = 16, 3*k - 5*g = 5*k - 16. Let u = 3 + k. Let f = -74 - -79. What is the closest to 0.1 in u, f, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427 and 8842987?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74420, -297706, -669854, -1190864, -1860736, -2679470, -3647066?\n\"Answer: -74431*g**2 + 7*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*j - 4 = -9*j, 47*j - 195 = 5*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 4*a**2 - 2*a**2 + (-6 - a - 5 + 12)*(a - 2*a + 3*a).\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6461.\nAnswer: 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2\/3*u**5 + 2*u**4 + 284\/3*u**3 - 288*u**2 + 0 + 192*u = 0.\nAnswer: -12, 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2610, -2541, -2426, -2265, -2058?\n\"Answer: 23*i**2 - 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 5*d = -10*s + 16, -5*d = 2*s - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {e: 3, a: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/8 - j**3\/3 + 9*j**2. Let t be l(-8). Let w = 27 + t. Let x(o) = -o**3 + o**2 - 1. Give x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2. Let k(r) = -437*r**2. Give k(o(h)).\nAnswer: -27968*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 3507725.1.\nAnswer: -3507725.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -16*l + 0*l**6 + 0*l**5 - 113 + 192\/7*l**7 + 0*l**2 - 2*l**3 + 0*l**4. What is the third derivative of q(f) wrt f?\nAnswer: 23040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11282, -11255, -11228?\nAnswer: -11201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*y + 4*y = 108, -5*u = 2*y - 278. Calculate the greatest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:15 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**8\/110880 - o**7\/27720 - o**5\/20 + o**2. Let f(v) be the third derivative of y(v). Factor f(z).\nAnswer: 2*z*(z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + -1) - (-15 + 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41147546 + -6863.\nAnswer: -6863.41147546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -14578\/76589 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/15)*g))\/g*g**(15\/7)\/g)**4 assuming g is positive.\nAnswer: g**(116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o. Let f(g) = -2*g**2 + 7*g**2 + 2 - 3*g**2 + 5*g. Determine f(k) - 5*j(k).\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -0.057, -0.12, 348?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 76 - (0 + -1 + 2). Let g(t) = t**2 - 8*t - 3. Let p be g(8). Let k = p + d. Calculate the highest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6*z = 0. Let a(n) = z*n + 1 - 2*n + 3*n. Determine a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 216, 92, -252, -930, -2056?\n\"Answer: -19*h**3 + 4*h**2 - 3*h + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + g**2 - g + 3 - g**2)*(-39 + 39 + 29*g) + (-1 - 1 + g + g)*(-4*g**2 + 3*g**2 + 4*g**2) as m*g**2 + o*g + x*g**3 + i and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 164052?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Let g be 5 + m\/(-1) - 3. Let j be (g + 12)*3*-10. Round j to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2012210333?\nAnswer: 2012210332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/36 and -39\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Suppose -4*b - 1 + 13 = l. Let k(d) = d - 3. Let t be k(b). Is 2 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*d - 4*r - 21, 0 = -2*d + 4*r + 12. Let u be (-10)\/d + 1\/(-2). Solve u*h = 1 - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90806.3 and 0.2.\nAnswer: -18161.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54b (base 15) to base 9.\nAnswer: -1568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 14*m + 55. Suppose 0 = -2*p + 4*p - 34. Let b be f(p). Solve 5*j + 9 + 6 = 2*k, 2*j = b*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74109530, 74109529, 74109528?\nAnswer: 74109527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26808656 and 44627?\nAnswer: 4057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48371539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210210000 (base 3) to base 4.\nAnswer: 3320010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**4\/4 - 2*j**3 + 5*j**2\/2 - j + 2. Let q be ((-15)\/6)\/(2\/(-4)). What is f(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b - 2*r = 11, 0 = 3*b + 2*r + 9. Let h be 3 + b + -1 + 3. Suppose -f = -h*f + 15. Solve -f*c + 2 = -13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:03 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -7\/247, -3?\nAnswer: -7\/247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/20 + 2*j**4\/3 + 8*j**3\/3 + 11*j**2\/2 + 53*j. Let r be u(-7). Is -52 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j\/((j**10*j)\/j))))**(-22) assuming j is positive.\nAnswer: j**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -1784565.3.\nAnswer: -1784563.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0788653 weeks to seconds.\nAnswer: 47697.73344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86772 by -43386.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-151)\/(-6342))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22283969 + 26562506529\/1192. Let c = y + -54\/149. Find the common denominator of -31\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, c: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114 (base 14) to base 13.\nAnswer: -1467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104164 (base 10) in base 2?\nAnswer: 11001011011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 11*r**2 + 38*r - 319. Suppose -4*i - i + 90 = 0. What is the lowest common multiple of i and v(11)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*i = -50*i - 3000. Suppose -3*w + l = -560, 564 = 6*w - 3*w - 3*l. Let m = i + w. What are the prime factors of m?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (26 + -13 - 28) + (11 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903154939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-80)*(-30)\/36.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3 - (4\/12 + -1). Suppose 2*d - 3*g - 46 = 320, 0 = r*d - 2*g - 368. List the prime factors of d.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 110 = -118. Let i be 398\/(-35) + (-5 - -3). Let p = -69\/5 - i. Which is the third smallest value? (a) p (b) 1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Let l = -7 + q. Let h(p) be the first derivative of -p**2\/2 - 5*p + 6. Determine h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 136 = 86. Is 8 a factor of 2634\/t + (-5)\/((-75)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1903, -1969, -2073, -2233, -2467?\n\"Answer: -3*p**3 - p**2 - 42*p - 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22046953 and -3.\nAnswer: -66140859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w - 25 = 0. Suppose 2*d = 4*d - 2*c - 14, -d = w*c + 23. Find b such that 26\/3*b**3 - 10\/3*b**5 + 40\/3*b + 62\/3*b**d - 14\/3*b**4 + 8\/3 = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 10*j**2 - 16*j**2 - 6*j**3 + 1 + 10*j**2 + 5*j. Let w be d(-1). Let t(x) = x**3 - 6*x**2 - 8*x + 2. What is t(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -21*b**3 + 3*b**2 + b - 2. Let a be j(-1). Suppose -4*r - a = s, 8*s = 12*s + 2*r + 28. Put 1, 4, -7, s in descending order.\nAnswer: 4, 1, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i*i*i*i\/((i*i*i**0*i)\/i)*i*i))\/i))**(-4\/11)\/(i**(-2)\/i)**(-2) assuming i is positive.\nAnswer: i**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101110 - -101?\nAnswer: 101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/54)\/(m**(-20\/9)*m) assuming m is positive.\nAnswer: m**(67\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210222 + -2122?\nAnswer: -1220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*p - 4*p**2 + 31*p + (-3 + 3 - p)*(0*p + 0*p - 2*p) + p**2 + 4*p - 4*p - 4 + 4 - 3*p**2 to u + z*p**2 + l*p and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1. Let o(w) = -7*w**2 + 9*w - 5. Let y(r) = 6*g(r) + 2*o(r). Factor y(x).\nAnswer: -2*(x - 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/5*(-1)\/(-3). Let a = 338 + -308. Suppose 3*s = y + a, 0 = -0*s - 4*s + y + 39. Is s at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l*l**0*l)\/l*l*l**(-2\/25))\/(l**(-2\/3))**(13\/6))\/((l**(-1\/5)*l**2)\/((l\/(l*l\/(l\/l**(2\/5))))\/(l*l**(-6)*l))) assuming l is positive.\nAnswer: l**(1612\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24828584321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 3*q**2 + 0*q**2)*(-1 + 6 - 3) - 119*q**2 + 103*q + 121*q**2 + 342*q.\nAnswer: 6*q**2 + 445*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 181152809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(590\/(-18172)*7).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13044411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from clcpoloclolsocspopl?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51, -53, -55, -57?\n\"Answer: -2*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 + -13 - (4 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(80) + -1 - sqrt(80)) + -3 + sqrt(80) + 0)*4 + -5.\nAnswer: 3 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 - 1342*i**3\/3 - 104239*i**2\/3 - 386486*i - 637560 = 0. Calculate i.\nAnswer: -1260, -69, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1152\/(-9184))\/36)\/((4\/(-5))\/((-56)\/(-20))).\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14912 and 932?\nAnswer: 14912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 8*h**2 - 7*h - 104. Let a be v(-8). Calculate the highest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39593 >= -39593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*14\/21*-25*(-11)\/110)\/(-19)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 697*n + 3719. List the prime factors of f(35).\nAnswer: 2, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -62564\/249 = -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7076.51 centimeters to kilometers.\nAnswer: 0.0707651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338\/(-892) - (-33)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:26 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38239 - 36565 = -611*c + 2285*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d9 - c0a?\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-32)*-4)\/(((-216)\/8)\/(-594))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2034421, 4068875, 6103359, 8137873, 10172417, 12206991, 14241595?\n\"Answer: 15*h**2 + 2034409*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in milliseconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -16. What is the greatest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-5\/9)\/j)\/j)\/(j**16*j))\/((j*(j*j*j*j*j\/(j**10\/j)*j)\/j*j)\/j*j)**(-48) assuming j is positive.\nAnswer: j**(-1031\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -27*q**5\/5 - 15*q**4 - 4*q**3 - 779. Factor w(y).\nAnswer: -3*y**2*(y + 2)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 7*m**2 + 2*m - 6. Let g be w(-3). What is the remainder when 14 is divided by (13 + -1)*g\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4475967 less than or equal to -4475972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 105. What is the highest common divisor of y and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3100*z + 1488 = 3052*z for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 = -2*c - i + 185, c + 5*i = 355. What is the highest common factor of 1690 and c?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + -4bc?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1006 or 174258?\nAnswer: 1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 11:40 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-21)\/28 - 2\/8. Solve 10 + p = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -14. Let q(g) = -3*g + 2. Is q(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 8*i**3 - 2*i**3)*(-2 + 3 - 2 + (3 + 2 - 3)*(-1 - 1 + 6)).\nAnswer: -63*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -978, -1980, -2984, -3990, -4998, -6008, -7020?\nAnswer: -8034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(343) + -4))**2.\nAnswer: -896*sqrt(7) + 5744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.161 * 1.27.\nAnswer: 0.20447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (220\/180)\/11*171\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9287711 is divided by 4878.\nAnswer: 4877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.121488 to 2 decimal places.\nAnswer: -26.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y + 115. Calculate h(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.062*-179\nAnswer: -11.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 398.999998924 + -399. What is i rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + f - 31 = -f, -3*c = -2*f - 11. Suppose 3 = -i + c. Let a be (i\/(-3))\/(3\/(-18)). Put -4, a, 1 in increasing order.\nAnswer: -4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m**4 + 3*m**2 - 8*m**4 - m**2 + (-2*m**3 + 0*m**3 + m**3)*(-4*m - 2*m + 5*m)*(0 - 4 - 1).\nAnswer: -3*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5895 and -1.\nAnswer: -5895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*b**3 - b**4 - 2*b**2 - 27*b**3 - 3*b - 22*b**3 - 2 to i*b**2 + m*b**3 + q + c*b**4 + x*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 10 in descending order.\nAnswer: 10, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3187872, -3187806, -3187630, -3187290, -3186732, -3185902, -3184746, -3183210?\nAnswer: -3181240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -26*z**2 + 116*z - 74. Let d(l) = -14*l**2 + 65*l - 37. Let v(x) = 11*d(x) - 6*s(x). What is v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tteveettvevevtew. Give prob of picking 1 v, 2 t, and 1 e.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -4 (b) -3 (c) -0.5 (d) 12.42 (e) 167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let f be t(3). Let i = 2\/481 + -3375\/1924. Let g = 5\/4 + i. Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4 + 426*i - 116*i - 3 - 15. Let t be k(1). What is the highest common factor of 37 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -32\/9*y**3 + 0 - 2\/3*y**4 - 47*y**2 - 1\/360*y**6 + 0*y + 1\/12*y**5. What is k in q(k) = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 12:26 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from hmm?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178459652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 150455986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 24, 3\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 372097*n**3*o*r - 14*n**3*o - 6*n**2*o*r - 335931*n*r + 3*o*r wrt n.\nAnswer: 2232582*o*r - 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2441 and -17.\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3*8\/14)\/((-4)\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*j - 96*j = -94*j - 1850 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92904 and 1278312?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -2900660\nAnswer: -41\/2900660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 + 187. Calculate the smallest common multiple of 982 and z.\nAnswer: 8838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10341*o*q**3 - q**3 - 785*q - 1 wrt o.\nAnswer: -10341*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/133 - (-22)\/(-209).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189141 divided by -7215?\nAnswer: 63047\/2405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((152352\/1725)\/(-69))\/((-1)\/((-5)\/(-1))).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 122. Suppose 4*l - 4*m = u, -14 = -2*l + m + 10. Suppose 0 = 2*o - 0*o + 3*h - 19, 2*h - l = -2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + -4 + 7 - 14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 54 = 108 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*d**2 - 135*d**2 + 11 + 19*d**3 wrt d.\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25413 + -25424.947. Let u = a + -0.053. What is the smallest value in 3, -4\/3, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 15*j + 12. Let q be z(16). What is the smallest common multiple of (-6)\/24 + (-21)\/q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98257 - 1.2?\nAnswer: -98258.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 9*h**2 - 6 + 34*h + 1 - 35*h - 3 to o + p*h**2 + x*h and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 839*a - 7551. Let d be g(9). Let r = 8.4 - -2.6. Let l = -11 + 12. What is the closest to l in -3, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whw when three letters picked without replacement from {h: 1, w: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 7. Let r be w(7). Suppose r = t + 5 - 8. Find the first derivative of -6*s**t + s**3 + 5 - 4 - 4*s**3 wrt s.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 144 = -276. What is the greatest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874488594.\nAnswer: 2, 11, 31, 41, 43, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/15618 and 107\/3610?\nAnswer: 1483710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*x - 3. Is (x\/4)\/((-21)\/(-5460)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/1 - (-6)\/(2*-1). Let i = f - 33. What is the greatest common factor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(36)\/(sqrt(20)\/(-3*sqrt(10))))\/(-4*(sqrt(576) + (sqrt(576) - sqrt(576)*-3) + sqrt(576) + sqrt(576))))**2*3.\nAnswer: -27\/6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372346*s**2 + 60*s - 116309*s**2 - 60*s.\nAnswer: 256037*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 2*c + 36523*g - 36519*g, 0*c = 2*c + 2*g - 102 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkkkzzzkk. What is prob of sequence zz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 186415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*r = -13953 + 54775, 3*r = 4*y - 54434. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*w - 171 = 239*w + 3*b - 175, -4*b + 49 = -3*w + 4 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/15 + z**4\/12 + z**3\/6 - 2*z**2. Give q(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -25*d - 20. Solve 5*o - d*o - 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 - 11 - 40 + 1 - 35*j**2 as g*j**2 + h + t*j and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*q - 57, -3 = -5*q - 8. Let w(n) = -17*n - 15. What is the hundreds digit of w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + a)*(1 + 1 - 1 + (-1 + 3 - 4)*(-5 + 1 + 2)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*20 + -1)*2. Let p = -27 + z. What is the highest common factor of 44 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b + 111. Determine r(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441 (base 5) to base 7.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824448*z = 824352*z - 3360 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:13 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 264835?\nAnswer: 264835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (555 - 1) + 5 + -1. Suppose 3*j = 578 - b. Is j greater than or equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 4. Calculate l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6200376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-579*a**2 + 131*a + 1161*a**2 + 2 - 580*a**2)*(-3*a + 3*a + 5*a).\nAnswer: 10*a**3 + 655*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**14*(u**(-1))**(8\/5)*(u**(-2\/9)*u*u*u*u**(3\/5)\/u)**17 assuming u is positive.\nAnswer: u**(3007\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.0679 tonnes in kilograms?\nAnswer: 518067.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 43112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11565257*p**6 - 555379*p**2 - 5 wrt p.\nAnswer: -1387830840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-27) - 0 - 7\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -13135\nAnswer: 91945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 217020, 434045, 651070, 868095?\n\"Answer: 217025*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 425?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -9, -26, -51, -84, -125?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -1\/6*r**3 + 0*r - 1\/6*r**4 - r**2 + 0. What is the remainder when k(-3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*c + 262*c - 1261 - 3354 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*d + 4*d - d)*(-14 + 14 - 42*d)*(3 + 0 - 1) to x + r*d**2 + m*d and give r.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 2. Let o be b(0). Let z be (-5 - -3) + o*3. Solve 5*l + 13 = -2*u, -z*l - 12 = u + u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2405 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 327061 or 981182\/3?\nAnswer: 327061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:33 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*b + 40 = 200*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -971\/277 (b) 2 (c) 2\/17 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062494320?\nAnswer: 2, 5, 4289, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55023*u**5 - 6*u**3 - 1171*u**2 + 1033 wrt u?\nAnswer: 3301380*u**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347 + -78. Let r = 197.5 + p. What is r rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 2886*g**3 + 19*g + 4*g + 3*g - 2889*g**3 - 3 in the form y + n*g**3 + c*g**2 + x*g and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and -149\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28277126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*j + 108 - 242 = 251 + 287 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8185, -16832, -25479, -34126?\n\"Answer: -8647*m + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 31 + 8 + 12)*(3*o + 0*o + 5*o) to the form m*o + y and give m.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282 and 4?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-6) + 2\/(-6). Let v be (-1)\/((-1)\/x) - 0. Let p be 3 + (v - 1) - -2. Solve p*u = -2*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -4*a**3 - 9*a. Let p(q) = 5*q - 138. Let y be p(28). Let w(g) = 0*g - 5*g + y*g**2 + 5*g. Calculate w(f(u)).\nAnswer: 1152*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108313 = 285*g + 5526*g + 861*g + 742153 for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110701 (base 9) in base 12?\nAnswer: -3236a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49589363, -99178729, -148768095, -198357461?\nAnswer: -247946827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569 a factor of 2247368133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16441\/558 at most as big as 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1.7 (c) 0.021 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 1. Let v(r) = -5*r + 4. Let c(t) = 4*s(t) - v(t). Suppose -3*o - 2 = -o + 2*j, 3*j - 17 = 2*o. Let q(g) = 3*g. What is o*q(h) - 3*c(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 1870*t**3 + 1855*t**2 + 3730*t.\nAnswer: 5*t*(t - 373)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 211056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + sqrt(245)*-1*4)*6 + -5 + (5 + sqrt(245)*1 - sqrt(245) - (sqrt(245) + sqrt(245) + -1*1*sqrt(245))))**2.\nAnswer: 10500*sqrt(5) + 154021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3725*w - 3719*w + 3 + 7444*w + 22*w**3.\nAnswer: 22*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:08 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44639 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*a + 504*a + 548*a = 100564 for a.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 108\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*y + 16*y**6 - 9*y - y + 10*y**2 wrt y?\nAnswer: 1920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/2)\/(21\/(-56))*(-64)\/(-280)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425876 divided by 38716.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 713.7529 litres?\nAnswer: 713752.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -34 + 46 + -122 + 17.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -45787?\nAnswer: 45802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:52 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-90)\/(-120)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 981, 7858, 14735, 21612, 28489, 35366?\n\"Answer: 6877*p - 5896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8253447001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from ljjjjjbtk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-4) + 4)*-2. Is p\/(-2) - 578\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40124 (base 5) in base 7?\nAnswer: -10255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 532, -5 in descending order.\nAnswer: 532, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100137 + -69646. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/5 - 362*j**2\/5 - 7052*j\/5 - 22288\/5 = 0.\nAnswer: -14, -4, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 111*v - 1887. Determine x(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.1. Let y(q) = -3*q + 6. Let b be y(-3). Let f be b\/6 - 8\/2. What is the closest to d in f, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*p**5\/6 + 340*p**4\/3 + 5927*p**3\/2 + 15196*p**2\/3 + 7978*p\/3 + 440 = 0. What is p?\nAnswer: -15, -1, -2\/5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/440*(-40)\/50?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12170\/24573?\nAnswer: -12170\/24573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -312481, -312499, -312565, -312709, -312961, -313351, -313909?\n\"Answer: -5*s**3 + 6*s**2 - s - 312481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 716790 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 0*a + 6*a. Suppose 4*f = -2*f + 18. Let w(v) = 6*v**2 - f*v**2 - 2*v**2. Give w(g(k)).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 6. Suppose 5 = z - 0. Let h be 2\/(-2)*1\/z. Sort h, -2\/3, a in descending order.\nAnswer: h, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:49 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1\/6, -0.4, 1\/11, -0.05.\nAnswer: -21, -0.4, -1\/6, -0.05, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-6)\/(-8)*4. Let j = 26 + -25. Sort 0, b, j in ascending order.\nAnswer: 0, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000197148069 to 7 dps.\nAnswer: 0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.94045 + 1.9408. Let s = 0.1 + 2.9. Let l = s + w. Round l to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401 = 70*t - 51 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.053 (b) -1593\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -44*g. Let h(z) = -203176*z - 2. Calculate h(w(a)).\nAnswer: 8939744*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}