diff --git "a/data/dm_maths/full_data_2/1051_11255.jsonl" "b/data/dm_maths/full_data_2/1051_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1051_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p(x) = 2925*x + 233. Let c = -40 + 46. Is p(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 60. Let m = -34 - -77. Suppose -5*x - m = -g, 2*x + 2*x - 302 = -5*g. What is the remainder when g is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6023 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**4*g))\/g)\/g**2)\/(g**(-2\/13)\/(g**(-1\/4)\/g)))**(-4) assuming g is positive.\nAnswer: g**(421\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -288, -346, -418, -510, -628?\n\"Answer: -z**3 - z**2 - 48*z - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016688 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)*(h**(1\/3)*h)\/h*(h\/(h*h**1*h)*h*h)**(-12\/13))\/((h**3*h**(-5))\/(h*h**(2\/7))**44) assuming h is positive.\nAnswer: h**(6164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*h + 15, -2*h - 2*h + 3*g = -25. Suppose -5*d - 2*v = -130, 0*d - 3*v = h*d - 111. Suppose 0 = -5*l + d - 4. Solve -2*u + l = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38048)\/261 - (1 + (-7)\/9). Let z be (-1 + -2)*m\/3. What is z rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -9. Let v = 2.2 - 2.2. Which is the biggest value? (a) v (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20 + -6)\/(2\/(-1)). Solve 5*y + 3*t = -12, 0 = 5*y + t + t + n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t + 2. Let a(c) be the third derivative of 7*c**4\/24 + 26*c**2. Give a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82749308 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2 - 8. Let d = -2687\/5 - -536. What is the biggest value in 3, v, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -22*r**2 - r - 4. Let v(x) = -23*x**2 - x - 3. What is 3*j(n) - 4*v(n)?\nAnswer: 26*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(-1))))\/(((b\/b**(2\/3)*b)\/b)\/b)*b\/(b**(2\/3)\/b)*b**(2\/5)\/b)\/(b*b**(-2\/5)*b**0*b*b**(-4\/9)\/(b*b**(-1))) assuming b is positive.\nAnswer: b**(11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.4208.\nAnswer: -2.9456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 15 = 0, 9*i = 4*s + 11*i + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13678, 0, -4 in ascending order.\nAnswer: -4, 0, 13678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 21 = -a, g = 6 + 1. Solve 2*k = -a*n + 13*n, 2*n = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 7*j**2 - 5*j - 10. Suppose -54*z = -51*z - 24. Determine f(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15 = -p, -d - 5*p = 2*d + 13. Let x = d - -16. Solve 0*i - 15 = x*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, 13217092?\nAnswer: 13217092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 9a1408?\nAnswer: -9a140b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52 - -53)\/(1\/(-3)). Let f(h) = 29*h**2 + 4*h - 3. Let q(i) = -88*i**2 - 11*i + 8. Let t(n) = m*q(n) - 8*f(n). Let c(g) = -2*g**2. Give c(t(w)).\nAnswer: -2048*w**4 - 128*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from tqtqqahqeattaqht.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 147005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 12 = 0. Suppose 0 = -i + q*d - 19, 2*i + 3*i + 4*d = 0. Let f be ((-4)\/65)\/(i\/(-10)). Sort 0.3, 0, f in increasing order.\nAnswer: f, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*c**2 - 158*c**2 - 839 + 841 + 39*c**3.\nAnswer: 39*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a meter in millimeters?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-1 - (4 + 2)) + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73692 and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 269*s = -266*s + 90, 60 = -2*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 8. Let w = 0.7 - 1. Sort 1\/3, s, w in descending order.\nAnswer: 1\/3, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870 - 860 = -16*q - 1698 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 13 - ((-10 - -15) + -5 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 12 = 5*l - 2, r - 4*l = -12. Sort r, 14, 3, -3 in decreasing order.\nAnswer: 14, 3, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 6*w - 2. Suppose w*b - b + p = 1, -b - 4 = -4*p. Which is smaller: b or 5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by -159\nAnswer: -350\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -193, -192, -191, -190?\n\"Answer: s - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9461 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -299, -305?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k + 374 = -24*k. What is the remainder when 576 is divided by k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -16*i - 43. Let y(p) = p**2 - 11*p - 24. Let w be y(11). List the prime factors of c(w).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(260)\/((sqrt(200) + sqrt(50) + sqrt(50) + sqrt(50))\/sqrt(10) + sqrt(5)) - (-4 + sqrt(1872) + sqrt(1872) + 1 + sqrt(1872))))**2 + 5.\nAnswer: -1926*sqrt(13) + 148923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**13\/(z*z\/z**(-7)*z) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 6. Let a = -219 + 139. Let u = 79 + a. What is the closest to 1 in f, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3343 = 4*w + 463, -2*w - 3*p + 1460 = 0. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*j = -125, 5*a + 6*j = -85 - 53 - 68 + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (51 + -35)) + (-4 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j + 4*n - 102 = 0, -4*j = -4*n + 208. Put j, -2, 0 in decreasing order.\nAnswer: 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-3 - -58) - 57?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*w - 1050*w - 42 - 14 = 0 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7686 and 2188314.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*p**3 + 2136*p**2 - 4274*p**2 - 548*p**3 + 2138*p**2.\nAnswer: -452*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 7*z + 24. Solve v + 4*b + 6 = -12, 0 = -z*v + 4*b + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose 0 = -k*z - 0*z - 5*q - 7, 0 = -2*z + 3*q + 17. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -159*v + 19683 - 477*v**2 + 480*v**2 - 327*v.\nAnswer: 3*(v - 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 1:49 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4115357820 to the nearest integer?\nAnswer: 64151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54050 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0353 + 0.0647. Which is smaller: -555 or b?\nAnswer: -555","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12150 * -26\nAnswer: -315900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17090 take away 12867990?\nAnswer: -12885080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**2 - 6*v + 6*v)*(5*v + 52*v**2 - 55*v**2 + 99*v) to the form i*v**4 + n*v + l + t*v**3 + c*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.112 * 39.\nAnswer: 4.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 42. Suppose -3*y = -3*o + n, -3*y - 17 = -2*o + 3*o. Let l be -2*(y\/4)\/(-3). Which is the third smallest value? (a) 4 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5016 and 50559.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101031110 - -11?\nAnswer: 101031121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*m + 6, 3*f = 5*m + 6*f - 15. Let j(n) = -n**3 + 4*n**2 - 5*n + 10. Let q be j(m). Solve -q*s + 0*s = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235 by 47.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-190)\/(-57)*18\/15. Suppose -5*u + 50 = -c*q, -3*q = -2*u + 19 + 8. Sort -34, u, -1.\nAnswer: -34, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 1163*v + 1165*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 113 + 1821 = 2*o, -2*o = -5*m + 3218. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-3*sqrt(297) - sqrt(297))*-4)\/sqrt(9))\/(sqrt(539) - -4*sqrt(539)*-1))**2.\nAnswer: 256\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -286, -596, -934, -1306, -1718?\n\"Answer: -q**3 - 8*q**2 - 279*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 49\/((-1764)\/(-120))*(-5)\/((-50)\/48)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/285606 and 97\/645516.\nAnswer: 79398468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 76. Let a be 6\/d + (-234004)\/(-18). What is a rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70 + -2925?\nAnswer: -2885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 108 - 42)*(-1 + 0 + 3)*(-3*i - i + 10*i) + 2*i + 2 - 2 - 2*i + i + 0*i.\nAnswer: -2531*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/10)*z**5*(z*z**(12\/5))\/(z\/(z\/(z\/(z\/z**13)))) assuming z is positive.\nAnswer: z**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 12*l**2 - 93*l + 5. Let z be i(-12). Let h = -566 + z. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1430 and 10\/1331?\nAnswer: 173030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 + (2 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001044014 rounded to seven decimal places?\nAnswer: 0.0001044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:48 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 4*p + 6. Let o be d(3). Let i(l) = -l**2. Determine i(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kce when three letters picked without replacement from cfpfekx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -16*i. Solve -3*z - 7 + 1 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102362, 204722, 307082?\nAnswer: 409442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23599 and 5?\nAnswer: 117995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/(-8)*-2*(-14)\/(-210)*470?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*l + 27*l - 7188. Suppose -4*o + 4*p + 2416 = 0, -7*o + 3*o = p - l. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*r + 15 = 0, -4*o + 0*r - 20 = 2*r. Let l be ((-8)\/7 + 2)*o. Let d(v) = -5*v + 1. Let y(a) = -11*a + 2. Calculate l*y(p) + 13*d(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**4 - r**3 + 4*r**2 - 2*r. Let n(z) = z - 14*z**2 + 7*z**2 + 6*z**2 - z**3. Let b(q) = 2*k(q) + 4*n(q). Let b(w) = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1024254 - -1024257. Factor -34\/3 + 22*m - 2\/3*m**d - 10*m**2.\nAnswer: -2*(m - 1)**2*(m + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 2:00 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1414225 smaller than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c + 193. Let m be z(-37). Calculate the highest common factor of 225 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 66104.\nAnswer: -1\/16526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21566981?\nAnswer: 29, 743689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70295?\nAnswer: 5, 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -231, 36, -269, 3 in descending order.\nAnswer: 36, 3, -231, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and -519?\nAnswer: -16608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-18))\/(3\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5 - 4*b + 3*b + 7*b - 6*b - 3*b. Calculate a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + 4 - (11 - 2 - (-17 + 20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30548 - 95150 = -3*p + 1749*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 3*m - 3. Let l be y(-5). Let x = l + -5. Suppose -3*f = -11 + x. Solve -2 = -v, -t - 2*t - f*v = -12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 136217, 272425, 408633?\n\"Answer: 136208*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -3)\/((-3)\/(-171)). Let q = o + 142. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/84987 and 93\/4?\nAnswer: 339948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*p**3*y - 2912708*p**3 + 292*p**2 + 111*p - 4*y - 270 wrt p.\nAnswer: 138*y - 17476248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 187320501*o + 187320528*o - o**2 - 374641029*o - 7*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3285 (b) 5 (c) 545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17*x**3 - 14*x**2 + 2*x - 76. Let p(l) = 2*l**3 - 2*l**2 - 1. Let i(w) = c(w) - 6*p(w). Find the second derivative of i(z) wrt z.\nAnswer: 30*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i - 2. Let n(d) = -2 + 4*d**2 + 9*d - 3*d**2 - 4*d. Suppose -4*y - 20 = 2*t, y - 6 = -5*t - 11. What is y*f(s) + 6*n(s)?\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 10681?\nAnswer: 74767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29512725*o**3 - 15550917*o.\nAnswer: -177076350*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 159*f - 286. What is the thousands digit of y(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8453.9 rounded to the nearest 10?\nAnswer: -8450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241797*w - 3*t = -241795*w + 12, 12 = -3*w - 3*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48, 61, 66, 51, 4, -87?\n\"Answer: -2*l**3 + 8*l**2 + 3*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 6 = 2*y, 3*u + 2*y = -22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-5) + 2*(-614)\/612. Does -1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4051 = -384*t - 1027 + 816 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.5, 154, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -85*c**2 + 66*c. Let u(p) = -17*p**2 + 13*p. Let q(y) = 11*u(y) - 2*x(y). Find the second derivative of q(i) wrt i.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 154\/6 - 4\/(-12)*-2. Let o(q) = q**3 - 24*q**2 - 25*q + 19. What is the remainder when 92 is divided by o(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -33\/19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 8:17 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 399\/4 + -100. Let a = -5 + 3. Let b = 2984 - 2987. Put a, 0.2, c, b in descending order.\nAnswer: 0.2, c, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {y: 1, f: 4, s: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3911 - -3908. What is the closest to 41 in c, 18, -0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3981, 8243, 12789, 17619?\nAnswer: 22733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n - 639 + 2679. Does 33 divide (51\/12 - (-4 + 0))*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4\/40)\/((-8)\/5)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*i + d, -25 = 3*i + 3*d - d. Let g be (-4 - i)*(-36)\/(-2). Let r be (3\/63)\/(2\/g). Which is the second biggest value? (a) -2 (b) r (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = l - 31. Let g = l - 300. What is the highest common factor of 81 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:09 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let b(n) = 2*n**2 - n**x - 3*n**2. Let u(w) = -2*w**2. What is u(b(o))?\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 19*o + 4. Let i(j) = j**2 - 16*j + 38. Let d be i(12). List the prime factors of w(d).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 5*g**4.\nAnswer: g**4*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 18277 and 18276 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/1*(-4)\/5. Suppose -3*p - 2*p = -15. Suppose p*d + 6 - 15 = 0. Solve 5*l + 0*l + d*z = 30, 3*l - f*z + 11 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose w = k - 8 - 7. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5343.975708 rounded to the nearest ten?\nAnswer: -5340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 0, -3*q - 2*f - 9 = f. Let l(u) = u. Let p(n) = n. Let a(m) = -l(m) - 3*p(m). Let t be a(q). Solve o - t*o = 12, -4*k = -4*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 488 - 253. What is the common denominator of -14*(3 + z\/(-90)) and (53\/44 - 1)*-8?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, k: 9}. Give prob of sequence ck.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 39 + 22 = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/((-8)\/24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 147591*b**2 - 295194*b - 1180744 = 0. What is b?\nAnswer: -147593, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 100. Let y = d - -55\/2. Let t be 1\/36 - 2\/8. What is the closest to t in -5, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2*-1)\/12)\/(((-101179)\/16652)\/(-559))\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 13*m - 106. Let f be y(-20). Suppose 18*i = 16*i + b + f, 5*b = 0. List the prime factors of i.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose 0 = x + 5*d - 36 + 11, 3*d - 22 = -2*x. Let u(c) = -x*c**2 + 5*c**2 - c**2 - 1 + 0*c**2 + 4*c. Determine u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8060791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54.4 + -62. Let a = 7515.712 - 7523.3120152. Let q = h - a. Round q to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3)*(27\/6 - 5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259 + 261. Suppose 1 - 5 = -t + j*m, 2*m = 5*t - 36. What is the remainder when 61 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2777 - 2296 = 37*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96019905?\nAnswer: 3, 5, 6401327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*i*i**(-6)*i*i*(i*i\/(i**(-1\/3)*i))**(-4\/13) assuming i is positive.\nAnswer: i**(62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2252610, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)\/(1\/(-5)). What is the third derivative of -8*x**i + 7*x**2 - 57*x**4 + 57*x**4 wrt x?\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-15)\/(-351) - (-10)\/(-65))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(275)*1 + 5 + (sqrt(275) - (2*sqrt(275) + 3)) + -4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 1:20 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -32. Let p be (-838)\/4609 + (-196)\/11 + 2. Is b\/p + -6*(2 + -135) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807043 is divided by 311?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*t - 21926 - 44934, -5*j - t + 83591 = 0. List the prime factors of j.\nAnswer: 3, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -504594.\nAnswer: -49\/168198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from mmmmmmmmmbmmb?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 + 6*s - 4. Let k(r) = 12*r**2 - 27*r + 18. Let w(i) = -2*k(i) - 9*v(i). Let f(j) = -9*j**2 + 6 - 6. What is f(w(c))?\nAnswer: -81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122 - -12021?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -35.6095\nAnswer: 106.8285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5468039 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142930?\nAnswer: 2, 5, 37, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, a: 14}. Give prob of sequence xaax.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/(-328) + (-17)\/(-4) + 766479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -425.271 + 425. Let f = t + 6.271. Let p = -24 + 74\/3. Which is the nearest to p? (a) f (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 63988162*h**2 + 511810577523198*h - 511810641511362.\nAnswer: 2*(h - 1)*(h + 15997041)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/578 and -69\/66038?\nAnswer: 19084982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.125, -1\/10, -0.55 in descending order.\nAnswer: -1\/10, -0.125, -0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 4*b. Let w(r) = r + 8. Let g(k) = k + 3. Let u(v) = -8*g(v) + 3*w(v). Determine -5*t(n) - 4*u(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(6\/7)\/((l\/(l\/(l\/(l\/(l*l\/(l\/l**(-1\/4))*l*l)))))\/l))\/((l\/(l**2\/l*l))\/(l**(-2\/11)*l*l)))**6 assuming l is positive.\nAnswer: l**(1779\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2 (c) -1.8 (d) 4\/9 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.01 (c) 5 (d) 2\/13 (e) 0.55423 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 - 35396*p\/11 - 106170\/11.\nAnswer: -2*(p + 3)*(p + 17695)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290403*w**4 - 108*w**3 + 693740360*w**2 wrt w?\nAnswer: -6969672*w - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -791*b**4*o + 5*b**4 - 4*b**3*o + 5*b**3 + 62*b**2 + 1333*o wrt b.\nAnswer: -18984*b*o + 120*b - 24*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.3. Let k = 1539 + -1539. What is the nearest to 2\/7 in -0.3, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:30 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:42 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let a be 0\/(-3)*(p - -1). Find the third derivative of y**4 - 4*y**4 + 3*y**2 + a*y**4 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12996*h**2 + 912*h - 16 = 0. Calculate h.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 148921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Suppose 8*y + 132 = -188. Let s(g) = 48*g. Give y*v(o) + s(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 57722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2920565 to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2 (c) -3 (d) 0.06498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -14. Let d be 1 - 2 - (j - -3). What is the third derivative of 3*c**5 - 2*c**5 + 2*c**d + 0*c**5 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -39.9962. Round j to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47532353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143579563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 38?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0710777 to 3 decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -74*x**3 + x**2 - 2*x - 14. Let z(s) = -371*s**3 + 5*s**2 - 11*s - 69. Let c(q) = 11*g(q) - 2*z(q). What is the third derivative of c(a) wrt a?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 867, 869, 871, 873?\n\"Answer: 2*t + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(500) + (sqrt(500) - (1 + sqrt(500))) - sqrt(500))*-6*2)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1118, -2, 7, 3, 0 in increasing order.\nAnswer: -1118, -2, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21690*n = 21680*n + 90 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*3*(-104)\/12. Let z = -36 - t. Calculate the smallest common multiple of (5\/3)\/(5\/72) and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h - 1235 = 65*h - 3089 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(684) + sqrt(684)*-2 + -5)**2.\nAnswer: 300*sqrt(19) + 3545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58997\/20 - 2949. What is the common denominator of l and ((-8)\/(-320))\/((-2)\/(-172))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - 3\/(1 + -4). Suppose -2*d = 2*d - s. Let a(r) = 6*r - 2. Calculate a(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*v - 84 + 11, -4*v = -5*l + 143. Let m be 6\/l + (-546)\/27. Let h be m\/15*(-3)\/2. Is h > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from ysyyuyyyyjjyy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10\/3 (b) -0.077 (c) 0 (d) -3 (e) 5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 22*r**2 - 3*r - 106. What is the thousands digit of p(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 0*r**2 + 3*r**2 - 8*r**2 + 237*r + 4*r**2 as k*r + n*r**2 + o and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 23. Let o be k\/26 + 1694\/26. Suppose -5*m - o = -3*f, 0 = -2*f - 2*f - m + 79. What is the greatest common divisor of 50 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1027340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-4)\/(-8))*-11694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -402\/7, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 7 = 34*m. Let a(b) = 2*b - 5. Let k be a(4). Suppose -3*z = 2*p, 0*p = 3*p - k*z. Does m = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/2)\/((-20)\/8 + 3). Calculate the highest common divisor of g and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 75 = 4*m - m, m - 30 = 25*v - 7 + 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.380333673 and 1.\nAnswer: -0.380333673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 775 from -1.971.\nAnswer: -776.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {c: 3, b: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + d**4 + d**4 + (4*d**4 - 6*d**4 + 4*d**4)*(-2 + 4 - 1) + d**4 - 2*d**2 + 2*d**2 + (-d**2 + 2*d**3 + d**2)*(4 - 2*d - 4).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-168))\/((-35)\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4477)\/(-2442) + 3\/(-2) + 1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22957199 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 1824*w**4 - 271692*w**3 - 1698306*w**2 + 271695*w + 1696482 = 0. Calculate w.\nAnswer: -6, -1, 1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 3*c + 13. Let y be v(3). Suppose 73 = -w + q + 288, 3*w + y*q = 617. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -34, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 9*h**2 + 2*h + 20. Let z be s(-9). Solve 4*a = v + 19, -9*v + 15 = z*a - 4*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Let s = n + -4. Let v = 39 - 21. Is v != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3649 + 5584*o + 1572 - 26*o - 1016 + 3146 wrt o?\nAnswer: 5558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 17. Let u = -867 + 860. Let i = -6 - u. What is the nearest to -1 in 0.4, d, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 965 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3205.195711 to the nearest integer.\nAnswer: -3205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2103 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*m = -276*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2503506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Suppose -i + 25 = o. What is the least common multiple of o and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 0*s + 2 - 21*s**3 - 9*s + 8*s**2 + 22*s**3. Let f be p(-9). List the prime factors of f\/(-11) + 476\/77.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18581\/10 + 1868. Let x = 33337\/14 + -2380. Calculate the common denominator of x and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*p + 62. Let g = -43 - p. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -273*s - 90. What is k(-15)?\nAnswer: 4005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -3*s, 10 = s - 5*s + d. Let n = 6 + s. What is the nearest to -1\/2 in -0.4, 2, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 17*f - 2 + 3\/2*f**2. What is the least common multiple of x(-5) and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*t + 268, 4*c - 1072 = -t - 4*t. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*t - 1096 = -193 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 9. Let o be k(4). Let y = o + 1. Calculate the greatest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o. Let f(s) be the third derivative of -s**5\/30 + 19*s**3 + 122*s**2 - 3*s. Give f(b(q)).\nAnswer: -200*q**2 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.18, -5, 0.36?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2450*z**2 - 2442*z**2 + 481 - 1092 as l + h*z**2 + c*z and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.9647ug in grams?\nAnswer: 0.0001179647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 9. Let j(w) = -w**3 - 5*w**2 + 13*w - 11. Let c be j(-7). Determine h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10028\/3 - -1604543\/480. Find the common denominator of t and -119\/640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = -4*d, -40*d = -42*d - 2*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2220 - -2201.71. What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 23 + 1. Let y be 2\/v + (-136)\/22. Let n(g) = -g - 1. What is the units digit of n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36601871 to the power of 1\/2, to the nearest integer?\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 3ad?\nAnswer: -3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907294.\nAnswer: 2, 29, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03906 minus 0.3?\nAnswer: -0.26094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 - -110. Let n = 2.1 + -0.1. Let r = n + -2.4. Which is the closest to 1? (a) 2\/3 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10*t + 146 = 6*t, n = 5*t + 76. Suppose -n*a = -66*a. Solve a = 11*l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 2:09 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1183443 = 179*i - 2560122 - 875530. Calculate the highest common divisor of 65 and i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and 4?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - o + 39. Let x be k(6). Let n = 38.27 + -3.07. Let l = n - 35. Which is the second biggest value? (a) x (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2532794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8933433.44 to the nearest 1000.\nAnswer: -8933000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 170804, 170803, 170802?\n\"Answer: -g + 170805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -54138432650?\nAnswer: -54138432645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -962, -963, -966, -971?\n\"Answer: -b**2 + 2*b - 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*p**3 - 21483*p**2 - 4003920?\nAnswer: 27*p**2 - 42966*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**6*m))**(-6\/5)\/((m\/(m**(2\/31)*m))\/m**(1\/10)))**(2\/57) assuming m is positive.\nAnswer: m**(761\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 4401*h**3 - 2147670*h**2 - 346464300*h + 1058841000.\nAnswer: -3*(h - 3)*(h + 490)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5672*w + 21697. Let k(q) = -1899*q + 7232. Let i(p) = 14*k(p) - 5*y(p). What is the first derivative of i(a) wrt a?\nAnswer: 1774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -1\/6*n**3 - 1\/6*n**5 + 0*n - 1\/120*n**6 - 7*n**2 + 0 - 49\/24*n**4. Is f(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(539) + (sqrt(539) + 2 + sqrt(539))*5 + sqrt(539) + sqrt(539))**2 + -4) + 2 + 0.\nAnswer: -182372 - 3640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(3 - 3 - z + 2)*(-7*z + 9*z + 8*z).\nAnswer: 20*z**2 - 40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -5*g - 3*n, 130 - 126 = 2*n for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 22. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8253 + 21716. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/51 and -17\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -613*x**2 - 2*x + 4. Let l(t) = -t**2 + t - 2. Let n(h) = 2*l(h) + m(h). Let f(g) = 3*g. What is f(n(j))?\nAnswer: -1845*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/4)*p**5*p**(3\/2)\/p*p*p\/(p*p*p**(-9)*p) assuming p is positive.\nAnswer: p**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27.7, 0, 0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 10*i**2 - 12*i + 31. Let w be q(9). Suppose -5*p - w = -7*p. Sort p, -1\/6, -14, -4 in increasing order.\nAnswer: -14, -4, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from actcpgtfffftf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1284*r**2 - r - 1285*r**2 + r. Let z(l) = -103*l**2 + 5*l + 2. Determine z(m(d)).\nAnswer: -103*d**4 - 5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 0 in increasing order.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253965612 and 105819005.\nAnswer: 1269828060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(7 - (-11705)\/75). Let o = 804 + a. Calculate the common denominator of o and -61\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*n + n + 450 = 0, 5*b - 4*n = 759. Let v = b - 122. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 232 + 883. Let t = y + -129. What are the prime factors of t?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 733, -2\/5, 2, -0.5 in decreasing order.\nAnswer: 733, 2, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**3 - 925*l**2 + 244760*l + 245680 = 0.\nAnswer: -332, -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4\/3, -39 in increasing order.\nAnswer: -39, -1\/2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 5 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3402 divide 31597776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 6, -4*l - 2*o + 12 = 0. Let u = 4 - 3. Determine n, given that -5 + 2*n**3 + 6 - u - 2*n**l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*b. Suppose -3*k + 2 = -5*k - 5*u, b = 3*k - 5*u + 28. What is the units digit of 5 + (-3)\/(k\/134)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59024 - -99534. What are the prime factors of n?\nAnswer: 2, 5, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045 is divided by 346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57\/2 + 29. Put -2, -5, f in decreasing order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-26)*2*56\/21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 + 7 = 0. Let p be (-55)\/(-275) + (-11)\/5. Put 3, 1, p, o in ascending order.\nAnswer: p, 1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -23029000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-24)*18\/(-7). Suppose 7*x = 139 - 125. Factor g*s + 2\/7*s**x + 18\/7.\nAnswer: 2*(s + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 16*q - 3094. What is the remainder when q is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = -0*x. Let m be (-3)\/x + (-6)\/4. Suppose -3*g + 104 = v, m = -g - 7*v + 2*v + 30. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/7, -1\/2, -624, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 29*a - 35 = 0. Suppose -85 = -k - a*i + 65, k = -i + 166. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56734, 0, -49, -4, -1\/3 in descending order.\nAnswer: 0, -1\/3, -4, -49, -56734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979333 is divided by 463.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 - (-4 + (2 - -2)). Suppose -15*n + 3*d = -a*n + 11, 2*n - 2*d + 8 = 0. Solve 0*l + n = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*l - 5*l - 2*i, -4*i - 4 = 3*l. Suppose 3*s - m + 3*m = 1322, 0 = -s + 5*m + 452. Let a = 3089\/7 - s. Which is bigger: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1385 and 0.2.\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887125999.\nAnswer: 3701, 239699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/9, -3\/5, -4, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 5016 = 5*s + 15*k, 2*s = -4*k + 1984. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. Suppose 3*f - a = 1. Solve f*o + 2 = -0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -2*(2*sqrt(66) + sqrt(66)))\/(sqrt(24)\/sqrt(4)*6 - sqrt(6)) + 4.\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3054 + -5?\nAnswer: -3062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 3*n - 20, -4*s = n + 4*n - 40 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2 - w**2 - 3 + 2*w - 6 - 3*w. Suppose -4*g = 4*y + 20, 10 = -2*g + 3*y + 25. Calculate x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 10, y: 3, r: 2}. What is prob of picking 2 a?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -2 - (30 + -37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4313441 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 14) to base 3\nAnswer: 102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igg when three letters picked without replacement from {i: 12, g: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/22960 and -43\/1920.\nAnswer: 551040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x + 1. Let w(q) = 12*q**3 - 8*q**2 + 2*q + 2. Let p(u) = 2*k(u) - w(u). Find the third derivative of p(o) wrt o.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -916387172 - 4?\nAnswer: -916387176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -22*z**3 + 202*z**2 + 439*z + 16. What is r(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -11*u**7\/42 + u**4\/3 + 14*u. What is the third derivative of q(r) wrt r?\nAnswer: -660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*i**4 + 14*i - 1277 with respect to i.\nAnswer: -124*i**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -20*u**3 + 59*u**2 + 6*u + 3. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85, -718, -2431, -5764, -11257, -19450?\n\"Answer: -90*a**3 - 3*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/20 + -3 + (-1)\/(-2). Let k = 13\/30 - i. Which is bigger: k or -11\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 - 2 = 0. Let u = -8 - -13. Let d(t) = -t**3 + 11*t**2 + 13*t + 3. Let v be d(12). Solve s*z + v = -u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*r - 93, -3*d + r + 47 = -9. Find the second derivative of -31*x**5 + 15*x + d*x - 5*x**5 wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-490) + 3\/(-15)*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -629, -2750, -6271, -11186, -17489, -25174, -34235, -44666?\n\"Answer: t**3 - 706*t**2 - 10*t + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22116?\nAnswer: 2, 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = 116. Let m = s - 1. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, -2\/5, -567?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2212 - -2209. What is the third smallest value in r, -0.3, -5, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 4*v**2 + 2 + 16*v**2 to the form y*v**2 + j + t*v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4054.97 + 4055. Which is the fourth smallest value? (a) g (b) -0.5 (c) 4\/9 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4493, 12028, 32477, 72296, 137941?\n\"Answer: 1076*x**3 + x**2 + 3416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 205*p**3 + 8*p**2 + 144*p + 138. Determine l(-1).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d + 6 = -3*v, 0 = -3*d + 3*v - 6. Let w = -138.72 + 139.32. Which is the smallest value? (a) d (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-47)*v\/(v*v**7)*v\/((v**(2\/3)*v)\/v*v) assuming v is positive.\nAnswer: v**(-305\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (-6*2*sqrt(800))\/(sqrt(1210)*-2*-2).\nAnswer: -5 - 12*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, 9481, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 - 3*w**2 - 6*w - 22. Let q be i(-4). What is o in 37*o - q + 587*o - 236*o**2 - 18*o**3 - 30*o**3 - 2*o**4 = 0?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 252 and 6.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1982*a**2 + 204*a**2 - 23*a**2.\nAnswer: -1801*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*k**2 - 265*k?\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 8*j + 5. Let s be m(7). Let l = s + -2. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*f - 0*s + 76, 5*f = 5*s + 90. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-1827)\/(-180))*15\/36*(-342)\/(-57)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 - 47*n**2 + 6*n**2 - 1 - n**2.\nAnswer: -57*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2037*m - m**2 + 930*m + 677*m.\nAnswer: -m**2 - 430*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - dca25b?\nAnswer: -dca252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4149 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - -9 - 5\/((-15)\/(-6)). Let t be g\/(14\/18) + -1. Factor 0*u**2 + 2\/7*u**4 + 0*u + t*u**3 + 0.\nAnswer: 2*u**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 111549710623 and -2.\nAnswer: 111549710621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {x: 5, l: 1, g: 2, u: 6, a: 6}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 40 = -5*l, 2*o + 3*l - 18 = 5*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let q(o) = -6*o + 26. Let y be q(8). Is 7\/(j + 42\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1. Let v = 0.5 + o. Let h be (-4)\/10 - (-6)\/30. Which is the second smallest value? (a) 2 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 9. Let y be 1160\/24 + 4\/6. Suppose y + 31 = -5*q - 2*r, 0 = -5*r + 25. Is z(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 2*p**4\/3 - 2*p**3 + 2*p**2 + 143*p. Suppose z(x) = 0. What is x?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-19*j - 3 + 13 - 9 + (j - 1 + 1)*(1 + 3 - 2) + j - 3*j + 0*j).\nAnswer: -38*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k + 20016 + 9*k - 20013)*(-4*k + k + k) to y*k**2 + s + f*k and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*h**3*r - 2*c*h**3 - 14498*c*h*r - 363718*h**3*r wrt c.\nAnswer: -4*h**3*r - 2*h**3 - 14498*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a025a896 - 1?\nAnswer: 2a025a895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 21. Let p be t - 6\/(-4) - 126\/(-12). Solve 3*h = p + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(95))\/(5*sqrt(45)) - (-5*-1*sqrt(19) + (sqrt(57)*-2)\/sqrt(3)).\nAnswer: -14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54389.\nAnswer: 137, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, -5 in ascending order.\nAnswer: -22, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000996016 rounded to 6 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 155123310 (base 6) to base 12\nAnswer: 1143536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*-2*-2)\/(((sqrt(132) - -5*sqrt(132)*3) + sqrt(132))\/sqrt(12)) + 0.\nAnswer: 8*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let -t + 7*t + 0*t + 18*t**3 + 2*t + 40*t**2 = 0. Calculate t.\nAnswer: -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1. Suppose 15 = y - 4. Suppose 3 = -8*d + y. Let s(c) = -c + 2. Determine d*b(l) - s(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**3\/f*f**4)**(-37)\/((f\/(f**(-2)*f))**10)**12 assuming f is positive.\nAnswer: f**(-499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 + j - 2. Let o(l) = -l**3 - 11*l**2 + l - 3. Let n(k) = -4*o(k) + 7*s(k). What is t in n(t) = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let f(b) = -b**2 + 4*b**2 + 6*b**2 + i. Let r = 184 - 185. Calculate f(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.062 (b) 2 (c) 1\/6 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 - -27. Let t = n - -83. Let d(x) = -x**3 - 7*x**2 - 5*x + 5. Let h be d(-6). Which is the third smallest value? (a) t (b) h (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/((z**7\/z)\/z)*z)**(10\/9)\/((z*(z*((z\/z**(-4)*z)\/z)\/z)\/z)\/(((z*z**8)\/z)\/z)) assuming z is positive.\nAnswer: z**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 225*p**2 - 4369*p - 213. Determine k(-243).\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/25)*(z**8\/z)\/z assuming z is positive.\nAnswer: z**(149\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g + 13. What is z(5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(117)*1 - sqrt(117)) + sqrt(117) + -3*(sqrt(117) - 2*sqrt(117) - sqrt(117))))\/(1*sqrt(108)\/(sqrt(21)\/sqrt(7))).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5065077 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0) + 15 - 33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*s - 474, 0 = t - 3*t + s + 309. What is the greatest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-53664)\/(-5590))\/((-14)\/(-5)))\/((-2)\/(-21))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxsshlhaz. What is prob of sequence la?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782481.\nAnswer: 3, 1260827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/1003435 and 62\/89415.\nAnswer: 9030915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 201, 181, 161, 141, 121?\n\"Answer: -20*c + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119479 is divided by 29866.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -43. Let i(j) = j - 13. Let d be i(y). Is d less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3 + 15 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-21)*z**(-25))\/((z\/(z*z**0\/z))\/((z*z*z**(-2\/3)*z)\/z*z)*z**1\/z**(2\/3)) assuming z is positive.\nAnswer: z**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1))\/((12\/(-624))\/(10\/(-40))).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8778971, 8778983, 8778995?\n\"Answer: 12*f + 8778959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-11)\/((-825)\/20))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/10*5\/4*-2. Let y(v) = v**3 - 3*v**2 + 9*v - 7. Let l be y(o). Suppose 12*w = l*w + 40. What is the closest to -0.1 in w, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-26)\/(-4) - 12\/4). Which is the biggest value? (a) -4 (b) 0 (c) z (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5176532.7 - 1208619.3. Let i = -6385184.999935 - g. Let y = i + 33. Round y to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 22 = 2. Suppose 103 = f*x - 5. Calculate the remainder when 104 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7097 + 2867 = 141*g for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m**4 - 20724*m**3 + 160203*m**2 + 64680*m = 0. What is m?\nAnswer: -539, -5\/13, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.1 (c) 0.5 (d) 2\/17103 (e) 4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:28 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 3*k**2 + 61*k**3 + 3.\nAnswer: 61*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 1 (c) -1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -519248 (base 11) to base 5.\nAnswer: -203112134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 105 = -3*s, -8*s + 2*i = -4*s + 4*i + 130 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 - y - 5. Suppose 3*n - 3 = 2*n. Suppose 4*c + 22 = -2*z, -5*z = 5*c - n*c + 31. Determine f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - 11. Let i = -23 - n. Suppose x - 6*d - 37 = -3*d, 2*d = -i*x + 166. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.424 + 6.3. Let q = 0.624 + w. Put -0.2, -1, q, 3 in descending order.\nAnswer: 3, q, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 35 - 31, 2*u - 162 = 4*a. Is u less than 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1402*p - 21 = -4*w + 1401*p, 5*w - 5*p = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - ((-2)\/1 - -3). Which is smaller: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a5 (base 16) to base 3.\nAnswer: -112021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z + 166 - 50*z - 204*z - 167 - 90*z.\nAnswer: -298*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29272 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 945\/10*(9300\/(-217) - -43)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -99. Suppose -3*n + 7 = 2*c, c + 5*n - 1 = -c. Let f = 28 - c. What is the highest common factor of f and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -0.063803\nAnswer: -0.574227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*o**4 - 2*o**3 - 215?\nAnswer: 84*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.37 + 41. Let s = b + 0.256. What is s rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -2\/3261, -1, -0.2, -1\/3 in decreasing order.\nAnswer: -2\/3261, -0.2, -1\/3, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2979407985 to the nearest integer?\nAnswer: 54584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -76, -138, -200, -262?\n\"Answer: -62*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194 or -42?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*b + 39, -r - b + 71167 - 71179 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 101 - 41. Let i(p) = z*p**2 - 34 - p**2 - 4*p**2. Give i(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4484*b - 135 = 4475*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*x - 229*x + 882 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 12*c - 11*c - 13, -852*w - 2*c = -867*w - 54 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/(-94))\/((-1)\/(3\/((-9)\/(-2))))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/(115\/6 - (-4)\/24)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-26))**45*(f*f*f**(-8\/11)*f)**10 assuming f is positive.\nAnswer: f**(-12125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 787 - 1497 + 829.\nAnswer: -2*d + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2))*y*y*y**17)\/((y*(y**(-1\/12)*y)\/y)\/(y\/(y*y**3\/y))))**(24\/7) assuming y is positive.\nAnswer: y**(338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/2*(-4)\/30.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124286393 is divided by 3425.\nAnswer: 3418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5619 (base 13) to base 16.\nAnswer: -2ef5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 h, and 1 v when four letters picked without replacement from uuuvhvzuhuvzuzv.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)**(5\/13)\/(n**5*n*n**7*n))\/((n\/((n**(7\/5)*n)\/n*n)*n\/(n**(-2\/5)*n))\/(n**(1\/3))**(3\/10)) assuming n is positive.\nAnswer: n**(-1627\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -34 + 74 - 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:57 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 87*d**5\/7 + 6700*d**4\/7 + 31735*d**3\/7 + 24070*d**2\/7 - 45312*d\/7 - 17280\/7 = 0. Calculate d.\nAnswer: -72, -3, -8\/3, -10\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*b + 3*b**3 + 39*b - 28*b**3 + 118*b.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513738907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90, 121, 196, 333, 550, 865?\n\"Answer: 3*h**3 + 4*h**2 - 2*h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 226375 - 133?\nAnswer: 226242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose -18 = -4*n - 2*z, -2*z - v*z - 14 = -2*n. What is the closest to 1 in -2, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1587 and 1588 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 19*u**2 - 14*u + 6. Let t(y) = 40 + 21*y**2 - 38 - y - 15*y**2 - 4*y. Calculate -11*t(d) + 4*z(d).\nAnswer: 10*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7286, -14585, -21892, -29207, -36530, -43861, -51200?\nAnswer: -58547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let p = 26 + -22. Let n(f) = 4 - f**2 - 2*f**a - p. Let g(l) = -2*l. Calculate n(g(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*c**2 - 534*c**3 - 527*c**3 + 1054*c**3 to the form l + t*c**3 + x*c + d*c**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 - f**2 - f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o - 13. Let h(z) = 3*z + 4. Let j(i) = 7*h(i) + 2*p(i). Let s(l) = -l - 1. What is 3*j(t) + 8*s(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r - 2*r)*(-3*r + 2*r**2 + 0*r - r**2).\nAnswer: -r**4 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 - -105. Suppose 2*b + 510 = 7*b. Let k be b\/216 - n\/(-20). Sort -0.3, k, 5, 1\/4.\nAnswer: -0.3, k, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, 62, -3, -8 in decreasing order.\nAnswer: 62, -3, -8, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 54.7. Let v = -515.4 + 518.1055. Let d = x - v. What is d rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -210 (b) 2\/9 (c) 2 (d) -1.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.283 + 5.283. What is the closest to -7 in x, -1\/5, -13, -0.02?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*f - 614, -7*f + 1560 = -2*f + 5*z. Let c be (4\/20)\/(2\/f). Calculate the greatest common factor of c and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 84*c + 80*c = 14, -4*c = -2*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 834 = 3*o, -3*i + 2422 = 69*o - 62*o. Calculate the lowest common multiple of 27 and i.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1262 = -4*b + 4*x, 3*b + 5*x = 1838. What is the highest common factor of 27 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 13*j - 21. Let f be m(-9). Solve -5*h - 4*b = -12, -2*h + f = 3*h + 5*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 180*t**2 - 1389*t - 2349. What is o(-172)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 824933114 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: In base 9, what is -6 + 11457?\nAnswer: 11451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(245))\/sqrt(7) - (sqrt(35) - (sqrt(140)\/(1*sqrt(4)) + sqrt(35) + sqrt(35))))\/(-1*(2*sqrt(5) - sqrt(5))*-5).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a\/(a*a**(1\/4)\/a))\/a))\/a)\/(a*a**(3\/11)) assuming a is positive.\nAnswer: a**(-89\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + 5 + -3 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s = 16*s + 33 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -329393.5 and -0.2.\nAnswer: 65878.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = 0, 6*w - 10*w = -2*c + 50 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -227. Let w = y - 105. List the prime factors of w.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -11*h + 11142 - 11307, h - x + 15 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2783 and 857670?\nAnswer: 9434370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1171409, 2342875, 3514341?\n\"Answer: 1171466*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/8 of a gram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2\/3, -1, -4, 2, 186 in decreasing order.\nAnswer: 186, 9, 2, -2\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1443 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2 - 1 = -3*s, 3*t = -5*s - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 72 = 0, 55*a - 25*a + m = 28*a - 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 966708 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2. Let o(p) = 96*p. Give o(q(l)).\nAnswer: -384*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2\/2 + 199962*d + 799872 = 0.\nAnswer: -4, 133312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 206468990?\nAnswer: 619406970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -24915\/9601 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u + 3*u)*(-6 + 43 - 5)*(-u**2 - 2 + 2).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 16\/(-28) + 71744\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*m**2 + 2690505*b**3*m**2 + 5*b**2 + 131088*b*m**2 wrt b?\nAnswer: 24*b*m**2 + 16143030*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 6. Let k be j(4). Let f = -373 + 378. What is the greatest common divisor of k and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -675 + 706. Calculate the remainder when 61 is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1802 divided by 8764.\nAnswer: -901\/4382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -124 (b) -3\/71 (c) -1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -43. Suppose -2*w - 5*n + 108 = -4*n, -w + 3*n = -54. Let l = w + s. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38446586 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -5\/3*y**3 - 129*y + 1\/20*y**5 + 5\/12*y**4 + 0 - 19\/2*y**2. Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-4 - -8) - 6. Which is the nearest to -1\/3? (a) -0.1 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 202*z**2 + 433*z - 5264. Give l(204).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 45. Which is the closest to 0.1? (a) -1\/2 (b) d (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 553 and -48835812.\nAnswer: -48835259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3913697, -7827388, -11741081, -15654776?\nAnswer: -19568473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4903.3017 rounded to the nearest ten?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3902*w - 292659. Determine t(75).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1049*f*t + 439*t with respect to f.\nAnswer: -1049*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -18. Suppose 4*y + o - 5 = 1, -t*y = -5*o - 14. Calculate the remainder when 1 + 7 + (-4)\/y is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 56*w + 664. Determine c(15).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.43314 days in minutes?\nAnswer: 120143.7216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27db6a (base 16) in base 12?\nAnswer: -a5b74a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + 6 - 8) + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -9, 1\/619.\nAnswer: -9, -0.7, 1\/619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -167, -165, -163, -161, -159?\n\"Answer: 2*i - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 50290268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136937442 to the nearest integer?\nAnswer: 11702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/15256 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2106 and -17\/12.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + 2*sqrt(68) - sqrt(68))*-3)**2 + (sqrt(68) + 3)**2 + -1 + -6*(sqrt(68)*-1)**2.\nAnswer: 192*sqrt(17) + 2773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-26\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(8\/180). Let q be (-3)\/y + (-2)\/(-10). Suppose -c + 6*c - 110 = q. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h**2 + 4*h - 2. Let k be f(3). Let q = k + 151. Calculate the remainder when q is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 378387819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiititii. What is prob of picking 4 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(3\/7)*g*g)*g)\/g**(-1\/2)*g**10\/g**(-9))**(2\/61) assuming g is positive.\nAnswer: g**(267\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 2*w**5\/15 - w**4\/24 + w**3\/6 - 2*w**2. Calculate n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1174.3 - 1174. Which is the nearest to 2\/5? (a) z (b) -2\/3 (c) -1\/7 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 4 + 300*c**3 + 29 - 10.\nAnswer: 300*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -18*d + 30. Solve -4*b = d*y - b, 0 = -5*y + 2*b - 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/5 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.16, 19, 3\/7, 3, -25 in descending order.\nAnswer: 19, 3, 3\/7, -5.16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 - y**2 - 4*y - 4. Let s be u(-3). Let b = -70 - s. Suppose -3*o = 4*d - b, -d = -4*o - 1 - 23. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -4, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75026*j*k**2*m + 3*j*m + 4778*j wrt k.\nAnswer: -150052*j*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00162916981 to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + (-221 - -224)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/50 + 9*g**4\/10 + 58*g**3\/15 + 1714*g. Factor m(i).\nAnswer: -2*i*(i - 29)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100000111000101111 - 111?\nAnswer: -11100000111000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 504\/96*(-1 - -5). Solve -5*q - h = -1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/59563862 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*t - 5*t = 21, -3*q + 13*t - 543 = -474 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:26 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*r + 447*r + 973*r**3.\nAnswer: 973*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 + 4 = 0. Suppose -4*p = v*t - 37, t = -3*p - 3*t + 29. Let f be 2 - (p + 2\/(-2)). Solve -m - x = -f*m, 2*m - x = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3003.4404913 to 1 decimal place.\nAnswer: -3003.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -2. What is the tens digit of (-35 - -1)\/(z + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**3 - 22*s**2 + 279*s**2 - 46*s**2 - 15*s**3.\nAnswer: 3*s**3 + 211*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1212 - 872 = -145*o + 599 + 362 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*a - 9, 66*a + 7 = 2*t + 65*a. Put t, 5, -4 in ascending order.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-46)\/161)\/(3\/233947)*3. Is (-2)\/(-4)*v\/(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40530 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 2 + -2 - (3 + (sqrt(891) - (sqrt(891) + 2))).\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - (77 - 76)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-156)*4641\/1428?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2287\/40 - 224\/5. Find the common denominator of h and -95\/74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187789250 by -14845.\nAnswer: -12650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2*o. Let w(f) = -15*f**3 + 2*f**2 + 4*f - 4. What is 2*j(z) - w(z)?\nAnswer: 15*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 - 2053\/8. What is the closest to -1 in m, 0.4, -4, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((((z\/z**(2\/5))\/z)\/z)\/z))\/z**1*(z\/z**4)\/(z\/(z\/((z**(3\/2)\/z)\/z*z))) assuming z is positive.\nAnswer: z**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121100212 (base 5) to base 4.\nAnswer: -21212330113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 + 41*d - 74. Give v(-19).\nAnswer: 1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8539 and 1009?\nAnswer: -8615851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5))**(1\/11)\/(c\/((c*c**8)\/c)*c\/(c\/((c**(4\/5)*c)\/c))*c))\/(((c\/(c*c**(3\/4)*c))\/c)\/c**(3\/8)*c**4*c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(5317\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2720 - -2866. Put -3, g, 1 in descending order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y + 474870*y**2 + 16*y**3 - 474870*y**2 to k + v*y + d*y**2 + u*y**3 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 688 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/14 + (-670)\/70 + 10. Let g(y) be the third derivative of -1\/10*y**6 + 2*y**2 + 0 + 1\/2*y**3 + 0*y - 3\/4*y**4 + 9\/20*y**a. Factor g(b).\nAnswer: -3*(b - 1)**2*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216687900 rounded to the nearest one million?\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 6*-2*sqrt(85))\/(sqrt(5) + (sqrt(30)\/sqrt(6) - sqrt(5))*1))**2 + -3 + -4*(sqrt(85) - (sqrt(85) - 1*sqrt(85) - sqrt(85)))\/sqrt(5)*-6.\nAnswer: 48*sqrt(17) + 2870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1 - -1)*-1. Let a be (1*h)\/((-6)\/(-15)). What is the second derivative of -6*k**5 - k**a + 2*k**5 + 2*k + 0*k wrt k?\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 + 0 = -7*b. What is the units digit of 0 + ((-2716)\/b - (-1)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 5854516?\nAnswer: -5854535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 240.46 and -2.\nAnswer: -480.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.00085 + 41. What is n rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -456 + 3686. Calculate the greatest common factor of a and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3370*q + 15*q**2 - 3331*q - 3*q**2)*(3*q**2 - 6*q**2 - 2*q**2) + 2*q**2 - q**4 - 2*q**2.\nAnswer: -61*q**4 - 195*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 47*c - 87. Determine q(-44).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*p**2 + 3\/4*p**5 + 3\/2*p + 15\/4*p**4 + 0 + 27\/4*p**3.\nAnswer: 3*p*(p + 1)**3*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1290199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1011, 1028, 1061, 1116, 1199, 1316?\n\"Answer: s**3 + 2*s**2 + 4*s + 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/2*-2. Let y be ((-82)\/(-3))\/(2\/(-15)). Let r = 2667\/13 + y. Which is the nearest to 1? (a) 0.2 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -w + 2882, -f + 92*w - 90*w + 963 = 0. Sort 4, f, -0.4 in decreasing order.\nAnswer: f, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3644404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 38*z**2 - 7*z - 267. Calculate a(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 24. Suppose 0 = -2*t + 6*t - 16. Which is the second biggest value? (a) 5 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 2*sqrt(192) - sqrt(192))*4.\nAnswer: -32*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 16. Suppose j - 3*i + d = 0, 3*j = -0*j + 3*i + 12. Suppose 3*t = j*t + 4*u - 64, 16 = 2*t + 4*u. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2. Let t(d) = 40*d + 3. Let o(y) = -p(y) + t(y). Let s(w) be the third derivative of -w**4\/4 - 149*w**2. Calculate s(o(k)).\nAnswer: -240*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65.33 + 66. Let q = d + 16.33. Let b = -71\/68 - -5\/17. Put b, q, -2 in descending order.\nAnswer: q, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b - 252 = -48. Let k(g) = 60*g + 74. Does 32 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 3) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 17. Suppose -m*f + 50000 = -2*f. What is f rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175 + 169. Let o(l) = 2*l**2 + 5*l + 3. What is o(b)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16\/2291 + 22294\/2536137. Let x = -2093\/1107 + y. Find the common denominator of 117\/10 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 1845*v**2 + 11061*v + 16587.\nAnswer: (v + 3)**2*(v + 5529)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n - 6 = 0, -2*z = 5*n - 2. Let m(w) = w**3 + 3*w**2 - 3*w + 9. What is m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137 + 2?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25975275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 139*p + 75*p + 74*p to j + s*p + b*p**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 1 - 2*d - 6*d**3 + 3 - 9*d**3 - 6. Is a(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1248)\/(-6))\/8)\/(-5)*(-10)\/(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 - n. List the prime factors of j(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7312685.71 - -1.3?\nAnswer: -7312684.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 - (-24)\/9. Let u be -19*(-1)\/(f\/6). Suppose 2*r - 2*c + 0 = 24, -5*r + u = -4*c. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -686011072 at least as big as -686011074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8851 - -8865. Sort -2, 0, z, -4, -1 in increasing order.\nAnswer: -4, -2, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 4, a: 1, i: 1, z: 2, d: 2}. What is prob of picking 2 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44b + 35?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3090, 5, -150, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3806000 is divided by 3253?\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -23*v + 21. Let n(h) = h - 1. Let k(z) = d(z) + 3*n(z). What is the first derivative of k(o) wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 770978 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 4 + 0)*(2*f + 0*f - f) as b*f + w and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 114.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*b - 5695 = 6124 + 901 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/81)\/(7\/(63\/12)). Which is the biggest value? (a) -22518 (b) g (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1317 - 615. Let g = -885 - -1334. Let l = g + p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 - 0.38. What is the nearest to v in -0.1, -0.2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 76. Let b be ((-25)\/x)\/(-5)*4*1. Suppose -5*j - 3*m - 2*m + 905 = 0, -523 = -3*j + b*m. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 8 + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - n**3 + n**3 - 5*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46352 by -41.\nAnswer: 46352\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 16*r**2 - 25*r - 18. What are the prime factors of h(-14)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**3 - v**2 - 6*v + 2. Let g be k(-5). Let x = 1889 + -1513. Let u = x + g. What is u rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673 + 682 - 3401*q - 1355.\nAnswer: -3401*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - 39. Let z = 35 + r. Let d = 41 + z. Do d and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 301. Calculate t(6).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*z + 2034, -2*z + 22 - 26 = 0. What is the remainder when x is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/24 - (-332)\/16. What is the first derivative of -61*f**3 + 64 - 19*f**3 + d*f**3 wrt f?\nAnswer: -177*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 93*d**3 + 343*d**3 + 12.\nAnswer: 436*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054396 to three dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 6*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381169*f**4 - 2*f**3 + 504665*f?\nAnswer: -4574028*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 14856?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + (-29 - -25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -21, -16, -9, 0, 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228386156 is divided by 240.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -193*g + 7176919 + 624756 - 607021. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3843*l**3 + 344*l**2 + 61785985 wrt l.\nAnswer: 11529*l**2 + 688*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teeeeeeteeeeeteeetee. What is prob of picking 4 t?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o + 412 - 97 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n - 562. Does 14 divide i(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3124454 + -550?\nAnswer: 3123504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 = -5. Suppose 0 + k = 3*c. Let u be (-60)\/(3*c\/6). What is u rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f + 20*f + 65 = -a - a, 60*f - 56*f - 18 = 2*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-4)\/5))\/(4\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 9*c**2 - 7*c - 5. Let t be k(8). Is 27\/t*(-2)\/(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 22, -1646, 2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*g + 5883955 + 461469 = 0. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q**(-2\/5)\/q*q)\/q*q)*q)**(-2\/33)*q**(-2\/5)*q*q*q**(5\/4))\/((q\/(((q\/(q**6*q))\/q)\/q*q)*q\/q**(-2\/3))\/(q**(-1))**(-18)) assuming q is positive.\nAnswer: q**(483\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/171*-45*8\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.2 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + -3 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let h(x) be the second derivative of -71*x**4\/2 + 903*x. Calculate u(h(l)).\nAnswer: 426*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-152208)\/(-231) - (-3)\/33.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*o - 108 = -14, -4*o - 48 = -z. Solve 5*y = n, 5*y + 42*n - 47*n = -z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 1 s when three letters picked without replacement from fsffz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214.3 + 214.328. Which is the closest to m? (a) 3 (b) -0.5 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746617321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*g = 120, 3*b = g + 264 + 135. Suppose 235 = 5*f + 4*o - 2*o, -3*o = 3*f - b. Suppose 5*q - f = -9. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*j**2 - 39*j**2 + 53*j**2 + 16*j**2.\nAnswer: 110*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 47. Let i(z) = z**3 - 13*z**2 + 13*z - 13. Let w be i(12). Which is the smallest value? (a) x (b) -0.25 (c) -1\/2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.73 >= 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16862371181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15516 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943439155 to the power of 1\/2, to the nearest integer?\nAnswer: 44084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -43. Let s be 30\/9*(-12)\/(-50). Let i = -7.412 - -6.412. Which is the second smallest value? (a) s (b) n (c) -4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 177288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010101011111 (base 2) to base 9.\nAnswer: 7448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 416\nAnswer: 43\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmy when three letters picked without replacement from {m: 2, y: 1, b: 3, q: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -14, -2, -5, 3\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1118 + 0.0118. What is the nearest to 0.2 in i, -0.5, 9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, i: 2, t: 1, o: 1}. Give prob of picking 1 i and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3653627 kilometers to meters.\nAnswer: 365.3627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5203087 + 2?\nAnswer: 5203100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -11 + 15 + -18 + 9 + 7\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3542 - -206.7458. Let o = 207 - b. Let h = 0.3 - 0.2. Sort o, -0.5, h in descending order.\nAnswer: h, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*p - 37, 140*q = 138*q - 3*p + 31 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let f = 6 + q. Let v = f - 3. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, q: 3, i: 5}. What is prob of sequence bi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(18\/(-8) + 3). Let b = 1 - 1.4. What is the third biggest value in b, n, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*r + 434 = 2*d, 5*d = -r + 2208. What are the prime factors of d?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 1541592*c + 54 = -1541573*c, -18 = -3*c for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*k = -42*k + 1800 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1022, 1045, 1080, 1133, 1210, 1317, 1460?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3262? (a) 6\/7 (b) 2 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 27666360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:13 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 + 13.8. Let v = -40 - -38. Put v, t, -2\/5 in ascending order.\nAnswer: v, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.83103ug in milligrams?\nAnswer: 0.09483103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187*m - 1222*m + 37350 = 1380*m for m.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 32, 0.4, -2, 3, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 9*t - 10. Let s(h) = -6*h**3 - 2*h**2 - h + 1. Let b be s(1). Calculate n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -4*r, 2*z + 5*r = 5. Let m(t) be the third derivative of -t**4\/24 + t**3\/6 - 3*t**2. Let c be m(z). Let n(a) = -2*a - 6. Determine n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 121*i - 4*i**4 + 119*i - 2*i**3 + 123*i**2 + i**3 + 3 as t + l*i**3 + v*i + y*i**2 + x*i**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152644921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 13. Let r be l(-4). Let y be (0 + 0\/5)*r\/(-9). Is -2\/187 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2592077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 5880*p - 17637.\nAnswer: -(p - 17637)*(p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -16\/13, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43167, -12, -10 in descending order.\nAnswer: -10, -12, -43167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3.2. Let i be (-51)\/(-12) - 2\/8. Suppose i*r + 25 = -r. Sort r, -1\/3, q in ascending order.\nAnswer: r, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 161, 356, 629, 980?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 209\/853944 and 149\/6630.\nAnswer: 4269720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + v - 1. Let y(g) = -2*g**3 - 9*g**2 + 9*g - 9. Determine -18*o(r) + 2*y(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(288) + sqrt(18) + sqrt(18))\/(sqrt(1296) - sqrt(1296)*2).\nAnswer: 11*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from {m: 2, v: 2, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l - 93 - 1089 = -115 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 1, z: 7}. Give prob of picking 2 r.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7054 or 7064?\nAnswer: 7054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(-27))**(-33) assuming n is positive.\nAnswer: n**(-1782\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123725803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5200 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/((-2 - 4)\/3). Let l be (2 - m)*37\/(-2). Suppose -w = 4*q - l, -w + 2*q = -0*w - 61. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 1, r: 3, g: 1, a: 2}. What is prob of sequence pgr?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from occcooccttccctoctoo. Give prob of sequence coot.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4)*(72*a + 6 + 73*a - 138*a) in the form y + n*a and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 26276 = -7016. Let h = -317 + o. What are the prime factors of h?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446104 is divided by 63724.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -665, -1\/9, 2, -6 in decreasing order.\nAnswer: 2, -1\/9, -6, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3033 by 212.\nAnswer: 3033\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011384883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15148.\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/90*-6*(-10)\/((-240)\/(-84)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 4)*(-2 - 1 - 2) + 4 - 2 + 0)*(6*m - 3*m + 1 - m).\nAnswer: 14*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156.7 + -11.7. Let o = 145.05 - u. Which is smaller: 0.03 or o?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/22*43626\/(-5949)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605194, -1210406, -1815618, -2420830, -3026042?\nAnswer: -3631254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165927*n - 165927*n + 40*n**2.\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 4*i - 11. Calculate the remainder when u(7) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(288)*6)\/sqrt(6))**2.\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:58 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111120 (base 3) to base 8\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 2*w - 5*s + 26, -11236*w = -11201*w + 5*s - 455 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 772, 1527, 2282, 3037?\n\"Answer: 755*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 4*g - g)*(3*g - 4*g - g) - g**2 + 2*g**2 + 0*g**2 - 22944*g**2 + 7226*g**2 - 14367*g**2 in the form k*g**2 + l + v*g and give k.\nAnswer: -30086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 22 - 6*n)*(-35*n + 9*n - 10*n)*(2 - 1 - 3) in the form i*n + v + q*n**2 and give q.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**2 + 0*h**3 + 1\/48*h**4 - 1\/16*h**5 + 1 + h. Let k(a) be the first derivative of u(a). Determine p, given that k(p) = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)\/t*t\/t**(5\/2)*t*(t\/(t\/t**(-2\/21)))\/t**(-3))\/((t**(-2))**(-26\/3)*t**(2\/7)*t**(-7)) assuming t is positive.\nAnswer: t**(-129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + d = -21157 - 17285, 4*l - d = -153808. What is l rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104744, -209455, -314168, -418883, -523600, -628319, -733040?\nAnswer: -837763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19997*g - 19978*g + 39965*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3 + (-4 + 1 + 2)*(-2 + 3 - 2))*(2 - 2 + d**3).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 1, r: 16}. What is prob of picking 1 e and 2 h?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)*r**(3\/7))\/((r**(-3\/11)\/r)\/r*r*r**36) assuming r is positive.\nAnswer: r**(-3873\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3597, 29791, 100891, 239349, 467617, 808147, 1283391, 1915801?\n\"Answer: 3742*h**3 + h**2 - 3*h - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228 + 225 - 3*l - 453.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 = -5*s + 868. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 57 + 13*x**3 - 12*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 21*o**2 - 279*o\/2 - 216.\nAnswer: (o - 48)*(o + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73635*a**3*z**5 - 156*a**3 + 2*a**2*z + 16*a*z wrt z.\nAnswer: 1472700*a**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 547 - 253. Let g(w) = -16*w + 571. Calculate the remainder when u is divided by g(32).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3805.4 - 3805. Sort -0.5, n, 2.3, -2 in decreasing order.\nAnswer: 2.3, n, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 4*y - 19)*(0*y + 2 + 2*y - y)*(0*y - y + 0*y) to the form l*y**2 + h*y + v + j*y**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2 + 11*w**2 + 7*w**2. Is 5 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759002 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 5) in base 2?\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**2))**(-7)\/(u**(-2\/7)\/u)**(-40) assuming u is positive.\nAnswer: u**(-262\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 86, 218, 444, 788, 1274, 1926, 2768?\n\"Answer: 4*n**3 + 11*n**2 + n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 897353 and 329221.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -4*z**3\/3 - 144*z**2 - 5148*z - 2957. Suppose f(y) = 0. What is y?\nAnswer: -39, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - u - 87 = -38, -3*u = 2*u - 165 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 31. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/32 and 79\/5856.\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1675698 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.1091 and 0.14.\nAnswer: -4.9691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 137*s + 2161 + 2837 = 0 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/9 + 94*n**4\/3 - 11788*n**3\/9 + 138344*n**2\/9 + 55760*n + 351424\/9 = 0. What is n?\nAnswer: -2, -1, 34, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((2 + 0)\/18)\/((-520)\/(-624))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*r + 2*t + 23, -4*t + 4 = 0. Suppose 0 = -r*i + 18011 + 21694. Let x = i + 7859. Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -892301*g**3 - 1040*g + 249?\nAnswer: -5353806*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.259 - -1.234475. Round x to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by 5?\nAnswer: -189\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let y(z) = 2*z - 9. Let o be y(7). Let m(n) = 3*n + o*n - 2*n + 1 + n. Suppose 4*f = 2*h + 5 - 1, 1 = f - 4*h. Give f*m(c) - 5*l(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9956.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409776392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019917654 rounded to 7 decimal places?\nAnswer: -0.0019918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 8*z**2 + 4*z + 6. Let s be m(-6). Let f(l) = 6*l**2 + 101*l - 17. Let p be f(-17). Does 4 divide p + s - (-16 - -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -9. What is the nearest to b in -2, -0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -247*a - 529. Let k be s(-2). Is k <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i - 6. Suppose 4*d - h = -10, -3*d + 0*d = 3*h. Is i bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -992, -4012, -9188, -16640, -26488, -38852?\n\"Answer: -20*d**3 - 958*d**2 - 6*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.67 - -2.33. Let h = 0.13 - 5.13. Which is the closest to -5? (a) -1 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**2 + 4*u - 502 - 503 + 996 - 4*u.\nAnswer: -20*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*k = -k + 67, -49 = -3*f - k. Let z(r) = -5*r**3 - 3*r**2 - r. Let c be z(-2). Let b = c - f. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 61046.7951379?\nAnswer: 61046.8951379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.316, -0.3, 472?\nAnswer: -0.316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -418\/5 + 86. What is the closest to -4\/3 in g, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(1 - 2 - 1)*(-1 + 1 - 2)*(28*g + 7 + 2*g - 8) as f*g + i and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38556 and 154564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*s**2 - j**3*s + 82*j**2*s - j*s**3 + 55*s**4 wrt s.\nAnswer: 2*j**3 - 6*j*s + 660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**3\/2 + 27*h**2\/2 + 46*h. Let s be b(6). Is 25 a factor of s\/(-20) - 3\/(-12) - -71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 - 23672787384.\nAnswer: -23672787384.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/5, 57\/2, -69, -4 in increasing order.\nAnswer: -69, -4, -2\/5, 1, 57\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372420?\nAnswer: 2, 3, 5, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2468775328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -1587, -4057, -7639, -12327, -18115, -24997, -32967?\nAnswer: -42019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -206558 - -37?\nAnswer: -206521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/16*(-7 + -1). Which is the nearest to 1\/3? (a) m (b) 2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3724*g + 1864*g + 1861*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g - 91. Let f be j(-5). Let v(k) = 23*k**2 + k + 1. Give v(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 638547 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - 16\/(-7). Let p be ((-2)\/4)\/(u\/(-4)). Let b = -3 + 5. Solve -p = -3*o + b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/30 - 17) + (-9)\/(-30).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6508*w**4 - 1125*w**2 + 2*w wrt w?\nAnswer: -156192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23959182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c**(2\/55)*c)\/c))*c**(-21\/5)\/c)\/(c*c*c**2)**32)**(-19\/3) assuming c is positive.\nAnswer: c**(139156\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3)\/(0 + -1). Suppose -7*z = m*a - 4*z - 330, 2*z = -6. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 242*b = 15, -5*a = -5*b + 684 - 709 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 + 3*z**2 + 5*z**2 - 2*z**2 + z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24640 is divided by 615.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111816 and 27.\nAnswer: 3019032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*r + 1. Let o(g) = 3*g**2 + 1 - 3*g**2 - g**2 - g + 0. Let v be o(r). Do v and -1\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2549, 2480, 2403, 2318, 2225?\n\"Answer: -4*n**2 - 57*n + 2610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/30)\/(-2) + (-1935)\/25. Let b be (24\/54)\/((-14)\/v). Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553584.7 millilitres in litres?\nAnswer: 553.5847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 7*r**2 + 7*r - 10. Let p be h(6). Let l be 6*-10*p\/10. Calculate the greatest common divisor of 204 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 165121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(98\/(-35))\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 9*t**2 + 2*t + 1. Let m be i(-9). Let w be m\/((-3)\/(-9)*3). Let r = w + 39. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 * -1.4\nAnswer: 176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*r**2 - 207*r**2 + 4*r - 8*r in the form d*r + m*r**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = s + 15, 5*s = 2*s - 2*z - 6. Which is the second smallest value? (a) -1\/7 (b) s (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + v - 12. Let c(f) = 1 + 3 - 3 - v*f. List the prime factors of c(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23720110 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11016 and -897.9.\nAnswer: -11913.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*t**2 + 529*t**2 + 526*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/2)*t\/(t\/t**(1\/6)*t) assuming t is positive.\nAnswer: t**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*t - 15, -4*m + 24 - 73 = -5*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237367 and 53599?\nAnswer: 1661569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 + 71 + 3*d**4 + 5*d**3 + 3*d - 200 - d**3 + 66 + 3*d**2 in the form r + x*d**2 + w*d + q*d**3 + j*d**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 19*m - 15. What is o(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835150045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (4*sqrt(252)*1)**2)*-6.\nAnswer: -24192 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, g: 5}. What is prob of sequence zggg?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 97219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 72*g**2 + 27*g**2)*(-1 - 3 + 1).\nAnswer: 135*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70 - (26 + -13))\/(1\/(-7)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08508754 and 4?\nAnswer: 0.34035016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0 - 4\/735*t**7 + 7*t**2 + 1\/70*t**6 + 1\/84*t**4 + 0*t - 2\/105*t**5 + 1\/1176*t**8 + 0*t**3. Find k, given that v(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*l - 14, 3 = -3*b - 5*l + 30. Suppose p = -5*v + b + 11, 3*p = 0. Solve 5*f - 11 = 4*m, -m + v*f + 0 = 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81798692 to the nearest integer?\nAnswer: 9044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3370 - -91013\/27. Calculate the common denominator of 14\/45 and r.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 - 241313?\nAnswer: -241357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24051 is divided by 751?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*y**2 + 8434 - 8434.\nAnswer: -519*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 - -334. What is the least common multiple of z and 21?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00625341322 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*c**3 + 1049*c**3 + 1226*c**3 - 211*c**3 + 66*c**3.\nAnswer: 1747*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -16*d. Let o(i) be the first derivative of i**2 + 11. Calculate o(t(h)).\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by (-6 - 14)\/(-5)*5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/8)\/(2\/8). Is k less than or equal to 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*y - 2. Suppose -n = -y*n + 24. Is 2 a factor of (9\/(-6))\/((-9)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49259.1 + -1106.\nAnswer: 48153.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 5.9. Let j = -17 - -19. Suppose 2*q - j*g = 6, 0*q - 12 = q + 2*g. Which is the second smallest value? (a) -3\/5 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 154, -2, -2\/37, -1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 4. Let l = -48 - -48. Let t be x(l). Suppose -2*v + 310 = 5*p, -t*v + 5*p + 253 = -337. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 335670, 335668, 335666, 335664, 335662, 335660?\n\"Answer: -2*h + 335672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3747542 divided by 2\nAnswer: 1873771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(2940)*-2 + sqrt(2940))\/(sqrt(36)\/(sqrt(12)\/sqrt(4))).\nAnswer: -28*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39110.7 and -1.43.\nAnswer: -39112.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10372*t**4 + 20*t**3 + t**2 - 10367*t**4 - 30*t - 2*t**2 + 6*t**2.\nAnswer: 5*t*(t - 1)*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o - 5. Suppose -t - 22 = -3*t. Calculate the remainder when s(3) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000399794 rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133045910 rounded to the nearest one hundred thousand?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -56, 6, -1\/6?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-83083)\/(-26) + (-33)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**6\/60 - s**5\/12 + s**4\/6 - s**3\/6 - 2*s**2 + 36*s. Factor r(m).\nAnswer: (m - 1)**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12527*f**2 + 12466*f**2 + 508 - 24991*f**2.\nAnswer: 2*f**2 + 508","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*y**3 - 379*y**3 - 1404*y**3.\nAnswer: -1579*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 2. Let m(i) = -i - 2. Suppose -4*t + 7 + 1 = 0. Let v = 1 + 1. Suppose -z + 5 = k, 0*k = -v*k + 2*z + t. Calculate k*b(u) - 4*m(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1155 divide 24097920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 20*u - 3. Let v be i(6). Put -4, v, -2, 3 in ascending order.\nAnswer: -4, -2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-6)\/4)*(-8)\/132*-44. Let c(u) = -4*u - 3. Calculate c(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1600 and 5920.\nAnswer: 59200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 4. Let j(x) be the first derivative of 13*x - 38. Let m = -6 - 3. Let r(u) = -3. Let y(o) = m*r(o) - 2*j(o). Determine -2*y(h) - z(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7203, 14337, 21481, 28641, 35823, 43033, 50277?\n\"Answer: d**3 - d**2 + 7130*d + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -310961 + 42?\nAnswer: -31091a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**5\/20 + x**4\/6 - 5*x**3\/6 - 2*x**2 + x. Let z be k(-3). Suppose z*n = 4*n - 10. Let i(c) = 2*c - 5. Give i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3055*d + 3055*d - 14*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -199142 or -199141?\nAnswer: -199141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 13, -173 in increasing order.\nAnswer: -173, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -889, -1577, -2087, -2329, -2213, -1649, -547, 1183?\n\"Answer: 15*p**3 - p**2 - 790*p - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:10 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 89521 and 89521 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 64.49\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170 or 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -29. Let z be -1 + h\/(-2) - (-13 - -1). Let l be 2 - (1\/1)\/(z\/(-27)). Let a(o) = -3*o + 1. Give a(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7 - (44 + -124 + 134 + 1 + -11)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 9 = 2*z. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {n: 2, m: 1, p: 4, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-846)\/(-2)*(-6)\/3. Let u = 271758 - 272605. Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -629*i - 608. Let y(f) = -209*f - 204. Let h = 454 + -461. Let j(s) = h*y(s) + 2*b(s). Differentiate j(q) with respect to q.\nAnswer: 205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0658129 milligrams to tonnes.\nAnswer: 0.0000000000658129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4686, -76, 4.\nAnswer: -4686, -76, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -386, -379, -362, -329, -274, -191, -74?\n\"Answer: j**3 - j**2 + 3*j - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 3*s**2 - 2*s - 3. Let o be n(-3). Suppose -o*y + 3 = -0*y. Suppose r + 3*r = k - y, -5*r + k = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6121\/3140 - -47\/157. Calculate the common denominator of -143\/162 and o.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1852 divided by 2\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-3 + (-116)\/(-36)) + -2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, t: 2, a: 5}. Give prob of picking 1 a and 2 t.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -13*k + 12*k. Let q(d) = -2*d - 3. Suppose -3*n = -f + 3*f - 19, -4*f + 5*n = -5. Let t(u) = 3 + 6*u - 3*u + 2. Give f*t(l) + k*q(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3450 (base 10) to base 3\nAnswer: -11201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -315 (b) 687 (c) 2 (d) -2\/15 (e) 1\/4 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -5*s**3\/6 + 19*s**2\/2 - 16*s. Differentiate v(y) wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 times 423811?\nAnswer: 186053029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 287?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 62*x**2 - 13*x - 48. Let u(l) = 42*l**2 - 8*l - 31. Calculate -8*u(v) + 5*y(v).\nAnswer: -26*v**2 - v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*o - 4679290 + 4677318 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -6, -3 in decreasing order.\nAnswer: 8, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6 + 0)\/(108\/(-249768))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*d + 4*f + 111, 0 = 4*d + f - 96. Let h = 21 - d. Let u(w) = -15*w**3 + 3*w**2 + 3*w + 3. What is the units digit of u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 16*t**2 - 29*t - 29. Calculate m(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose 0 = 24*r - 6*r. What is the closest to r in p, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 divided by -5.\nAnswer: -288\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by -137.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*31\/(2480\/(-96))*1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19395*t**2 - 8918*t**2 + 5158*t**2 + 350*t**2.\nAnswer: -22805*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 15\/(-13) + (-8376)\/(-27222)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:09 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75118273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10570863.\nAnswer: 3, 37, 95233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14588 divided by 14.\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59088775 and 129425?\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 4*m**2 - m. Suppose 4*z - 50 = -5*u, 5*u + 1 - 6 = 5*z. What is the remainder when u is divided by y(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.9 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.08 (c) -1\/5 (d) 3 (e) -33.0602\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140252887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-34427)\/1730 + 2*(-2)\/40\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3408 - -3412. Put u, 10, 23 in increasing order.\nAnswer: u, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 28*a**5 - 120*a**4 + 116*a**3 + 88*a**2 - 144*a + 32 = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 9. Let a be x(-29). Find the common denominator of 3\/(-72)*a - (-1 - -2) and -65\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:48 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3877 - 2546. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17148544 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41877 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 476570 (base 12) in base 3?\nAnswer: 2011111202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.851 to one dp.\nAnswer: 20.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*t**3 + 42*t**3 - 95*t**3 + 68*t**3.\nAnswer: 64*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.6. Let t = -4\/5 + 11\/20. Let p = 0.5 - 0. Which is the third smallest value? (a) t (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + ((sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + 5*sqrt(77))))*-6 - sqrt(77) - sqrt(77)) + sqrt(77))\/(sqrt(495)\/sqrt(5)).\nAnswer: 31*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 64667+0.25\nAnswer: 64667.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 200100, 200088, 200060, 200010, 199932, 199820?\n\"Answer: -d**3 - 2*d**2 + d + 200102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1 - f**3 - 3*f - 4*f + 9 + 7*f**2. Let r be b(6). Suppose r*a + i = 5*a - 24, -3*a - 5*i = -42. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41002 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125879 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 595911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/5)\/h**(-2)*(h**(-1\/4))**(-1\/29))**(12\/5))**(1\/21) assuming h is positive.\nAnswer: h**(817\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59ab (base 13) to base 7.\nAnswer: 51605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1229, 3580, -3\/5.\nAnswer: -1229, -3\/5, 3580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-5*(-1)\/15*-48?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8*g - 2*g + 3*g**3 + 73*g + 0*g as i*g**2 + w + n*g + v*g**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -16*m - 2. Let j(t) = -t**2. What is i(j(w))?\nAnswer: 16*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1269*m - 2532*m - 11*m**2 + 1263*m - 18*m**2.\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53, -726, -2027, -3850, -6195, -9062, -12451?\n\"Answer: -261*y**2 + 4*y + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -39. Let k(q) be the first derivative of -q**3\/3 - 7*q**2\/2 - 6*q + 2. Calculate k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 + 4*i + 1. Let s be p(-3). Let q be 4 - 4 - s\/(-2). Let u = 5 + q. Which is the third smallest value? (a) -0.6 (b) u (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8688 and 535680.\nAnswer: 96958080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67741 (base 12) to base 4.\nAnswer: 201211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhi when three letters picked without replacement from {h: 14, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d - t = -2, -d - 4*t + 3 = 0. Is d + 1\/((-1)\/(-24)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/5 - 1760179*f + 6600669\/5.\nAnswer: (f - 2200223)*(4*f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 197*l = 783, 0 = 2*y + 13*l - 10*l - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -13*u + 16. Suppose -u*d - 2*x = -82, 2*d = 3*d - 3*x - 38. Solve 3 - d = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 - 45*n**2 - 7 + 7.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 212, 1753, 5956, 14141, 27628, 47737, 75788?\n\"Answer: 220*w**3 + 11*w**2 - 32*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {o: 11, c: 9}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 5 (c) -0.1 (d) 4 (e) 0.7 (f) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 + 177887*q - 2846448 = 0. Calculate q.\nAnswer: -177903, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3 - 3*q**3 - 19\/3*q**2 - 11\/3*q = 0. Calculate q.\nAnswer: -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**8\/168 + x**6\/60 - 5*x**2 + x. Let a(u) be the first derivative of t(u). Let a(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 18*d - 56. Give p(-18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/12 + w**3\/3 + w**2. Let r(m) = -m. Let v be r(4). Let j be 12\/v + 1 + -1. Determine c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 5 (c) 3\/2 (d) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 89 (b) -0.2 (c) 1\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -409*j + 248. Does 195 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 248 + -248. Suppose d*z**2 + 0*z - 3\/2*z**3 + 1\/2*z**4 + 0 = 0. What is z?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 74 = 10. Let k be 42\/9*(-6)\/j. Let o = 0.5 - 4.5. What is the nearest to -0.1 in k, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:30 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (344\/(-688))\/(7\/2) + (-176)\/(-105) and 85\/273.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 10.33902km?\nAnswer: 10339020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.9 - -468.9. Let h = -432 + p. Put 7\/6, -0.2, h, 3 in ascending order.\nAnswer: -0.2, h, 7\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*(-3)\/(-18))\/(((-451656)\/243)\/164).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - s**2 - 1144*s + 2*s**4 + 3 + 1125*s - 4 to z*s**2 + i*s**3 + l*s**4 + t + x*s and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 37732\/1173 and 32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104355 and 333936?\nAnswer: 1669680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3855*j**3 + 3373*j**3 + 12687*j - 12687*j.\nAnswer: 7228*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 793\/7238 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334379.8um to kilometers.\nAnswer: 0.0003343798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25155803, 50311609, 75467415, 100623221, 125779027, 150934833?\n\"Answer: 25155806*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (30 - 21) - (2 + -12 + 2 + -2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-183)\/(-63) - 10\/(-105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19642*i**3 + 38*i**2 - 5*i - 48 wrt i?\nAnswer: -117852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 7381\/6892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6237.587km in nanometers?\nAnswer: 6237587000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74173 (base 8) in base 7?\nAnswer: 155631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.3 - 12.3. What is the third biggest value in 2, -3, -5, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.2 * -42681\nAnswer: 1032880.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3 - -35*(-10)\/70?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2 - 2)*(10*z - 8 - 8*z + 1)*(-4*z + 3*z - 5*z) as f*z**2 + i*z**3 + v*z + t and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/4 - 50*m + 975\/4 = 0.\nAnswer: 5, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.799892ml in litres?\nAnswer: 0.003799892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437945.\nAnswer: 5, 87589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/45 - (39\/(-429) + 92\/44).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**6\/120 + h**4\/8 + 149*h**3\/3 - 8*h**2 - 3*h. List the prime factors of l(0).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-51)\/(-12) - (3 + (-10)\/4)\/2. Suppose 3*s - j - 12 = 0, 4*j + 18 = s - j. Solve 0 = r*b + s - 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1337 and 2080448209.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 574252910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173588 + 32038 = 6*p. Suppose -25*w - 18*w + p = 0. List the prime factors of w.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 518*t + 527*t - 1052*t - 126. Let o be j(-18). Suppose -k + 3 - 10 = 0. Put k, o, -5, -2 in descending order.\nAnswer: o, -2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 9*m**2 - 938*m + 6444. What is s(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150142692*x**5 - x**2 - 97249201*x + 1 wrt x?\nAnswer: 9008561520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -32.36866 * 3\nAnswer: -97.10598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 + 31924*t + 670502\/3.\nAnswer: -2*(t - 47893)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -4*t + 330. Calculate the smallest common multiple of t and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 2*c + 54. Let l = c + 119. Calculate the least common multiple of 1 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i - 56. Give k(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/45 - (-43)\/72. Let d = -23478\/11 + 2136. Which is the biggest value? (a) q (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 114 = 18 + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 41. Suppose -w + s + 34 = 0, c - 10 = 2*s. Calculate the smallest common multiple of 8 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -50. Let g(t) = 44*t**2 - t. Let c be g(-1). Let w = j + c. Solve w = h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o - 19212 + 16632 = 0 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -5*r**4 - 2*r**3 - r**2\/2 - r + 249. What is the second derivative of m(i) wrt i?\nAnswer: -120*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 + (-10 - -23) - -2. Let m(y) = -24*y**3 - 3*y**2 + 5*y + 1. Let j(r) = 25*r**3 + 4*r**2 - 6*r - 1. Let i(s) = 3*j(s) + 4*m(s). What is i(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*z + 16 = -11, -z + 16 = 4*y. Let d(b) = b**2 + b. Let x(f) = 2 - 1 - 2*f - f**2 - 2. Let h(t) = y*d(t) + 2*x(t). What is h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4578 + -22874\/5. Factor 0 + a*x**3 + 0*x - 64\/5*x**2 - 1\/5*x**4.\nAnswer: -x**2*(x - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110*n**3 + 2*n + 130.\nAnswer: 330*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*((0 + 3 + sqrt(147) + sqrt(147) + sqrt(147) - (4 + sqrt(147) + 3 + sqrt(147))) + -2) + -5)**2.\nAnswer: -196*sqrt(3) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1444 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 752 + 679 = 5*y, -3*y = -c + 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 - 4. Let i be q(3). Let m(w) = w - 2. Let d be m(i). Solve -4*s = -x - 5, 2*x - 15 = -d*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 - 2742*l**2 - 1025*l - 3.\nAnswer: -6*l - 5484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 10 + 2, 3*d + 4*b - 34 = 0. Let r(c) = c**2 - 12*c + 15. Calculate the remainder when r(12) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -45*r**2 + 87*r + 6 = 0.\nAnswer: -1\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 2 + 8*v - 11*v + 4 - v. Determine m(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.643 to 0 decimal places.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 706 - 371. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-2)\/60). Let c be ((-35)\/z + -3)\/(4\/(-3)). Let w be (-2)\/((36\/46)\/3). Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(112) - sqrt(112)*-3)\/(sqrt(36)*-6 - sqrt(4)).\nAnswer: 200*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-12 + 0 - (-5 + 10 + -18)) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5049)\/(-55))\/9 - (-5)\/(20\/(-36)). Let g = 0.6 - 0.1. Sort -0.5, r, -1\/3, g in descending order.\nAnswer: r, g, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 4*k - 3. Let b be d(5). Suppose 32 = 6*j - 3*j + 2*g, 44 = 3*j - 4*g. Let u = b + j. Solve 2 + 6 = -u*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 13. Let q be (4\/(-6))\/((-26)\/(-351)). Let p be f(q). Calculate the highest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 - 268*j**4 + 11*j**2 - 12*j.\nAnswer: 120*j**2 - 6432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.739826 + 0.060406. Let x = k - -0.68. Round x to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13795 + 13792. What is the nearest to 1 in 0.4, -0.4, x, 23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 35*d**2 - 8226*d + 240. Calculate k(235).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1419531, -1419524, -1419517?\n\"Answer: 7*x - 1419538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1349727571 or -1?\nAnswer: 2\/1349727571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6694089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 = -21. Solve -21 = 4*n - g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.6 * -1419132\nAnswer: -10785403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -12*q**4 - 111*q**3 - 195*q**2 - 42*q = 0.\nAnswer: -7, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 1. Let d(o) = -3*o**2 - 2*o. Let s be (664\/72 - 7) + 4\/(-18). Let k(b) = s*v(b) - d(b). What is k(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 6*n + 8, 3*b - 2782 = -n. Let t = b - 635. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1206?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 13*s + 5. Let z(j) = j + 3. Let d be z(6). Let m be i(d). Suppose 0 = u - m + 2. 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: In base 6, what is 1542552123 - 0?\nAnswer: 1542552123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3335996, 3335983, 3335970?\n\"Answer: -13*k + 3336009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - o + 0 + 8 = 0, -n + 23 = -5*o. Solve 2 + 10 = n*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 12*d - 5. Let x be w(9). Let h(r) = 2*r - 3*r - x*r**2 + 2*r + 24*r**2. Let n be h(1). Solve 6 + 8 = 4*u - 2*m, -n*m + 29 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100313230 (base 4) to base 5\nAnswer: -4202400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -17. Let y be -1*(u + 2 + 0). Find the third derivative of 24 + 6*j**3 - y*j**2 - 24 wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-6708691.\nAnswer: 3354345.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40883.0131 + -40918. Let d = m - -35. What is d rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 17568.514986?\nAnswer: 17568.714986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 1. Let r be z(-1). Suppose v = -r*v + a + 10, -a = -3*v + 36. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 30*x + 12204 = 0. Let j = -405 - x. What are the prime factors of j?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 12*x - 24. Let u be f(14). Suppose u*z = -0*n - 2*n + 372, -4*n + 764 = 4*z. Suppose 34 = -3*v + n. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -326, -470, -674, -938, -1262, -1646?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -2*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*q - 22*q**2 + 47*q**2 + 1 - 27*q**2 to the form a + w*q + s*q**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1802*r - 1801*r + 2*r**2 + 17 - 6)*(-57*r - 45*r - 704 + 100*r) to the form t*r**3 + l + p*r + f*r**2 and give l.\nAnswer: -7744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-14) - -2)*-7. Let c = f - -8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/126549440 and 111\/5102800?\nAnswer: 632747200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 4\/7, 109.1, 3, -39?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 432*x**3 - 2*x**2 + 2*x - 1. Let g = 18 + -25. Let k = 8 + g. Is r(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658265 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -20. Let d = b - -30. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/4 - -3. Suppose 3*r = z + 16, 23*z - 21*z = 3*r - 17. Which is the closest to i? (a) r (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1513805 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 840507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07611 * -0.31.\nAnswer: -0.0235941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*t - 2491 - 1109 = 0, 3*t + 12 = 0. Is -3580 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 154*k - 21 - 154*k + (-5 + k + 5)*(-2*k + 0 + 0) - 53*k**2 + 14*k**2 + 24*k**2 in the form x + q*k + o*k**2 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058974 at least 4058972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*j*j)**(-9)*j\/j**(8\/5)*j**2 assuming j is positive.\nAnswer: j**(-173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12679 + 419. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708285345497 plus -89?\nAnswer: 708285345408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**6\/6 + z**3 + 6*z. Find the second derivative of f(g) wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + f + (-3 - 2 - 2)*(-2*f + 3*f - 5*f).\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(6\/10 + -1). Suppose h = -j - 4*j. Let a(u) = -37*u**3 + 2*u**2 + 2*u + 1. Does 12 divide a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l + 3. Let u = 4934\/5 - 987. What is the fourth biggest value in u, -1\/4, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x - 3. Is f(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -2\/3*v**3 - v + 3\/2*v**2 + 1\/4*v**4 + 0. Determine t(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 182 = 2*p + 3*w, 4*p - 4*w + 420 = 0. Let n = 317 + p. Calculate the greatest common divisor of 54 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 2 h when four letters picked without replacement from opppupppmhmh?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27168417 to the power of 1\/2, to the nearest integer?\nAnswer: 5212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131502777.000063 + -131502712. Let j = h + -65. What is j rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849 = -73*l - 119 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4360032 and 4844480.\nAnswer: 43600320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 8257 and 8263 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21590, -43192, -64794?\nAnswer: -86396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -639 or -634?\nAnswer: -634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -27143.\nAnswer: -27143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88) + (-5*(sqrt(88) + sqrt(88)*-1) - sqrt(88)))\/((sqrt(88) - (sqrt(88) - 3*sqrt(88)))\/sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 260 + 791 = -116*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -47, -74, -101, -128?\n\"Answer: -27*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 u when four letters picked without replacement from {u: 5, c: 5, b: 3}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020283398 to 4 decimal places.\nAnswer: -0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 3 + 3 + 109*o.\nAnswer: 108*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 - 11 = -5*m, 3*m = k + 7. Let c = -0.65 - -0.45. What is the third smallest value in c, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 31*a**2 + 30*a + 92. Let f be j(32). What is the derivative of f*u + 37*u - 6*u + 7 + 5 wrt u?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*p - 96 = 0, -5*q - 72*p + 73*p = -182. Which is the nearest to -0.4? (a) q (b) 1 (c) 1\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-21)\/(-9))\/7. Sort 0.4, 3\/7, 3, r in descending order.\nAnswer: 3, 3\/7, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 2*m - 5. Let j be l(-5). Suppose 3*s = -j + 686. Calculate the greatest common factor of s and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 2*m**9\/63 - m**5\/4 + 21*m**2. What is the third derivative of z(s) wrt s?\nAnswer: 1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31605\/324*2\/5. Let p = -13\/27 - l. What is the common denominator of (-4)\/(-66)*78\/1 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*v**4 + 23*v**3 - 614*v**2?\nAnswer: -120*v + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -15. Suppose -c*j - 5 - 3 = 0. List the prime factors of -1 - (j - -1 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/216 and 2 + (2\/7 - (-9429)\/(-3528)).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-2*1 + (-9)\/3)*762906\/(-430)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/168*5 - 1209\/104.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, z: 9}. What is prob of picking 2 d and 2 z?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 21*f**2 - 11*f - 5. Let c be d(-10). Solve 2*p + 20 = -4*n, -n - 2*p + 20 = -c*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:21 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18638513, -18638504, -18638495?\n\"Answer: 9*y - 18638522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -79968 divided by 392\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:17 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 33 + (-5 - -3) + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 4. Let i be d(-6). Let x = 38653\/3624 - -1\/1208. Calculate the common denominator of x and (-290)\/i - -13 - 62\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 - 372*g**4 - 4467*g**3 + 16818*g**2 - 1524*g - 22440 = 0.\nAnswer: -110, -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by -268.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5607909?\nAnswer: 3, 17, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i - 1. Let x(g) = -8*g**2 - 12*g - 12. Suppose 4*q = -0*q - 4. Let b(j) = q*x(j) - 4*f(j). Suppose b(n) = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 109.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 83*i + 140. Let v be g(26). Solve -2*h = -v, -5*o - 2*h = -7*o - 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2)\/(10\/(-15))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19792, -39528, -59264, -79000, -98736?\n\"Answer: -19736*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*a = 5, a - 5*a = -2*r + 2. Let j = -10 - r. Let k(z) = -z**2 - 5*z - 5. Let n be k(-4). What is the third smallest value in -1\/3, j, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 45, -1732?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-1)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(4\/7)*m))\/m)\/m**5*(m**1)**33)\/((m**0)**(9\/2)*(m**(1\/3)*m)**(-31\/5)) assuming m is positive.\nAnswer: m**(3538\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1239*h - 12407. Let q be x(10). Let j be (-3 - -5)\/(1*2). Sort j, -1, q.\nAnswer: q, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3 + 99966*j**2 - 99968*j = 0?\nAnswer: -49984, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 10*g + 2*g - 8*g = -31, 0 = 5*m - 5*g - 35 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-2) - (-276)\/8.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54\/(-21) + 3 - 225033\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/2))**(-2\/11)\/(f**(4\/17)*f*f**(-1\/27)) assuming f is positive.\nAnswer: f**(-9263\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*31741960\nAnswer: 3174196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4\/8 + 129*b**3\/8 + 1245*b**2\/8 - 189*b\/8 - 7047\/2 = 0.\nAnswer: -29, -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 656*w**5 - 2*w**3 - 4*w + 11?\nAnswer: 13120*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71343 or 71331?\nAnswer: 71343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28879621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1 in decreasing order.\nAnswer: -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/360372 and 14\/23895?\nAnswer: 48650220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let i(f) = -f**2 - f. Suppose -2 = -2*g, -z - 1 = -4*g + g. Let j(r) = -24*r**2 - 21*r. Let b(q) = z*j(q) - 42*i(q). Determine a(b(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.528659l in millilitres?\nAnswer: 528.659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {s: 10, c: 5, m: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 169 = -10*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 124 = -4*u, 1987*a - 470 = 1983*a + 18*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let j = -0.11 + -3.89. What is the third smallest value in j, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30270 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, j: 6, h: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, f: 7}. What is prob of sequence ww?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 10) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -135b57 + 0?\nAnswer: -135b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -11 - 2*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2422)\/(-519)*(-12)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*n - 12, 2*n + 8 = -0*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-15 - -19 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (518*p + 8903 - 8903)*(2 + 1 + 0) to u + i*p and give i.\nAnswer: 1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (-2 - -1) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 10*c**2 - 5*c + 3. Determine x(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3862900, -7725787, -11588672, -15451555, -19314436, -23177315, -27040192?\n\"Answer: p**2 - 3862890*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.2, 1\/5, -0.06, 3\/320 in descending order.\nAnswer: 2\/3, 1\/5, 3\/320, -0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 554.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 26*n + 87. What is the hundreds digit of h(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x + 2977 = 637*x + 15954 + 11119 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjshzszieh. Give prob of sequence ijje.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 683676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Let f = -8 + n. Let v = -8 - -10. What is the closest to v in -2\/3, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-28956)\/(-1596) - (17 + 0))\/(2\/(-14))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952*k - 15796 = 793*k - 1277*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 158*q**4 + 2*q**3 - 160*q**4 + 3 - 2*q + q**2 to the form d*q**4 + y + m*q + p*q**2 + h*q**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-15)\/4)*(-340)\/(-17). What is the hundreds digit of (n + -12)*(-1014)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/3 - 482*y**4 + 145658*y**3\/3 + 912766*y**2\/3 + 460928*y + 617120\/3 = 0.\nAnswer: -812, -4, -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*2*-4.\nAnswer: -88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 45*a + 23. Let l be m(23). Let c = 23185\/4 - 5765. Let o = c + -31. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*r = 2, 3*x + 2 = 3*r + r. Let z = x - 1. Suppose -z = 2*m - 37. What is the remainder when 34 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131386 = 72*r - 70*r + o, 3*r - 3*o = 197088. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3459739359.\nAnswer: 3, 211, 5465623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 2*d - 2. Let k(g) = -2*g**2 + 5*g - 5. Let i(f) = -15*b(f) + 6*k(f). Let p(x) be the first derivative of x**2 - 12. Give p(i(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18121894 * 0.5\nAnswer: 9060947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/4 (b) -25 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -12. Let h(s) = 5*s - 15. Let u(z) = -3*z + 7. Let t(y) = b*u(y) - 4*h(y). What is the derivative of t(j) wrt j?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3 + 134*d + 1. Let t(j) be the first derivative of z(j). Let i(g) = g. Give -2*i(p) + t(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 4*o + 6. Let p be v(5). Let s = 8 - p. Which is the smallest value? (a) 0.3 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2*u**2 + 33*u - 170. List the prime factors of i(15).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4 less than -1410582349244?\nAnswer: -1410582349229.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/4, 5, -3\/4, -2 in descending order.\nAnswer: 5, 4, -1\/4, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 10, -13, 1, 3057411?\nAnswer: 3057411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, -5 in decreasing order.\nAnswer: 22, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 2*z - 16*z)*(-1 - 4 + 4).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.4 + 15.9. Which is the closest to 1? (a) 0.4 (b) 0.07 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y**2 + 11*y - 13. Let z(h) = 7*h**2 + 9*h - 6. Let k(v) = v. Let l(s) = 4*k(s) - z(s). Let m(u) = 13*l(u) + 6*p(u). Let m(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 159. Let b be (8\/(-20))\/(5\/i) + 24. Solve j + 5*n + 1 = 9, 5*j + 5*n = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(300).\nAnswer: -5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183060240?\nAnswer: 2, 3, 5, 11, 69341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1292 and 768656.\nAnswer: 248275888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 321*v**2 - 4*v - 2. Determine k(1).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -3 + 3 + 3. Suppose a + 3*v + 2 = 0, v + l = 3*a - 13. Put 2, a, 9 in decreasing order.\nAnswer: 9, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20910257*x**4 - 3*x**2*y - y + 16706172 wrt x.\nAnswer: 83641028*x**3 - 6*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7261 + -87061\/12. What is the common denominator of c and 113\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 166*v - 349. Let a be j(8). Let k = a - 703. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**1\/m))**(-2\/5)*m**(5\/2)*m**(-3))\/(m\/(m*m\/(m*m*m**(-8)))*m*(m**(2\/25)*m)\/m)**(-3\/8) assuming m is positive.\nAnswer: m**(-68\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from awwwwwwa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 13.6. Let k = -1.6 + u. What is the smallest value in -0.3, -0.1, 0.4, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + 1 + 1 + sqrt(2736) + 0 + sqrt(2736))**2.\nAnswer: -240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 983880204 to the nearest integer?\nAnswer: 31367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -17. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 807 + -806.6. What is the second smallest value in 12, v, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eccp when four letters picked without replacement from ppeepeeppmppppppcec.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/7, 2\/129, -6, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 905501?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20644*y - 20644*y - 1675*y**2 to b*y**2 + l + s*y and give b.\nAnswer: -1675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 32 = 7 + 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 57643002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*((-301)\/(-21) + -9). Solve y*b = 37*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7137 is divided by 1783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-2 - 10\/5). Solve -3*j + 11 = b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 37*h - 221. What is s(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 3, 8, 15, 24, 35?\n\"Answer: f**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -3*p**2 - 7*p - 15. Is c(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3744 + 24422. What is the third derivative of -137*p**4 - d*p**3 - 53*p**4 - 189*p**2 + 28166*p**3 wrt p?\nAnswer: -4560*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15359475 - 27181875. Round y to the nearest 100000.\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*-2)*-3)\/(sqrt(90)*2).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -53*l. Solve 4*r + 10 = 2*k, -r = 4*k - l*r + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a decade in months?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n - 98 + 98.\nAnswer: -35*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 41*m = 441 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/(6*15\/12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 972, 1320, 1574?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7506174 to the nearest integer?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-248)\/(-1860)*(18\/(-17))\/(-2)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 5. Let p be -1 + 0 - (-2 - g). Let v(s) = s**3 + 4*s**2 - 6*s - 4. Let k be v(-5). Which is the nearest to p? (a) k (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*x + 5*x**3 - 12*x)*(0 + 5 + 1)*(4*x - x - 4*x) in the form b*x**2 + u*x**4 + o*x**3 + c*x + h and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 31*q**3 - 34*q**2 + 2307*q - 17. Let j(p) = -11*p**3 + 12*p**2 - 769*p + 6. What is 17*j(b) + 6*t(b)?\nAnswer: -b**3 + 769*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 40. Calculate u(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575)*-1 - sqrt(1575))\/(1*sqrt(441)).\nAnswer: -10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/4)*l**11)**(-16\/3) assuming l is positive.\nAnswer: l**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662 (base 8) to base 16.\nAnswer: 1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -17*q**3 + 5*q**2 + 9*q - 1. Let g(r) = -17*r**3 + 4*r**2 + 9*r. Let d(v) = 3*g(v) - 2*k(v). What is the units digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -20*u**3 + u**2 + 5*u - 6. What is r(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let x(v) be the second derivative of -5*v**3\/6 + v. What is x(l(m))?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 17, e: 2}. Give prob of picking 1 e and 2 q.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 = 3*z, -3*z + 2*z = -5*a - 14. What are the prime factors of a*(-75)\/10 + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (4 + (0 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(114\/60)*(-20)\/25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*w**5 + 3*w**4 + 3*w**3 - 10700*w**2 wrt w.\nAnswer: 1380*w**2 + 72*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 116\/8*(0 + -2). Let m = v + 55. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*u - 49 = 0, -4*u = -5*a + 45 + 54. Calculate the remainder when 67 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhhhthhhhhhhhhhh. Give prob of sequence ta.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 470 = 4*q. Let b = 182 + q. What is the remainder when b is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 x, and 1 t when four letters picked without replacement from {y: 4, t: 2, x: 4, u: 3, b: 1}.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2952713 is divided by 2634?\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/20 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/210 - 211*c**4\/42 - 421*c**3\/21 + 2*c**2 - 666*c. Factor s(x).\nAnswer: -2*(x + 1)*(x + 421)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*r - r - 201 + 48, -12*d + 2*r - 114 = -10*d for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806007429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14\/(s*(s*(s*s**(2\/11)\/s)\/s)\/s*s*s))\/((s*s\/s**(-1\/3)*s)\/(s**16\/s)) assuming s is positive.\nAnswer: s**(775\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -18*z - 5. Let w(p) = 19*p + 6. Let b(y) = -23*y - 52. Let h be b(-2). Give h*w(u) - 7*r(u).\nAnswer: 12*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p. Let y(z) be the second derivative of 3\/2*z**3 + 0*z**2 + z + 0. Suppose 0 = 3*o - 2*o - 14. Calculate o*j(n) - 6*y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:33 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 361816\/147*(-75)\/2. What is s rounded to the nearest 1000?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2890 = -475. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509246907, 509246916, 509246939, 509246982, 509247051, 509247152?\nAnswer: 509247291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 = -3*g, 3*k = -g + 8*k - 23. Suppose g*b - 15 = 5. Solve -3*i = 3*m - i + 4, 4*m = 5*i + b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5369885 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 369 - 167. Let k = w - 133. What is k rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767*d**2 - 221*d**2 - 12 + d - 285*d**2.\nAnswer: 261*d**2 + d - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/8 - (12 + -14 - 3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*u = 703901 + 1094090 - 72295. Is u a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 4. Let h = 31 - 18. Let w be (0 + 0)\/((-13)\/h). Calculate p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 7*o**2 - 8*o - 6. Let a be z(-6). Let w(d) = d**2 - d - 6. Let m be w(a). Let c = m + 22. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71481231 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 9*i + 2. Let k be h(-4). Let t = -7 + k. Solve 4*z - t = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11972863 + 883*z**2 + 251*z**2 + 11972860 to the form m + t*z**2 + p*z and give t.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2459 and 251302423?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-194)\/((-68)\/93 - (-4)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from fffggoggfgfffofffggf?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-10 - (-1290)\/132). Let 121\/5 - o*f + 1\/5*f**2 = 0. Calculate f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j - 3*b = 48*j - 66, b + 258 = 17*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(-3) + 2 + (-158)\/(-6) and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28456 = 3704*y + 1155*y + 11793 + 138138 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207987119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14610.25 to the nearest 100.\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.531 and 0.0536.\nAnswer: -0.0284616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 53*k + 595. Let z be u(-15). Suppose -2*c + 538 = 4*l + 144, 0 = -l + 3*c + 109. What is the highest common factor of l and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**4 + 5*s**3 - 13312656*s - 72863828 wrt s?\nAnswer: 4*s**3 + 15*s**2 - 13312656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**3 + 7 + 24*q - 24*q wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/(201\/(-1072))*36\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 + 184. Let s(h) = h + 14. Calculate s(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 140. Let x = -46 + k. Let h(s) = 6*s**2 + 18*s - 18. Let f(m) = -m + 1. Let p(d) = x*f(d) - h(d). Let y(j) = j**2. What is y(p(l))?\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 863071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2201458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0561*0.1059.\nAnswer: -0.00594099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79438 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdeidss. What is prob of sequence deds?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n + 10*n**2 - 8*n as i*n**2 + b + w*n and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/64 and -101\/856.\nAnswer: 6848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (-47 + (81 - -23)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5865 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 8908326*n - 8908329 = 0. What is n?\nAnswer: -2969443, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(40\/(-25)))\/(30\/396) and 4\/(-2) - 5\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1015 + 1121. Calculate the highest common divisor of i and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30 - 24) + (-5)\/1. Solve 3*w = 7 - r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -106?\nAnswer: -59\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 38 = h, 4*k - 3*h = -10 - 28. Is 7 a factor of ((-38)\/k)\/((-2)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 73*b**4\/12 - b**2\/2 + 9*b. Let w(u) = -413286 + 413286 - 4*u. Calculate s(w(d)).\nAnswer: 1168*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 - 105. Let f = -71 + z. Let p = f - -12.35. Round p to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8021204 is divided by 2135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5\/7 + 32*b**4 - 460*b**3\/7 + 232*b**2\/7.\nAnswer: 4*b**2*(b - 1)**2*(b + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 162257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 19. Let s = d - 15. What is the closest to s in 0.3, -0.4, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1434648 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*o - 221841, 3*o - 5*p = 110592 + 111243. What are the prime factors of o?\nAnswer: 5, 7, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, -169, 1 in descending order.\nAnswer: 4, 1, -1, -5, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27953154 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -541c5 (base 13) in base 2?\nAnswer: -100101000101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.423 or 0.7?\nAnswer: -0.423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 11:05 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(1 + -2 - -2). Let c = -3 + 6. Let b be ((-10)\/c)\/((-12)\/18). Solve z*u - 19 = -b*g - 2*u, 5*g + 4*u = 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467154727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3853 - 11?\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.2 + 10. Let f = 1 - x. Let k = -0.04 + 0.54. Which is the closest to -0.1? (a) k (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxbb when four letters picked without replacement from {d: 1, b: 7, x: 4, h: 1}?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231 = -75*c + 339 - 308. Sort -3, 3, c, 0 in increasing order.\nAnswer: c, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 130. Let b = -32 - w. Calculate the remainder when (-3)\/((-24)\/206) - 12\/16 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 40 = -t + 5*k, 3*k = 5*t + 40. Let o(y) be the first derivative of -2*y**2 - 3*y - 1\/3*y**3 + 1. What is o(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**8\/o)**(-2\/7)\/(o**19\/((o*o\/(o*o\/((o**(-4\/9)\/o)\/o)))\/o)) assuming o is positive.\nAnswer: o**(-1576\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46274647?\nAnswer: 2281, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 6000?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kete when four letters picked without replacement from {k: 1, t: 5, p: 6, d: 4, e: 3, z: 1}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 114713980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1656*v**5 + 2988*v**2 + 108. Let j(q) = 77*q**5 - 139*q**2 - 5. Let r(l) = -108*j(l) - 5*p(l). Find the third derivative of r(y) wrt y.\nAnswer: -2160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122513737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 396181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2. Let y(u) = -251*u + 52. Give 14*a(v) + y(v).\nAnswer: -251*v + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0.0416, -9, 0.1?\nAnswer: 0.0416","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18494*h**2 - 5*h + 18492*h**2 + 5*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 78 = -112. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9792473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 698561 by 3.\nAnswer: 698561\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10620.675 rounded to the nearest one hundred?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861785?\nAnswer: 3, 5, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-168) + (-1)\/(-3))*(-32)\/(-16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161730 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 314 + (-60)\/(-5) + -7.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9864 is divided by 7882.\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 558200.6 and 5.\nAnswer: 2791003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -283 or -35010?\nAnswer: -35010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -155896, -311802, -467716, -623638?\n\"Answer: -4*x**2 - 155894*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/4 - 7*l**4\/4 + 81*l**3\/2 - 73*l**2\/2 - 161*l\/4 + 153\/4 = 0.\nAnswer: -17, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owuz when four letters picked without replacement from {z: 1, w: 2, u: 2, h: 1, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*x, -c - 33 + 23 = -3*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -104346222, -104346223, -104346224?\n\"Answer: -s - 104346221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27130136 divided by 4?\nAnswer: -6782534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1555830, -1555586, -1555180, -1554612, -1553882?\n\"Answer: 81*j**2 + j - 1555912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -21*u**3 + 6*u**2 + 3502*u - 13998. Determine n(4).\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7891410, 15782826, 23674252, 31565694, 39457158?\nAnswer: 47348650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/198 and -115\/648?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 290005, 1160864, 2612295, 4644298?\n\"Answer: 290286*l**2 + l - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1021604*-82.\nAnswer: -83771528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/220)\/(4\/(-20))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 3\/8 (b) -0.06 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4cc (base 15) to base 4\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a - 31. Let n(k) = 4*k + 5. Determine n(u(r)).\nAnswer: 72*r - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20 + -11 - (-16)\/(-2). Suppose -57 = 2*o + g, -3*g = -3*o - 5*g - 86. Is f\/(-2) + (-1694)\/o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -1232068?\nAnswer: -1601688.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241743 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 76*k**2 - 73*k - 784. What is the units digit of g(-61)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 23 + 6 + 1 + 20*b**2. What are the prime factors of i(-4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3198)\/(-30) - (-2)\/5. Suppose 3547 = 4*j + r. Round j to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2 + 1\/2*o**2 + 2*o - 1\/3*o**3. Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 9*w**2 + 1. Let p = -1 + 3. Suppose 9 = -p*s - 9. Let k be t(s). Solve x = -0 + k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 3 - (-78 + 74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-three quarters of a year?\nAnswer: 219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -5*y + 27. What is the common denominator of 0\/(-6) - (-8)\/y and (41 - -1)*4\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3\/3 + 3. Let a(m) be the second derivative of 2*m**3 + 15*m. Determine a(d(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.91503 greater than or equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/12 - 11*n**4\/24 - 12*n**2. What is the second derivative of q(i) wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2972498954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-1)\/(-2) - 4\/(-8). What is the closest to 2\/5 in 2\/15, i, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let u = -14 - -8. Let o be b(u). Do o and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -16*n**2 + 2*n - 1. Calculate f(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6 - (-3 - 16 - 1 - -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c + 50. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 8*w**3\/3 - 5*w**2\/2 - 4*w. Suppose 15 = 2*l - 3*x, -l - 6 = -x + 4*x. What is the units digit of o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f = -31*f - 3. Suppose 30 - 15 = f*m. Let x(j) = j**2 + 4*j + 2. Let t(z) = -z**3 - 3*z**2 - 9*z - 5. Calculate m*x(d) + 2*t(d).\nAnswer: -2*d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f - 9. Let p be c(-7). Let q be ((-21)\/p)\/(2\/8). Let h(r) = -30*r + 1. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5628 and 33232?\nAnswer: 697872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 339 = -3*t, 0*t - 2*t - 5*n - 231 = 0. Let u = t - -147. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j - 13. What is the remainder when y(-6) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2478*u + 5199*u - 2990*u.\nAnswer: -269*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1046 - 1045.6652. Let h = o + 0.0222. Let q = h - -0.043. Which is the nearest to 0.2? (a) q (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42606 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:23 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9451088 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + 5*p)*(2*p**3 - p**4 - 2*p**3 + 2*p**4 - 2*p**3 + 2*p**3 + 3 + p**4 - 3 + (-2 + 2 - 2*p**3)*(-1 + 1 + 2*p) + 2*p**4 - 5*p**4 + 7*p**4).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3709, 7512, 11349, 15226, 19149, 23124, 27157, 31254?\n\"Answer: s**3 + 11*s**2 + 3763*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265.5222 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(65))\/sqrt(5) - sqrt(13)) + sqrt(13) - sqrt(117)\/sqrt(81) - (3 + -4*sqrt(13)*5))**2.\nAnswer: -106*sqrt(13) + 36598\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/18 + 1\/(-6). Let z = 0.09 - -4.91. Let i be (9\/3)\/(6\/(-4)). What is the second smallest value in z, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 - 103*z + 669. Calculate r(6).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-20)\/3))\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 366256.824 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1933*v**2 - 1367*v + 1367*v + 906*v**2.\nAnswer: 2839*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + -2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 2*q**2 - 7*q - 6. Determine x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.4, 0.3, -1\/4, -5\/14, -2\/375?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u = 0. Suppose 5*j + 5*b - 110 = 0, u = 4*j + 5*b - 87 - 3. What is the least common multiple of 30\/4*8\/5 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((4*sqrt(180) + sqrt(180))\/sqrt(6) - sqrt(30) - sqrt(30))\/sqrt(10) + (sqrt(192) + -2*sqrt(192) + sqrt(192) + -2 - sqrt(192)) + -3)**2.\nAnswer: -100 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -28. Suppose p = 3*c - 3*s, c - 3*s = s + 20. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:06 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20946 and 30?\nAnswer: 104730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111000001100 + 10000?\nAnswer: -10101110111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 643914 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -45140, -0.4, -10, -5\/3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1492 + -8.1492. Let n = -14 - -12.2. Let t = 2 + n. Which is the closest to t? (a) r (b) 1\/2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 46*a**2 - 14*a. Let c(m) = 31*m**2 - 10*m. Let l(f) = 7*c(f) - 5*d(f). Let v(w) = -w**2 + 4*w. What is l(v(z))?\nAnswer: -13*z**4 + 104*z**3 - 208*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 8*v + 7. Let x be l(8). Suppose 291 = -x*c + 2342. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*d + 4220, -10563 = -370*d + 365*d + i. What are the prime factors of d?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 13. Let q(t) = t**2 - 3*t - 7. Let h be q(-3). List the prime factors of m(h).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 15) in base 2?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 - 536*l**2 - 18*l - 6. Let u(s) = 4*s**3 - 537*s**2 - 15*s - 5. What is 5*p(r) - 6*u(r)?\nAnswer: r**3 + 542*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i - 46. Let r be h(36). Is r at most 1503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86582260.\nAnswer: 2, 5, 107, 40459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7744 and 96.\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -49*o**2 - 4*o. Let m(s) = s**2. Give q(m(y)).\nAnswer: -49*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-3))\/1*-1. Let u be n + (-90)\/21 + 3. Which is the second biggest value? (a) 3 (b) -1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 + 8. Let g(w) be the third derivative of -w**5\/60 - w**3\/2 + 2*w**2 - 56*w. Give 8*g(v) + 3*u(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 76 = -4*q + 6*o, 3*o = -q + 31. Solve -4*g - q = 7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31827, -30582, -29351, -28140, -26955, -25802?\n\"Answer: -c**3 - c**2 + 1255*c - 33080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - g**3)*(-1 - 2*g**2 + 1) + (185 - 185 - 204*g**4)*(2*g - 2*g - 2*g) + 2 - g**5 - 2.\nAnswer: 409*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, -44 in decreasing order.\nAnswer: 4, 0, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/11)*b**(-3\/10))\/(b*b\/b**(-1\/2)*b**2) assuming b is positive.\nAnswer: b**(-279\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399 a factor of 168939979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (1 - (1 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20544097033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 a factor of 3178085145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3479 + 3479 + 7*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1003102 + -13044?\nAnswer: 440003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + x + 1635 = 0, -3*c + 4*x = -981. List the prime factors of c.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(14)\/((sqrt(2) - sqrt(32) - sqrt(2)) + sqrt(2)))**2*-5.\nAnswer: -1160\/9 - 50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3108 (b) -1 (c) 1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**6 - 751*s**4 - 67*s**3 + 3*s**2 + s - 3688.\nAnswer: 240*s**3 - 18024*s - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 6*l + 3. Let j(w) = w**3 - 9*w**2 + w - 3. Let b be j(9). Let k be z(b). Let x be k\/(-3) - (-8 + 2). Solve -x*p = -17 - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18561.139 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/1985 + -1187\/3970. Calculate the common denominator of m and 19\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 5)*-1 + 11\/(11\/12). What is the highest common factor of 14311 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291387828 to the power of 1\/2, to the nearest integer?\nAnswer: 35936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -473708\/101 or -4690?\nAnswer: -4690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 549068 from -5.82.\nAnswer: -549073.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12075\/4 or 3018?\nAnswer: 3018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12.3 from 228784.56.\nAnswer: 228796.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -232.54 + 233. What is k rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, h: 2, r: 2, y: 1, k: 2}. Give prob of sequence el.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13618464133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3333 take away 167171?\nAnswer: -163838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1184918\/1803 or -658?\nAnswer: -658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 220\/(-6) - (-6)\/9. Let w = 56 + h. Suppose 6*i - 2*i = 28. What is the remainder when w is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 414993 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 - 18*m**3 - 34*m**2 - 1798875*m - 1 wrt m?\nAnswer: -36*m**2 - 108*m - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2013317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 26*i - 29*i - 7 + 48 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a year in months?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 4*l + 2. Let d(i) = 2*i**3 - 5*i - 3. What is 2*d(h) + 3*y(h)?\nAnswer: -5*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -171 (b) 2 (c) 94 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1232 - -105?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25308736 and 22145144.\nAnswer: 177161152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3601 + -3390.66. What is n rounded to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 304918320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -198*n**5 + 4*n**3 - 30*n wrt n.\nAnswer: -3960*n**3 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146029 and 33527.\nAnswer: 376608791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:40 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 702945 or 702938?\nAnswer: 702938","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -144, -1\/4, 2.2 in increasing order.\nAnswer: -144, -2, -1\/4, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9300701 and 184.9?\nAnswer: 9300885.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -50?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 9) in base 13?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 5. Let q be j(5). Let p = 36 + q. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*v - 2, v - 4*u + 6*u - 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/4 + 13\/2. What is the second smallest value in 0.1, y, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320527 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 30*j = -11*j - 15334. What are the prime factors of j?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 26*d**2 - d + 2. Suppose -6 = -3*w + 6, -2*j - w = -6. Let b be k(j). Let x = b + 4. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/(-12))\/((-6)\/72)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 1 + 4 + 9000\/(600\/25)?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/1016215915?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0.5, 2417?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*m*p*t + 26*a**2*m*p + 7*a**2*m + 2*a*m*p*t + a*m*t - 11*a*p*t + 4*p wrt a.\nAnswer: 6*m*p*t + 52*m*p + 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - j - 2*j + 1, 5*u + 3*j = 5. Let h(y) = -12*y**2 - 10*y**2 - y + 1 + 20*y**2. What is h(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. What is the lowest common multiple of 8 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - 124\/3. Let y = 69 + d. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - a**3 + 3 + (2*a**2 - 2*a**2 + 2*a**2)*(163*a + 203*a + 155*a) to the form y*a**3 + g*a + l*a**2 + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2. Let r(z) be the third derivative of 0 + 2*z**2 + 0*z + 1\/60*z**5 + 0*z**3 + 0*z**4. Determine a(r(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - -14335?\nAnswer: 14275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 4*w**2 - 4*w + 2. Let q be i(2). Let o = 0.77 - 7.47. Let d = -7 - o. What is the smallest value in q, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-35))\/(-4)*3\/(36\/70)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.437242 to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 + -15)*(-365)\/(-803).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:44 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.96 + -0.04. Let r = -111776.88700035 - -111772.887. Let h = c - r. What is h rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 782, 1174?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 3*t**2 + 2. Suppose -3*h + 50 = -10. Suppose 0 = -5*a + m - h, a - 4*m = -2*a - 29. What is f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2175\/(-348))\/((-65)\/(-2)))\/(2\/4)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/26 - (-1573022)\/(-143). What is r rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 24*w + 60 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3\/377, 4\/331, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501024 to the power of 1\/2, to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*c + 49*c - 559. Suppose -5*j + 4*f + 133 = -2*j, -3*j + 113 = f. Let z = c + j. Let o(s) = s**2 + 7*s + 6. Give o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*q + 28. Let w be q\/7 + (-132)\/(-77) - 0. Solve 0 = -w*b + 4*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2. Let r(n) = 24*n - 464*n**2 - 77*n + 467*n**2. Calculate r(c(y)).\nAnswer: 3*y**4 + 53*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5725 or 5810?\nAnswer: 5810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4390.13 - 4390.23. Suppose 0 = 3*m - 2 + 5. Which is the second smallest value? (a) v (b) -5 (c) 1.3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34909 is divided by 161?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o - 194*o - 10673 + 60737 = 1057*o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcccccf. What is prob of picking 1 f and 2 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - 41 + 81 - 40. Let z(p) = 4*p + 7. Let x(w) = 2*w + 4. Let b(y) = -7*x(y) + 4*z(y). Determine d(b(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -956, -2288, -3620?\nAnswer: -4952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from ssyysyssfysyyyyssss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*t = 5*t - 1, t - 2 = 0. Suppose -15 = -3*l - 4*s, -h*l - 4 = 3*s - 16. What is the smallest common multiple of 1*2*17\/34 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15140 + -15135. Solve 0 = 5*i - 46*p + 42*p + s, -4*p + 14 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 4*b - 2*b)*(-b**3 + b - b) + 4*b - 2*b**4 - 3*b - 2*b to c*b + w + s*b**4 + y*b**2 + k*b**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-6)))**34)**(48\/5))**10 assuming g is positive.\nAnswer: g**19584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 - -22103324?\nAnswer: 22104013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n - 18. Let c be w(11). Let b = 103 + c. Suppose b = -14*z + 16*z. Sort -15, -1, z in decreasing order.\nAnswer: z, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 36*v - 7. Let a be r(7). Suppose 0 = 3*i + 4*u - 161, 2*i - a = -3*i - 2*u. Let x = i - 18. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose y = -h*b + 68, 3*b = y + 41 - 124. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = -26*o - 100 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13200 (base 5) to base 12\nAnswer: -736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/4)\/(-1))\/(183\/(-122)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13310357093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100010110000?\nAnswer: 100010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 910528158 to the power of 1\/2, to the nearest integer?\nAnswer: 30175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120783 - 1553 = -33*q + 112492. Calculate the greatest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 11. Let n be z(8). Let t be 207\/(-12)*24\/9. Let q = t - -43. What is the smallest value in n, 4\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238909.83 months in decades?\nAnswer: 1990.91525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 21\/2 (b) 3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-90) + 19\/35?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let i(y) = 80*y**2 + 2*y. Suppose 9*r + 23 = 41. Let z(a) = -399*a**2 - 11*a. Let q(f) = r*z(f) + 11*i(f). What is q(c(k))?\nAnswer: 82*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.044 + 141\nAnswer: 141.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 62334*n - 2. Let f be z(3). Round f to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, 235, 757, 1497, 2461, 3655?\n\"Answer: o**3 + 100*o**2 + 3*o - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15541*k - 743887*k - 87473*k.\nAnswer: -846901*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1, -117320 in descending order.\nAnswer: -1, -16, -117320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80516 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11206 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 11. Let m = -0.17 + 0.07. Which is the nearest to -1? (a) m (b) -1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7132 (base 13) to base 15\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 10. Let n be q(12). Calculate the remainder when (n - -20)*(-2)\/(-4) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.61 - 0.51. Does u = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = 0, 2*c - 3*y + 0*y + 22 = 0. Let s(v) be the second derivative of v**3\/6 - v**2 - 3*v. Give s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16318 - 13402. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + 3.9. Let r be (-3)\/30*(3 - -5). What is the closest to -1\/3 in a, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49695\/41 + 1212. Let y = b - 196\/123. What is the biggest value in -1\/5, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/56*(-44 + 0). Suppose -8*v + 9*v - m = 0. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46992*a - 46990*a + 4*b - 34 = 0, 3*b - 34 = -2*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117229318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2834813 or 2834827?\nAnswer: 2834813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.48384\nAnswer: 0.24192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*z - 969436, 3*z + 28*d - 1454169 = 30*d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f - 3213093 = -92*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.069339*-0.2.\nAnswer: -0.0138678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 31679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/174382 and -73\/8.\nAnswer: 697528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 19*v**2 + 25*v - 24. Determine r(-18).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - 2) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 0.2, -538, 2, -5, 2\/123?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*h + 4. Let z(a) = 1569*a + 3. Let g be z(h). Suppose g + 4914 = r. What is r rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -24*v - 27. Let f(c) = -c - 1. Let k(m) = 54*f(m) - 2*p(m). Is k(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -9 + -7 - (-5 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = w + 45, 0 = 5*z + 5*w - 2*w - 217. Let j = z - 32. Suppose j*b - 5*b - 6503 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 0*l + l + 7*l**2 - l**2 as z + v*l + h*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -144, -151, -160, -171?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u - 3*k, -2*u + 118*k - 113*k = 31. Let y(m) = 36*m**3 - 15*m**2 + 11*m + 11. Let d(t) = 7*t**3 - 3*t**2 + 2*t + 2. Give u*y(i) - 11*d(i).\nAnswer: -5*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49ab04b - -1?\nAnswer: 49ab050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-11) + (-106)\/22. Let l be (2\/o - 0)*-1. Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2, -324\/31 in descending order.\nAnswer: 26, -2, -324\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173.\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9326 + 9326 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(1909*s + 1357*s + 899*s - 682*s).\nAnswer: 13932*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - (-2 - -3) - (-451 + 439)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 11*q + 10. What is the remainder when 55 is divided by c(9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by 4?\nAnswer: -239\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/((-4)\/144). Let l = -3637 + 14465\/4. What is the common denominator of l and 0 + (-171)\/j*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -93 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (0 + (12 - 8)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.051 and -10256132355.\nAnswer: -10256132355.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4708 - 108282\/23. Factor -g*p**2 + 0 - 10\/23*p.\nAnswer: -2*p*(p + 5)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 s when four letters picked without replacement from sjjsdjdjdjdjssddssj.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piimppiipmppt. What is prob of sequence pipt?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000235486 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -170*f**2 + 3308*f - 1660*f - 1648*f. Let i(p) = 11*p**2. Give c(i(a)).\nAnswer: -20570*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18899 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 694 divide 3036944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -1\/20*g**5 + 0*g**7 + 0*g**4 + 0*g**3 - g**2 - 1\/120*g**6 - 2 - 5\/48*g**8 + 0*g. What is the third derivative of b(z) wrt z?\nAnswer: -2100*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 29*r - 3. Let j be o(-13). Suppose 6*t = -18 + j. Suppose -x = -t - 2. Calculate the greatest common factor of 55 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 10:21 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/198 (c) 5 (d) 3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 406, 605?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00556209 less than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -2.03. Let s = -1.2 + 4.2. What is the nearest to 1\/3 in -5, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5745?\nAnswer: 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44419737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -5*u**7\/6 + 65*u**4\/12 - u**3\/3 - 69*u. What is the third derivative of l(d) wrt d?\nAnswer: -2100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 296\/5*z**2 + 156\/5*z**3 + 272\/5*z + 4\/5*z**5 + 96\/5 + 8*z**4.\nAnswer: 4*(z + 1)*(z + 2)**3*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*d + 5. Which is the nearest to -1\/6? (a) d (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/2 - 3*p**2 + 94*p. Let o(m) = 2*m - 18. What is o(c(a))?\nAnswer: 60*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*h - 18 = -0, 3*q + 4 = 5*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16488 - -30308. List the prime factors of c.\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 187 = 31*w. Calculate the highest common factor of 473 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969870922?\nAnswer: 2, 13907, 70823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99741651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115424?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 7*y - 26*y + 2*y**3 + 4*y as t*y**2 + j*y + p*y**3 + v and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewvv when four letters picked without replacement from {v: 6, w: 6, e: 1, i: 5}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7 + 12 + o - 2. Calculate b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 273 = z, 2*t = -5*z + 581. List the prime factors of t.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 78*p - 16*p**2 + 1 - 76*p + 3*p**2 as h + u*p + i*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, x: 1, a: 2, g: 1, z: 2}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4482\/1743)\/((-2)\/(-7)). Let w = 8 - 3. Find the second derivative of -9*n + 0*n - h*n**w + 8*n**5 - 3*n wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29852 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -43 + 3 - (8 - -4 - 6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + 2*u**3 + 50*u + 2*u**3 + 59*u - 24*u - 41*u.\nAnswer: -2*u**3 + 44*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2260082 from -0.0628.\nAnswer: -2260082.0628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1.055?\nAnswer: -0.5275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:29 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15*(-4)\/12 - 8. Let y be ((-63)\/(-27))\/(1\/a). Let p(o) = -3 - 3*o - 2*o + 6*o. Calculate p(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1407035, 1407357, 1407679, 1408001, 1408323?\n\"Answer: 322*y + 1406713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 2\/5, 2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*c - 240*c + 10 = 0. Let a(u) = -9 + 2 - c - u - 1. Give a(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7320)\/180*2*21\/56*2.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2788703, -5577411, -8366119, -11154827, -13943535, -16732243?\nAnswer: -19520951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 8570410.\nAnswer: 51422460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k**2 + 5. Let q be r(3). Sort q, -1, 4 in descending order.\nAnswer: q, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 140, 1191, 4116, 9851, 19332, 33495?\n\"Answer: 156*x**3 + x**2 - 44*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/18)\/((-2321)\/(-633))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -160, -335, -516, -703, -896, -1095, -1300?\n\"Answer: -3*u**2 - 166*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2 - 7. Let c(k) = 2*k**2 + 2*k - 1. Calculate c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from qsqbs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 302*l**2 + 1369*l - 442. Determine c(105).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 33754500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 31389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002812 rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 3)*(3 - 2*d - 3) - 4 + 4 + 3*d + 2*d + d - d - 2*d + d + 2*d + (-4 - 5 - 1)*(-3 + 3 + d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -38. Let s = -9 - u. Solve -3 = -p + s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {t: 4, c: 5, d: 4, s: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y - 1\/6*y**5 + 6*y**2 - 2\/3*y**4 - 1\/60*y**6 - 4\/3*y**3 + 0. Factor m(x).\nAnswer: -2*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-192)\/(-42) + (72\/21 - 4). Let b(i) = -3*i + i + 14 + 4 + f*i - 20. Let d(z) = z**2. What is d(b(g))?\nAnswer: 4*g**2 - 8*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -420357*h. Let v(z) = 2*z**2. What is v(o(f))?\nAnswer: 353400014898*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30284\/45 + 673. Let j(d) be the second derivative of 0 + 1\/30*d**5 - 13*d + 1\/18*d**4 + 0*d**2 - 1\/9*d**3 - z*d**6. Solve j(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28603 + 28646. Let h be (8\/12)\/(4\/774). What is the greatest common divisor of h and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - 117*z**2 - 4*z - 5*z + 3*z as b*z + y + v*z**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 198, 264, 340, 426, 522, 628?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 3*n - 15, -68*n = -69*n + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2452)\/(-1839))\/(350\/(-45))?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*d - 90*d - 70*d - 40*d - 2.\nAnswer: -87*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*-6*(-35)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 - 4. Let v(f) = 2125*f. What is o(v(c))?\nAnswer: -18062500*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -192 + 88. Let o = c + 104.73. Let q = 8.67 + o. Round q to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5 (c) -3\/2 (d) -5\/9 (e) -11.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 24.75019.\nAnswer: 24.67019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2998 - -2888) + (87 - -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8967892*p**2 - 7654*p + 14?\nAnswer: 17935784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/16 and (-4)\/(-7) + 2187\/(-336).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2728215 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69064, -68947, -68830?\n\"Answer: 117*m - 69181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f + 9. What is r(-7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 + (27\/(-60) - 1).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -201222?\nAnswer: -202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y + 4*x - 18, -x - 45 = -4*y. Suppose y*m + 10 - 65 = 0. Solve -m*o + 3*z + 17 = 0, -o - z + 13 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x. Let r(i) = 10*i**2. What is o(r(f))?\nAnswer: -140*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -138\/5, 1\/4, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 + 29 - 16)*(3*r**2 - 5*r**2 + 3*r**2).\nAnswer: 119*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.686242783 - 87.624331683. Let f = h + 1.9384989. Let z = f + 85. Round z to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 + 247. Suppose 2*r + g = 5*v, -4*r - 65 = -4*v + 35. What is the highest common factor of v and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) - -4*sqrt(95)*3) - sqrt(95))\/(3*(sqrt(5) + sqrt(20))).\nAnswer: 13*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -2026?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6461076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)*1 - sqrt(143))\/(sqrt(1584) - sqrt(1584)*-1) + ((sqrt(13) + (sqrt(52) - (sqrt(52) - (sqrt(52) + -1))))**2 - sqrt(416)\/sqrt(2)).\nAnswer: -239*sqrt(13)\/24 + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*d - 5, -a = 5*d + 3*a - 4. Let q(t) = d - 1 + 5 + 766*t. Let k be q(6). What is k rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 8*z - 9. Let t be o(6). Suppose 3*v = -0 + t. Which is the nearest to 0? (a) -3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 0.11 (c) -2 (d) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4585\/10 - 7\/2. Suppose d - 7834 = 4*k - h, 2*k = -3*d - 3679. Round k to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 8*u**4 + 12*u**3 - 8*u**2 + 2*u.\nAnswer: 2*u*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 4*x**2 - x - 3 - x**3 - 3*x. Give p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-6*(-11)\/(-66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-3*q + 2*q + 4*q)*(3 - 10 - 15).\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 5\/6*n**3 + 0*n - 1\/120*n**6 + 1\/12*n**5 + 0 - 6*n**2 + 1\/4*n**4. Let z be (-30)\/4*(-4)\/5. Calculate o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 48*g - 127. Let a be v(3). Suppose -7\/4*q**3 + 3\/2*q**2 + 1\/4*q**4 + 8*q - a = 0. What is q?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-32)*-2)\/(3\/(-57)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let y(l) = -l**3 + l**2 + l. Let t be y(0). Is t - -118 - (-3)\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -109, -105, -103, -103, -105?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 5*m - 12*p - 291 = -15*p - 228, 2*p = 2 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3027936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)\/y)**(3\/34)*y*y**(-2\/7)\/y*y**8)\/((y*y**(-2\/3))**(8\/11)*(y\/y**(-1\/12)*y)\/(y**(-4)*y)) assuming y is positive.\nAnswer: y**(37057\/15708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*k*n + i**3*k - 793*i**3*n + 119*i**3 + 214*i**2*k - 8*i**2*n - 65*i*k wrt i.\nAnswer: 6*k*n + 6*k - 4758*n + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24424 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -14. Let o(z) = -z - 8. Let f be o(u). Solve 0 = -f*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -28*v - 1. What are the prime factors of p(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09735 from -103528.\nAnswer: -103528.09735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5564.32 centuries to millennia.\nAnswer: 556.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*r - 170, -320 = 3*a - 8*a - r. Let z = a - 49. Calculate the lowest common multiple of z and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110110001 - -100?\nAnswer: -101110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:09 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.1 + 13. Let d = a - -1.25. Let u = d - 0.2. What is u rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p = -343 + 118. Sort 2, -3, 164, -1, p in descending order.\nAnswer: 164, 2, -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-1\/4)*m*m)\/m)\/m)\/m)**(1\/27)\/((m\/m**0)\/m*m**(-2\/5))*(m**8*m)\/m**(-1\/2)*m**7*m\/(m*m**(-2\/7)*m)*m assuming m is positive.\nAnswer: m**(64787\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 513261.9 micrograms?\nAnswer: 0.5132619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.9 times 265504?\nAnswer: 12717641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 3:08 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 18. Let b(z) be the second derivative of 0*z**2 + 0*z**4 + u - 1\/18*z**3 + 1\/60*z**5 - 2*z. Factor b(x).\nAnswer: x*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 14 + 1 - 2*u.\nAnswer: -2*u - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -3. Let o = -4 - d. Suppose 0 = 2*m - 8, 11*v = 13*v - 2*m. What is the biggest value in o, v, -0.1, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-4)\/(((-8)\/(-4))\/1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13608 = -920*z + 41208 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 10. Let v = p - 7. What is v rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 1, -5, -2 in decreasing order.\nAnswer: 148, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13438278 and 2740836.\nAnswer: 1800729252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/56 and 121\/641880.\nAnswer: 4493160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143780\/78 + 3\/(-9) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7 + -157307824862.\nAnswer: -157307824859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801480648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/41 (b) -0.34 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 4 + 9*s + s**3 - 3 in the form y*s + i*s**3 + k*s**2 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r**(2\/3)*r))*r**(-3)*r**(6\/7)\/((r**(1\/2)\/r*r)\/r)*(r**(-2)\/r**5)\/(r\/(r\/(r*(r**0*r)\/r*r*r)*r))**(-17) assuming r is positive.\nAnswer: r**(1135\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) - (2*(sqrt(343)*-1 - sqrt(343)) - sqrt(343)).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -15, 5*f - 2120 = -q - 4*q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82*-0.5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 12628\/4572 + (-4 - 190\/(-45)).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28145487 rounded to the nearest 10000?\nAnswer: 28150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 186*s = -182*s - 28, 0 = -5*a - 6*s + 58. Solve 20 = -4*v - 4*f, 2*f = -12 + a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**7\/70 + u**5\/10 + 3*u**2. Find the third derivative of n(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 - 5 = 3*s, -4*s + h = 7. Suppose -2*j = -3*g - 10, -5*j - 4 = -g - 3. Put s, -2, g in descending order.\nAnswer: -2, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.8. Let i = -2.6 + 3.6. What is the third smallest value in -0.4, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -101. Let s = 77 + l. Let c(y) = y**3 + 14*y**2 + 12*y - 17. Give c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22219 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2189062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 9. Let x(v) = v**2 + 4*v + 4. List the prime factors of x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6920 is divided by 6679.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mcuiwiuf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46090789.\nAnswer: 19, 37, 65563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.733 minus -97.931627?\nAnswer: 129.664627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2 - 106394*n - 2829920809 = 0?\nAnswer: -53197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -16 + 11 + (5 - 1) + -27 + -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + d**2 + 4*d**2 + 1222*d**3.\nAnswer: 1222*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5582 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let k(b) = 111120*b**2. Give j(k(u)).\nAnswer: -333360*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*((sqrt(19) - (sqrt(38)\/sqrt(2) + 4)) + -2 - (sqrt(19) - (1*(sqrt(19) + -1) + sqrt(19)))*-4)**2.\nAnswer: 32*sqrt(19) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 33 + 7 + 13 + 231*c**2.\nAnswer: 231*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - 3*y)*(y**2 - 3*y**2 + y**2) + (y**2 + 1 - 1)*(2 + y - 2) - 5*y**3 + 3*y**3 + 4*y**3 + 2*y**3 + 3*y**3 - 4*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*d + 4 - 32 = 0, -5*y = -d. Is y > -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 23 = 10*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3228 is divided by 154?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Suppose -v*r = -4*r + 110. Calculate the remainder when r is divided by (93\/9 - 4)*6\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x + 150 = 31*x. Let o = x - -12. Solve -5*m = 4*f - 4*m - 12, -o*f = 4*m - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/40680 and -115\/56952.\nAnswer: 284760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 1, e: 3, x: 1, r: 7, d: 3}. Give prob of picking 2 e.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 8*g**2 - 7*g + 1. Let n be l(7). Let z(a) = n - 1 + 2*a. Let w(i) be the second derivative of -i**4\/12 + 2*i - 61. What is w(z(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2895345371+5795\nAnswer: 2895351166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16995460.\nAnswer: 2, 5, 849773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 1 - 1)*(4 + 5 + 1)*(-1 + 7 + 0).\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0*r*(r**(2\/9)*r*r*r)\/r)\/(r**(-6\/5)\/r**(-1\/6)) assuming r is positive.\nAnswer: r**(473\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*y - 4930*y = 1008*y + 862004 for y.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 2. Let s be g(6). Suppose s*k + 3*v + 103 = -91, -86 = 2*k - 4*v. Let r = 73 + k. Which is smaller: 25 or r?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (7 - 16 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 122, 135, 172, 245, 366?\n\"Answer: 2*s**3 - s + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-35))\/6*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 824 divided by -36\nAnswer: -206\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 11 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 6*d**2 - 7*d - 3. Let s be r(4). Is (-270)\/(-14) - -4*s\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10235 and 152368.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (108 - 117) + (-1 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 208 * -0.36.\nAnswer: -74.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11 + z**2 + 6*z + 0 + 2 - 2 + 0. What is j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.56694472 rounded to one decimal place?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/4 + 2)*240\/10. Let w be 2 + (-8)\/q + (-8476)\/3798. Is -1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-60)\/(-232))*54\/(-216)*-10\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(-132)*-2 - (-22)\/121\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-1092))\/((-495)\/585)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 1. Let i(k) = 4*k**3 - 4*k + 3. Let o(v) = 3*v**3 - 3*v + 3. Let u(y) = 6*i(y) - 7*o(y). Let x be u(-1). Calculate z(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 + y + 20. Let z be c(14). Let q = -34 + z. Suppose 5*m - 324 = -2*x, -2*x + 2*m = -q*x - 310. List the prime factors of x.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21175 - 12220. What are the prime factors of w?\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4124.7153 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 3\/2, -4, 15, 3, -2\/113?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.347 + 7.847. Sort -2, 0.3, -0.49, -3, p in descending order.\nAnswer: 0.3, -0.49, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 74. Let f = j - -8. Suppose 0 = -4*a + y + f, 5*a + 2*y + 0*y - 76 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**2)**(2\/57)\/(u**(-2\/7)*u*u*u**(1\/6)\/u))\/((u*u**(-2))\/(u\/(u*(u*u**(-1)\/u*u)\/u))*(u\/u**(-4))\/(u*(u*u**(-8)*u)\/u)) assuming u is positive.\nAnswer: u**(-415\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -515 + 550. What is the remainder when 4163 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 144, 163, 210, 297, 436, 639, 918?\n\"Answer: 2*q**3 + 2*q**2 - q + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.43475 - 978235.\nAnswer: -978234.56525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c + 4*o = 420, o + 519 = 5*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5\/6 + 13*u**4\/6 + 11*u**3\/2 - 37*u**2\/6 - 58*u\/3 - 10 = 0.\nAnswer: -2, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 smaller than -193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 16 = 2*c + v, -2*c - 5*v - 16 = 0. What is the lowest common multiple of c and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -284905\/18 + 15833. What is the common denominator of v and (-2 - (-214)\/20) + 1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109.5078 + -0.1078. Let a = -49.6 - d. Does a = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 10 = 2*k + 4*c, 0 = -4*k + 3*c + 13. Let z = 299 - 295. Solve z*n = 9 - k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 621 and 5377377?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-9))\/(6\/(12\/(-4))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*q - 148*q - 14*q**3)*(0 - 8 - 3)*(-3*q + 3*q - q).\nAnswer: -154*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 2 + 0*s)*(283 - 48*s - 283).\nAnswer: -96*s**2 - 48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -283, -872, -1991, -3814, -6515?\n\"Answer: -29*y**3 - 4*y**2 - 18*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1622030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19718a (base 15) to base 12.\nAnswer: -4b9004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuthubutuubyuuthhth. Give prob of sequence bh.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))\/m**(2\/5))\/(m**3*m**(5\/2)*m) assuming m is positive.\nAnswer: m**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1944 rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 3979.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-156)\/36 + (4 - 1). Suppose 217 - 219 = -n. Let u be 0*n*3\/(-18). What is the third smallest value in u, -11\/4, 3, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -11*a. Suppose 0 = -j + 5*u + 141, -5*u = -a*j - 2*j + 267. Suppose 0*x + j = 4*y - 2*x, -y - 5*x = -26. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 108.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 1\/6*m**4 + 1\/20*m**5 + 2*m + 0 + 5\/6*m**3 + 2*m**2. Let j(y) = y**3 - 2*y**2 + 6*y + 60. Let a be j(-3). What is x(a)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -24. Suppose 0 = 3*y + v + 7. Let b = -6 - y. Solve b*a = 27 - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107870909*d**3 + 104752014*d?\nAnswer: -647225454*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/20 - -2)*4. What is the derivative of i**4 + 132*i**2 + i**4 - t - 68*i**2 - 78*i**2 wrt i?\nAnswer: 8*i**3 - 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36034 (base 12) to base 14\nAnswer: -1c66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10b + -3?\nAnswer: -10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htnttxntnnt. Give prob of sequence tht.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 100, 5, 964?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/20 + 2 + (-27)\/(-5). Solve -p*c + 8*c = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/3)*(d*d\/(d*d**(-3\/2)))\/d*d*d**(2\/33)\/d**(2\/107))**(-36) assuming d is positive.\nAnswer: d**(-121830\/1177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 61\/7. Let f be (-15)\/(-2) - (-2)\/(-4). Let t(q) = -q**3 + 7*q**2 + 2. Let p be t(f). Solve p*u - c = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -26886156?\nAnswer: 1\/13443078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338353350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 + 4*t + 7. Let n(z) = 6*z**2 - 4*z - 8. Let q(l) = -5*f(l) - 4*n(l). Let y(p) = -29*p + 20*p - 13*p**2 + 18*p + 6. What is -9*q(r) - 4*y(r)?\nAnswer: -2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550511 times 2.23?\nAnswer: 3457639.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8468 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 4*v**2 - 12*v - 6. Let z be b(-6). Let y be (135\/(-24) - z)*(-5)\/3. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12)*(-6)\/(-4)*1098\/549)\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -9)*4\/2. Let h = o + 1. What is the greatest common factor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 2*n)*(-190*n**2 + 52*n**2 - 114*n**2).\nAnswer: 252*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/22 - 7000\/(-8800). Which is the closest to -0.1? (a) 12 (b) 1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*d - 23*d + 26*d - 6315904 = 0. List the prime factors of d.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 c when three letters picked without replacement from {g: 1, n: 5, r: 5, c: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 758.62 to the nearest ten.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/269?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**2 + 477*i - 558. What is w(52)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 8\/3*k**2 + 2*k - 2\/3*k**5 - 8\/3*k**4 - 4\/3*k**3 = 0 for k.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-7 - (-108581)\/15510). What is the highest common factor of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 3. Let r be j(-2). Suppose 8 = -b + 3*p, -3*b + p + 0*p = -8. Let i be ((-6)\/20)\/(b\/10). What is the closest to -2\/7 in 0, r, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**5\/20 + 13*u**4\/12 + 109*u**3\/6 + 7*u**2. Find the first derivative of c(x) wrt x.\nAnswer: -6*x + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 1 t when three letters picked without replacement from thijrui.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/18396 and -193\/613200.\nAnswer: 1839600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*p + 7*p**2 + 91*p + (-4 + 4 - p)*(-3*p + 2*p - p))*(-3*p**2 - 12*p**2 - 11*p**2 + (-3*p + 5*p - p)*(2*p + 0*p - 4*p) + p**2 + 0*p**2 - 2*p**2).\nAnswer: -261*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -25\/3 (c) 0 (d) 4\/7 (e) -7\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1723\/7854 + (-160)\/1360 and 65\/6.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 - 11*r - 1. Let d(l) = -4830*l**2 + 244*l + 6. Let w(y) = d(y) + 10*z(y). Find the second derivative of w(a) wrt a.\nAnswer: -9780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t**3 + 2 + 2\/3*t**4 + 1\/6*t**6 + t**2 + 17\/30*t**5 + 0*t + 1\/105*t**7. Factor b(c).\nAnswer: 2*c*(c + 1)**2*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 1378428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose 14 = -38*z + 37*z. Let h(n) = -10*n - 4. Let k(f) = -3*f - 1. Calculate t*h(p) + z*k(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11552958 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1498*u - u**2 - 7785*u + 736*u + 0*u**2.\nAnswer: -u**2 - 8547*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 - 8*q - 34 - 9 - q + 9 + (-4 + 2 + 3)*(3 - 2*q - 3).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -27*b**3 + 12*b**2 + 12*b - 12. Let i(x) = 11*x**3 - 5*x**2 - 5*x + 5. Let y = -31 + 36. Determine y*q(l) + 12*i(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 5*r**2 - 2*r - 2. Let o be (-40)\/(-8) + (-27 - -15). Let z(f) = -9*f**3 - 16*f**2 - 6*f - 7. Calculate o*l(y) + 2*z(y).\nAnswer: 3*y**3 + 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((48\/(-15))\/(-16))\/((-4)\/10))\/((-13)\/1274)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 - f + 4. Let a = 35 + -26. Suppose -5*w + 3*n + 6 = 0, 4*w - 2*n - a = -w. What are the prime factors of m(w)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210365943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11492858*j**2 + 3149464*j wrt j?\nAnswer: 22985716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2 + 11. Let k = -60 - -93. Let n = 75 - k. Calculate the remainder when n is divided by a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1411, -355, -5?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 1 - 1)*(-77 + 2*d + 63 - 3*d + 4*d + 0*d - 2*d - 3*d + 5*d + 2*d - 2*d - d + 2*d + (6 - 2 - 3)*(-4 - d + 4)) to u + i*d + q*d**2 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3963 + -1287976\/325. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 7. What is p(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 5:51 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 47*q + 20. Let c be m(-32). Let p = c + 318. Is p a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21390.6 and 1.\nAnswer: -21390.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 - 18*t - 87. Calculate the lowest common multiple of 544 and b(-7).\nAnswer: 9248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 795.\nAnswer: 54060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4920, 0.5, 34, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5, -12 = -h - 0*h + 2*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (38 - -5) - -16) + -15\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -307988 divided by 148\nAnswer: -2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 76, -0.3, 0.24, -1.1 in decreasing order.\nAnswer: 76, 4, 0.24, -0.3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*l = 0, -5*u - 5*l + l + 31 = 0. Suppose y - 3 = u. Suppose -y = -z - 3. Let c(p) = -p**2 + 2*p - 1. Give c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 2*d**2 - d + 16. Let u be k(0). Let z be ((-606)\/(-8))\/((-4)\/u). Let p = 472 + z. Is 44 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 86*f**2 + 494*f - 2310 = 0. Calculate f.\nAnswer: -35, -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 369*j - 40592. What is c(110)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2125, -7577, -16665, -29389?\nAnswer: -45749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Does -52635 = -52635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0253 and -2.\nAnswer: -2.0253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:58 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0 - 25\/2*q**2 - 41*q + 29\/6*q**3. What is the derivative of h(p) wrt p?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2279827014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 23*o. Let m be g(7). Which is bigger: m or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8532 = 3*w - 3*f, 8533 = 4*w - w - 2*f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 36*p + 33.\nAnswer: 3*(p + 1)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**6\/600 - 3*k**5\/25 - 18*k**4\/5 - 288*k**3\/5 - k**2 + 17. Determine d, given that l(d) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8 = 4*b - 2*b, 2*o = -2*b + 6. Let c(k) = -10*k - 6. Let y be c(-2). Is y less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1024 and -47\/4992.\nAnswer: 39936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 0*a + 18. Suppose -a*k - 6809 + 1695 = -4*c, 2562 = 2*c - 4*k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*y - 82*y = 0. Solve f - 5 = 5*f + 5*b, 3*f + 3*b = y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3906 and 5922.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 18*i - 40. Let m(u) = 2*u**2 - 19*u - 38. Let h(v) = 3*c(v) - 2*m(v). Let f be h(-12). Solve 0*d = -f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/660 - 7*j**5\/330 + 82*j**2 - 3. Factor l(h).\nAnswer: 2*h**2*(h - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 39 = -3*t. Let o = -84 - -58. Let m be (0 + 0 + o)*-4. Calculate the greatest common divisor of t and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 7:52 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40320 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) -130248 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*t**3 - 4939*t + 4940*t - 253*t**3 in the form c*t**3 + g*t**2 + n*t + d and give c.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 bigger than 0.0753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 10 = 2*u. Let h(a) = 7*a**2 - 48*a + 276. Let l be h(6). Suppose u*i = i + l. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611481970379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184.3 - 208.3. What is the fourth biggest value in h, 0, 1, -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166)\/249*-39*12\/(-13416)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 11) in base 7?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 184. Suppose 3*t = 5*v - i, -5*t = 4*v - 35 - 41. Is 11 a factor of v + 2*4\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 2)*(-2 - 4 - 2 - 3*f).\nAnswer: 15*f + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2 - 174207*l + 27124?\nAnswer: 2*l - 174207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -42*t + 49. Is b(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 7*c**2 - 12*c + 2. Let w be s(-3). Solve 0 = w*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - (4 + (3 - 5)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 4*i - 80. Suppose -i*n = -6*n + 40. What is the common denominator of 15\/n*186\/(-15) and -41\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59*64\nAnswer: 3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.5 or -0.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3. Let o(q) = q**2 - 4*q. Let s be o(6). Let m = 20 - s. Calculate the lowest common multiple of m and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + 6*n**2)*(-1 + 12 + 1)*(2*n**2 + 0*n + 0*n).\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19*l - 145. What is v(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 152313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.001?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m. Suppose d = m, 6*d - 5*d = 4*p. Solve p + 4 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -80*s**2 + 68. Let w(v) = 61*v**2 - 51. Let b(p) = -3*d(p) - 4*w(p). Let m(c) = 13*c**2 - 2*c + 2*c. Give m(b(a)).\nAnswer: 208*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44857\/73807 + -3\/3209. What is the third biggest value in -5, 1, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from udrfqqd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11554842161 - -0.1.\nAnswer: -11554842160.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 + 7*b + 1 - b + 3. Let i be j(-2). Let f = i - -23. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -6939.\nAnswer: 80\/6939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58982179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnm when three letters picked without replacement from {y: 2, p: 3, c: 1, m: 3, q: 1, n: 8}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -8*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -58, -76, -96, -118, -142?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 833*k + 13767. Determine y(-260).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-1.9.\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -70.6?\nAnswer: -635.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 162343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12056302 to the power of 1\/2, to the nearest integer?\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 659.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2083*b - 44*b + 397*b - 822*b as c*b + h and give c.\nAnswer: -2552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 times 0.22?\nAnswer: 240.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - ((-4365)\/63 - (-2)\/7). Let q = 73 - i. Which is the third biggest value? (a) 0 (b) q (c) 4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 - 19 + 24 + 28*j**2 + 108*j + j**3 + 43 - 76*j. Does 7 divide a(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169\/(-52)*104\/13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.2, 26, 2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwiwiwiiwi. What is prob of sequence iw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -24*r. Let n(k) be the third derivative of -k**5\/15 - 91*k**2. Calculate q(n(w)).\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 - 18*c**2 - 21*c**2 + 195 - 316.\nAnswer: -39*c**2 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*-1*sqrt(2448) + sqrt(2448))*-4 + -1*(-2 + (sqrt(68)*-4)**2).\nAnswer: -1090 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13290033 and 1038.\nAnswer: 26580066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -322, -4 in increasing order.\nAnswer: -322, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7840663*x + 122616.\nAnswer: 7840663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147130002?\nAnswer: 2, 3, 17, 283, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 4760?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*i - 117*i - 284*i + 442*i + 2*i**3.\nAnswer: 2*i**3 - 170*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16755253 (base 9) to base 11.\nAnswer: -4832317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49 - -49)\/(-3 - -9). Solve i = 74*m - 75*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 2220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*w - 4382 = 4426 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -174 in -2\/7, 2\/9, 18, -0.4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14663*u**2 - 14673*u**2 - u**3 + 29336*u**2 + 0*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424948 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54334737.\nAnswer: 3, 17, 19, 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028547911 rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7154599453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -d - d - 5*s, -5*d = 2*s - 74. Suppose 13*v + d = 17*v. Solve v*f = -3*o + 9, -3*o + 12 = -0*f + 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5*t = 19 - 52, 5*o + t = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7936.22 millilitres to litres.\nAnswer: 7.93622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + p**2 + 6*p - 227 - 12*p + 5*p + p**2 in the form w + y*p**2 + l*p and give w.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - z + 25. List the prime factors of q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhsmtsttsmtrrtmmyt. Give prob of sequence mm.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 5*j**2 + 8*j - 10. Is w(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -18*b - 2. Let i(w) = 17*w + 1. Let z(t) = -5*c(t) - 6*i(t). Suppose 3*d = 5*x - 32, 2*d - 4*x + 12 = -3*x. Is 13 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/15 - 0 - -15*(-7)\/(-63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -104\/2415 and 31\/161.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let o(z) be the third derivative of -z**5\/12 - 4*z**2. Calculate w(o(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185.71168 + -185.76. Which is smaller: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n - 72. Let x be s(-9). Let o(a) = a**2 - 7*a - 11. Determine o(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 25. Solve -2 + 17 = -d*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let t be (12\/84)\/((-3)\/(-21)) + -5. Let v = 0.3 - 0.8. What is the third smallest value in v, t, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 712345 from -116.\nAnswer: -712461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1283, 1152, 1019, 884, 747, 608, 467?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 73*l**2 - 25*l - 22. Let c be i(-24). Let d be (34\/6)\/(2\/(-18)). Does 5 divide (-606)\/d - c\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*a**2 + 3*a**4 - 15*a**2 - 13*a**3 + 33*a**2 - 11*a**3 wrt a?\nAnswer: 72*a - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/7610845 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.11, -9\/5, -2, -0.1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -66477408 greater than or equal to -66477397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 - 3. Let m be x(-4). Let r be m\/(2\/(24\/9)). Put -5, 4, r in ascending order.\nAnswer: -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -7*p + x, 0 = -5*p - 27*x + 26*x + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2053932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4\/3 - 2\/15*o**3 + 4\/15*o**2 + 26\/15*o = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 852827872 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135139?\nAnswer: 101, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/11, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -1, 34, 105, 224, 403, 654, 989?\n\"Answer: 2*f**3 - 3*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15659, -125147, -422345, -1001111, -1955303, -3378779, -5365397?\nAnswer: -8009015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422376 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-126)\/(-27) - -2*(-2)\/6. Suppose -5*q + 8 + 7 = 0. Suppose -5*g = p - q*p - 9, 3*g + 5*p = 24. Solve 0 = -v - g*v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.946946ml in litres?\nAnswer: 0.001946946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10997 and 143754355.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*o + 15, -8 = -3*o + q - 2*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -850939583.99999962 + 850939609. Let w = 23.8 - -1.2. Let v = w - t. What is v rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:46 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214767 is divided by 1428.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54327, -217311, -488951, -869247, -1358199, -1955807?\n\"Answer: -54328*l**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**2))**(-15)\/(h**(-8)*h**0) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + p + 3*p)*(7*p - 3*p - 2*p) - 6*p**2 + 14*p**2 - 9 - 6*p**2 + (0*p**2 + 2*p**2 + p**2)*(-6 + 4 + 4).\nAnswer: 6*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4657075.\nAnswer: 5, 186283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*c = -81*c - 77*c - 46*c - 272, -3*h = -2*c - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5555 is divided by 5052?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + q = -2*f - 2*q - 20, -5*f - 184*q + 1049 = 154 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4816251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -11 (c) -3.3 (d) 3\/4 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15885892, -15885894, -15885896?\n\"Answer: -2*s - 15885890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0.2. Let q = z - -0.9. Let y = q + -1.6. Which is smaller: 6\/11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 2*a - 1. Let x be 2\/(-4) + (-15)\/(-6). What is the remainder when 19 is divided by q(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*u + 4*k, -u + 4*u - 2*k = 4. Suppose u = 5*b - 4*r - 15 - 0, -2*b + 3*r = -13. Let f be b\/(-5) - (-5 + 14\/(-5)). Solve -5*x - f = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15900210 is divided by 69.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 81*z**2 - 166*z + 860. Calculate q(83).\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 19*p + 4. Give d(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*u + 43*u - 18*u)*(-4*u**4 - 2*u**4 + 5*u**4 + (-3*u + 3*u - u)*(-u**3 - u + u) - u**4 + u**4 - 2*u**4 - 4*u**3 - 2*u**4 + 4*u**3).\nAnswer: 512*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 = -93. Differentiate -7*b + 42*b - u + 56 wrt b.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1788 divided by 596.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/3))\/a**(-7\/2) assuming a is positive.\nAnswer: a**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35595796 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 4*b - 5*b)*(b**3 - 2*b**3 + 0*b**3) + 9*b**2 - 20*b**2 - b**4 - 173*b**2.\nAnswer: -2*b**4 - 184*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289089031 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-17*c - 4*c**2 + 17*c)*(2 + 3*c - 2).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (469\/21)\/(18\/1458) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16468.01 grams in tonnes?\nAnswer: 0.01646801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -292*s + 9209. What is the tens digit of b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7480)\/153)\/(-20)*5\/(-40)*-18?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/8, 4, -29\/5, -26, 0.37?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 507220696 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4498, 4567, 4682, 4843?\n\"Answer: 23*j**2 + 4475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8505, 1\/5, -3\/7 in ascending order.\nAnswer: -3\/7, 1\/5, 1.8505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 divided by 1?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1969052 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 2\/13, 0.4, -1\/98, 118\/7, -0.3?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -180 + 175. Let z(r) = -6*r - 2. Let f(l) be the first derivative of l**2\/2 + l - 16. Calculate k*z(d) - 2*f(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000441562404 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u**2 + 2\/7*u**3 - 8\/7*u.\nAnswer: 2*u*(u - 2)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u + 81. Let p be u\/(-18)*13204\/6. Suppose -1242 + p = 3*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 5. Let u = 10 + -3. Let s = k + u. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -4, 5, 4, 10, -4485 in ascending order.\nAnswer: -4485, -5, -4, 2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10977.\nAnswer: 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -185, -3, 0, -28 in ascending order.\nAnswer: -185, -28, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:24 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/9 - 36238*t**3\/9 + 54746546*t**2\/3 - 91143610*t.\nAnswer: 2*t*(t - 9057)**2*(t - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 11. Let x(r) = 3*r - 13. Let g(u) = 6*u - 26. Let a(h) = 4*g(h) - 9*x(h). Let d(s) = 2*s - 9. Determine w*a(b) - 7*d(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0175227 tonnes?\nAnswer: 17522700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -742.696 + 743. Round u to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + 21\/140*-8. Put z, 1, -3, -0.6 in increasing order.\nAnswer: -3, z, -0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 13) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 145882*y**2 - 583504*y + 583496.\nAnswer: -2*(y - 72937)*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -16. Suppose 0 = -3*k + 78 + v. Let n = -24 + k. Calculate the remainder when 19 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w**2 - 78*w + 2. Is 11 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -61. Is ((-7)\/(v\/254))\/(2\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23, 30 in decreasing order.\nAnswer: 30, 4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 618\/(-721)*(-28)\/300\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 12:30 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*m - b - 20, m = -3*b - 8. Suppose 10*i = 39 + m. Suppose -4*q + i*h + 110 = -2*q, 2*h = 0. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 2010111120000?\nAnswer: 2010111120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4918, -9845, -14772, -19699, -24626?\n\"Answer: -4927*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1470000 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c - 14. Let x be j(3). Let r(s) = 6 - x*s + 3 - 9. Let u(w) = -3*w + 5. Let k(t) = 2*t - 3. Let p(n) = 5*k(n) + 3*u(n). What is r(p(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/112*4)\/((-3)\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 237 = -4*u - 617, -3*u - 629 = 2*o. Let d = u - -402. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**(-31)*(q*q\/q**1*q)\/(q**12\/q) assuming q is positive.\nAnswer: q**146","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -127, 5, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 15*y - 72. Give t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21122 by -179.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 + 38369790*m - 38369792 = 0. Calculate m.\nAnswer: -19184896, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:13 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369088?\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000923542843 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.616 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 3:59 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -62\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-9)\/6)\/((-4)\/(-4) + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 13*w. Let q(n) = -3*n**2 - 4*n**2 + 2*n**2. Determine q(f(l)).\nAnswer: -845*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -37*d - 4. Let b be (-7)\/5 + 30\/(-50). Calculate the remainder when f(b) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 1. Suppose -h = -5*n + n + 3, 0 = -2*n - 3*h + 19. Let p be o(n). Suppose -2*q - p*q = 10. Which is smaller: q or 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54859 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 62 times 39.7\nAnswer: 2461.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63597 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 17*s - 20. Let g be l(18). Let h(j) = -100*j + 1. Let p(u) = 67*u - 1. Let f(d) = 5*h(d) + 7*p(d). Does 20 divide f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*r**3 - 76189020*r**2 + 25396343*r - 2116362.\nAnswer: -(r + 2116362)*(6*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2061*k + 1114*k - 386*k = 356951 + 22353 for k.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28704 and 1035?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18562 + -18420. What is the remainder when l is divided by 87?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2509147 is divided by 561.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 2*x - 1. What is i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51635010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -82300 - 858926?\nAnswer: -941226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(-23)))\/h)\/h**(-12)*(h\/(h*h**(-38)))\/(h\/h**(-3\/5)*h))**(10\/21) assuming h is positive.\nAnswer: h**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135.9 - 136. Which is greater: i or -226?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2.13, 3, -3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 16*m = a + 12270, a = m + 6099. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 - 89195*j**2\/2 - 111499*j\/2 - 11150 = 0. What is j?\nAnswer: -1, -1\/4, 22300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.077977 millennia to decades.\nAnswer: 7.7977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1095\/7 - 157. What is the closest to -1 in 5\/2, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -24*c - 3. Let a be n(-3). Let f = a - 63. Find the first derivative of -27 - 6*d - d + f*d wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**2 - 7*x - 5. Let p be 6\/(-15)*(1 - -9). Let k(z) = -7*z**2 - 6*z - 4. Calculate p*i(d) + 5*k(d).\nAnswer: -3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*q = -6*q - 26, 2*a - 20 = 4*q. Suppose 2*o - o + 2*j = 0, 4*j - a = o. Let g = 171\/2 + -85. Sort g, 1, 0.04, o in ascending order.\nAnswer: o, 0.04, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375473?\nAnswer: 2375473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -50 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1313316 and 0.02.\nAnswer: 26266.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 = -2*q, 6*v + 4*q + 10 = 4*v. Suppose 0 = -v*l + 7*l + p - 164, 2*l = -p + 80. What is the remainder when 79 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15126, -3, -61 in decreasing order.\nAnswer: -3, -61, -15126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495110459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -629 - -638. Solve m = 4*q + 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 120.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -2685.39658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = -5*c + 71, 5*c - 85 = 5*a. Suppose 2*u - c = q, 2*u + 4*q - 9*q - 17 = 0. Let f(h) = -h + 14. Let w be f(5). Solve -3*r - w = -u*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - 10. Let y be (-8)\/s*(-3)\/6. Which is the smallest value? (a) y (b) 3\/8 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -7*n**4\/8 + 2*n**3\/3 + 1820*n**2. Let b(h) = 6*h**2. Calculate b(q(f)).\nAnswer: 2646*f**2 - 1008*f + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - -1221201110122?\nAnswer: 1221201102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*v - 37, 0 = 2*x + 18*v - 13*v + 17. Let m = 16 + x. Solve -31 = m*b - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 572*m + 4492. Calculate h(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 15*b**2 - 14*b. Let m be l(14). Suppose 2*c + 90 = -0*s + 3*s, -3*s + 5*c + 90 = m. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.4 - 1.6. Let n = k - 1.8. Which is the third biggest value? (a) n (b) -32 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from {u: 2, v: 1, m: 4, j: 11, l: 1, i: 1}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 + 6*h**2 - 3*h. Let k(d) = -15*d**3 + 13*d**2 - 7*d. Suppose -13*g - 7*g = -300. Suppose -g*i = -14*i + 6. Give i*k(l) + 13*v(l).\nAnswer: -l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h**4 + 89*h**2 + 0*h + 0*h**3 - 9\/4*h**5 + 0. Let q(c) = -2*c**2. Give q(f(x)).\nAnswer: -36450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/4 (b) 4 (c) -4\/5 (d) 9543 (e) 22 (f) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.625286 milligrams in kilograms?\nAnswer: 0.000004625286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796 a factor of 125739115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201100000100201 - 12?\nAnswer: -1201100000100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (4 + (sqrt(1088) - -1*sqrt(1088)) - (-2*(sqrt(136) + (sqrt(136)*1 + sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136)))\/sqrt(8)) + 2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 - x**2 + x + 2*x**4 + 6*x**2 to the form o*x**2 + w + z*x + a*x**4 + h*x**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/50 + (-1463)\/95.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80340.3027 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1188175\/143 + 8309. Calculate the common denominator of b and -109\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3367 + 35*w + 3360 - 6727 + 37*w - 83*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201010 - 0?\nAnswer: 201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(-1\/5)\/h*h)\/h)**25\/(h**(-16)\/(h**(2\/61)*h)) assuming h is positive.\nAnswer: h**(2259\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -1\/42*k**4 + 0 + 2\/21*k**3 - 2*k - 1\/7*k**2. Factor v(j).\nAnswer: -2*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 183294*f**3 + 91651*f**3 + 91605*f**3 + 4*f.\nAnswer: -38*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(612))*-6.\nAnswer: -12 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1122\/403 - -107945692\/38772227. Let i = -7119532\/3174897 - c. Find the common denominator of 35\/3 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w. Let x(k) = -34*k**2 + 3 + 5*k - 5*k - 3*k**2 + 10*k**2. What is x(r(g))?\nAnswer: -243*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1886?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -5430.124?\nAnswer: -5430.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let f(i) be the third derivative of i**7\/1680 - i**5\/60 - 2*i**2. Let n(b) be the third derivative of f(b). What is n(l(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0292768 rounded to four dps?\nAnswer: -0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -22. Let s(c) = c**2 + 7*c + 4. Let t be s(-7). Solve -4*l - 16 = -4*i, 0 = -3*i + i + t*l + m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*v - 12, 2*v + 18 - 6 = -3*m. Solve o + 0*o + 4 = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 - 41. What is the greatest common divisor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13281 is divided by 1658?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 5 = -16. Let u(f) = 6*f**2 + f**3 + 0*f**z + 2*f - 9*f**2. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 m when three letters picked without replacement from {j: 1, h: 3, a: 2, f: 1, m: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 825110.9779 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 306*w**2 - 774*w + 193. Is u(60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032376634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -347*k - 25 + 159*k - 1 + 7*k**2 - 1.\nAnswer: (k - 27)*(7*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.286123002409 + 0.\nAnswer: 0.286123002409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 10*l + 18. Sort 1, -3, l, 6 in descending order.\nAnswer: 6, l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -4. Let y = 2 + z. Which is the third smallest value? (a) 0.2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let j(w) be the second derivative of -5*w**3\/6 + 51*w**2\/2 - 2*w - 137. Calculate o(j(m)).\nAnswer: -10*m + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -232, -362344, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 + y**3 + 0*y**3 + (-1 + 5*y + 1)*(-2*y + 5 - 5)*(-y + 3*y - 3*y) - 4*y**3 + 4*y**3 + 2*y**3 as c*y**2 + j + l*y + u*y**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166 - 295778\/(-1813))\/(110\/(-56))?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 15*u**3 + 8*u**2 + 2*u + 4. Let y(d) = -45*d**3 - 22*d**2 - 5*d - 11. Calculate -11*m(x) - 4*y(x).\nAnswer: 15*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1325? (a) 93 (b) -0.1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -44351*g**2 + 25*g - 84. Let k be y(-29). Round k to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((t - 3*t + 5*t**2 - 3*t**2)*(-5 + 1 + 2) + (-t - 2 + 2)*(1 + t - 1) + 10*t - 10*t - 11*t**2)*(6 - 4 - 3)*(-1 + 4 - 5) as u*t + x*t**2 + f and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 28 = -3*s, 0 = 24*y - 19*y - 3*s - 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11. Let q(v) = 50. Let r(x) = -2*q(x) - 9*z(x). Suppose 3*k + 3 = 8*k + 4*m, 0 = -2*k - 3*m - 3. Let p(w) = -w + 1. What is k*r(c) + 2*p(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121023 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -518859284*s**3 + 109190137*s?\nAnswer: -3113155704*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*v = -26500 + 29086. Factor v*i**2 + 0 - 4*i**3 - 8\/3*i + 2\/3*i**4.\nAnswer: 2*i*(i - 4)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 8:22 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/4 + v**4\/4 + v**3\/6 - 3*v**2\/2 - v + 48. Calculate the least common multiple of 21 and o(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**2 + 3*s - 14. Suppose 4*z - 5 = -a, 2*a - 5 = -3*z - 0*z. Let r be n(a). Let o(d) = -8*d**2 - 1. What is o(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39b - -70?\nAnswer: -32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 268.128.\nAnswer: 265.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2230.29 * 7.\nAnswer: -15612.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2\/23, 2\/11, -3, 1 in descending order.\nAnswer: 1, 2\/11, 2\/23, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1382)\/(-6)*(-105 + 114)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 98*r - 139*r - 128*r)*(2 + 0 - 1 + (-1 - 1 + 4)*(1 - 3 + 4) - 2 + 2 - 2)*(-2 - 4 + 4).\nAnswer: 2190*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/9 + 14*g**4\/9 + 8*g**3\/9 - 368*g**2\/9 - 1040*g\/9 - 800\/9.\nAnswer: -(g - 10)**2*(g + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(3 - -5) - (-164)\/78. Let z = f + -2855\/78. Find the common denominator of z and -1 + (116\/3)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-45)\/(-14))*-4\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 35 = -4*b, 5*b - 3 + 98 = 4*r. Let h = 32 - b. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57 + 2ad32?\nAnswer: 2acb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345928591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 38*f + 29*f + 0 + 8*f - 8*f)*(-2*f**3 + 2*f**3 + f**3).\nAnswer: 67*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115886 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.629 less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.38 - 0.380059. Round u to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + 0.5. Let y = -0.2 + 0.3. Which is the nearest to 0.2? (a) q (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-2\/95)*o*o)\/o)**(-38)*o**26\/((o**3*o)\/o) assuming o is positive.\nAnswer: o**(-261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188296276*x**3 + 9774431*x**2 wrt x.\nAnswer: -1129777656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24123, 96414, 216895, 385566, 602427, 867478, 1180719?\n\"Answer: 24095*z**2 + 6*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69403677*k - 191834924 wrt k.\nAnswer: -69403677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.34+-1120365\nAnswer: -1120363.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-63 + 28) - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1665814 + -0.040829659.\nAnswer: 1665813.959170341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104 + -43?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3\/8, 0, 8\/17, -0.3, 32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-71588)\/(-11)*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {n: 3, d: 2, y: 3, j: 1, t: 1, e: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*8\/(-10)*3\/4. Let q be (0 - (s - 2))*-20. Let c be (q\/18 + -1)*2. Is c bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - 72) + (47 + -6 - 7).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204604*s**2 + 204521*s**2 - 409126*s**2 - 92.\nAnswer: -s**2 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 934068 and 22417632?\nAnswer: 22417632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 20. Let k = -27 + p. Let y = k - -11.025. Round y to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622852985.\nAnswer: 5, 79, 1576843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 3.69 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761354712.\nAnswer: 2, 13, 97, 174599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/21639813 and 10\/7269.\nAnswer: 21639813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7 + 9)*(2*v**2 - v**2 - 3*v**2) + (-3 + 3 + 2*v)*(0*v + 3*v - v) + 2*v**2 - 2*v**2 - 2*v**2 - 4*v + 4*v + 2*v + 5*v**2.\nAnswer: -15*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3 - 140382*w**2 + 3*w + 140382 = 0.\nAnswer: -46794, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 3789630*m.\nAnswer: -3*m*(m + 1263210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12) - (1015\/1348 + -1). Let w = -679\/1685 - n. Put w, -2, 4\/3 in descending order.\nAnswer: 4\/3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (183\/(-9) + 2)*3. Let y = 189 + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3934, -7884, -11838, -15790, -19734, -23664, -27574, -31458?\nAnswer: -35310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -931 + 14884*p - p**3 - 14884*p + 2*p**4 in the form j*p**4 + z*p + k*p**2 + n + y*p**3 and give n.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37143133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + d = 2*q - 244, -5*q - 2*d + 232 = 0. What is the greatest common factor of q and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1629, -1630, -1631, -1632, -1633?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Let a be t\/(-14) - (-6)\/(-28). Is a < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 135\/(-6)*(-232)\/(-12). List the prime factors of ((-32)\/48)\/(m\/219 - -2).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b + 520 = -74*b. Let m = 134 - b. Solve m*q + 8 = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 158722 - 31*t + 158722 - 403*t**2 + 362*t**2.\nAnswer: t**3 - 41*t**2 - 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4ba (base 12) to base 10\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 372708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 + 303*t - 118. Calculate the remainder when 1067 is divided by q(60).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -145734, -291523, -437376, -583287, -729250, -875259, -1021308, -1167391?\n\"Answer: q**3 - 38*q**2 - 145682*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v**1\/v)\/v*v))\/v)\/v)\/v)**22*(v*v*v*v*v\/(v\/v**(-2)))\/v*v*v\/v**(1\/5)*((v**(3\/5))**(2\/5))**(-21) assuming v is positive.\nAnswer: v**(-1156\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*p + 126*p = 0. Let n(g) be the first derivative of -5\/2*g**2 + 0*g**3 - 8\/5*g**5 + p*g + 20 + 0*g**4. What is the second derivative of n(f) wrt f?\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361432 (base 7) in base 5?\nAnswer: 4043024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 4) + -6 - (-91 - -96)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684561 and 4152?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 - -2 - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/17 + 248*k**3\/17 + 10764*k**2\/17 + 182520*k\/17 + 830466\/17.\nAnswer: 2*(k + 7)*(k + 39)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 8. Let s = b - -9. Let y = -466 - -8856\/19. Sort y, -9, s in increasing order.\nAnswer: -9, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185483 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 43*a**2 - 529*a - 23902. Calculate v(-42).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 458?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/20 + ((-69)\/(-20))\/(-3). Which is the nearest to 2\/21? (a) -4\/5 (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -1\/6*m**3 - 3*m + 0 + 0*m**2 + 1\/12*m**4. Factor u(n).\nAnswer: n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 15 = 45 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*c - 4774 = -8*c - 25*c. Let d(r) = r + 59. What is the remainder when d(0) is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13396186 divided by 6313\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {r: 4, x: 8, b: 4, s: 3}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97633600 and 256?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 142*u**2 - 142*u - 194. Let x be j(-72). Sort -24, x, -3 in ascending order.\nAnswer: x, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 1386341.\nAnswer: 19408774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 32 - (20 - (8 - 2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(9\/(-2)) + 0. Suppose -4*r = -4*w - 296, -x*w - 299 = -4*r - w. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 547818634 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 833 - 735. Calculate the greatest common divisor of 1813 and c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 46574\/1235?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*j**3*r**3 - 13*j**3*r**2 - 15*j**3*r + 14997*j**2*r**3 wrt j.\nAnswer: 66*r**3 - 78*r**2 - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 6*g + 4. Suppose -14 = -4*o + 6. Let l(y) = y**2 - 5*y. Let x be l(o). Suppose x = -4*v - v - 15. What is b(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3054202 + 4?\nAnswer: 3054206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**3 - 7*c + 5. Let y(f) = -14*f**3 - 10*f + 8. Let m(s) = 8*p(s) - 5*y(s). What is the second derivative of m(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 913, 1\/6, -6264, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = -1. Suppose j - f - 2 = 0. Solve 5*w + 15 = 2*k - j*k, k + 3 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:30 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.0207 - -5.880322. Let l = 1.5 - 1.64. Let u = o - l. Round u to five dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 10:50 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20619601 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 11:39 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 8*q + 150 = -6*q + 54, 3*q + 27 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -770 divided by -385.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3381.71858 to zero decimal places.\nAnswer: -3382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1864*b**3 - 192*b**3 + 1730*b**3.\nAnswer: 3402*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 6 (b) 7 (c) -9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-8)\/(32\/60). Solve -n = 4*s + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 326004?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Let h = 11 + -3. Let v(a) = -11*a + 11. Let x(c) = -7*c + 7. Let f(q) = h*x(q) - 5*v(q). What is -f(l) + 3*m(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-72)\/40 - -1). Suppose -2\/7*d + 4\/7*d**3 + 4\/7*d**2 - 2\/7 - 2\/7*d**f - 2\/7*d**4 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.311 and 28.3.\nAnswer: -8.8013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 = -1. Let o(w) = w**2 + 2*w + 1. Let x be o(p). What is s in -1\/4*s**3 + x*s + 1\/4*s**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1900 - 1901. Which is the nearest to -0.1? (a) j (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 - 26 = 0. Find the third derivative of -16*z**5 + 9*z**2 + 3*z**6 + g*z**5 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) 20 (c) 0.03 (d) 2 (e) 2\/19 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 779 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 101610202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.3 minus -0.3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-9) + 2\/(-3). Suppose 260 = -5*v - 15*r, -106 + 246 = -5*v - 5*r. What is the third smallest value in 0.2, 5, v, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47082 and 4366?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l + 2951 + 2282 = 289 + 9 for l.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 4) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + 92. Let s = -142 + f. Which is the biggest value? (a) s (b) -186 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804*f - 4*f**2 - 1479*f + 3283*f.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.37 minus -1?\nAnswer: -323.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 < -5988027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 2290 - 190. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28473 is divided by 550?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 1. Let j = 0.7 + 0.3. Let c = -16\/9 + 98\/45. What is the closest to j in y, c, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from ovoovvovovoo?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(3\/12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/(sqrt(7) + sqrt(7)*2) + -1 - (5*1*sqrt(2) + -3)*6.\nAnswer: -29*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1036, -1088, -1138, -1186, -1232, -1276?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47687.\nAnswer: 43, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 5 + (-112)\/35. Let x = -4 + 9. What is the third biggest value in 3\/7, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82a31 - -1?\nAnswer: 82a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 337905 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 106. Let d = x + 12. Let w be (-2 + 3)*-1*(d - 3). Solve -5*v = -2*k + 9, w = -v + 2*k - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 1885 = -5*b - 89*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -130. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/470230164 and -137\/197991648?\nAnswer: 3761841312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1. Let i(d) = 4*d - 4. Give i(m) + 4*x(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11640 by 3880.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(13\/(-5))*10*(-168)\/5600.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -27*p**2 + 4621*p + 5*p**2 - 2310*p - 2311*p. Let x(u) = -20*u**2. What is x(w(i))?\nAnswer: -9680*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3)\/2 - 0. Let v be -3 - -6 - 7*h. Let l be (-4)\/42*(3 + 0). Which is the second biggest value? (a) 0.4 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 13269\/(-18)*(-252 - -246)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01581550322 rounded to four dps?\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002559 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8040 and 4280.\nAnswer: 860280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 346?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*1*-2 + (sqrt(363) - (3*(sqrt(363) + -2) - sqrt(363)))**2 + (sqrt(363)*-2*2 - (-4 + sqrt(363) + 1))**2 + 3.\nAnswer: -484*sqrt(3) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmdd. Give prob of picking 1 d and 1 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 346151123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.05 + 0.05. Let z = r - -3. Which is the second biggest value? (a) -5 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6))\/(-11*1\/2). Let s = -44\/3 + 15. What is the nearest to s in 0.5, 3, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/sqrt(7)*4)\/(sqrt(108)\/(3*sqrt(9))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/10)\/((-2)\/(-8)). Suppose v*t + 3 = -3. Let q = 235 + -235. Sort 2, t, q.\nAnswer: t, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7945224um in nanometers?\nAnswer: 794.5224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 2*m - 3*m + 3*q, -100 = -m - q. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3843 - 19113\/5. Let h = a - 20. What is the third smallest value in 2\/9, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45372 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 + -5.7. Let f = k + -0.2. Let m be (1\/(-2))\/(2\/8). Which is the second biggest value? (a) 0.4 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h - 2*p, -5*h - 5*p + 19 = -1. Suppose h*q + 22 = 42. Which is the biggest value? (a) -1\/2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 20 = -4*l - 2*c, 3*c = -l - 10. Let u(m) = m**2 + 6*m + 9. Let v be u(-9). What is the smallest common multiple of l and 4\/6*v\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -8. Find the third derivative of -p*q**4 - 421*q + 421*q + 8*q**2 wrt q.\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9328 - -9315. Let t = -0.5 + 0.5. Which is the closest to u? (a) t (b) -2\/9 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 5*a + 18. Let j be b(-26). Suppose -42*f + 40794 = -j. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 732573229447 + -1.2.\nAnswer: 732573229445.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-96)\/15)\/(2\/(-10)). Suppose -a = -j + 31. Suppose -2*c - c + j = 0. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -3.9. Let x = -293 - -292. Which is the nearest to 0? (a) x (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-68)\/8092*-102 - 2\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 - 181 + 3*t + 369.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2*r)**(7\/6)*r**(-4\/3)*r**(-4\/3)*((r*r*r**11)\/r**(-12))**(3\/10) assuming r is positive.\nAnswer: r**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772 - 5756 = 226*p - 634*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 - 6*d**3\/7 + 2*d**2\/7 + 6*d\/7.\nAnswer: -2*d*(d - 1)*(d + 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.61 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 63. Which is smaller: 18\/199 or d?\nAnswer: 18\/199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 48 = -m, 3*m + 4*r - 80 = 0. Suppose 0 = 3*b - w - 34, -m = -2*b - 3*w - w. What is the lowest common multiple of 48 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -275.42 to 0 decimal places.\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/4 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001402 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57347 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: Let s = 0 - 0.4. Let w = 393.3 + -393. Suppose -29*c + 6 = -26*c. What is the closest to 2\/5 in c, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*z + 2\/7*z**4 - 6\/7*z**2 + 0 + 0*z**3.\nAnswer: 2*z*(z - 2)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - -4 - (1 - 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4912 - -4911. Is s at most -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288971 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6875)\/5500)\/(7\/(-4)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let q be w(-3). Solve l - 3*b = -12, q*l = -4*b + 5*b - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from gpgaozt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/46)\/(9561\/(-879612)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 699*s - 2 + 35 = -26*u - 702*s, 1 = -5*u - s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 11*k - 21, -544*p + 30 = -536*p + 2*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1159\/842 + -52\/421. Which is the third biggest value? (a) -18 (b) 1\/8 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -50*i + 128. Let j be p(-14). Let v(c) = -j + c**2 + 828. Let w(r) = -280*r. Give w(v(a)).\nAnswer: -280*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36496 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 h = 83275\/1329 + 3\/443. Let y = -62 + h. Which is the closest to 2? (a) -0.5 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/15)\/((-222)\/90 - -2). Which is the second smallest value? (a) -0.31 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 92. Let i be 25 + 3 + -2 + 1. Solve 5*g + s = i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*-10*(-10)\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3 (c) -205.7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 328532\/809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -7403.\nAnswer: -740.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 528 = -24*m + 155*m, -5*m = -5*t + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 2*w**7\/7 - 7*w**5 - 8*w**3 + 1. What is the third derivative of m(h) wrt h?\nAnswer: 240*h**3 - 840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/3 - 1876*o**2\/3 + 58426*o + 119349600 = 0.\nAnswer: -669, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 11*w + 86. What is the remainder when w is divided by (-107)\/(-7) + (-10)\/35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2473 = m - 2462, -17 = m - 4*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 4. Let t = 23 - 12. Calculate the remainder when (-1 + t)*(1 - -1) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 105621 - b?\nAnswer: 105613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 7:28 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9291, 18589, 27887?\nAnswer: 37185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 + 399 = 5*c. Calculate the greatest common factor of 102 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100860 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 490, 4031, 13642, 32359, 63218?\n\"Answer: 506*o**3 - o**2 + 2*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -66 - (48 + -60 + (29 - -3))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 123256.7 days?\nAnswer: 17608.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244 + 926 + 2426 = 221*w - 9605 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21642 + 21644. Sort -0.1, 0.4455, p in ascending order.\nAnswer: -0.1, 0.4455, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.3655.\nAnswer: 0.1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 1, p: 9}. Give prob of sequence kpj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 27 = 2*i. Let o = 34 - 31. Let h = o + i. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7937 + 0.7937. What is the third smallest value in -11.8, k, -5\/9, 4, 4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -508 - -515. Suppose p*d - 622 = -356. Which is smaller: 17 or d?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-1)\/(-2))*8\/8. What is the smallest common multiple of 6 and r\/((-18)\/81*6\/22)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1406 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28860868, -57721740, -86582612, -115443484?\n\"Answer: -28860872*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 + 160*y**5 - 2*y + 218*y**5 + 5 + 6*y wrt y?\nAnswer: 7560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 134*g**4 - 6*g**2 - 22*g + 3. Let f(w) = -135*w**4 + 8*w**2 + 21*w - 4. Let x(m) = 4*b(m) + 3*f(m). What is the second derivative of x(y) wrt y?\nAnswer: 1572*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*h + 5 + 37, 2*h - 3*g + 8 = 0. Let b be ((-8)\/20)\/(2\/h). Factor d**2 - 4*d**b - d**3 + 2*d**2.\nAnswer: -d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/14120 and 151\/52128.\nAnswer: 92005920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -23. Suppose -2*b + a + 17 = 0, 2*a - 2 + 12 = 0. Calculate the least common multiple of d and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 + -3289?\nAnswer: -32c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -70*f + 55. Let p(z) = -5*z + 4. Let x(g) = -55*p(g) + 4*r(g). Let k(n) = -5*n**2 - 11*n**2 + 41*n**2 - 13*n**2. Calculate x(k(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 5*f**2 + 5*f + 6. Let y be -8*(2 + (-10)\/8). Let q be v(y). Suppose -q = -x - 2. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16905 times -0.6?\nAnswer: 0.10143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*f**4 + 0*f**2 - 1\/3*f + 0 + 2*f**3 + f**5.\nAnswer: f*(f + 1)**3*(3*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 0.15. Let q = 22 - 21.85. Let m = q + l. What is the third biggest value in 0.5, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 770, 858, 996, 1184, 1422, 1710?\n\"Answer: 25*u**2 + 13*u + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3266552193142 - 5.\nAnswer: 3266552193137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 5 (b) -5 (c) -0.015 (d) -1\/9 (e) 379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 75*d + 442*d - 22542065. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0151 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2. Let y(u) = -6912*u**2. What is g(y(c))?\nAnswer: -143327232*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 + 6*g**2 + g**2 + g**2. Let p(r) = 2*r. Determine p(d(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9820 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2320 = 4*i - 33*i. Let l = i - -104. Calculate the highest common divisor of 120 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.43279t in micrograms?\nAnswer: 86432790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let h(l) = l**2 - 557*l + 6. Let j(x) = -554*x + 5. Let z(q) = 5*h(q) - 6*j(q). Calculate z(r(v)).\nAnswer: 5*v**2 - 539*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -185*u**4 - 8*u**3 - 8*u**2 - 2*u - 436. Let w(v) = -2*v**4 - v**3 - v**2. Let s(b) = t(b) - 8*w(b). Differentiate s(d) wrt d.\nAnswer: -676*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13418, -4, 2 in decreasing order.\nAnswer: 2, -2, -4, -13418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150.16397*-0.4.\nAnswer: -60.065588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 7*h + 86. What is the hundreds digit of y(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -566936.7371 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209 - -208. Let t = 28 - 18.5. Let x = t - 9. Which is the nearest to k? (a) x (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 2, j: 2, c: 1, d: 2, r: 5}. Give prob of picking 1 d and 1 w.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 225760 (base 9) in base 5?\nAnswer: 13313421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25450*h**4 + 7*h + 242 wrt h.\nAnswer: -305400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361\/6 + -61. Let d = -26 + 8. What is the common denominator of o and 2\/(-9) - (-491)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 7 + 1. Let x(h) = h**3 - 20*h**2 + 20*h - 17. Let r be x(19). Suppose -12*l = -r + 2. Solve -2*j = -l + o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -6*m - 4*x + 15, 2*m - 4*x = -14. Let g = -0.04 - 0.26. Which is the closest to -0.1? (a) 0 (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 2 z when four letters picked without replacement from zyteezi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/2, 2\/9, -0.28, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f - 100. Determine i(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*x + 1644, 2*x - 1843 - 185 = -5*g. Calculate the highest common factor of g and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i**3 + 3\/2*i**4 + 3\/5*i**5 + 0*i**2 - 11 + 0*i. Factor d(p).\nAnswer: 3*p**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 11:31 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 + 4*p - 1. What is n(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*a - 102 + 24 = 0, 0 = -5*h + 2*a + 115. Suppose 0 = 5*z - 20, -3*k + 8*k + h = -z. Is 306\/15 + 2\/k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*p - 5587 = 68*p - 2068 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = -5*p - 7, 3*k = 3*p + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 - 28*n**4\/5 + 72*n**3\/5 + 112*n**2\/5 + 32*n\/5 = 0. What is n?\nAnswer: -2, -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669102 is divided by 395?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 377, 577, 797, 1043, 1321?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/20 + (-9)\/(-5). Suppose 5*o - 4*f = -31, 0*f - 4*f = -2*o - 10. Let g(v) = -v**3 - 6*v**2 + 7*v - 4. Let z be g(o). Sort z, a, 3 in increasing order.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 12 = -4*c. Suppose -p + 0 = -c. What is the third derivative of -10*o**2 - 58*o**4 + 3 - p + 48*o**4 wrt o?\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 14*w**3 - 3*w**3)*(4 - 3 + 0) - 2*w**3 - 3*w**3 + 3*w**3 + (-w**2 + w**2 - 2*w**2)*(1 - 1 + w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(192) + sqrt(192) - sqrt(192)) + sqrt(192))*5)**2.\nAnswer: 800*sqrt(3) + 19225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -157. Suppose -t*l + a = -251, -2*l - 2*l + 2*a = -334. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from spsppp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from zhsle.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Suppose 0 = 5*o + 2*v - y, -5 = 5*o - v - 2. Solve o = 2*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45621822860 - 45621822725.299995892. Let h = -134.7 + x. Round h to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -173. Solve 5*x + q = 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 10*w**2 + 9. Let q be t(-10). Let g = q - 5. Solve 4 = -2*z - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*s - 6 + 6 - 3*s**3.\nAnswer: -3*s**3 - 115*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4731920 and -2?\nAnswer: -9463840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:50 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 83*x - 116 = -85*x, -2*w + 3*x = -82. Solve 6 = 29*p - w*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 95814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 10\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x - 231 = r - 663, -27 = 4*r - 3*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 24 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 17 - 3*a**2 - a**4 + 0*a**2 - a**3 - 19 to l*a**3 + o*a**2 + q*a + g*a**4 + r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than 192153?\nAnswer: 192163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6443105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 88122 divided by -6\nAnswer: -14687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 52. Let s = -18 - w. What is the remainder when 15 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -6)*((2 - 4) + 1). Suppose -2*f - 3*o = -6*f + 9, 4*f - 13 = -o. Suppose 2 = f*c - s. Solve 0 = 3*y - c*z - 17, -4*y + 22 = -5*z - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61\/16, 43\/2, -26.\nAnswer: -26, 61\/16, 43\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 287*l**3 + 2*l**4 + 287*l**3 - 3*l**4 - 2*l**4 + 4*l**4 + (3 + 2 - 7)*(0*l**4 + 3*l**4 - 2*l**4).\nAnswer: -l**4 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/3 (c) -8\/9 (d) -0.019 (e) -1\/7 (f) 1 (g) -744\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5043*l = 5111*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*16\/36)\/(2\/(-3)). Factor -l*u**2 + 2*u - 4\/3.\nAnswer: -2*(u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 351707113*a**3 - 459*a**2 - 13*a - 372?\nAnswer: 2110242678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 2:08 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + z**2 + 5*z**2. Let m(s) be the third derivative of s**5\/30 + 90*s**2. Give f(m(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 5. Let c(t) = 4 + 14*t - t**2 - 4*t - 11*t. What is c(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11220843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.034 + -0.03449. What is j rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h**3\/2 + 30*h**2 + 75*h\/2 - 125 = 0. Calculate h.\nAnswer: -5, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 3 + -1 + 2 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -24428130?\nAnswer: -24428130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:43 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6258 = 2460. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301165810 to the power of 1\/2, to the nearest integer?\nAnswer: 17354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 201517059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212)\/(-28) + 400\/280 - 3\/((-6)\/(-70))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**6)**(-28)\/(x**(-1\/2))**(3\/44) assuming x is positive.\nAnswer: x**(12323\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 663877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16475 is divided by 5491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17770*o**6 - 5*o**2 - 3377 wrt o?\nAnswer: -2132400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + w = -3*h - 10, -94*h - 87*h = -181*h - w - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 4 = 0. Let s be (-19)\/(-7) + (-2)\/(-7). Suppose -s = -m - 2*m. Solve -f*a + 0 = 3*v - m, -2*v = 2*a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2\/2 - p - 1. Let x be g(-3). Let j be -4199 + (3 + x)\/1. What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 854 and 122?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -859.17 + 875. Let j = i + -16. Let o = j - 0.83. Which is bigger: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + (-583)\/(-77))\/(3\/84). Solve -12*l + q = 6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9311315 - 9311419 - 26*p + 18622734.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 701, -0.5, 5, 12, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 1. Let s(y) = 6. Let d(v) = 5. Let l(x) = 7*d(x) - 6*s(x). Let h(a) = -2*a + 29. Let b be h(14). Determine b*m(p) - l(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 403a9 - 3?\nAnswer: 403a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-180) - (-29)\/95?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196 - 196. Let h(x) = 13*x + 38. What is the remainder when 73 is divided by h(m)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Let z = w - 1.6. What is the third biggest value in z, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Let d(y) = -6*y**2 - y + 1. Let s be d(j). Which is greater: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 3)*(-217*g + 1 - 213*g + 456*g)*(-2 + 5 - 4)*(0 - 2*g**3 + 0).\nAnswer: 260*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35435684, -35435682, -35435678, -35435672, -35435664?\nAnswer: -35435654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1958*l**4 + 5152*l**4 - 1244*l**4 + (3*l**3 + l**4 - 3*l**3)*(3 + 2 - 3) to the form j*l**4 + z*l + g*l**3 + p*l**2 + k and give j.\nAnswer: 5868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -17\/2*l**3 - 106*l + 0 - 3\/8*l**5 + 63\/8*l**4 - 18*l**2. Let z(w) = 0. Calculate w.\nAnswer: -2\/5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -c + 12, -31 = 4*c + 5*y - 105. Let j(g) = -23*g**2 - 853*g - 68. Let x be j(-37). Solve -2*d - 4*l + l = c, x = -3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -75281, -4.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Let i be (1\/(-3))\/(2\/(-6)). Suppose 2 = -z - f, -1 = -2*f + 3. What is the biggest value in i, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffbfffbf. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {i: 3, d: 1, b: 3, p: 2, h: 8, t: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 751549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p - 4. Let o(v) = -7*v - 5. Suppose 3*q = w - 6, 0*q = 3*w - 5*q - 18. What is w*s(b) - 5*o(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:45 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7051854 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = -18 + 18 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24700231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155.24 - 2.24. Let m = -153.1 + g. What is the closest to 0.2 in -2\/21, m, -2\/9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u + 4. Suppose u*y = 2*i - 106, 187 = 4*i + y - 45. Suppose -4*l + i = -23. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 126*y + 127.\nAnswer: -(y - 127)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from {c: 3, h: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 886 (b) 1\/5 (c) 2\/1715 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-9926)\/8)\/(-7))\/(2\/136) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 4*q\/3.\nAnswer: -q*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 11111 = 19081 + 63862. List the prime factors of r.\nAnswer: 2, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-5))\/((-5)\/(-75)). What is the highest common divisor of 12 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/120 + 3*a**5\/20 + a**4\/4 - a**3 - 13*a**2 - 12. Let h(t) = -t**3 + 4*t**2 + 4*t - 3. Let k be h(5). Give q(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 20042*o - 1059417. What is j(-53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -16) + 0 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.034 + 4.234. Let y = 3.2 - k. Is y at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 2937809054*k + 2937809047*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28944 - 28944.1. Let p = -23\/144 - 1\/16. What is the nearest to -2\/5 in -0.2, b, p, -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1451.98418 + -1452. What is f rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5846, 2547, -752?\nAnswer: -4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*i**3 + 10*i**2 - 45*i - 10.\nAnswer: 5*(i - 1)*(i + 1)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 156671 rounded to the nearest 1000?\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r + 56 = 59*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -8301905985752.\nAnswer: -8301905985753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - h - 1. Let l(g) = g**2 - 30*g. Calculate -l(b) - 3*m(b).\nAnswer: 2*b**2 + 33*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3 - 6) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806 = -85*u - 2846 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - s + 1. Suppose 3*w - 4 = 2*w. Suppose -i + w - 2 = 0. Let y be (27\/(-2))\/((-6)\/8). Let m(q) = -10*q**2 + 9*q - 9. What is i*m(z) + y*b(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 730 divided by -5.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781547003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 72770 (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 3 = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, k: 13}. Give prob of sequence kjj.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-20880729)\/36. Suppose -685199 = 4*t + 4*w + 1634781, t - 4*w = -o. Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.06 - -1.06. Let l = -69 + 74. Which is the closest to -1? (a) l (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(-21)*6\/(-28). What is the smallest value in t, 1, 4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 8\/(4 - 6) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 2*v**2 + 2*v**2)*(0*v**2 - 2*v**2 + 0*v**2) + (2*v + 0 + 0)*(-1 - v**3 + 1).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -45, -78, -119, -168?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 15 + 77 - 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*b - 99*b + 864. Solve -5 = -p, -5*p = 4*d - p - b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(-203)*(14\/(-12))\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/(d**(-1\/9)\/d*d))**(-18) assuming d is positive.\nAnswer: d**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 + -1491\/4. Suppose 4*y + 6*q - 3*q + 1 = 0, 2*q = 5*y - 16. Calculate the common denominator of i and y\/5 + (-448)\/520.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1928149 and 24\/6207055?\nAnswer: 453115015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -558 + 24109?\nAnswer: 23551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d - 3. Let u(z) = -z**2 - z + 32. Let g = 207 + -213. What is the smallest common multiple of p(2) and u(g)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-112) - (-8)\/(-36)*(-22)\/(-7).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8641517\/154 + 56114. What is the common denominator of (-252)\/(-294) + 1685\/280 and f?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5581274, -22325117, -50231520, -89300483, -139532006?\n\"Answer: -5581280*d**2 - 3*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*1 + 6 - 2. Suppose m*i = -2*i + 16. Suppose -2*g = 3*o + 9, 17 = -2*o + 2*g + 1. Put i, o, 1 in increasing order.\nAnswer: o, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 7) in base 12?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 12*o - 14. Give c(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134648*3.\nAnswer: -403944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*v = 492*v - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4017*u**3 + 10955*u + 1867601.\nAnswer: -12051*u**2 + 10955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 28. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143315 bigger than 3143321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3807*j - 109741 - 100409 = 1040*j - 5639*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 2. Let o(p) = 7*p + 4. Let y(k) = -10*j(k) - 6*o(k). Let t be y(-3). Solve -4 = 3*x - t*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/10 + 1105*q**2 - 9*q\/10 - 9945.\nAnswer: (q - 3)*(q + 3)*(q + 11050)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 550\/693 + (-16)\/28. Which is the smallest value? (a) -14 (b) 2 (c) t (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.1 (c) -8.23 (d) 3\/7 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.2. Suppose 3*k = -19 - 11. Let d be k\/(-6)*(-6)\/(-15). Put d, h, -1\/4 in decreasing order.\nAnswer: d, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1758 divided by -586.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 204767?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1032 - -4.8968. What is the biggest value in 0.045, y, -3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:30 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87004 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172639 = -5*d + 3*y + 117608, d + 5*y = 58083. What is the ten thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*n + 813*n + 4872 = 0 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(6*s + 1 - 1)*(151*s - 117*s - 780*s - 47*s).\nAnswer: 19032*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose -b*k + 2*g = -109, -k - 5 = 2*g - 28. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11441928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (343 - 18\/6). Let b = z + 366. What is the remainder when 88 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36974 divided by 266\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1973 = 33*h - 8323. What is the remainder when h is divided by 86?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1440?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 27*u + 101. Calculate the remainder when f(26) is divided by (-4 + (-154)\/(-6))*3.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(3 - (3 + (-8)\/4)). Solve -s + 3*s = 4*o + 2, -s + 3 = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 22242*l + 123676641.\nAnswer: (l + 11121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6233 divided by 9461.\nAnswer: -6233\/9461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 - 12 = 0, 4*r - 63678 = 5*b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772084969 to the power of 1\/2, to the nearest integer?\nAnswer: 27786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 + -62. Suppose 5*h - 4*h = 2. Suppose h*r = -4*j + 16, 5*r = -5*j - 18 + 63. Calculate the greatest common factor of r and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 15*n - 25. Let c(u) = -11*u - 221. Let k be c(-19). Give y(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2306 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517294872?\nAnswer: 2, 3, 7184651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + l - 3*l**2 + 4*l**2 + 16*l**3. Let s be y(2). Let p be (-48)\/(-10)*s\/39. Solve h - p = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -30, -67, -116?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699925 is divided by 141?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -694 - 8*s**4 + 495 - 24*s**4 wrt s.\nAnswer: -128*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*(3 - 13). Suppose 32 = 5*c - j*n - 118, 5*c = -4*n + 105. Let v be (4 - c\/7) + (-190)\/(-14). What is the highest common factor of v and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 520 = 541. Let x be y\/(-4) - ((-6575)\/(-420) - 15). Which is the biggest value? (a) -1\/8 (b) x (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 5 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 69\/3)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -6680?\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -28. Suppose 0*k = -b*k + 63. Find the second derivative of -18*y**3 - 28*y**3 - 14*y + k*y**3 + 44*y wrt y.\nAnswer: -222*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17516 - n**3 - 20421*n**2 + 20421*n**2 + 3*n**3.\nAnswer: 2*n**3 + 17516","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 166\/1147159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2. Let b be d(1). Let f(r) = r**2 + 6*r + 8. Let i be f(b). Suppose i = -5*g + 3*g + 5*x + 880, 0 = -2*x + 4. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/24 - -8)\/(92\/1840)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 4*p**2 + 7*p - 6. Let v be w(5). Let u be ((-22)\/v)\/(2\/(-8)). Suppose f + 4*l = 3*f - u, 3*f + 2 = -l. Solve 2*t - f = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -111, -100, -93, -90, -91?\n\"Answer: -2*n**2 + 17*n - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*q = -8, 0 = 2*b + q + 3*q - 10. Sort 5, b, -3 in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11115 + 23122?\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(52)\/sqrt(4) + 5.\nAnswer: sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**3\/6 + 11*n**2\/2 + 12*n. Let y be o(7). Suppose y*f - 16 = -4. Solve -2*t + k = 2, -f*t + t + 2*k = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/58290 and 21\/1146370?\nAnswer: 3439110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1 + 4 + 4 - 8*d + 0 - 2. Give q(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 + 50*c**2 + 100)*(-4455 + 39*c + 4455)*(-c + c + c).\nAnswer: 1950*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92\/483*21 - (0 + -8). Solve 0 = 8*k - d*k + 4*p + 8, 0 = p + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -22*(5 + 55\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/41 - -382\/1107. Find the common denominator of -29\/15 and w.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313301.\nAnswer: 313301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*t**3 - 1675*m**3*t**2 + 7*m**2*t**3 - 40*m*t**3 + t**2 wrt t?\nAnswer: -18*m**3 + 42*m**2 - 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (5 + -37 + 29).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 + -1429. Sort p, -0.3, -2 in increasing order.\nAnswer: p, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + h**2 + 10*h - 2. Calculate u(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/2 - t**2\/2 + 4*t - 11. Let a be y(2). Does 12 divide (1 - 4 - a) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-116)\/(-4002)*-23)\/((-8)\/(-201)*3\/(-3))\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {m: 2, a: 2, k: 3, x: 1, y: 1, z: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**3*n**4 + 2292*i**3*n - 738*i**2*n**4 - 3*n**2 wrt n.\nAnswer: -72*i**3*n - 17712*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -261.9, 0.06.\nAnswer: -261.9, -0.1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489519 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14\/3*w**2 - 8 + 50\/3*w = 0. Calculate w.\nAnswer: 4\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -105. What are the prime factors of m?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73713 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -131*1.4\nAnswer: -183.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4433 - -7409. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33 + 33)\/(3*(-12)\/18). Let s = -14 + 21. Let j = -10 - -15. Solve -2*t - s = d, -t - j*d - 16 - 10 = v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -8) + (1 - 5). Solve 3*y - 18 = -x*i, 0*i - 5 = -5*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, t: 2, w: 2}. Give prob of picking 1 p and 1 t.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 15*y**2 + 7. Let m(s) = s**3 - 7*s**2 - 3. Let o(n) = n**3 + 44*n**2 - 96*n - 193. Let w be o(-46). Calculate w*m(u) - 4*x(u).\nAnswer: -u**3 + 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*v - 344*v + 173*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 + 129*j**2 - 1231*j - 421. Give t(-51).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2050 - 2046. What is the lowest common multiple of 52 and v?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -12*u + 37. Suppose -5*v = 5*h - 3*h - 6, v = u*h - 12. Suppose 35 = 3*c + 2*c. Solve h = 5*l - c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1444 = 4*f, 4*v - 8*f + 12*f = 5776. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4618998 and -1.\nAnswer: -4618998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 1 + 1)*(-1 + 3 - 3) - 19*i + 1 - 9 + 7.\nAnswer: -20*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 91, 134?\n\"Answer: 43*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/2, 0.3, 3518, -5, -0.2, 3 in increasing order.\nAnswer: -5, -0.2, 0.3, 3, 11\/2, 3518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = -3*j + 5*r + 4149, 5*r = -3*j + 3932. List the prime factors of j\/6 + 24\/36.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 2363*m**6\/6 + 2*m**3\/3 - 3919*m**2\/2 + 5900. Find the second derivative of f(b) wrt b.\nAnswer: 47260*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((sqrt(5) - sqrt(10)\/sqrt(2))**2 + 4 - (sqrt(5) + 0)*6)*6.\nAnswer: -96 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 - 209 = 20*l - 423 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/76 in -3\/5, -2, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 r when four letters picked without replacement from wpryrrpgrgp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, 20, 3.\nAnswer: -4, -3, -2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 353990 not equal to 358222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 25501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962 = -1811*k + 1578*k + 601 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*r + 100 = -2*z, 2*z - 29 = -5*r. Suppose -z = -4*o + 18. What are the prime factors of o\/((2 + -3)\/(-2))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.12, -65?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 663517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0, 2, -4, -293 in increasing order.\nAnswer: -293, -4, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**2 - 5\/12*b**4 - 3\/20*b**5 - 3*b + 1\/42*b**7 + 1\/30*b**6 - 1\/3*b**3 + 0. Solve n(g) = 0 for g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s + 24. Let c be l(9). Let n = c + -75. Let u be 0 - (n - (-4)\/(-4)). Solve 3*p - 2*y = 6, 4*p - u*p - 4*y + 24 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 5*a + 9. Suppose 3*i - 3*o + 33 = -6*o, -15 = 5*i - 3*o. Let s be x(i). What are the prime factors of (-26)\/(-10) - (-6)\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(7\/((-84)\/9)))\/44.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/11)*j\/(j\/(j\/(j\/((j*j\/(j\/j**(-4\/9)))\/j*j*j*j)*j))))**39 assuming j is positive.\nAnswer: j**(2938\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30\/11, 154, 34?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 4. Let y = -2 + r. Suppose 0*a + 4*a + 2*n - 172 = 0, 5*n - 20 = y. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x + 161*x + 21*x)*(0 + 0 - 1)*(-2*x**2 + 2*x**2 - 1 - 2*x**2).\nAnswer: 314*x**3 + 157*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - z = -2, -6*s + 3*s = 4*z - 22. Is 14 a factor of 37 + -1 + (1 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(833) + 2)**2*1*6.\nAnswer: -25110 - 840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -506*i**3 - 11*i**2 - 14*i + 5. Is o(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + 1\/(-2) + 2825\/226. Solve -5*u = r*v + 1, 20 = 5*u - 0*v - 5*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 13*p + 36*p + 0*p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from bvbvgvvvbgb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1095, -340, -1803, -3300, -4837?\nAnswer: -6420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 19535194.\nAnswer: 117211164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5065 - 319 = -207*z + 192 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - l - 2. Let n be f(4). Let c = n + -53\/5. Suppose -d = -4, -2*d - 6 = 5*y - d. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 833 or 17\/59?\nAnswer: 17\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 1, n: 1}. Give prob of picking 1 u and 2 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:01 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.40272 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 82. Let h(c) = c**2 + 12. Let b be h(0). Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {p: 2, h: 3, o: 2, a: 2, v: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/26 - (550\/520)\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 3*t + 17*t**2 + 5*t. What is the units digit of h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*t)*(11 - 7 + 15).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enn when three letters picked without replacement from hfefhhefnhnhn.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -277575492 divided by 3139\nAnswer: -88428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let l(g) = 21*g**2 + 312*g**2 - 35*g**2 + 5*g**2 - 87*g**2. Determine l(u(w)).\nAnswer: 216*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {d: 5, h: 5, m: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1776256 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 3 + 1*sqrt(108) + sqrt(108) - (sqrt(108) - (-2 + sqrt(108)*2)).\nAnswer: 1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14383 + 14382.93. What is the closest to -1\/4 in 6, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 + 10 = 3*i, -17 = 3*i - 5*z. Solve -3*p = i + 12 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*h - 31*h + 15*h)*(-h + 6*h + 6*h + 3) in the form j*h**2 + k + u*h and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5771904ng to milligrams.\nAnswer: 0.0000005771904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 s when four letters picked without replacement from sisisiiisii.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52736 is divided by 8412?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 2 - 2 - 31 + 31 + 134*c + (0 - 2 + 1)*(2 - 2 - 2*c) to the form o*c + f and give o.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 8*o**2 + 15*o + 14. Determine u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1136*q - 3 + 1135*q - 5. Calculate i(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*j + 11 + 22, -2*j = g - 3. Let u(t) = -t + 12. Let d be u(9). Let p = d + 1. What is the lowest common multiple of g and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 + 6*a - 10. Let o(z) = -19*z + 137. Let u be o(7). Determine r(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -446, -459, -488, -539?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 3132, 10615, 25192, 49227, 85084, 135127, 201720?\nAnswer: 287227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1791746428 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 43*v**2\/2 + 19*v + 1. Find the first derivative of a(m) wrt m.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 253424?\nAnswer: -253430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*w - 14, 23*d - 36 = 19*d + 3*w. What is the highest common divisor of d and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 63 = -a, -73 = -2*v + 3*a. Which is smaller: 28 or v?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2241\/166)\/((-6608)\/(-416) + -16)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33751, 135413, 304861, 542101, 847139?\nAnswer: 1219981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1\/6))\/i**(-2)*(i**(-1))**(-7))\/((i**(-1))**(9\/7)\/(((i\/(i*i**4*i))\/i*i)\/((i*i**6)\/i))) assuming i is positive.\nAnswer: i**(61\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10020 + 302112?\nAnswer: 312132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*z**2 + 53*z**2 - 77*z + 6667*z**3 + 77*z - 27*z**2 + (-3*z**2 + 0*z**2 + 4*z**2)*(5*z - 3*z - z).\nAnswer: 6668*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-1\/3)*(p*p**(-6))\/(p**(-6)\/p*p)*(p*p\/p**8*p*p**(2\/29)*p)**24 assuming p is positive.\nAnswer: p**(-8092\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.379 in -1, 0.2, 8\/3, 0.4, -12\/73?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.1 + -15. Let g = -5.9 - y. Which is the closest to 1? (a) g (b) 0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529*p + 1685 - 98 = 0. Let o = 12 - 17. Let h be 1*2 + 3 + 0. Sort p, h, o in descending order.\nAnswer: h, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*u**4 + 44*u**3 + 24*u**2.\nAnswer: 4*u**2*(u + 3)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - v - 2 = -5*v, 0 = -2*v - 2. Calculate the least common multiple of p and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1, -4\/3, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-1)\/h*h)\/h)\/h)**23\/((h**(-4)*h*h)\/((h*h**1\/h)\/h*h)))**12 assuming h is positive.\nAnswer: h**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13276426 to the power of 1\/2, to the nearest integer?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272518?\nAnswer: 2, 13, 17, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrlrrqu. Give prob of sequence qlr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 + (-52)\/9. Is (-9)\/m*678\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(5 - (-2044)\/(-410)). Are y and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 159*g**2 - 2184*g + 2028 = 0. What is g?\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 285.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -393 or -392?\nAnswer: -393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127580383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-442239)\/14*2\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21460, 20468, 19502, 18568, 17672, 16820, 16018?\nAnswer: 15272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + 20 - (2 - (-9 + 6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 158. Calculate q(25).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7. Let q be b + -2 + 3 - 6. Sort -0.5, q, 2 in ascending order.\nAnswer: q, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*b - 4526 = -308. What is the smallest common multiple of 45 and b?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 4302?\nAnswer: -4298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.7956 + 4.651. Round a to one dp.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/((-1)\/69). Let w = -17 + r. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v**2 - 709*v - 8020. Give b(-12).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - 1. Suppose -2 + 7 = 5*g. Let i(y) = -4*y**2 - 5*y + 7. Calculate g*i(q) + 6*a(q).\nAnswer: 2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10895, -87113, -293989, -696851, -1361027, -2351845, -3734633?\n\"Answer: -10888*q**3 - q**2 + q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -98\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2. Let o(j) = -j**2 - j + 1. Let m(b) = 6*b**2 + 2*b - 2. Let h(c) = m(c) + 2*o(c). Calculate h(n(x)).\nAnswer: 256*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 7*c + 7. Let h be w(-5). Suppose 4*n + 5*l = 31, -5*l = -3*n + 8*n - 35. Suppose 0*s - 4 = n*s. Sort s, h, 0.\nAnswer: h, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03864 - 45934356285?\nAnswer: -45934356285.03864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n. Let a be 4*(n + -2 + 0). Let i = a - -11. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*f*s**3 + 3*b*f - 4*b*s + 3206*b - 57484526*f*s**4 + 2*f*s + f wrt s?\nAnswer: -6*b*f*s - 689814312*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*s + 264 = -21*s. Solve -s*h + 4*h = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2 - 1732272*x - 1732270 = 0.\nAnswer: -866135, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + 41. Suppose 2*z = -10, -5*z + 61 = -4*f - n. Let w = 60 + f. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*v - 604 = -20160 - 18467 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168066693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72035505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, u: 2, h: 1, d: 3, s: 1, y: 1}. What is prob of sequence rd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 56*p**2 - 213*p - 16. Let n be w(-4). Let s = 16 + -12. Suppose 32 = 2*l - 6*l + s*m, 4 = 2*l + 3*m. Put l, n, -3, 3 in descending order.\nAnswer: n, 3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613, 5888, 20477, 49036, 96221, 166688, 265093, 396092?\nAnswer: 564341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 + 275. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2885857047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3326 - -3359.153. What is v rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a kilogram in grams?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 2*t**3 + 3*t**3)*(9 + 1 - 2) + (2 - 1 + 0)*(8*t**3 - 3*t**3 + 5*t**3).\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547282 is divided by 712.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 105 = 2*h, 21 = -2*c - h - 21. Let v = -21 - c. Suppose 4*x + 5*q - 240 = v, 5*q - 69 - 111 = -3*x. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huh when three letters picked without replacement from {u: 4, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/9 and 13\/984093.\nAnswer: 2952279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5\/20)\/((-4)\/32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/3 and -85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i**3 - 33*i + 72. Let p(v) = -v**2 + 2*v + 12. Let b be p(4). Let r(k) = 2*k**3 + 4*k - 9. Let a(c) = b*w(c) + 33*r(c). Differentiate a(h) wrt h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-3\/2)*w)\/w*w*w*w\/(w\/w**13))\/((w**(-31)\/w)\/w)**(-3\/11))**(3\/11) assuming w is positive.\nAnswer: w**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 30 = 3*i, 0 = 5*j - 0*j + 3*i - 52. Solve 2*u - 5*d = 3, 0*u - 3*u + d = -j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2. Let n be (-4)\/(-18) - 64\/(-36). Let g(y) = y**2 - n*y**2 - 3*y + 3*y. What is w(g(p))?\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/30 + (-21708)\/(-40)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - -221. Suppose -2*o + 5*z + p + 370 = 0, 0 = o + z - 213. What is the remainder when o is divided by 56?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 14*d = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/4, -0.9, -5, 38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000197071 rounded to six decimal places?\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131565 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 7*q**6\/6 - 3*q**2\/2 - 12. Find the second derivative of f(d) wrt d.\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33720\/7 + 13319519\/2765. Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:08 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43151954, -86303906, -129455860, -172607816, -215759774, -258911734?\nAnswer: -302063696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-1 + 1 + j)*(55*j - 30*j + 72*j) + (j**2 - 3*j + 3*j)*(5 + 3 + 0).\nAnswer: 202*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2 + 41228*q - 64550224 = 0.\nAnswer: -22076, 1462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 1*sqrt(104))\/sqrt(4))\/(sqrt(32) + sqrt(160)\/sqrt(5)) - (3 + 3 + sqrt(325) + -1).\nAnswer: -19*sqrt(13)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - -5) + (31 - 40) + -9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-982*u**3 + 86*u**3 - 2846*u**3)*(-5 + 3 - 1 + (3 + 2 - 3)*(1 + 5 - 4)) to the form a*u**3 + z*u**2 + v*u + y and give a.\nAnswer: -3742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25431162.648 rounded to the nearest ten thousand?\nAnswer: -25430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*g + 137, -225 = -3*n - 0*g - g. What is the highest common divisor of 304 and n?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/540 - 13*z**4\/54 + 17*z**3\/18 - 2*z**2 - 78*z. Find t such that a(t) = 0.\nAnswer: 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.578932 + 0.60893146. Let r = -0.03 + n. What is r rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*i**2 + 460*i**2 + 2315*i**2.\nAnswer: 2558*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z**2 + z)*(15*z - 7*z**3 - 14*z + z**2 + z**2).\nAnswer: 14*z**5 - 4*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26032249.\nAnswer: 151, 172399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 98*u + 7. Let g be i(-4). Let q = g + 645. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 29, 0 in decreasing order.\nAnswer: 29, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 84 - ((-6)\/4)\/(-14 - 1660\/(-120)). Which is the closest to n? (a) -2\/11 (b) 1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3\/5 + 8*j**2 = 0. Calculate j.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*20\/(-50)*4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.007.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.005 + -0.021. Let t = y + 3.026. Let z = 3.019 - t. What is z rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/3)\/(2\/4). Let o = 0.1 + 0.5. Which is the second biggest value? (a) o (b) 2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 16\/(-4))*25. Does 15 divide (-480)\/v*(-10)\/8*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14123 is divided by 13959.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 2*m**3 + 2*m - 4*m - 2. Let j be -1 + 3\/(-1) - 0. Let d(b) = -2*b**3 - 3*b + 2. Let l be ((-10)\/8)\/(2\/8). What is j*d(x) + l*u(x)?\nAnswer: -2*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 579958808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 4, w: 2, m: 2}. Give prob of picking 1 y and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43934507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 0\/(-1*2). Let c be (-1*3)\/t - -4. Suppose 4*k = -4*b - 8, -c*k = b - 0 - 10. Calculate the smallest common multiple of k and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Suppose q - s = -6*s + 4, 0 = m*s. Let a = q + -3. Put -2, -5, a in descending order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(0 - 1\/(-1)). Suppose -3*i - k = 323 - 312, 5*k + 17 = 4*i. Put -8, -3, i, c in descending order.\nAnswer: c, i, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43374, 86528, 129682, 172836?\n\"Answer: 43154*j + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170031675 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d)**(-4\/21)*d*d**(-5)*d*d**(2\/3) assuming d is positive.\nAnswer: d**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - -100203?\nAnswer: 33323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272.63 - -274.63. Let n be 2\/6 + (-16)\/(-6). Sort -17, n, g in increasing order.\nAnswer: -17, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + aee?\nAnswer: ae6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -31340?\nAnswer: -31342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 < -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-9 - -9) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {e: 2, w: 1, f: 1, t: 1, m: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*i = 7, a = -3*i - i + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**2 - 3500 - 1095 - 69*n**2 + 2639 wrt n.\nAnswer: -142*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4041 - -4047. Let o(z) = -9*z + 3. Determine o(k).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from yyuyyuyuyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*a - 15, -7*p + 3*p = -4*a + 20. Let i(l) be the second derivative of 3*l**3\/2 - l**2\/2 + 88*l. Determine i(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 981, 2011, 3055, 4119, 5209, 6331, 7491?\nAnswer: 8695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u - 24. Suppose 5*t - 260 = -3*f - 230, f - 4*t = -24. Give w(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 23*b**2 - 19*b - 62. Let k be a(22). Let r(d) = -4*d**2 + 0*d - 3*d + 9*d - k*d**2 + 3*d**2 + d**3. What is r(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yggy when four letters picked without replacement from {y: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 41. Let k be 25\/20*(-6)\/c. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (-5 - (-168)\/6) + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*m - 7*m + 52, 2*m - 35 = -f. Suppose 64 + 80 = 3*j. Calculate the remainder when j is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -709232 - 8?\nAnswer: -709240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21224216 + -0.2594655?\nAnswer: 21224215.7405345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:20 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*u + 19. Let r = u + 29. What is the greatest common divisor of r and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/16850 and 46\/135.\nAnswer: 454950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + j - 5. Let v be f(6). Let s be v\/(-1 - (-6)\/4). Let o be -2*(-3)\/(s - -1). Solve -3*b + o*i = 22, 4*i - 24 = -0*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -15. What are the prime factors of c\/(-2) - (-24)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*c - 0*j - 27, 0 = -3*c - 5*j + 30. What is the third smallest value in -3, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2492*j + 14*j**3 + 7479*j - 2493*j - 2494*j.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/120 - i**4\/8 - 927*i**2. Suppose -l = -2*c + 8 + 1, -5*c + 15 = 0. Let z(q) = q**3 - 4*q. Determine l*z(d) + 4*m(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -14.39 (c) 2 (d) 5 (e) -6\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)**(-2))**(-36) assuming b is positive.\nAnswer: b**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349 + 2365 = -2*i + 2*t, i + 2*t = 25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2512 divided by 1256\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19.640369 and 111.2?\nAnswer: 130.840369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259*i**3 - 71*i**2*z**2 + 40*i*z + 7*i + 10*z**2 + 2*z wrt i.\nAnswer: 1554*i - 142*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -471 + 426.8. Let y = m - -39. Let n = y - -5. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -212*c + 78*c - 2*c**2 - 7 + 88*c. Give v(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26537056.\nAnswer: 2, 7, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -526*h**3 - 233*h**2 - 26*h - 13. Let n(t) = -263*t**3 - 117*t**2 - 12*t - 6. Let y(u) = -6*m(u) + 13*n(u). Find the third derivative of y(q) wrt q.\nAnswer: -1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460082 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10050 is divided by 99.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-4 - -4*4\/8). Let r be ((-15)\/q)\/(8\/((-128)\/20)). Suppose -5*t - r*t + 1232 = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u - 10 = 0, -5*r - u + 50 = 0. Let z(k) = 36*k. Let c be z(3). Suppose 0 = -0*x + 4*x - c. What is the highest common divisor of x and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -699, -0.35, -8?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136323420 and 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 0.5, -0.2, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:04 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-5)*(-80)\/56\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tccs when four letters picked without replacement from recrresyrtyerce?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 - 4*k**2 + 9. Suppose -2*y = -4*u - 2, -4*u = -28*y + 29*y - 7. Let i(q) = q**2 - 1. Determine u*j(f) + 4*i(f).\nAnswer: -3*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3700871\/333410 + 2\/33341. Let w(a) = 2*a - 2. Let s be w(-2). Find the common denominator of (-393)\/90 + (-4)\/s and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 - 6*k + 22. Determine t(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let z(l) = -7*l**2 - 5*l + 4. Let o(b) = -11*b + 1 - 6*b**2 + 2 + 16*b - 9*b. Let i(k) = -4*o(k) + 3*z(k). Give i(p(c)).\nAnswer: 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00116078814 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20369874 to the nearest integer?\nAnswer: 4513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6\/187, 2, -10, -3?\nAnswer: 6\/187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (-9 - -3) - -8) + (1 - 12) + -4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15.09115ug?\nAnswer: 15091.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.2 + -3.8. Let s = 48.6 + t. Let r = s + -12. Which is the smallest value? (a) 5 (b) 2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106053686*r**3 + 7*r**2 + 87844 wrt r.\nAnswer: 636322116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5541 + 5535, -3*y = -4*o - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/39 + -194\/195. What is the closest to 3 in -0.5, i, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8 - 0.2. Let r = -11.9 + 11.4. Which is the third smallest value? (a) r (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + 59. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*2*(-86)\/2*215\/430?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 835 + -775. Let v(l) = -l**2 + 63*l - 139. Let y = 274 - 152. What is the remainder when y is divided by v(p)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-6)*l**(-2))\/((l**(2\/5)\/l)\/l)**(-41))**(-4\/25) assuming l is positive.\nAnswer: l**(1432\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 6:20 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k**3 - 5*k**3 + 3*k**3)*(-10*k - k + 2*k).\nAnswer: 18*k**4 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = 1. Let v(n) = -n**3 - 4*n**2 - 3*n. Let w be v(-2). What is the remainder when 26 is divided by 16 + w - 0\/u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1822195 or -1822173?\nAnswer: -1822173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15019 + -2214515.\nAnswer: -2229534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*z - 5*p, -3*z + 2*p = 3*p - 11. Which is the fourth smallest value? (a) -2 (b) -29 (c) z (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 0, 2, 6, 1 in increasing order.\nAnswer: 0, 1, 2, 6, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 753792 divided by -1664.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12243 and 21.\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2*w**2 - 620*w + 1859. Let o be g(3). Let v(f) = 3 + 0 + 0*f - 5*f. Let b(q) = -6*q + 4. Let x(p) = -6*b(p) + 7*v(p). Calculate x(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*k - 4*r - 13 + 14, -2*r = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 484, -7, -2, -4, -1, 0, -53.\nAnswer: -53, -7, -4, -2, -1, 0, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 37. Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**3\/3 - 3*y**2\/2 - 22*y. Let p(x) = -4*x - 5. Calculate -4*p(h) + 7*q(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2398*b - 2260*b + 1062 + 42 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3811 + -3789. What is the least common multiple of 1640 and t?\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*d + 563*d = 4*j - 16, 2*j - 8 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(480\/18)*1172\/97. Let q = -3\/97 - k. Let t = -2 + 6. Is t at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -5, 6, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 161 + 441 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 4, u: 2}. What is prob of picking 2 q and 1 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(5\/105))\/(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3209.016 grams to tonnes.\nAnswer: 0.003209016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 3*a - 6. Let n(x) = -4*x**2 - 2*x + 5. Give -5*l(q) - 6*n(q).\nAnswer: 4*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k - 9 = -33*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644 - 15\/((-5)\/(-1)) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 + 232. Solve y = -0*p + 4*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 4:23 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*u. Suppose -13 - 5 = -u*y. Suppose y*o = o. Which is greater: o or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(238)\/((sqrt(7) - sqrt(49)\/sqrt(7)) + sqrt(7)) + sqrt(102)\/sqrt(3)*-4)\/((-5*-3*sqrt(384))\/sqrt(12)))**2.\nAnswer: 17\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**7\/1260 + w**5\/360 + w**2\/2 - 4*w. Let z(h) be the first derivative of g(h). Determine k, given that z(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g. Let y(j) = 390*j**2 - 91*j. Let a(o) = -13*o**2 + 3*o. Let v(s) = -91*a(s) - 3*y(s). Determine l(v(p)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 4*x + 1. Let t be w(-3). Is 43 + t + -1 - 1\/1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 238*y = -243*y + 103, -2*y = -4*z + 138. Solve -54*k + 50*k + 4*l + z = 0, 2*l + 6 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 301 + -299. Let a(l) = 4*l**3 - 6*l**2 + 3*l + 7. Let j = -24 + 170. What is the remainder when j is divided by a(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - r + 4. Let b be y(0). Let s = b + 0. What is the second derivative of 4*f**4 + 9*f + f**4 - s*f + 0*f**4 wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:49 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 3333 - 3395 = -2334. Is i at most as big as -339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1247\/3, 5, -0.3, -0.6, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16062 - 0.23938. Let r be (182 + -4)*(-1)\/(-498). Let d = r + -2\/83. What is the fourth smallest value in d, u, -2\/9, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - z - 1, -z + 1 = 7*d - 4*d. Let s be 1*6\/(d + 2). What is the first derivative of v**4 - s*v**4 + 7 - 23 - 4*v**4 wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (14 + -68 - -11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = 26. Let t(y) = -y - 6. Let k be t(j). Solve 2*s + k*s = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ououououuuk. Give prob of sequence oko.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 109*a + 2109. Let x be m(-19). Solve -25*d + 12 = -x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 16*h**2 + 3844*h - 30643. Give s(8).\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 1 + 39. Suppose 4*r = p*r - 200. Solve -4*f + 4*m + 0*m = 0, 5*f = -5*m - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 687894?\nAnswer: -687891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + (sqrt(245)*-1 + sqrt(245))*2 + sqrt(245) + sqrt(245) + -4*1*sqrt(245) + -3)*-5)**2.\nAnswer: 980*sqrt(5) + 24549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -55a0?\nAnswer: -5599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47372007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -11. Let p be (-16)\/(-7) + (-6)\/21. Solve -t - 5 = a - 2*t, -p*a = -5*t + d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 13*t + 2. Let n be a(13). Let q be (2 - 0)*(n - 4). Let b(k) = 3*k**2 - 69*k - 79. Let r be b(24). Is q <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/12*-2)\/((-12)\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 24395850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j + 116. Let v be x(-6). Suppose v*p = 49*p - 22. Solve -t = r - 5, 4*t = 7*t + p*r - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43815)\/1150*(-48)\/72.\nAnswer: 127\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or -248?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. Suppose c = v*c - 45. Let x = c + -28. Calculate the greatest common divisor of 136 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 28*p**2 - 16*p + 19. Give i(-13).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 77 = -4*d, -20759*d + 20765*d + 21 = 3*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(300) - (sqrt(300) + (sqrt(300) - -1*sqrt(300)) + -1))*6.\nAnswer: -12 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(-278)\/20*28. Let v = -194 + p. Which is the fourth smallest value? (a) 11 (b) -1\/7 (c) v (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*x = -2 + 17, 3*t - x = 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m - 4. Let f be z(3). Suppose f*h - 17 = 71. Which is the closest to 2\/7? (a) h (b) 2\/15 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 515120071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*d = 7, 0*z + 2*z + 5*d = 13. Let y be (0 - z\/(-7))*1. Which is the third biggest value? (a) 2\/15 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3577.\nAnswer: -5, 1, 3577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-28 + 14 + (23 - 9 - 19)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -226*g - 226. Let i be s(-1). Let m(r) be the third derivative of i*r**3 + 1\/720*r**6 - 1\/180*r**5 + 0 + 0*r + 1\/144*r**4 + 16*r**2. Factor m(j).\nAnswer: j*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342849 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 2, z: 1, d: 1}. Give prob of sequence di.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 7*d**2 - 8*d + 2. Let g be x(8). Suppose g*c - 5 = 11. Suppose 0*p = -3*l - 2*p + c, 26 = 4*l - 5*p. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320898378 divided by -6?\nAnswer: 53483063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2065)\/(-9495) - (-24)\/(-108)). Let w(z) = -z**2 - 7*z - 6. Let o be w(-5). Suppose 4*j - 166 = -d - j, 0 = d - o*j - q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 486409, 3891053, 13132159, 31127959, 60796685, 105056569?\n\"Answer: 486372*d**3 - d**2 + 43*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/37, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5\/4 - 1161*u**4 + 18489*u**3\/4 + 15057*u**2 - 4623*u - 13896 = 0. What is u?\nAnswer: -2, -1, 1, 6, 1544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 > 3222\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -187833 divided by 3683\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684*a + 723*a = 1379*a + 408548. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(153))**2 + 1 + -1*sqrt(153) - ((sqrt(153) - (sqrt(153) + -2)) + -1)*6)*-4.\nAnswer: -608 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879858843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268 + 270. What is the least common multiple of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 470, 667, 866, 1067?\n\"Answer: z**2 + 194*z + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = -l - b, 3*b - 9 = l. Suppose l = -35*a + 25291 - 2611. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c - 75*c + 24*c + 25*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*c + 129, -2*c + 5*k + 47 = -22. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 11*s - 21. Let p be v(6). Suppose 0*z - p = -w - 3*z, -2*w - 3*z + 27 = 0. Suppose 20*n - w*n = 0. Solve -2*q + 4 = 5*m, n = -0*m + m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*l + 410 = -116, 0 = 4*l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 14202124?\nAnswer: 14202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7358691 is divided by 803?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*v - 28, -4*l - 4*v + 22 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13953, -27631, -41311, -54993, -68677?\n\"Answer: -p**2 - 13675*p - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -60b44?\nAnswer: -60b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 30 = 3*l, -2*s + s + 3*l = -10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 98*q**2 + 945*q - 46490. Calculate k(49).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1473 or -0.07?\nAnswer: -1473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87914542?\nAnswer: 2, 61, 720611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496764199 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 11. Let t be v(-5). Let z = -41 - t. Suppose -5*c + z = -10. Solve -2*u - 3 = -c*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207091534 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 8 + (12 - 4) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 366, 381, 372, 333, 258?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (2 + -4)) + 15 + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3608 + 3611. Let x = -2.7 - -3. Let f = 1.3 - x. Which is the third biggest value? (a) h (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330903447.\nAnswer: 3, 7, 43, 59, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/7, 4, 0.5, -1\/2245?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4498 + -4501. Put -2, 235, s in descending order.\nAnswer: 235, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/11, 9, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 + 11 = 0. Let v(m) = 3*m + 1. Let s be v(1). Let r = t - s. Solve -5*a = -r*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88082.21m in micrometers?\nAnswer: 88082210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 88.40563us?\nAnswer: 0.08840563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 4 - 4)*-1. Let a(m) be the third derivative of 22*m**4\/3 + m**3\/6 + 30*m**2 - 6*m. Is a(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243 - 235. Let u(s) = -s**3 - 3*s**2 - 3*s - 3. Let r be u(-2). Is c at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4882 is divided by 444?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 9*c**2 - 6*c.\nAnswer: -3*c*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = w - 3*u + 12, 0 = -2*w - 4*u - 4. Put -5, -3, 4, w in descending order.\nAnswer: 4, -3, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 - 2*q**2 + 3*q - 2*q**2 - q**2 to the form v*q**2 + c + j*q**3 + i*q and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 + 2*k**3 - 4*k**3 + 2*k**3 - 4 + 4 + (-5*k**3 + 0*k**3 + 3*k**3)*(2 - 3 + 3).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 2*r - 4*r)*(2*r + r - r + (-1 - 1 + 4)*(r - 3*r + r) - 3*r + 1 - 1 + (4*r - 4*r + 2*r)*(5 + 0 + 0)) to q*r**2 + a + i*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -3*m + 42. What is the least common multiple of 15 and m?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 575*z**2\/7 + 2542*z\/7 + 1415\/7.\nAnswer: (z - 283)*(z - 5)*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d - 19. Let n be o(4). Suppose -n = -5*p - h + 3*h, p - 7 = h. Let f = 2 + -1.8. Put -3\/4, p, f in descending order.\nAnswer: p, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32114?\nAnswer: 2, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41427653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989, 961, 941, 929?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 + -128. Suppose u*t - 9402 = -3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 8*v + 8 = 2*y, y + 5*v + 10 = 0. Suppose -3*k + 5*o = 9*o + 11, -3*k + o - 1 = y. Is k smaller than 2\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 9) to base 15\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142944 to the power of 1\/2, to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*z**2 + 762*z**2 - 2303*z**2 + 747*z**2.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 577*b - 4488. Let o be v(8). What is the highest common factor of o and 2368?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = -4*x. Suppose 0 = -h - 5*d + 33, -4*h - 50 = x*d - 128. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 + 4*w**4 - 18*w**3 + 20*w**2 - 7*w.\nAnswer: w*(w - 1)**3*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3)*3\/(-2). Let v(c) = 0*c**3 - 3*c - c**3 + 11*c**2 + 3*c + c. Let s be v(11). Solve 4*x + 12 = 0, 5*x + 32 - s = t*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.446 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/(p\/p**(-1\/4)))\/p)))**(-29)*(p*p**0)**50)\/((p*p**0)**44*((p\/(p\/p**(-3\/7)))\/p)\/(p\/((p\/(p\/p**(-2\/3)))\/p)*p)) assuming p is positive.\nAnswer: p**(3977\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-13 - 6 - (7 + -11))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18*i + 4010. Calculate w(61).\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398789, -1595084, -3588883, -6380180, -9968969, -14355244, -19538999, -25520228?\nAnswer: -32298925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794749 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-1 + (-5 + sqrt(363) + sqrt(363) + sqrt(363)*2 - -2*(-2 + sqrt(363))))*1)**2*3 + 3).\nAnswer: -11880*sqrt(3) + 118521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 147, 331, 589, 921, 1327?\n\"Answer: 37*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4403*o. Let a(t) = -1258*t. Give 17*a(p) + 5*m(p).\nAnswer: 629*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 5b9bb3?\nAnswer: -5b9bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2. Let b be m(8). Let w = 351\/5 - 70. What is the third smallest value in b, w, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 392279\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61805 - 41361 = -14*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 + 96*j**4 + 27567*j**3 - 139860*j**2 = 0. Calculate j.\nAnswer: -84, 0, 5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**4 - 96156*y**3 + 371*y**2 - 24*y.\nAnswer: -24*y - 576936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(85)*2*-2)\/((sqrt(5) - -2*sqrt(5))*3) + ((-6*sqrt(272))**2 - sqrt(204)\/sqrt(48))*-6.\nAnswer: -58754 + 23*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -72. Suppose 0 = -4*w - 2*v + t, 5*v + 8 = v. Solve w*x - x = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 20 = 18*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-3 - -1) + 3. Let o be -1 + (1 - 0) - y. Suppose -3*i = o*i. Solve 2*h + 2 = -i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/108)\/((-56)\/(-800))*(-5)\/(-2).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 33 = -5*p. Suppose 4*i = 3*i - 3*r + 13, -p*r = 5*i - 15. Let z(v) = -116*v + 1. Is z(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -48*s**2 - 144*s + 2. Give z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**13*t)\/t*t*t**(-32)\/t)\/(t\/(t\/t**(1\/6)))**(-3\/2) assuming t is positive.\nAnswer: t**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 6}. What is prob of picking 2 y?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 650806883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 (base 8) in base 11?\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -0.1 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 601306 + -3021?\nAnswer: 576265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 118. Let t be (2 + 96\/(-54))\/(a\/(-9)). Suppose t*r = 3*v + 239, 2*r + 2*v - 182 = 42. What is the highest common divisor of r and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438379?\nAnswer: 17, 107, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 12:14 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 2*d - 9. Let z(q) = -358*q**3 + 5*q**2 - 12*q + 358. Let u(k) = -6*t(k) - z(k). Differentiate u(i) wrt i.\nAnswer: 1074*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*c + 120 = 0, k + 6*c - 18 = 8*c. Suppose 2*n - 21 = -2*m - m, -4*m + k = 2*n. Solve -4*j = m*f + 36, -4*f - 5*j + 2*j = 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/15*(-10)\/6. Suppose 4*o = 2*h + l*o + 34, -15 = h - 3*o. Let f = 107\/6 + h. What is the common denominator of f and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185337 or 185243?\nAnswer: 185337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538419.\nAnswer: 3, 7, 25639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) - sqrt(475)*-2))**2 + 2)*3.\nAnswer: 5706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-36))\/((-30)\/(-135)). What is the closest to -2 in 11, 7, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 819, 822, 825, 828, 831?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22461, -22449, -22437?\nAnswer: -22425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + o - 4, -18*b + 17*b = o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a - 89*a + 51*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50487 - -16010. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 60*b + 5. Suppose 9 = 5*f - 1. What is the tens digit of z(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 6, u: 1, t: 1, z: 5}. Give prob of sequence zzk.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqq when three letters picked without replacement from {o: 2, u: 4, d: 2, q: 2, a: 3}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 7*i - 6. Let b be f(5). Let z = 4 + -2. Find the second derivative of -z*n**4 - n + n**4 - n**b wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 1 - 2) + -1. Is (15\/(-6) + g)*-254 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(5))\/sqrt(8)*-3.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162833?\nAnswer: 11, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6 + 13 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 44*u**3 + 104*u**2 - 176*u - 384.\nAnswer: -2*(u - 24)*(u - 2)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:34 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 8*h + 12. Suppose -h*l + 4*l = -5. Let b = -4 + 0. Put b, l, 1 in decreasing order.\nAnswer: 1, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 3\/2*m**3 + 2*m**4 + 0 - m + 0*m**2. What is the second derivative of i(b) wrt b?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (10 + -6 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/7 - 17\/28. Which is the third biggest value? (a) -0.2 (b) -4\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 5*v**2 + 2*v + 12. What are the prime factors of u(-5)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4117386\/11 or 374308?\nAnswer: 4117386\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12087.\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 16 = -3*c, 2*c + 1 = b - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.097 in -3\/7, -1, -0.05331?\nAnswer: -0.05331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:27 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5166723 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - v**2 - 5*v + 5. Let z be l(0). Solve n + 14 = -n + 2*j, j - 15 = z*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -163*k**2 + 8*k - 115. Let q(f) = 8*f**2 + 4*f - 1. Let p(w) = -l(w) + 2*q(w). What is the first derivative of p(u) wrt u?\nAnswer: 358*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -2*w - 2, u + 12 = 4*w. Let d be 3\/12 - (-60)\/16. Let w*n**3 + 2*n**4 - 2*n + d*n**2 - 6*n**2 - 2*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -112\/431, -1\/5, 27\/55?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21 = 39. Suppose 0 = -0*b - b + d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:22 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 56087.09 centuries?\nAnswer: 5608709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 446, 1000, 1768, 2744, 3922, 5296, 6860?\nAnswer: 8608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let y(h) = -h**2 - 1. Let k(d) = 117*d**2 + 3. Let m(o) = 2*k(o) + 6*y(o). Determine a(m(f)).\nAnswer: -456*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 24. What is the derivative of -2 + 7 - 13*v + 1 + w wrt v?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 1\/140*q**5 - 4*q**2 - 43 + 43\/28*q**4 + 1849\/14*q**3 + 0*q. What is m in f(m) = 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*v + 14, 7*r - 5*v = 3*r + 25. Put -5, r, -6 in increasing order.\nAnswer: -6, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-6))\/j*j*j*j*j**0*j)**(-24) assuming j is positive.\nAnswer: j**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 - 3 - (-45 + (-12 - -33)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**3 - 4*y**2 + 4. Let s(h) = -80*h**3 + 35*h**2 - 35. Suppose 5*q = 2*n - 5*n - 169, -n - 173 = 5*q. Determine q*f(l) - 4*s(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x. Suppose -6 + x = r - 5*z, 0 = -5*r + z + 18. Suppose r*f = -f + 55. What is the remainder when 31 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 plus 1101?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -764 divided by 764\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzpzt. What is prob of sequence ztpz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.81 + 4. Let a = 0.29 - t. Round a to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 + p**3 - 2*p - 14 - 7*p**2 - 25 - 8*p**3 - 14 to the form w*p + c*p**2 + k + j*p**3 and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 - f + f**3 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138544853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + b + 3*f + 22, -4*b = 4*f + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**4 + 4 + a**4 + 0*a - 2*a - 3 as i*a**2 + u*a + v*a**3 + t + q*a**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from uuupsxus.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -158*h**2 - 8*h - 14. Let d(z) = 157*z**2 + 6*z + 7. Calculate -3*b(q) - 4*d(q).\nAnswer: -154*q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 - 5)*(-3 - j + 3) - j + j + j)*(4 + 11*j - 1 - 8*j) to r + g*j + v*j**2 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 + 1.1. Let a = c + -6. Let t = 1 + a. Is t > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 10. Suppose 5*i = 5, -v*q - 22 = -4*q + 3*i. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947497235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**4 - s**3 + s**2. Let g(m) = 21*m**4 - 3*m**3 + 3*m**2 - 17. Let x(v) = -3*d(v) + g(v). What is the first derivative of x(w) wrt w?\nAnswer: 96*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -48.009. Let g = s - 0.044. Let u = g + 0.03500028. Round u to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 4*v**2 + 17*v - 16. Let p be j(4). Calculate the highest common divisor of p and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*l - 6360 = -135*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o - 750 = 105*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62566 (base 7) in base 16?\nAnswer: -3c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 16392 (c) -4 (d) 239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z + 8. Let y(v) be the first derivative of 9*v**2\/2 + 7*v - 79. Determine 5*w(s) - 6*y(s).\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 33 = -8*n. Suppose 95 = n*b + i, b - 33 = 2*i - 5*i. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 6*o + 5. Let w be z(6). Let n = w - 26. Solve 0*f + f + q - 4 = 0, 0 = -5*f - 4*q + n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -18. Solve 2*o = -o - s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -33.\nAnswer: 37\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 190404, 190402, 190398, 190392, 190384, 190374?\n\"Answer: -n**2 + n + 190404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1117 + 1117 - 142*k)*(-7*k**3 + 13*k**3 - k**3).\nAnswer: -710*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29 + (6\/(-22) - 4223\/1133). Solve -10*g = -13*g + z + 5, -r = 3*g + 5*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(2299)) + 3 + 2*sqrt(19) + -1.\nAnswer: -53*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 14*a - 11*a. Find the first derivative of -2 + 1 + 5*q**3 + a - 3 wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = d - 10, 0 = 5*p - 4*d - 69 + 10 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 126*v**2 - 826*v - 52029. Calculate r(-63).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 3*g + 0*g - 9288 - 5*g - 3014 to y*g + v and give v.\nAnswer: -12302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 22*w + 24. Let h be f(21). Solve -2*z = h*d - 12, -5*d - 5*z + 23 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.039 - -107.961. Let h = 288 - 287.8. Which is the third biggest value? (a) o (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3388 and 95194?\nAnswer: 14659876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 575 = 7*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.74 + -8.74. Let p = 112.3331979 - 109.3332. Let n = p - x. Round n to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 (base 10) in base 7?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6365*t = -11518*t - 309180 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/5)\/(t*t**0\/t)*(t*t**(-1))**(-35) assuming t is positive.\nAnswer: t**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t + 1)*((2 + 4 - 4)*(0 - 4 + 2) + 3 + 0 - 1 - 2 + 0 + 0).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348911 is divided by 269774?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -2*(-11)\/6*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - ((-130)\/(-45) + (-4)\/(-6)). Let u(y) be the first derivative of 3 - b*y - 4\/45*y**5 + 1\/3*y**6 - y**4 + y**2 + 8\/27*y**3. Solve u(o) = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.3, 7\/2, -50, -6, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1847 divided by 63088\nAnswer: -1847\/63088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03622 from -846611.\nAnswer: -846610.96378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 139, 253, 367, 481?\n\"Answer: 114*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101 + 11000000100010100?\nAnswer: 11000000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190.84 + -184.84. Which is the nearest to 154? (a) 0.1 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-4 - -2)) + (11 - (-9 + 13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-6) - ((-8944)\/258)\/52?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q*v**4 - 4025*q*v - 2*q + v**4 + 11546 wrt v.\nAnswer: -16*q*v**3 - 4025*q + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-821)\/4926*(-12)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 2*r**2 - 19*r + r.\nAnswer: 2*r**2 - 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 1 + 5. Let a(l) = l**2 - 2*l - 3. Let b be a(g). Is 6 a factor of b - -1 - 0 - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -1\/3*d**3 - 11*d + 0*d**2 + 0. Let s(h) be the first derivative of -h**2\/2 + 1. Give s(t(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-726)\/55 + (-2 - 191\/(-5))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:27 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + 192\/504. What is the closest to z in 2\/5, -2\/19, 33, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0348 + -3.3852. Let f = 6.58 - a. What is the biggest value in 13, -2\/5, f?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1081873277 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 55*l**3\/2 - 107*l**2\/2 - 53*l\/2.\nAnswer: -l*(l + 1)**2*(l + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -31. What is the nearest to -8 in -5\/6, -3\/5, s?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -25653?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 5. Let o(b) = 6*b - 16. Suppose 0 = -6*w + w + 80. What is w*r(n) + 5*o(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, -4.6, 5, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029 - 49287025496.\nAnswer: -49287025495.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644 by -14.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + c - c**4 - 115 - c**3 - 2*c + 116 to f + j*c**2 + o*c**4 + g*c**3 + t*c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:47 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 75*k - 69*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - m**3 - m**3 - 2*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 335b9 (base 16) in base 15?\nAnswer: 424e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 = 5*m - 1, 0 = 3*m + z - 8. Suppose m*h - 8*h = -100. What is the remainder when h is divided by 52\/(-6)*(-6)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccog when four letters picked without replacement from {g: 2, o: 1, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 13*c**6\/50 - 18*c**5\/25 + 9*c**4\/20 + c**3\/5 + 7*c. Suppose z(k) = 0. What is k?\nAnswer: -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**7\/105 + 3*u**6\/20 - 31*u**5\/30 - 55*u**4\/4 + 150*u**3 + 80*u**2 + 8*u. Let v(x) = 0. Calculate x.\nAnswer: -10, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/20 + l**4\/3 + l**3\/3 - 94*l. Give f(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.13, -5, -18, -2 in decreasing order.\nAnswer: 0.13, -0.1, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002870474 to 5 decimal places.\nAnswer: 0.00287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2373*f - 1762*f + 45177 - 45179)*(-2*f - 3 + 3).\nAnswer: 8270*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21 (b) 38596 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 + 367*q - 367*q. Let n(k) = -19*k. Give n(o(y)).\nAnswer: -152*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 42. Let v be (-24)\/(-10) - u\/(-40). Which is smaller: v or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 122*w + 183. Let y(l) = 24*l + 35. What is -6*j(h) + 31*y(h)?\nAnswer: 12*h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6127649, 6127651, 6127653, 6127655, 6127657?\nAnswer: 6127659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-19 + 19 - 2*w**4) + 0*w**4 + w**4 - 2*w**4.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.961 + 867.039. Let r = -865 + k. Let u = -17 + 11. What is the nearest to 1\/2 in 0.3, u, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 7*h = 5*m - 60772, -4*h - 5*m + 121574 = 0. What are the prime factors of h?\nAnswer: 7, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -34, -791 in descending order.\nAnswer: -2, -34, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a - 3*a**2 + 9*a + 6*a to w*a + p*a**2 + f and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 2*w + 224. Let g be u(0). Let y = g - 440. Is ((-5)\/3)\/(4\/y) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1059685 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7148, 7131, 7088, 7007, 6876, 6683?\n\"Answer: -2*s**3 - s**2 + 7151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 1 - 1. Let b be ((-6)\/8)\/(c\/(-4)). Suppose 4*g - 8*g + 16 = -2*a, 0 = 3*g + 4*a - 12. Put b, -21, g in increasing order.\nAnswer: -21, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3365272 is divided by 12022.\nAnswer: 11134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 852 and 284.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-4)*(-672)\/3290. Let w = 4471\/188 - d. Calculate the common denominator of w and 67\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -177, -119, 0.1?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6.4. Let y = -12 - -13.8. Let j = -6.8 + y. Which is the closest to w? (a) j (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2816)\/216 - -13)*((-1)\/(-1) + -4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-8)*(-5)\/((-525)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g*(g\/(g**(-1)\/g))\/g*g)**(-41) assuming g is positive.\nAnswer: g**(-287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(6\/7)*m)**12 assuming m is positive.\nAnswer: m**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (60 - (95 - 50)) + -5 + -2 + -3\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 7*f - 27. Let v be w(-13). Suppose -v + 21 = -6*h. Factor -1\/3*p**h + 5\/3*p**4 - 4\/3*p**2 + 0 + 8\/3*p - 2*p**3.\nAnswer: -p*(p - 2)**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12636)\/(-436) + (-388)\/(-21146).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-56 + 50 - 12).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**4\/4 + 12*m**3 - 27*m**2\/2 - 66*m + 4291. Suppose u(o) = 0. What is o?\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*z + 3*j, 2*z + 9 = 5*z - 5*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -2*l - 2, -2*v + 5*l = 7. Let p be 0 - 2 - v - -5. Find the first derivative of -2 + 3*h**2 - h**2 + p wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 15*x**2 + 2*x. Let m(v) = -8*v**3 + 59*v**2 + 9*v. What is -2*m(t) + 9*q(t)?\nAnswer: -2*t**3 + 17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (355\/(-426))\/((-5)\/9). Which is the closest to 0.1? (a) -0.3 (b) o (c) -9\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-122)\/3 - 2\/(-3). Suppose 28*h = 19*h + 90. Let u be x\/100 + 730004\/h. Round u to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/6, 57, 65, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 7:28 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1470)*-2)\/(-3*3*sqrt(6)))**2 + -4.\nAnswer: 413\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 33 = -9*i + 6*i + 2*i, -2*i - 2091*g + 2092*g + 11 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 36eda?\nAnswer: -36ee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 0.01. Let d = k + -0.3. Let s = 3 + -8. Sort d, 5, s.\nAnswer: s, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -641 + 641. Sort j, 15, 2, 1 in increasing order.\nAnswer: j, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4. Let y(s) = -s**2 + 4. Let l(q) = -4*k(q) - 4*y(q). Let p(c) = 2*c - 1. Let x(z) = 15*z - 6. Let h(u) = 6*p(u) - x(u). Give l(h(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y + 137. What is the remainder when g(-10) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 668 divide 725712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -11, -15, -21, -29, -39?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -28. Suppose c = -3*m - 5*f + 3802, -4*f + 3*f + 2523 = 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 12*o**2 - 4*o + 4. Let n be h(11). Let a = 290 - n. Suppose q = 2*t + 67, 2*t = 3*q - 2*t - a. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. Let k be 52 - 0*(0 - l). Suppose -k + 2 = -2*o. Solve 30 = 4*u + f + 8, 3*u - o = -5*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 323*r**4*u - 3*r**2*u - 2*r*u - 8*u - 2 wrt r.\nAnswer: 3876*r**2*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -21*l**2 - 5*l + 245846. Let j(s) = 3*s. What is j(u(n))?\nAnswer: -63*n**2 - 15*n + 737538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81993*l**4*s - l**4 - 12*s + 980 wrt l.\nAnswer: -327972*l**3*s - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + -5 + 2 + (-47 - -70)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*6 + sqrt(8) + 0.\nAnswer: 6 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-432)\/924)\/((-42)\/462). Solve -p + 38\/7*d - 2\/7*d**2 = 0 for d.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109185?\nAnswer: 3, 5, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(1\/(11\/(-22))))\/(-21)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/24 and 149\/846.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z**2 + 2*z - 1. Let b be o(1). Let k be 1\/(1 + b\/15). What is the third derivative of 3*d**2 + 8*d**5 + 0*d**3 - 6*d**k + 0*d**3 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.03 + -62. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7851006 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b6785 - 13?\nAnswer: 3b6772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, r: 2, a: 5}. Give prob of picking 2 w.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -234288 divided by -24\nAnswer: 9762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17)*d)**5\/(d**(-3))**(2\/175) assuming d is positive.\nAnswer: d**(13227\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1507 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 346 + 350 - 19 - 5*o + 121 - 9 to y*o + h and give h.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 287778651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 805837 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155821811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 1)*(-h + 3*h - 3*h)*(7 - 2 + 0)*(-1 + 5 + 1)*(-3 + 5 + 0).\nAnswer: 250*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6764 = 15*o - 6614 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z. Let r(j) be the first derivative of 6*j**3 + 53. What is l(r(h))?\nAnswer: 90*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 3980 = -3670 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - 0.1. Let r = 381 - 1139\/3. What is the smallest value in 3, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4896, 6466, 8040, 9630, 11248, 12906?\nAnswer: 14616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 - 3 = y, 18 = -2*y + 5*k. Let n be (y\/30)\/(9\/(-6)). What is the second smallest value in 0.5, n, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14407*b**3*n - 183*b**3 + 7793058*n wrt b.\nAnswer: 43221*b**2*n - 549*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 1676869546?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1202970 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -54 in descending order.\nAnswer: 2, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 413\/106 + -180\/53. What is the nearest to 8.6 in 0, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11850, -4510, 2830, 10170?\nAnswer: 17510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(3*sqrt(6)))\/(sqrt(9)\/(sqrt(15)\/sqrt(5))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -102743472 divided by 2140489\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4 = -a, 4*s - 7 + 2 = a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310*c - 84*c - 79458 = 0 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(48)*2)\/((-1*sqrt(12))\/sqrt(3) - sqrt(4)*-3*1).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34307, 75174, 116041, 156908, 197775, 238642?\nAnswer: 279509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 3003043432?\nAnswer: 3003043422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 23. Let f be p(6). Let u be (-499)\/1170 + f\/35. Let w = u - -5158\/819. What is the common denominator of -109\/20 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -19. What is the lowest common multiple of 9 and r\/1 + (-5 - -12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9816644005411 - 61\nAnswer: -9816644005472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/44784 and 74\/19701.\nAnswer: 98032176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 46, 69, 90, 109, 126?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 + 98*c**3 - 9*c**3 + 38*c**3.\nAnswer: 117*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + ((-113)\/(-4))\/(-1) and -95\/94?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25980874*g**3 - 12237*g**2 + 2*g - 92 wrt g?\nAnswer: 155885244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 5. Let c be (j - 1) + 2 + 0. Let w be 5 + (-2 - c - -2). Solve 0 = 2*u - w - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - s**2 - 4. Let d be k(3). Is (-7 + 0)*(d + (-6)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16004 or 15989?\nAnswer: 16004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.287580145 rounded to 4 decimal places?\nAnswer: -0.2876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d - 100. Let j(a) = -a**2 + 18*a + 33. Let i be j(17). Calculate the greatest common divisor of i and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 - 2*d + 23. Let n(b) = -2*b**2 - b + 11. Let a be (54\/36)\/(3\/(-26)). Give a*n(z) + 6*k(z).\nAnswer: 2*z**2 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 22*x + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.6 (c) -441\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 13*r - 4. Let w = 45 + r. What is the least common multiple of w and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16 = 3*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1 - 2*p**2 - p**2 - 2*p + 3*p + 4*p**2. Let u = 184 - 182. Let j(c) = c**2 + 3*c. Determine u*d(l) - j(l).\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Let y(o) = 282*o + 648*o + 204*o - 97*o. What is n(y(z))?\nAnswer: 2074*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 0.4. Let m = -1 + 0.7. What is the second smallest value in o, 1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -2. What is the greatest common factor of r and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 263397, 263398, 263399, 263400?\n\"Answer: d + 263396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 + -225. Solve k*h = -4*p - 16, 6*p = 5*p - h - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 13472 - 13474 - 2*s**2 - 5*s**3 + 0*s**3 + 35*s**4 in the form i*s + m*s**4 + h*s**3 + t*s**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -37?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18197, 36427, 54657, 72887?\nAnswer: 91117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 2*k - 6. Let p(g) = -1. Let o(u) = 2*p(u) + q(u). Let s(w) = -1. Calculate -o(n) + 6*s(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assiag. Give prob of sequence as.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18970844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h - 54. What is p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 9*a - 6. Let l be c(-8). Suppose 5*i = 2*i. Find q, given that 3\/4*q**3 - 1\/2*q**l + 0 + i*q - 1\/4*q**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 2\/5, -1.4, -0.2, -0.11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 2.378?\nAnswer: -2.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = 9. What is the greatest common factor of h and 140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 971636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 252, 382, 720, 1368, 2428?\n\"Answer: 17*c**3 + 2*c**2 + 5*c + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 1664 = -4*o - 1662, -4*o + 4 = -4*j - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/4, 819, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -32\/9 + 16\/3*z - 4*z**4 + 56\/9*z**2 - 20\/3*z**3 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173077 + 173007 = -35*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 2*w, 3*k + 2*w = -8. Suppose k = -n - 2 + 4. What is the first derivative of -6*s**3 + 6*s**3 + 7 - 4 + n*s**4 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 97 and -1.4960580206041.\nAnswer: 95.5039419793959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*t + 1944 = -198*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + 3*y)*(35*y + 8*y + 23*y - 2 + 2 - 3*y + (1 + 1 - 1)*(y - y + y))*(-3 - 4 + 0).\nAnswer: -1792*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(3 + -11) - (0 + -1))*0. Solve -27*i + 21*i + 30 = m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Let r(f) = 7*f**3 + 8*f**2 - 8*f + 2. Let d be r(1). Let t(w) = -w + 3. Let q be t(-3). Solve -n = -u*n - q, -n = 3*i - d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.201959*-0.0625\nAnswer: 0.0751224375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7989 - -13377. What are the prime factors of k?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j - 157. Let u = -387 - -356. Let l be g(u). Suppose 11 = -q + 5*z, -4 + 26 = 2*q + z. Solve -l = 5*p - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -26.4 (c) 3 (d) 1\/4 (e) 0.66 (f) 17\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 29 - 39 - 44 + 112. Let l(n) = -514*n. Give l(t(v)).\nAnswer: -1028*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + -1 - (348 - 321)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(10\/(-45))*1805\/361\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-13\/4)*k*k**(-2\/21))\/(k**(1\/6))**(-1\/43))**24)**(10\/11) assuming k is positive.\nAnswer: k**(-169140\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*q - 3*t, 0*t = q + t - 5. Let y(h) be the second derivative of 11501*h**4\/12 - h**3\/3 + h. Let r be y(q). Round r to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32924 - 32858. Calculate the greatest common divisor of c and 2244.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12*1)\/(-111*137\/45621)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -11. Let o(u) = 3*u**2 + 2*u - u**3 - 2 + 0 + 3*u. Give o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4687*l**2 - 476*l wrt l?\nAnswer: -9374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 3 + 0*x - 5\/2*x**2. Let m(n) = n. Give -4*m(q) - v(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15912002 = -3*d - 58796755. Suppose -2*z - 5*q = z + 30008762, q = 5*z + 50014594. Let r = d - z. Round r to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*v + 2. Let m(o) = 11*o**2 + 5*o - 5. Let x(t) = 3*t - 4 - 3 + 6*t**2 + 4. Calculate v*x(y) - 3*m(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -74*m + 1134. Calculate a(16).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 9*o + 8. What is h(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2060.225 * 4\nAnswer: 8240.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432310 (base 5) in base 7?\nAnswer: 250660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - h = -132, -4*u - 219 = h - 744. Let s = 111193 + -111178. Calculate the remainder when u is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from vvvjjjjjjj?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t**2. Let i(z) be the third derivative of z**4\/12 + 25*z**2 - 2. Calculate k(i(o)).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -76*s - 954. Let h be n(-12). Sort 2, h, 1, -3.\nAnswer: h, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppn when four letters picked without replacement from {n: 4, p: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -112222 (base 3) to base 2\nAnswer: -110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9997415 divided by 2971\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 3) + 3 + -2. Let f be 5 + (g - (1 - 0)). Find the second derivative of 2*s**f - 7*s + 3*s + 5*s**3 - 2*s**2 wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-9)*(t\/((t\/((t\/t**(-4\/5))\/t))\/t))\/t)\/(t**3\/(t\/t**(2\/5))) assuming t is positive.\nAnswer: t**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3221 (base 5) to base 6\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277583 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834 = -2*r + 3*t, -t - 214 = -3*r + 1044. Suppose 16*d = 18*d - r. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 214*h + 375*h - 161*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 96 + 9. Suppose 24*c - 180 = 19*c. Let s = c - 15. Calculate the greatest common divisor of s and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 12, -3, -36, -93, -180, -303, -468?\n\"Answer: -m**3 + 4*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 32. Suppose -84*m + 85*m - 5 = z. Solve 2*v + 1 = 5*k + 5, 0 = m*k - 4*v - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245.1 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3297856\/3 + 4\/3*h**2 + 7264\/3*h.\nAnswer: 4*(h + 908)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2957*l + w - 8 = -2954*l - 20, w = l - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -1.8. What is the third smallest value in 0, m, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by 31?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98.63 - -98. Let p = o + 0.6. Let h = p - -0.02999815. Round h to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -20532239?\nAnswer: 1\/1579403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let m be u(-1). Let g be 6\/(2 + 4)*2. Suppose -46 = 2*p + g*t, 36 = -m*p + t + 5. Is p != -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*n - 25. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 5\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - z**2 + 2)*(59*z**3 - 34*z**3 - 28*z**3 + 4).\nAnswer: 3*z**5 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*s + 10. Suppose s*d - 35 = 5*v, -2*d - d = 2*v - 46. Solve 19 = -t - 4*t - p, -3*p - d = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**3 - 1988 + 2*v + 25*v**3 + 1984 wrt v.\nAnswer: 138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*g + 258 = 0, -5*g = w - 0*g - 73. Let o = -536 - -545. Calculate the greatest common factor of w and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103288, 103289, 103290?\nAnswer: 103291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3146750946 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 148*i**2 - 2290*i - 2436.\nAnswer: 2*(i - 14)*(i + 1)*(i + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 3*s**2 - 3*s + 233. Calculate l(0).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c*c**(-2\/15)*c)\/c)\/(c\/c**(-1)))\/((c*c\/c**5*c*c)\/(c\/((c*c**(-3))\/c*c*c*c*c)*c)))\/(c**13\/c**(-9)) assuming c is positive.\nAnswer: c**(-287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 12 - -15134\nAnswer: 15146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1521810 - -1521971.9986. Let r = -162 + t. Round r to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millisecond in microseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**3 + 362*a - 362*a + (-3*a**3 + a**3 + 4*a**3)*(0 + 4 - 1) as z*a**3 + i*a + d*a**2 + u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 1. Let h(q) = -3*q**2 + q + 3. Calculate h(n) + 5*t(n).\nAnswer: -8*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**4 - 754*t**3 - 1108*t**2 + 15789868?\nAnswer: -4*t**3 - 2262*t**2 - 2216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -952*t**2 + 1230*t wrt t.\nAnswer: -1904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -8. Suppose -546 - 87 = -s*a. Suppose -3*h + a = 5*r, -4*h + 3*r + 262 = -0*r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3412801 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + y + 15. Let l(u) = -u. Let z(p) = l(p) - q(p). Let s be z(-3). Suppose s = -f - 7*f + 784. What is the remainder when f is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 1 + 1)*(-74 + 8 - 2*o + 31)*(4 - 3 + 1).\nAnswer: 4*o**2 + 70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/15 - (-2)\/3. Let j(h) = -4*h - o + 16*h + 5 - 3. Let m(l) be the third derivative of l**4\/24 - l**2. Calculate -2*j(w) + 22*m(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 398 + -366. Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 - 75 = 0. Is y\/(-2)*(-49)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.6 + -93. Which is the nearest to 1\/2? (a) -2\/9 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239171, -238820, -238469, -238118?\nAnswer: -237767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1083*d**5*m - 67*d**3*m - 3*d**2*m - 5*d**2 + 5*d*m + 202 wrt d.\nAnswer: 64980*d**2*m - 402*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - 12) + (-1 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 10 = j - 28, -5*o + 5*j = -35. Suppose 0 = -38*u + o + 33. Sort -1, -18, u, 0.\nAnswer: -18, -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28478, 40686, 155968, 317374, 524910?\nAnswer: 778582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -653.3 + 602. Let j = f + 51. What is the smallest value in -0.2, -5, j, 2\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*k - 27, -r - 3*k - 4 = 8. Solve 5*q = 4*y + 9, -31 = -r*q - 5*y + y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p + 26 = -2*n, -16 = 2*n + p. Let a be (n\/6 - 3)*4. Let q = a + 30. Solve 0 = 3*g + u + 8 - 2, q = -g + 3*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 - 6*m + 7. Let k be s(5). Let x be 0 - -1 - (k - 4). Solve -1 + 10*w**5 + 57\/2*w**4 + 5\/2*w**2 - 9\/2*w + 49\/2*w**x = 0 for w.\nAnswer: -1, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 4076\/3, -2\/11 in ascending order.\nAnswer: -2\/11, 4\/5, 4076\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471580 is divided by 5614.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23286 by -6.\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 19*p - 73. Let m be a(-23). Suppose -5 = m*y - 20*y. Suppose 5*s - 30 = -y*c, 2*s + 7*c + 9 = 12*c. Solve 0 = s*o + 2*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 u when four letters picked without replacement from ueeueoeeueeeue.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246896052 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32108 and 4.\nAnswer: 32108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - o + 54, -51*y + 5*o = -56*y + 80. Suppose -y*w - 16*w = -249235. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77360 divided by -15472\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5562 is divided by 408.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 7073, 9, -2, -1 in ascending order.\nAnswer: -3, -2, -1, 3, 9, 7073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/40 + ((-41)\/(-369) - (-4857)\/270).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 12*r**3 + 18*r**2 - 8*r.\nAnswer: 2*r*(r - 4)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -40. Let a(b) = -b**3 + 6*b**2 + 3*b + 6. Suppose -11 + 1 = -2*l. What is the remainder when a(l) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j - 17 = 5*z - 88*j, -16 = 4*z + 4*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43842, 9, -4 in decreasing order.\nAnswer: 9, -4, -43842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59.2 - -15.4. Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 33 = -7*r. Let m(k) be the first derivative of r*k + 2 - 1\/2*k**2. Give m(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4770\/(-5724)*(18\/20)\/((-1)\/(-2))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:42 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 10*k**2 - 7*k - 19. Let p(v) = -v**3 + 5*v**2 - 4*v - 10. Let t(f) = 6*g(f) - 11*p(f). Let l = -187 - -192. Determine t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -9788, -0.061?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0 + 3*m + 8*m**2 + 7\/2*m**3. Let c(k) = 4*k + 3. Suppose -62*z = -55*z + 14. Calculate z*h(a) + 11*c(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.646 + -3.946. Which is smaller: n or -1\/688?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001001101001101 (base 2) to base 4\nAnswer: -21031031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115598405.\nAnswer: 5, 13, 43, 59, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2080158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/15 + -1)*(-24 + 15988\/672). Factor -3*g - 15\/2 + a*g**2.\nAnswer: 3*(g - 10)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - -11. Is l at most 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5968214\/537 - 11114. Sort t, -0.3, 1\/3 in decreasing order.\nAnswer: 1\/3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 2*y**2 + 7*y + 5 + y**4 + 3*y**2 - 8*y + y**3 in the form x*y**4 + q + u*y**3 + m*y + v*y**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 56.6.\nAnswer: -5.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-100)*-5*8\/(-16)*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51475.\nAnswer: 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2048870, -2048872, -2048874, -2048876, -2048878, -2048880?\n\"Answer: -2*u - 2048868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(1053))**2 + sqrt(1053) - sqrt(1053) - (2*(-2 + sqrt(1573) - sqrt(1573)) + sqrt(1573)).\nAnswer: -11*sqrt(13) + 28435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15*(338\/39)\/(-13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 687639033 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10288809*h*i**4*s - 7*h*i**2*s + 16*h*i**2 + 20315*h*i + 2*i**4*s - 5*i**2*s wrt i?\nAnswer: 246931416*h*i*s + 48*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/4 - (-18)\/72\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585.4*-1.8.\nAnswer: -1053.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -68.143. Let a = 0.057 - n. What is the third smallest value in 3, 33, a?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 170*p**3 + 7*p**2 + 5*p - 5. Let n(v) = -256*v**3 - 11*v**2 - 8*v + 8. Give 8*i(a) + 5*n(a).\nAnswer: 80*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 3606185a?\nAnswer: 36061859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + z = -24*h + 2441, 1467 = 3*h + z. Is h not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90647994?\nAnswer: 2, 3, 2083, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1171231671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*w**2 - 3 + 0*w**2 + 3 - 2*w**2.\nAnswer: -74*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*o - 28, -o - 14 = g - 22. Which is the nearest to -0.02? (a) -3 (b) 8\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.9935 to 1 decimal place.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14466, 14467, 14468, 14469?\n\"Answer: h + 14465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r - 59*r = -1170. Let v = r - 247. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(21\/4)*t\/(((t**2*t)\/t)\/t)*t**(6\/7) assuming t is positive.\nAnswer: t**(-135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = -2. Suppose 0 = l + n + 1. Is 23 a factor of (-4)\/((-20)\/355) + l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.02 to one dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 60*w**2 + 133*w + 118. Determine s(-4).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -3*j**2\/2 + 48*j + 36. Let g be k(15). Factor 0 + 2\/9*u - 2\/9*u**g + 0*u**2.\nAnswer: -2*u*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let s(c) = c**3 - 18*c**2 + 37*c - 60. Let r be s(16). Let n be (-50)\/p - (r + -16). Calculate the greatest common divisor of n and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/1365)\/(8\/(-6)*(400\/(-32) - -12)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n**3 + 23*n**2 + 12*n - 26. Let a(q) = q**3 + q**2 - 2. Let d(u) = -26*a(u) + 2*f(u). Factor d(t).\nAnswer: 4*t*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -395*-93\nAnswer: 36735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15191 + 27588. Suppose -f = 5*y + u, y = 4*f - 213 - 2279. What is y rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-1)\/(-4 - -3)). What is the common denominator of (-11)\/33 + (-121)\/(-12) and 81\/(-14) - 3 - j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 + 5*w**2 + 3*w. Let q(s) = 9*s**3 - 10*s**2 - 7*s. Suppose -9*c + 8*c - 3*b + 13 = 0, -2*b - 10 = -2*c. Determine c*g(n) + 3*q(n).\nAnswer: -n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.043 - 40.043. Let x = n + 40.5. Let b = 4.89 - -0.11. Put x, -5, b in decreasing order.\nAnswer: b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -273057.\nAnswer: -4\/273057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.043 + 3.043. Let j = a + -7.2. Let s = -6.2 - j. Sort -2\/9, 9, s.\nAnswer: s, -2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238218863.\nAnswer: 3, 7, 58962803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/((12\/(-27))\/(((-20)\/(-18))\/(-5))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 306 (base 9) to base 15\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 47379 - 12115. Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001151309 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13536, -13546, -13556, -13566, -13576, -13586?\nAnswer: -13596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 7. What is the remainder when 40 is divided by h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 89790*i - 538749.\nAnswer: (i - 359166)*(i + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p. Suppose p = -2*y + 19 + 1. Suppose 2*n = -3*f + 50, 3*n - 82 = -5*f - n. Calculate the remainder when f is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35520411 is divided by 4440049?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.254 + 0.048. Let q = -13.68 + 13.674. Let u = r - q. Which is the fourth biggest value? (a) -4 (b) -5 (c) u (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhhddddppp. What is prob of picking 1 h, 1 p, and 1 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -3716, -8413, -15034, -23603, -34144, -46681, -61238?\nAnswer: -77839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*h - 2)*(0 - h + 0)*(-1 - 1 + 3)*(86 - 143 + 88).\nAnswer: 62*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5458 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/632 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syca when four letters picked without replacement from acyysccyoa.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*d + 576*d + 547*d - 1637*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - u - 665, 0 = -2*w - 5*u + 1615 - 264. Suppose 4*x = -5*d + 911, 4*d - 464 - w = -5*x. What is the remainder when x is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2005\/7 - 286. Let a = 1.78 - 1.88. Sort f, a, -10 in decreasing order.\nAnswer: f, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 9:21 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcn when three letters picked without replacement from {w: 2, n: 3, c: 4, z: 4, e: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 2*b**2 - 7*b - 5. Suppose 5*t = 7*t + 8. Let s be g(t). Let o(x) = x**2 + 5*x + 13. Is o(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 + 109. Let d = y - -196. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 9 - 3. Suppose -w*l = -l - 8. Solve -l*g + 3*n - 2 = -18, 0 = -4*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 220948 = q - 220396. Which is smaller: 84 or q?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u + 3 = -35*u - 5*z, 4*z + 5 = 9*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*w - 4 + 3)*(2*w - 2 - 1 - 2) + 3*w**2 - w**2 + w**2 as c*w + f*w**2 + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from vvdddddddddddddddv?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 50 = 2*k. Let m be (-23)\/(-5) + (-10)\/k. Suppose 0 = -3*z + m*s + 5, 5*s = -z - 0*z - 5. Solve -2*c + 6 + 2 = z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106815175 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:03 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.246 + 0.054. What is the second biggest value in 1, -5\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 172, -231, -1172, -2651, -4668?\n\"Answer: -269*z**2 + 404*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1166380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 10 = 22 + 16. Which is the nearest to 0.1? (a) 2\/91 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a**2*u + 6140930*a**2 + 109083*u**3 with respect to u.\nAnswer: 9*a**2 + 327249*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 257707424 and 0.912.\nAnswer: 257707424.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 5. Let s be d(0). Suppose a + a + s*x - 25 = 0, 5*a + 5 = x. Solve 0 = 5*z + 3*w + 2*w, -4*w = a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942.37 - 1.\nAnswer: -943.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 2843065*r**2 - 11372320*r - 11372340.\nAnswer: 5*(r - 568617)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 9*t + 5. Let y be m(-4). What is the tens digit of y\/(3\/(-2) + 1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-39)*9\/45*-87?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Round -70.032347 to 0 decimal places.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 1. Let b(i) = 13*i + 3. Let x(t) = -8*t - 2. Let v(f) = -5*b(f) - 8*x(f). Determine 3*d(w) + 4*v(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 61*n**5\/5 + 567*n**3\/2 - 641*n**2. Differentiate g(i) wrt i.\nAnswer: 1464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2*17443 - 93\/93. Let g = -17827 - v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29512)\/31 - (2 - (1 - -5)). Let m = z + 3557. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1703 is divided by 1665.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2797633463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**3 + 0*b**3 - 2*b**3 + (-3*b + 7*b - 3*b)*(b**2 + 2*b**2 - b**2) - b**3 + 3*b**3 - 3*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36792 is divided by 1271.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 59. Let k be j(-20). Which is the nearest to -4? (a) k (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 29877?\nAnswer: 149385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*x**4 + 11 wrt x?\nAnswer: 188*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26802 and 133542.\nAnswer: 198844038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010110 + -1111000?\nAnswer: 1101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 11 = 4*k - 33, 3*k - 59 = 5*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 2*x - 2*x + (1 + x - 1)*(2 - 2 + 2*x**2) - 228 + 228 - 17*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1541, 0, 5, -2\/3, 0.3 in increasing order.\nAnswer: -2\/3, -0.1541, 0, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -1\/2*m**2 - 1\/2*m**3 - 1\/12*m**4 + 3*m + 0. Give t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 14)*(36 - 0). What is the common denominator of (-2)\/(-9) + (-2116)\/u and -119\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/((t*(((t\/t**(-3\/7)*t)\/t*t)\/t)\/t)\/t*t))*t**(-2\/11)*((((t*t**18*t)\/t*t)\/t)\/t)**(2\/47) assuming t is positive.\nAnswer: t**(7284\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -278*u - 554. Let p be d(-2). Solve 2*f + 13 = -3*o, p*f + 33 = -2*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d**2 - 8. Let f be 5 + 2 - 2\/(-2). Let k(i) = -9*i**2 + 5. Let v(a) = f*k(a) + 5*q(a). Factor v(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 + 0.31. Let k = -0.04 + b. Which is greater: k or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(5)*2)\/(-5*sqrt(20)\/sqrt(5) + sqrt(4)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19836 by 87.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**3\/3 - 19*l**2\/2 + 44*l + 42. Calculate the smallest common multiple of a(-21) and (3\/(-2))\/((-3)\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*s, 0*f - 3*s = f + 6. Suppose -98 = -f*d + 7. Let m be d\/10 + (-1)\/4*-2. Sort -5, 5, m.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2127 - -2063. Does 68 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -136, 3 in ascending order.\nAnswer: -136, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -4*s**5\/5 + 2*s**4 - 4*s**3\/3 - 2. Let l(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3 - 2 + 6. Let a(g) = g**3 - 7. Let k(y) = -a(y) - 5*j(y). Differentiate k(m) with respect to m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (13 + (-11 - -11)) - (5 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -3\/10*w**5 - 144\/11*w**3 + 14 + 1\/165*w**6 + 6*w - 5184\/11*w**2 + 54\/11*w**4. Find x such that q(x) = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 4*u - 6. Does 4 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojvoooovovv. Give prob of picking 3 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**4 - 147*y**2 - 7*y - 117*y**2 - 18*y - 45*y**3 - 38*y + 21*y**4.\nAnswer: 3*y*(y - 7)*(y + 3)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from kwkalkkyoayalw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1474175 * -18\nAnswer: -26535150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - y**2 + (y + 0*y - 2*y)*(-3*y + 3*y - 2*y) + 14*y - 10*y + 378*y**2 - 4*y.\nAnswer: 379*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96, 186, 276, 366, 456?\n\"Answer: 90*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 11*z + 9. Calculate the remainder when l(-8) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 743.87?\nAnswer: 669.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1333*v - 21305. Determine z(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/21 + (-246)\/(-1148) - 6645\/(-2). What is the greatest common divisor of t and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46938 or -46939?\nAnswer: -46938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47365 - 3477*w**2 - 31474 - 22939 wrt w.\nAnswer: -6954*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/21 - (-300)\/(-28). Let l be (-2 + -1)*22\/6. Let c = l - f. Solve -4*g - 5*n - 4 = 0, 3*g - 20 = -c*g + 2*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7430*h + 56. Let i(a) = -1047625*a - 7888. Determine 7*i(r) + 986*n(r).\nAnswer: -7395*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - -0.53. Let i = -3 - -1. Which is the second biggest value? (a) 1\/7 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 438\/4*(-42)\/(-9). Let m = -302 + t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 4*n + 18, -82 = -3*s - 5*n. Let f(y) = y - 13. What is the least common multiple of 22 and f(s)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 + 27*v**4 + 63*v**3 + 57*v**2 + 18*v = 0. What is v?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j + 49*j - 6*j)*(2*j + j - 4*j) + (42*j - 42*j - 5*j**2)*(3 + 0 + 1).\nAnswer: -47*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2262972 to the nearest one thousand.\nAnswer: -2263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14665.383041 + 14665.3. What is t rounded to three dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 160 = -3*a. Let v be 3 - (-4)\/(-8)*-4. Suppose f + a = v*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s + 2 + 0 - 4*s**3 - 126*s - 131*s - 34*s.\nAnswer: -4*s**3 - 259*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by (-3)\/21 + 912\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k*k**(3\/5))*k))\/k**(2\/37) assuming k is positive.\nAnswer: k**(101\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30151 and 275.\nAnswer: -29876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 15*k**2 + 9*k + 252. Let h be w(16). Calculate the greatest common divisor of h and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -169 (b) 2 (c) 108 (d) 1 (e) 88\/9 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 103 - 435 = r, -5*m = -3*r - 831. Let y = 247 - m. Let k = y + -81. What is the highest common divisor of 11 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = 4*r. Let n(u) = u**3 + 4*u**2 - u - 4. Let p be n(r). What is the units digit of p\/((-3)\/4*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14344 = -2*t - 4*h, -t = h + 5413 + 1761. Let j = t - 3824. Round j to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 2*c - 7*c**2 + 17*c**2 + 9*c**2.\nAnswer: 19*c**2 + 2*c + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 4*p**2 + 7*p - 2. Let c be i(3). Let v be c - ((2 - 3) + 0). Factor -4*y**3 + 8*y + 8 + v*y**4 + 9*y**2 - 9*y**4 - 15*y**2.\nAnswer: 2*(y - 2)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12921 * 4.\nAnswer: 51684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i + 48 = 3*g + 67*i, -28 = -7*i. Let o(z) = z**3 - 3*z + 3. Suppose -4*f = f - 10. Let v be o(f). Solve 0 = v*b + g - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/120 + y**5\/60 - y**4\/24 + 7*y**3\/2 - 8*y**2. Is z(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.169 + 36.859. Let h = a + 82.54. Let u = h + -120. Round u to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15074413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407038209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -752 + 747. What is the nearest to 0 in -1\/3, 4\/9, c, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = 12. What is the closest to -2\/5 in -5, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 528*x**2 + 3*x + 3. Does 24 divide k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.85184 from 0.9634.\nAnswer: 0.11156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2186*n**3 - 4474*n**3 - 4861*n**2 + 4861*n**2.\nAnswer: -2288*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 14*m - 4. Let u be r(6). Let t(b) = b**3 + 14*b**2 - 33*b - 11. Let n be t(u). Solve n*w + 13 - 33 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 9*n**2 + 12. Let u = 24 - -23. Suppose 2 = 5*t + u. Give a(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 80*m**2 - 4*m - 4. Let k(b) = -80*b**2 + 5*b + 5. Give 4*k(c) + 5*q(c).\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1386, -3299, -5516, -8031, -10838, -13931, -17304, -20951?\nAnswer: -24866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*s - 109*s - 39 = 0. Find the second derivative of 49*f - 18*f**s - 112*f**3 + f**3 - 19*f + 17*f wrt f.\nAnswer: -774*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/75 and 78683\/7820 + 1\/(-4) + -10.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -326 - -328. Suppose -f*g = 6*g - 2200. What is the greatest common divisor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1186304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q**3 - 20*q**3 - 21*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 11*p - 2. Let n be j(2). Let q be -1*5 + 0 + (-4 - -13). Solve -8*a + q*a = n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 - (-693)\/105. Solve g*q - 2 = 6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(20)\/(1*sqrt(2))) - (sqrt(15)\/sqrt(5) + 3 + -3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-4 + 6) - -3781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -55. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101\/(-404)*((-128)\/(-6))\/2\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/3)\/2)\/(560\/(-120)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 22*y - 48. Let j be g(24). Let n be (-25 - -20)*(-1 - j). Suppose -5*b + 5185 = 5*s, -4*b - n*s + 4152 = -3*s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -v - 3*u, 3*v = -44*u + 46*u - 91. Let h(l) = l**3 + 34*l**2 + 32*l - 13. Calculate h(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1202852192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4 - 56*l**3 + 236*l**2 - 376*l + 192 = 0.\nAnswer: 1, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*l - 1167*l - 458*l.\nAnswer: -2162*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 17*a - 200. Suppose 0 = -a*j + 124 - 104. Calculate the smallest common multiple of 86 and j.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 756 - 273052?\nAnswer: -272074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 - 35 - 51)*(-2*n**3 + 4*n**3 + 0*n**3) as t*n + w*n**2 + p + h*n**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -154, -495, -1160, -2257, -3894, -6179?\n\"Answer: -18*y**3 + y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27943026 and 80.\nAnswer: 1117721040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(1 - (6 + (-14)\/(-8)*-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57260574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(3) + sqrt(108)) + 4.\nAnswer: -14*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*b + 5 + 2*b - 2*b + b + (-1 + 1 - 1)*(-1 + 1 + 2*b) - 3*b + 3*b + 2*b)*(153 - 2958 - 2421).\nAnswer: 10452*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 0. Let t(o) = o**2 + 6*o + 9. Calculate the remainder when 74 is divided by t(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 + -3.6. Suppose 2*n + 35 = -5*n. Put 3\/2, n, g, -0.5 in decreasing order.\nAnswer: 3\/2, g, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*o**2)*(2 - 1 - 2)*(0*o**3 - 8*o**3 - 9*o**3).\nAnswer: -51*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 + (2 - 0) - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58099542 divided by 4\nAnswer: 29049771\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 17*o**2 + 15*o - 10. Let u(r) = 2*r**3 + 3*r**2 + 6*r - 1. Let y(n) = a(n) - 3*u(n). Let x(h) = h**3 - h**2 + 1. What is -6*x(c) - y(c)?\nAnswer: -c**3 - 2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (53*-4)\/(14\/(-35)) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-7 - -7) + 2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2\/11, 0.4, -0.1123?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 11:56 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 + 6.1. What is the nearest to -1.7 in -2\/5, -5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**0*h)\/h)\/h)\/h*h*h**(-3\/7)*(h**(-2\/3)*h)**41 assuming h is positive.\nAnswer: h**(278\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 624\/4*(-451)\/1804\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -0.4, -67, -38\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102541303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 219664, 878655, 1976978, 3514633, 5491620?\n\"Answer: 219666*f**2 - 7*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*m + 395*m + 708*m + 738*m as f + n*m and give n.\nAnswer: 1784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -25. Let v = d + 28. What is the nearest to 1 in v, -1\/4, -2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 211, 169, 89, -41, -233, -499, -851?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 + (-6 - -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t. Let u(l) = -537*l. What is s(u(y))?\nAnswer: -5370*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5 - 459*b**4 - 4768*b**3 + 71280*b**2 - 179200*b = 0.\nAnswer: -448, -20, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (12\/3)\/(-2). Suppose t = 13*q - 9*q - 40. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose -r = -v*r + 3. Let c = 5 - -4. What is the greatest common factor of c and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -3, -1, 330\/763, 3 in decreasing order.\nAnswer: 3, 330\/763, -1, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 78, 162, 276, 432, 642, 918?\n\"Answer: 2*j**3 + 3*j**2 + 61*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20*((-21)\/(-84))\/(5\/10)*1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from {y: 3, a: 5, r: 3, k: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 18*y + 71. Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23 - 298*r + 2*r**2 + r**5 - 298*r - 3*r**4 + 596*r wrt r.\nAnswer: 60*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/(16\/(-2 + 50)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1415 divided by -79807.\nAnswer: -1415\/79807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = 4. Let z be 22\/4 - k\/(-8). Suppose 0 = -0*o + 3*o - z. Solve -o*v = -2 - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000092269 rounded to 6 decimal places?\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39432 and 272420?\nAnswer: 50670120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3417*k + 61. Let f(l) = 10253*l - 195. Calculate -5*f(q) - 16*x(q).\nAnswer: 3407*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-5)\/(-100)*85)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47242250 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-27) - 222952\/(-479880) - (-8)\/172. Let j be ((-3)\/(-4))\/((-1)\/(-4)). Suppose -j*a = -5*b + 17, 2*b - 2 = a + 5. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 1 - (0 + 15 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**3 - 10*g**2 + 63*g - 253. Calculate the remainder when j(5) is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q + 7, 2*q + 159 = 5*p. Suppose 6*n - 264 - 408 = 0. What is the remainder when n is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 4*i - 2. Let t be f(4). What is the units digit of t - -6 - (-55)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 + 4 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:10 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5179694.\nAnswer: 2, 13, 41, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -240407.87 rounded to the nearest ten?\nAnswer: -240410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15372961?\nAnswer: 761, 20201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4126781179?\nAnswer: 277, 569, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 130*w - 3. Let m(b) = b + 1. Let x(u) = -l(u) - 3*m(u). Let c be x(-1). Suppose 10*i - c = 9*i. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111523818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/60 + j**4\/24 + 11*j**3\/3 - 6*j**2. Let u be d(0). Suppose -u - 155 = -3*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -943913 or -0.31?\nAnswer: -943913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.228 - -0.018. What is the second smallest value in -1, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3064 - -3063.98107. What is i rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 768 divided by 192\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + (510\/(-20) - -9). Let t(h) be the first derivative of 3 + n*h**2 - 14*h. What is the first derivative of t(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -41 + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h + 3*h**2 + 5*h - 4*h**2. Let w be (-11 - 0) + 13 + 4\/2. What is i(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -0.10189.\nAnswer: 7.10189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 + 259*p - 12*p**3 - 778*p + 260*p + 259*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26671.1373527 + 0.3\nAnswer: -26670.8373527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -295 - -1393. Is c < 1099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 112, 380, 900, 1756, 3032, 4812?\n\"Answer: 14*g**3 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by (-8800)\/(-792) - ((-17)\/9 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 - 1578\/(-18). Suppose o + c = h, 2*c - 6*c - 168 = -2*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:43 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 0*d + 0*d + (-3 + 2 + 0)*(3 + d - 3) + (-685 + 693 - 292*d + 258*d)*(3 + 10 - 6) in the form q*d + s and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1377) - (sqrt(1377) + 0))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 97 + 122*d**3 + 128*d**3 - 253*d**3 in the form r*d**3 + x + w*d**2 + i*d and give x.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/(-21) + (-2)\/(-3). Let k(v) = v**3 + v**2 + 2*v + 2. Let j be k(-1). Which is bigger: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 6*d - d - 6*d + 2*d + 3*d - 3*d - d + 6*d + (-3 - 1 + 5)*(-d + 2*d + 0*d) - d - 2*d - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 45, 115, 235, 417, 673?\n\"Answer: 2*f**3 + 7*f**2 - 3*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 + (14 - 1) + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 15*z**2 - 39*z - 82. Let y be q(-17). Solve -3*k = 3*s + y, -5*k = 4*s + 8 - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/468?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 + 28*s**4 - 5*s**2 + 7*s**4 + 106*s**4 - 31*s**4 - 13*s**4 + (-4*s**2 + s**2 + 5*s**2)*(2 - 2 + s**2).\nAnswer: 99*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -271. Let z be 3 + 1\/(-4 - l). Suppose 3*s + 27 = 4*k, 0*s + 4*s + 20 = 0. Solve z = g - k*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by 20.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1.2. Let q = -2 - w. Put q, -2, -1\/8 in descending order.\nAnswer: -1\/8, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47221492039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - 282*j**2 - 285*j + 32. Determine v(95).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5690 + -4426. Does 158 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614 + ((-10)\/(-15)*-6 - -3).\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 1724*v**5\/5 + 8*v**4\/5 - 144816*v**3\/5 - 276512*v**2\/5 - 256*v = 0.\nAnswer: -8, -2, -2\/431, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 2, d: 1, e: 3, m: 1, u: 2}. What is prob of picking 1 u and 2 g?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d**2 + d - 2. Calculate the remainder when 70 is divided by t(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 5*z**2 - 8*z - 5. Let l = 10 + -16. Calculate b(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 572. Does 11 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6623.941 litres in millilitres?\nAnswer: 6623941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 415 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 = 8*s + 2*f, -2*s + 5*f - 5 = 0. Suppose 2*i = -s*i + i. Solve -3 = 3*k - r - i, 3*r = 3*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 10*a - 10. Let s(j) = -3*j**2 - 29*j - 29. Let v(r) = -17*o(r) + 6*s(r). Let w(p) = -p**2 + 3*p + 23. Let l be w(-4). Calculate v(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/36 and 47\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 147886*y**2 - 26407512*y.\nAnswer: -2*y*(y + 179)*(y + 73764)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + m + 13, -3*m = 5*h - h. Let d(p) = -6*p - 1. Let g be d(h). Let r = g - -38. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251752351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 10. Let n(i) = -i**3 + 4*i**2 - 3*i - 2. Let m be n(6). What is the units digit of (m\/(-8))\/(x\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 s when three letters picked without replacement from zbesa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -2. Let s be 8\/32 + (-57)\/l. Solve 0 = s*u + 2*q + 13, -2*q - 8 = 4*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13047.50088 - 13047. Let k = -0.5 + s. What is k rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5801.193 and -0.12.\nAnswer: 5801.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 54. Let z = o + 29. Suppose 0 = b + n + z - 4, 10 = -5*n. Solve -3*m - m = -b*s + 11, -2*s - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8740.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185*k - 7149*k + 497 - 247 - 250.\nAnswer: -5964*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(425) - (sqrt(425) + (sqrt(425) + (sqrt(425) + (0 + sqrt(425))*-3 - sqrt(425) - sqrt(425)))**2)) + (-4*(1 + sqrt(425)))**2 + -4 + -3)*-6.\nAnswer: -35808 - 1920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 224298039713.8 + 0.3.\nAnswer: 224298039714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + n = -9, -2 = -4*v + n + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 3. Let l be z(-3). Suppose -5*b + 2*h = 0, -23 = b + 4*h - 9*h. Is b != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3068274 millennia to decades.\nAnswer: 30.68274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - u + 4. Let v be q(0). Let y be (-399)\/(-18) - (-1)\/(-6). Suppose v*c - 30 = y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16181 + 16850986450.\nAnswer: 16851002631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 25282*z.\nAnswer: -z*(z - 25282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-672)*-104)\/(2\/(-4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2543 - -2600. Solve 3*q + m - 38 = 2*c, 3*q + 4*c = -7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065 a factor of 88882575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*n + 4*f, 0*f = -2*n + 2*f. Suppose -231 = -n*k + 89. Is 80 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3 + 226*t**2 + 880*t + 872 = 0.\nAnswer: -109, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2)*((-414)\/(-135) - 3). What is the second biggest value in n, -2, -25\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + sqrt(300)*3)\/sqrt(5))\/(-3*sqrt(1452)) + 6*(sqrt(10)*-1*1)\/(sqrt(18)*-1))**2.\nAnswer: 19220\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 7. Let i be o(-4). Let j(f) = -5*f. Let g be j(-1). Let s = g - i. Solve 10 = -0*h - 2*h + 2*b, s*b = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 4\/3*a**3 - 7 - 2*a**2 + 8*a. Let u(r) be the first derivative of w(r). Find the first derivative of u(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*x + 2*d - 86, 5*x + 2*d + 68 = 0. Let z = x + 33. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w - 1. Let g be f(-1). Let a(c) = 3*c - 7. What is the units digit of a(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 3:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -74676.208 to the nearest ten.\nAnswer: -74680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 3*p - 11. Calculate the remainder when y(11) is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) - (-9)\/(-6). Suppose y = -h*y + 25. Solve -f = -4*u + 3, -2*u + y = 3*u + 3*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4706 and -23\/2?\nAnswer: 4706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3\/2, 4\/9, 204.1, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-6)\/(-18)*2\/94). Suppose -d - 21 = 2*c, 0*d + r = -5*d + 2*c. Let o be (3 + d\/6)\/((-3)\/462). What is the highest common factor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/27)\/(-7)*(-120)\/(-320)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1685 + -2759. What is the thousands digit of z\/4*(4 + -5)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/7*o + 0 + 6\/7*o**2 + 1\/7*o**3.\nAnswer: o*(o + 1)*(o + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1236, -2343, -3452, -4563, -5676, -6791?\n\"Answer: -c**2 - 1104*c - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 37 - 35 = 0. Suppose 4*i - 13 = -z, 0*i - 3*i = -4*z + 14. Put l, z, -8, -1 in descending order.\nAnswer: z, -1, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*v - 6, 5*v - 6 = 3*v + a. Suppose p = j + 4, -2*p = v*j - 50 + 32. Solve 11*x - 13*x + p = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a week in minutes?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 + 5*k**3 + 4 - 7*k**2 + 3 + 5*k. What is v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 584*k - 215*k + 343*k + 4*k + (-2 - 5 + 4)*(0 + 0 + k) as m*k + u and give m.\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 1 - 10. Let j be (-6)\/3*b\/4. Let m = 264 + -1319\/5. Are m and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(76)*2)\/(1*sqrt(576)) - -2*(sqrt(19) + 0 + sqrt(19) + sqrt(19) + 5)*-3)*-1)**2.\nAnswer: 1060*sqrt(19) + 61471\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855 = -6*b + 57. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 7 = -37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 1\/4*y**4 - y**3 + 0 + 0*y + y**2 + 1\/60*y**5. Let c be (-7 + -1)*18\/120*5. What is p(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*i*z**3 + 36*c*i + 10*c*z**2 + 2*c + 62*i*z**3 - 8*i + 45*z**3 wrt i?\nAnswer: 2*c*z**3 + 36*c + 62*z**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)**(2\/3)\/(f**(-2\/7)\/f)**(-4\/13)*(((f*f*(f**(-2\/11)\/f)\/f*f)\/f*f)\/(f**(-2\/5)\/f*f))**(23\/5) assuming f is positive.\nAnswer: f**(130331\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1be00 (base 16) to base 6\nAnswer: 2240332","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = -t. Suppose -t*u - u = -24. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40739578 less than 168?\nAnswer: 40739746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5\/2 + 9310*w**4 - 865025*w**3\/2 + 3912530*w**2 + 4354350*w = 0. What is w?\nAnswer: -3770, -1, 0, 14, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347\/5 + -69. Let s(y) be the first derivative of c*y**5 + 0*y**2 + 0*y - 4 + 2\/3*y**3 + 0*y**4. Find the third derivative of s(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15)**(-25) assuming o is positive.\nAnswer: o**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k - 4. Let j be p(-3). Suppose j*u + 20 = -3*u. Let g = 5 + u. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -3)*(-24)\/10. Let b be (-2)\/(16\/j + 2). Is 1\/((-276)\/93 - b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -26*a + 15*a + 9*a**2 - 2*a**2 + 3*a**2 - 15. Let l(d) = 2*d**2 - 2*d - 3. Calculate 11*l(t) - 2*x(t).\nAnswer: 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - -37.3. Let x = 40 - p. Let j = -461 - -463. Which is the second biggest value? (a) j (b) -3\/5 (c) 0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463935 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77279118.\nAnswer: 2, 3, 7, 19, 113, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*a + 100 = 0, 3*p + 16*a - 17*a = 92. Let v(z) = 3*z**2 - 6*z. Let y be v(10). What is the highest common divisor of y and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 20967.\nAnswer: 41934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -0.3, 12, 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/12080 and -87\/22348.\nAnswer: 446960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 10*h + 1. Let a be d(7). Let o be (a\/(-6) - 2)*3. Find the second derivative of -28*j**o - 6*j**4 + 12*j - 32*j wrt j.\nAnswer: -408*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkgkkzdk. What is prob of sequence zkgh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1279 - 259*p**2 + 1279 + 2*p**4 + 1013*p**2 + 1672*p wrt p?\nAnswer: 24*p**2 + 1508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-25))\/((6\/(6\/6*-10))\/(-6))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 + 2*z + 1. Suppose 0 = -4*c + c - 2*r - 8, -5 = 5*c - 5*r. What is a(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 784, 785, 786?\n\"Answer: x + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4627035 by -44067.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049593109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12666*b + 27 - 14 + 6 - 19 to g + p*b and give p.\nAnswer: -12666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 7, 2, 2\/5 in decreasing order.\nAnswer: 7, 2, 2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -154 from 0.0000902.\nAnswer: 154.0000902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762 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: Solve -41*f - 135 = -33 + 144 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1893, 1920, 1935, 1932, 1905, 1848?\n\"Answer: -x**3 + 34*x + 1860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185262?\nAnswer: 2, 3, 7, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-384)\/30*695\/(-4) and 695.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*k - 25 - 67. Let y(i) = -i**3 - i + 1. Suppose -w - 2 = -1. Let n(u) = 2*u**3 - u + 1. Let v(d) = w*n(d) + y(d). Calculate v(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 7*i - 16 = 0. Let j(k) = 2*k**2 + 3*k. Let h be j(-3). Suppose 2*l + 1 = h. Calculate the least common multiple of i and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*r + 26, -5*r - 12 = p + 11. Suppose 8\/5*t**3 - 8\/5*t**5 + 2\/5*t**4 + 0 + 0*t - 2\/5*t**p = 0. What is t?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + 3*f**2 - 28*f + 9. What is y(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Solve -y = -3*u + s, 5*s = 36 - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 22. Let g be l(17). Let z(j) = j + 2. Let t be z(-12). Let p = 41 - 43. Which is the second smallest value? (a) g (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1832320 to the nearest 10000.\nAnswer: 1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 18 = -5*l + 8*l, -5*f - 9 = 2*l. Let w be (-2)\/f - 38\/3. Let t be (-2 - 1)\/(w\/8). What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a*a)**3\/(a**(-6)\/a**2) assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 11, -0.2 in descending order.\nAnswer: 11, -0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125.68 - 9.42. What is q rounded to zero dps?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 9*h**2 - 5. Determine w(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232288368?\nAnswer: 2, 3, 13, 37, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*g + 88*g - 467*g.\nAnswer: -274*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 11}. What is prob of sequence xx?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than or equal to 4\/28533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**3\/3 + 3*x + 1. Is 6 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65, 274, 627, 1130, 1789, 2610, 3599, 4762?\n\"Answer: f**3 + 66*f**2 + 4*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 28. Let m be f(-9). What is the highest common divisor of 289 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**6 + j**3\/3 + 4. Find the third derivative of n(d) wrt d.\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 1 = -5*s + m, -35 = 6*s + m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -0.2, 1\/4, -12, -1\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**5\/15 + 22382*r**4\/15 + 7436*r**3\/5 - 268584*r**2\/5 - 53712*r = 0.\nAnswer: -11190, -6, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12169 + 36076\/3. Let d = 145 + c. What is the nearest to -0.1 in d, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 130*m**2 + 2191*m + 1793. Calculate a(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2767?\nAnswer: 2767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26000 and 350.\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 2*r + 3. Let q be a(3). Suppose 30*i - 3690 = 24*i. Let w = i + -237. Calculate the highest common factor of q and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l + 20*l + 5*l)*(2*l - 2*l**2 - 4*l**2 + 4*l**2 + (1 + 0 - 2)*(l**2 - l**2 - 2*l**2) + 0 + 0 + 2*l**2).\nAnswer: 30*l**3 + 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2*c. Let o = -36 - -34. Let i be q(o). Suppose -4*k - l + 177 = -i*k, -195 = -4*k + 5*l. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5530 - 161*z + 5530 as m + w*z and give w.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190984.\nAnswer: 2, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-1*2\/6. Let s = -101 + 96. Let p be 1*(7\/2 - 3). What is the second smallest value in n, p, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 11:57 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than -219\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156861 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or -139?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 9*l**2 + 8*l - 21. Let i be s(6). Suppose -p - 2*v - i = 0, 3*p - 3*v - 2*v = -350. Is p at most -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 105 = -a + 855, 0 = -2*x - 5*a + 1512. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -601 by -1.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4565 - 3247. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3631 - -2329. Let q = -128 + u. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose -2*n + 5*n = y. Suppose n = 3*z - 4*x + 1594, 2*z + 1062 = x + x. Round z to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, 7 in decreasing order.\nAnswer: 7, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018681939 to 7 dps.\nAnswer: 0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -164. Suppose -19*f + 23 = d - 14*f, -4*f = -u*d - 4. Determine g, given that 0*g**2 - 1\/6*g**d + 0*g + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75.5 + -114.7. Let b = h - -201. What is b rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18963, -39085, -59207, -79329, -99451?\n\"Answer: -20122*w + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 75, 18 in descending order.\nAnswer: 75, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s**2 + 0*s**4 + 1\/5*s**5 + 0*s + 3 + 1\/3*s**3. What is the third derivative of z(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2531617.2 minutes to days.\nAnswer: 1758.0675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1)**2 + sqrt(12)*5 + sqrt(3).\nAnswer: 23*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 9*h**2 - 15*h + 30. Let f be p(-9). Let l be 33\/f*(-15)\/(-4). Determine w, given that 0*w**2 + l*w - 1\/2 - 1\/4*w**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5416\/13 - -416. Sort 0.3, y, 4 in decreasing order.\nAnswer: 4, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 7:17 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 1270 = -1198 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 1105*c - 87125. Calculate h(-254).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + -0.3. Suppose -2*n + 2 = 10. Let l be (-2)\/(-8) - 3\/n. Which is the closest to l? (a) -5 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l. Let w(i) be the third derivative of -i**5\/30 - i**3 + 5366*i**2. Calculate z(w(c)).\nAnswer: 16*c**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2207320.\nAnswer: -1\/1103660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.7705 to one dp.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3757254 and -89\/22.\nAnswer: 41329794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -354.6483 and 0.039.\nAnswer: -13.8312837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(78)\/sqrt(6) - sqrt(13) - sqrt(156)\/(sqrt(12)*3)) + sqrt(104)\/(sqrt(40)\/sqrt(5))*1.\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - (33 + (0 - 4 - 9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5*r - 19, -4*n = 5*r - 48 + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*23\/(-115)*1*1\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 890*f**2 + 891*f**2 - 2668*f**2 + 885*f**2. Let g(z) = z**2 + 110*z. Give g(l(d)).\nAnswer: 4*d**4 - 220*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 905907 and -699.\nAnswer: -633228993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*f**4 - f**2 + 6*f?\nAnswer: 1248*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251*w**5 + w**4 + 20*w**3 + 9057860*w wrt w?\nAnswer: 5020*w**3 + 12*w**2 + 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 10*r - 16. Calculate f(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*f - 10 + 15, 0 = -3*b + 1 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40 + r**2 - 5*r**2 + 2*r**2 - 143 - 940*r**3 - 78 wrt r.\nAnswer: -5640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*y - 167 = -7196. Which is smaller: -688\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or -2\/53?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 225907 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o**2*x**3 + 288437*o**2*x + o**2 - 110*o*x**3 + 4*o*x**2 - 787*o*x wrt o?\nAnswer: 12*x**3 + 576874*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 1 m when three letters picked without replacement from {m: 6, s: 1, u: 5, r: 3, n: 1, q: 4}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -3.2. Let w = -3.9 - -7.1. Let q = m + w. What is the nearest to -1 in q, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.1650691.\nAnswer: 0.1349309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/7, -3, -521, -5\/6, 15?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277883 is divided by 19964?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -22 - 58. Let z = m + -5. Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 5*d**4 + 45*d**3 + 55*d**2 + 20*d.\nAnswer: -5*d*(d - 4)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 1)\/(6987\/(-34)). Let w = -381151816\/411 - -927376. Let a = w + y. Do a and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 33 = -69. Let p be 3 + -2 - ((-2 - -1) + 11). Calculate the remainder when h is divided by (-63)\/14*(96\/p)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*u = -0*d - 1083, -2190 = -2*d - 2*u. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from ooicoiioqqoioqodoooi?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(176)\/(sqrt(8) + sqrt(48)\/sqrt(6)))\/(sqrt(90)\/sqrt(5)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)*24*32\/41856?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 9.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y + 1. Let i(n) = 7*n + 1. Let g(l) = 4*a(l) - 5*i(l). What is g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684*m = -662*m - 668800. What is m rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -52. Solve 2*w - w + 17 = -5*z, u*z = w - 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1672110, 6688469, 15049076, 26753931, 41803034?\n\"Answer: 1672124*a**2 - 13*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 222. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*h + 17, 0*b - 2*b - 2*h = 14. Let v = 41 + b. Suppose 4*f + 1 - 9 = -4*n, 4*n = 2*f + v. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 5*b - 140. Let l(v) = -v**3 - v**2 - v. Let f(q) = i(q) - 2*l(q). What is the first derivative of f(a) wrt a?\nAnswer: 6*a**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 1 + t - 7\/2*t**2 - 1\/3*t**3. List the prime factors of s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 175\/3 (c) -206 (d) -4 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -3, -5, -84 in ascending order.\nAnswer: -84, -5, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x**2 - 2*x)*(-4*x**3 + 2 - 2).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 547.000001172 + -547. What is a rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 = -2*f + 3*f + 775. Solve -f - 5 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k. Let i = 238 + -234. Which is the closest to 1\/2? (a) k (b) i (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Let y be (0 - -2) + -4 - (1 + 2). Sort y, 5, f in decreasing order.\nAnswer: 5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 22*g + 52. Let h be m(-24). Solve -a + 3*f = -h, 3*a + 4 = 2*f + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 0*l - 2*l. Let s(c) = c - 1. Let g(v) = -5*v. Let y(q) = -g(q) + s(q). Calculate -5*b(k) - 4*y(k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faaffaafff. What is prob of sequence fffa?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11267 is divided by 67?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inl when three letters picked without replacement from {l: 4, n: 1, m: 4, i: 2, a: 8}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1972*l + 49. Let p be m(0). Solve -5*k = -5*r + 5, 3*r + p*k = 53*k + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + -2.9. Which is the closest to t? (a) -0.3 (b) -1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20253 (base 9) to base 8.\nAnswer: 32024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188319500.\nAnswer: 2, 5, 376639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*b - 237 + 609. Solve -22*n = -18*n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f. Let b(g) = -30390763*g**2. Calculate b(d(u)).\nAnswer: -273516867*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 6. Let o be u(-5). Suppose 78*v + 14 = 85*v. Solve v*a + 0*a = 5*z + o, -4*a = -z - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3536, 3533, 3528, 3521, 3512, 3501, 3488?\n\"Answer: -z**2 + 3537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17330 < 17330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 402 - 390. Solve k = 4*z - 2*s, 4*z - 3*s - 3 = 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 58*z**2 + 29*z + 257. Is 37 a factor of l(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -28*w**3 - w**2 - 2*w - 1. Suppose 0 = -4*f - u, f - 2*u - 2 = -11. Give b(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08322 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddii when four letters picked without replacement from {d: 3, y: 1, i: 2, t: 1, q: 3, a: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + (5 + 5 - 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*q**2*s**2 + 1804*d**2*q**2*s + 20352*d**2*q*s + 47306847*d**2*s**2 wrt s.\nAnswer: 2*d**2*q**2 + 94613694*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237140.\nAnswer: 2, 5, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q**2 - 15*q**2 - 11*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -17. Suppose 8 = 5*a - h*y - 27, 3*a = 3*y + 15. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 258*w + 2997 = 631 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 * -92.07.\nAnswer: 8838.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 2. Let z(c) = -c + 1. Let p be 1128\/(-14) + (-12)\/28. Let q = -72 - p. What is q*z(s) + 4*i(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2403.71*-0.3.\nAnswer: -721.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2 - 8. Let k = -2 - -5. Find the second derivative of 3*a - 5*a - a**p + k*a + 0*a**5 wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8*i = -10*i - 164977, -5*v - 2*i + 274935 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 9*g**2 + 6*g + 12. Let q be u(-8). Let d be 42\/(-1)*12\/(-14). Let y be (-4)\/(-18) - q\/d. Solve -n - y = 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3309 + -1148226\/347. Is z < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 12*d**5\/5 - 21*d**4\/4 + 2*d**3 + 3*d**2\/2 + 11. Determine o so that u(o) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1736 divide 12127696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*d + 94, 0 = -d + 4*d. Calculate the remainder when 92 is divided by t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -60094.8340037 and -0.071?\nAnswer: 60094.7630037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.147 and -95.\nAnswer: -13.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -16 + 10 - -2) + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = 4*u. Calculate the common denominator of -7 and 2 + (u - -1) + -40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15 = -5*u - 1, 0 = u - 1. Suppose 2*j = -2*k - c*k + 2377, 3*k = -15. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 1442?\nAnswer: 5\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281599, -562291, -842983, -1123675, -1404367, -1685059?\nAnswer: -1965751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -261, -4, 1 in ascending order.\nAnswer: -261, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3190 = d, -7142 - 8750 = 5*d + 4*z. Let i = -2097 - d. Suppose -2*u + 1711 = -i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/(-3))\/(2\/12). What is the common denominator of -97\/2 and 1*-3*(-8)\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(10\/135). Suppose x + 31 = 5*v. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -480 + 459. What are the prime factors of 6440\/(g\/(-3)) + -4?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*w**2 + 2 - 1 - 166*w**2 - 146*w**2.\nAnswer: -211*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w. Suppose -4*t + 5*t - 2 = w. Let r be (10 - 13)\/(1*-1). Solve -r*v = -v - t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 + 5*k**3 + 329*k + 3*k**3.\nAnswer: -k**3 + 329*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*f - 3*f. What is the remainder when f is divided by 0 + (-3 - -5) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5387118 divided by 15798.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from qemqme.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(-25))\/(2\/(-64310)). Suppose 19292 = v + 2*s - 0*s, -5*s + b = 2*v. Suppose -8*u + 4952 = -v. Round u to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117267 is divided by 4691?\nAnswer: 4683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2052*x - 1399461. Calculate l(682).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1150 by 42773.\nAnswer: 1150\/42773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.477 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 459, 1755, 4311, 8547?\nAnswer: 14883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.06 (c) -7278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 335 - 682. Let x = 600 + u. Calculate the highest common divisor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3329*r + 2460*r - 5250*r - 477*r**5 - 1922*r**5 + 2532*r wrt r.\nAnswer: -47980*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302 divided by 29.\nAnswer: -302\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -128 (b) -4\/3 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1\/3, 0.3, -1791, -2\/11, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 0 - (-18 + 45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 363*y + 406?\nAnswer: 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4807052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -46*v. Let o(p) = -919*p - 1. Calculate b(o(j)).\nAnswer: 42274*j + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 21. Let x be -5 + (-48)\/(-9) + k\/3. Let t(f) = 7*f**2 - 6*f - 3. Does 12 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -204598 in decreasing order.\nAnswer: 3, -5, -204598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*k - 8 - 24 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 9*w + 9. Let r be q(6). Let p = r + 14. List the prime factors of -2 + p - (-27 - 1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**4 - 2*i**2. Let v(x) = -2*x**4 - 6*x**2. Let c = 11 - 18. Let g(l) = c*s(l) + 2*v(l). Find the third derivative of g(f) wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/4*u**3 - 1\/4*u**4 + 0*u**2 + 0*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*g - 20, 2*g + 5*p + 10 = -0. Let a be (3 - 0) + (-34)\/4. What is the third biggest value in 0.1, -0.1, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 + 72*q**3 + 263.\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 92 = -5*h. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.91 + 0.01. Let u = 1.4 + s. Let v = -1302 - -1307. Which is the closest to -1? (a) -2 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16836256499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*v - 3*h - 249, 2*v = 5*h + 103. Calculate the smallest common multiple of 20 and v.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**45*(c\/c**2*c*c)\/c*c*c*c*(c**(-6)*c)\/c*c*c*c*c*c*c*c*c\/c**(-1\/33) assuming c is positive.\nAnswer: c**(1651\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5237121 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28771904 by 4.\nAnswer: -7192976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -13. Let z be (-387)\/172*4\/21. Put -2, z, -1\/2, x in descending order.\nAnswer: x, z, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 2*v**2 - 3*v**2)*(-v + 3 - 3) + v**3 + 6*v**3 - 4*v**3 + (v**2 + v - v)*(4 - 2 + 1 - v).\nAnswer: 3*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4805 is divided by 2385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 54 = -2*p + 96, 0 = f - 3*p + 50. What is f rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-6))\/(-15))\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 471 - 18841\/40. Let b = 7\/40 - k. Factor 1\/5*c - 2\/5 + b*c**2.\nAnswer: (c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 643173825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 363, 618, 939, 1314, 1731, 2178?\n\"Answer: -2*f**3 + 51*f**2 + 38*f + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 8}. Give prob of sequence oqo.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 409636.375 rounded to the nearest 100?\nAnswer: 409600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17481 - 1016*n + 17481.\nAnswer: -1016*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*g**3 - 567931*f**2 + 3*g**3 + 191951*g**2 wrt f.\nAnswer: 4*f*g**3 - 1135862*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 459 + -453. What is the hundreds digit of -41*(-204)\/i - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 600*x + 13232. Does 28 divide y(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 5*k + 15 - 20)*(-1 - 4 + 3) to o*k + y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**10\/f*f**(-14)*f**11\/((f\/f**(-6))\/f) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -3783.\nAnswer: -18915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 62830*y**3 - 196877165*y**2 + 3162108240*y - 12664537920.\nAnswer: -5*(y - 8)**2*(y + 6291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 9, -517, -1\/3?\nAnswer: -517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.3, 2661, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56106, -96445, -136784, -177123, -217462?\n\"Answer: -40339*q - 15767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 9:30 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209556341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 19*v**2\/2 + 6*v - 5. Let h be a(6). What is the highest common divisor of h and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.45 (b) -8 (c) 11 (d) -3\/16 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 11*l - 30 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106273791 to the nearest integer?\nAnswer: 10309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 5, 5250.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4937, 9894, 14859, 19832, 24813, 29802, 34799?\nAnswer: 39804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -304.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j - 3*v - 84, 2*v = 3*j - 231. Suppose 5*q - 6*h = -4*h + 154, -3*q - 2*h + 86 = 0. What is the greatest common divisor of q and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxe. What is prob of sequence fe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -14586 and -14586 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 773 - 47 = 11*a. Calculate the highest common factor of a and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1465*k**4 - 299*k wrt k?\nAnswer: 17580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*n + n - 34, -3*t + 40 = 5*n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 5*k - 7. Let u be d(6). Let j(r) = r. Let g(i) = 10*i + 16. Let o(l) = 2*l + 3. Let y(b) = 4*g(b) - 22*o(b). What is u*y(a) - 3*j(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 23*x. Let m(n) = 54*n + 20*n - 99*n + 57*n**2 + 23*n. What is m(j(g))?\nAnswer: 30153*g**2 - 46*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -h + 287, 5*m = -h + 327. Suppose -h = -5*k - 32. Calculate the common denominator of -99\/26 and -1 - 21\/k*-1.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.167 * 1724427\nAnswer: -287979.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + (sqrt(96) - (sqrt(96) - (sqrt(96) - -3*(sqrt(96) + -2*sqrt(96))))))\/(sqrt(88)\/(sqrt(11) - sqrt(275)) + sqrt(8)) + 1.\nAnswer: -8*sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4932355?\nAnswer: 3\/4932355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s + 14. Is 1\/(2\/(-1004)*s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from ypizwzzzpw?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/4)\/s*s*s)*s)\/((s**5\/s)\/s)*(s**0*s)\/((s\/(s**2*s))\/s) assuming s is positive.\nAnswer: s**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624 (base 7) to base 11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*h - 0*h. Let p = h + 0. Suppose -p*n - n = a - 65, 3*n - a - 47 = 0. What is the remainder when 41 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1242, -1938, -3198, -5304, -8538, -13182?\nAnswer: -19518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -80 and 72228428.39.\nAnswer: 72228348.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/35)\/(4\/(-940)). Let u = 126 - o. Calculate the lowest common multiple of 4 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + v + 218, -4*z - v = -662 - 210. List the prime factors of z.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - k**3 - 4*k**3)*(5 - 1 - 2)*(2*k + 2 - 2 + (-4 - 3 + 2)*(-4*k + 5*k - 3*k) - 5 + 5 + 2*k) - 3*k**4 - 7*k**4 + 4*k**4.\nAnswer: -90*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.45 (c) -4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 28, 73, 136, 217, 316?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1143, 3, 1 in ascending order.\nAnswer: -1143, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309.67 + -311. Round g to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 4*g**2 + 3*g - 8. Suppose -19 + 26 + 29 = 6*h. What is f(h)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 548826.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.2 - 29.2. Put -0.2, -1, -5, k in descending order.\nAnswer: k, -0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqaq when four letters picked without replacement from {c: 4, a: 1, w: 1, p: 7, q: 2, z: 2}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -21. Let u = 23 - i. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 41\/421477?\nAnswer: 41\/421477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1332 + -3?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296 by -20427.\nAnswer: 296\/20427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*(t*t**(-2))\/t*t)**(-2)\/((t*t**(-1\/4))**(-4\/21))**34 assuming t is positive.\nAnswer: t**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l)**(-15)*(l**6\/l)**(2\/61) assuming l is positive.\nAnswer: l**(3670\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12529.4 - 12529. Sort 3\/7, 49, 5, i.\nAnswer: i, 3\/7, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + l + 80, -3*g + 4*l + 2418 = -2342 + 4453 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72852 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p**2. Let k(i) = -33295*i - 95. Determine k(a(d)).\nAnswer: 632605*d**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 18*i + 14*i + 108 = 0, 4*b = 496*i - 497*i + 99 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 536 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5666275 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135009210 and 2940.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*n - 21, -t = -4*n - 0*t + 19. What is the lowest common multiple of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8138*g**2. Let c(n) be the first derivative of -2*n**3\/3 - 4950. Determine c(i(p)).\nAnswer: -132454088*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.11\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/((-45)\/24))\/(0 - 1). List the prime factors of ((-12)\/r)\/(6\/(-836)).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*d - 20, -s - 5 = -d + 3*d. Solve a - 20 = s*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-4 + (136 - (6 - 19 - -13)) - 10).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 899 = -188. Let i = h + 20. Suppose 6*f - 904 = f + 3*c, -i = -4*f + 5*c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -0.86 (c) -16\/5747 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 8. Let z = 2 + 4. Let c be n(z). Suppose -4*q + 2*b = -2*q - 28, 52 = 5*q + c*b. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from rriiritiereirrrritr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -50. Let j = 588.7 - 589. Sort t, j, 2\/3, -2\/3.\nAnswer: -2\/3, j, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96859735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 311\/4 + -77. Let r(k) = -66*k - 1912. Let u be r(-29). Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 3 (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-1 - (-3 - -18) - -3)) + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78661622*j - 94212248?\nAnswer: 78661622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 327\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 234816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -476?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(150) + sqrt(150) + sqrt(150)*2 + sqrt(150)).\nAnswer: sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 392*k**3 + 8*k**2 - k + 10427 wrt k?\nAnswer: 1176*k**2 + 16*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 24*h**2 + 20*h - 61. Calculate p(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5)\/(-3) + (-15 - -17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.255 + 0.935. Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -1439, -3265, -5833, -9149?\nAnswer: -13219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141653.1 nanometers in meters?\nAnswer: 0.0001416531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -404.04 + 5?\nAnswer: -399.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -340*m*v**2 + 71364*m - 253853*v**2 - 318 with respect to m.\nAnswer: -340*v**2 + 71364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1481 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/22 + (-995)\/(-55). Let k be (-1 - -1) + (-6)\/(-1). Calculate the highest common factor of p and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3576 - -5229. Let f = u - 568. Calculate the greatest common divisor of f and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2166, 2920, 2264, 198?\nAnswer: -3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {p: 10, r: 2, j: 2}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/6 + 8137*d - 48823\/6 = 0.\nAnswer: -48823, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 - -190. Suppose -4*j = 5*k - 73 - 37, j - l = -3*k. Solve -3 + k = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/13*24661\/3794?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 80.9. Is 0.2 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 14. Let t be q(6). Solve -12 = f - t*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 3*u - 2. Let c be v(-2). Let t be (6 - 5)\/((-1)\/4). What is the nearest to c in t, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 60 = 19*l. Suppose -2 = m - l. Solve -m = 4*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297285 + -6236116\/21. Let j = -327 + y. Which is smaller: j or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 12*j + 2. Let o be n(-12). Suppose -r - o*s + 0*s = -13, 3*r - 3 = 3*s. Suppose 0 = -9*i + r*i. Solve x = -i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 4. Let t be s(3). Let q be (36\/15)\/((-1)\/t). Let -q*m - 3 - 3*m**2 + 3*m + 3*m = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62, -45, -24, 1, 30, 63?\n\"Answer: 2*w**2 + 11*w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, v: 8, j: 3, f: 1, e: 1, o: 2}. Give prob of sequence lv.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53143 + -4?\nAnswer: -53151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 627682 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 are the prime factors of 14703431?\nAnswer: 347, 42373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + q**2)*(1 - 1 + 2*q) + (-2 + 2 + 1)*(-q**2 + 0*q**2 - q**2 + q**3) + 14*q - 14*q - 2*q**3 in the form l + v*q**2 + m*q + h*q**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose k = 2*j - 7*j - y + 118, 0 = -3*j + 4*y + 57. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*a = 518*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*w**5 + 16*w**5 + 4*w**5 + (5 + w - 5)*(3*w - 3*w + 2*w**4) + w**5 + w**5 + 0*w**5.\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 199507 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(2 - (-3)\/(-2)). Suppose -t*v = -0*v. Suppose 10*c - 14*c + 204 = v. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -14. Suppose 4*f - 4596 - 2004 = a. What is f rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -29, -43, -63, -89?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/42 and -83\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8136700 rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.565 and 0.06?\nAnswer: 0.2739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, n: 2, a: 3, i: 2}. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 356061.103 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y - 2. Let x(c) = -7*c - 2. Let o(w) = 4*d(w) - 3*x(w). What is o(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011 + 12202011100101?\nAnswer: 12202011111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89355\/119 - 8\/(-68)?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-2)\/16). Let q(u) = -u**2 + 7*u - 5. Let c be q(5). Let d = c - y. Solve f + 4*x - 18 = 0, 2*x - x - d = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + r + 2. What is the tens digit of s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -790 + 793. Factor -2\/3*o + 2\/9*o**2 + 0 - 2\/9*o**4 + 2\/3*o**l.\nAnswer: -2*o*(o - 3)*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/4 - c**3 - c + 7. Let n be g(3). Let f = 1 + n. Let t(q) = -q**2 - 9. Calculate t(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31606.75 millilitres in litres?\nAnswer: 31.60675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 37 = -5*b, -5*b - 5*y = -3*y - 39. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m - 5. Let i be l(6). Suppose -i = -8*u + 7*u. Calculate the remainder when u is divided by (20\/2 - 0) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-25))\/((-8)\/10)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -9 in descending order.\nAnswer: 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from ubqhi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 + 43*s**2 - 9*s**3 - 10*s**3 - 43*s**2 + 11*s**3.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*r + 1 = -d, -3*r - 5 = -d. Let c(f) = f + 13. Let z be c(-11). What is the remainder when z\/(480\/237 - d) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 10*o**2 - 739*o + 5777. Give w(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-20)*(-1 - -19) - (-2256)\/(-248)\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:43 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 134\/6 - 15\/45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.23 + -0.23. What is the second biggest value in 8, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 1 + 3. Let s = -593 - -7715\/13. Let q = 11\/52 - s. What is the third smallest value in 5, q, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r, -j + 4*r - 1 + 0 = 0. Solve -j = -5*v + m - 20, -4*v + 3*m - 18 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49569)\/1066 + 63\/6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 3*d - 4. Let o be q(3). Suppose 2*p + 7 = -3*z + 3*p, z - p = -3. List the prime factors of z\/o*-1*20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - s. Let p(k) = -3*k**2 - 5*k. Let f = 0 - -1. Let d(h) = f*p(h) - 4*n(h). Let m(v) = -v**2 - 8*v + 8. Let c be m(-9). Calculate d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1165*n**3 - 4276*n**2 wrt n.\nAnswer: 6990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5274 and 0.\nAnswer: -5274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 927263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3*x**2 - 290*t**3*x - t**3 + 4211*t**2*x**2 + 6*t**2*x + t*x wrt x.\nAnswer: -4*t**3 + 8422*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w. Suppose w = -0*z - 5*z + 105. Suppose -3*x - 2*b + z = b, -20 = -2*x - 5*b. Solve i = 6*i - x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 4, 6, -1\/7, -2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.23884 - -1373921.\nAnswer: 1373919.76116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21500 divided by -250.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157 + 354 + 264)*(23*n**3 + 10*n**3 - n**3 - 7*n**3).\nAnswer: 19375*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8058605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/56))\/u**(-3\/23) assuming u is positive.\nAnswer: u**(1479\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(405)) - sqrt(405).\nAnswer: 12 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmesamma. What is prob of picking 1 e and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 109*h - 107. Let s be p(1). Put s, 5, -252 in decreasing order.\nAnswer: 5, s, -252","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*w**3 + 21*w**3 - 13*w**3.\nAnswer: 107*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19045 + 44432. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.54 + 0.06. Let g = 0.1 - h. Suppose -139*y - 2210 = 182*y - 9272. Put 1\/9, g, y in ascending order.\nAnswer: g, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 (base 15) to base 8\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16549 + 71*n - 7073 - 72*n.\nAnswer: -n - 23622","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110224 is divided by 27546?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*z - 0. Let l = -12 + 7. Let b = -5.3 - l. Sort b, 2\/13, z in descending order.\nAnswer: z, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 14*p**3 + 8*p**2 - 24*p.\nAnswer: 2*p*(p - 1)*(p + 2)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) 40.73 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34907594069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519578 less than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 20*i**3 + 4*i + i + 2 - 2262*i**2 + 2260*i**2 in the form k*i**2 + h + w*i**3 + p*i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -94.9, -3.2, 3\/7, 4, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 692417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (-52 - (-13 - 66))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from jssgs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + 70. Let a = -88 + k. Solve t - 6*t = -a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 2 + 0*g + 2*g + (1 - 1 - 3*g)*(1 + 0 + 0) as i + k*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 73554 + 104106 = 0. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888757 is divided by 1888741?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 4*t - 28 + (2 - 3 + 2)*(-1 - t + 1) + (0 - 5 + 2)*(-5 - t + 5) as r*t + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 24*y - 65. Let n be w(-19). Let q = -465 + n. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - (-1)\/3. Let n be (3\/3)\/(i\/(-5)). Let v(u) = u**2 + 5*u. What is v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 = 6. Suppose 5*k - 14 = -m*b, -3*k + 11 = 5*b - 7*k. Suppose 11 - 1 = 5*w. What is the biggest value in -3\/7, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17 = -1. What are the prime factors of 51\/t + (-1)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:59 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.2 - -0.2. Let a = -6.4 - s. Let t = 0.4 + a. Which is bigger: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/33152 and -117\/16576.\nAnswer: 33152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6475*k - 1818*k**3 + 3234*k + 3241*k.\nAnswer: -1818*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 1\/2*d**2 - 4\/3*d**3 + 0*d - 4. Determine z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z + 2. Suppose -5*g = 1 + 14. Let w(j) = 265*j - 3 - 231*j - 43*j. Give g*m(t) - 2*w(t).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6761?\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2. Let y be (-2)\/((36\/(-45))\/2). Let x(h) be the third derivative of 0 + h**2 - 1\/30*h**y + 0*h + 0*h**3 + 0*h**4. What is x(t(d))?\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1450428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from lollool?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Let z = l + -8. Let b = -1 - -3. Sort 3, z, b.\nAnswer: z, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -155. Let h be (0 - o) + -3 - 0. Let u = 7 + -4. Let p(v) = 2*v + 5. Let m(d) = d + 4. What is h*p(z) + u*m(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10*l = 28. Let t = 2 - -3. Solve 4*p = l*k - t - 11, -3*p - 11 = -2*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13910654 and 170.09374.\nAnswer: -13910483.90626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -3 + 2*(sqrt(68) + sqrt(68) + 0 + -5)*3 + 5)*-3)**2.\nAnswer: -9936*sqrt(17) + 92889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l. Let c(h) be the first derivative of -h**2\/2 - h - 371. Calculate -c(p) - y(p).\nAnswer: -15*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88769\/29 - (0 - -4)?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65370 divided by 3.\nAnswer: -21790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 9) in base 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + 1024\/(-84) + 4\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 2 (c) -0.2 (d) -0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*u + 34*u + 10*u**2)*(-8*u**2 + 12*u - 12*u)*(0 - 2 + 0)*(-2 + 1 - 2) as o*u + z*u**4 + t + a*u**3 + y*u**2 and give z.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1764 and -3304.\nAnswer: 5828256","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*r + 25 = 4*r, 28*r = 24*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 910271334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100011 (base 2) to base 16\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-11 - -25 - 41)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and 35\/8472.\nAnswer: 8472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 270215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9810 + -9814. What is the closest to -5 in 16, j, 3, -3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36900371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j - 2810*j**2 + 3 - 25*j**3 - 25*j - 3 + 2812*j**2.\nAnswer: -25*j**3 + 2*j**2 - 71*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + (24 - 12) + -7 + 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2229, -8859, -19883, -35289, -55065?\n\"Answer: 2*j**3 - 2209*j**2 - 17*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/126 - (-80)\/(-165). Let i = -0.1 - -0.1. Which is the second biggest value? (a) i (b) 6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 6*a**2 + 9*a - 10. Let s be (-8)\/(-4) - (-3 - (2 - 0)). Give u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*b - 56, 7*b - 2*b = 2*v + 79. Calculate the remainder when 59 is divided by 7\/((-175)\/(-20))*b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h = -76*h - 2*f + 21, 73 = 3*h + 4*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7120*k = -7624*k + 19656 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 5 (c) 0 (d) 64 (e) -4 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222001 + -10?\nAnswer: -1222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 + 727 = 16*t. Solve 5*o + t = -2*s, -5*o - 5*s - 55 + 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*s - 45 = -4, -2*x + 28 = 7*s. What is the second biggest value in 5, 1\/3, -1, 2\/23, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 9.0504547\nAnswer: 4.52522735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c80 + 1?\nAnswer: -c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 58*q + 8. Calculate p(58).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59836573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*r - 5*h, 2*r - 26 = -4*h - 0*h. Let d = r - 4. Are d and 16\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 29267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234.9996364 + 235. Round t to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - 9) + 26 + -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 + 70*s - 6. Let f be v(-6). Solve q - 1 = -2, 0 = -j - 4*q - f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x - k + 16 = 0, -x = -5*k + 17. What is the third smallest value in 2, -7, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-16))\/((-36)\/(-24)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 2*u - 5*n - 24, -3*n = -4*u + 563. What is the remainder when 714 is divided by u?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/28)\/((-1)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/22)\/(-2))\/(50\/(-550))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7472129 to the nearest integer?\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 less than -15.54?\nAnswer: -14.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 + -40?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.093, -2\/13 in increasing order.\nAnswer: -2\/13, 0.04, 0.093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 7*t - 588. Let u(r) = -9*r - 23. Calculate the remainder when t is divided by u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:18 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0778 times 11013.1\nAnswer: -856.81918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u - 3*u)*(-4 + 4 + 4*u) + (-2*u - 3*u + 0*u)*(6*u - 4*u + 0*u)*(0 - 5 + 2) to i*u + o*u**2 + r and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14644?\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -4 + 28. Suppose u + 1 = n. Solve 2*d + 2*w + 1 = -n, 14 = -2*d - 4*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -143251, -143250, -143249?\n\"Answer: x - 143252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 3. Suppose -2*t - 2 = -f. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*o = 5, 0 = 3*f + 2*o - 5*o - 24. Suppose -4830012 = 3*u + f*k, -2*k = -4*k - 8. Round u to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 14) to base 10\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/3400 and 9\/272?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -23*c - 32. Let w be r(-4). Let h be (-5 - w\/(-9))*3. Let u(k) = -k**3 + 5*k**2 - 3*k. Give u(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**2 + 92*a + 93. Give p(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 308*t**3 - 1852*t**2 + 24*t + 21. Calculate d(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -24*((2700\/(-48))\/(-25))\/(6\/(-1252))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(30)\/sqrt(10)*-5*-4.\nAnswer: -100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 278648984 a multiple of 2014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 - 123. Let r(q) = -q**3 + 4*q**2 + 5*q - 1. Let m be r(5). Which is the nearest to m? (a) 4\/5 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 = -5*f - q, -6436*q + 6441*q + 7882 = 96*f for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 29. What is the third biggest value in -0.1, -0.04, t, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -61*n + 7245. Let m(g) = -13*g + 1449. Determine -3*b(p) + 14*m(p).\nAnswer: p - 1449","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0) + (-7 - -11). Solve -2 = i - x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26572187 and 228824?\nAnswer: 212577496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000187806 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18b9 (base 13) to base 15\nAnswer: 116b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16435122?\nAnswer: 2, 3, 11, 249017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -403 (c) -2\/3 (d) -0.16 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 2*z**2 - 4*z + 4. What are the prime factors of v(4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*c**5 - 118342*c**4 - 3468722*c wrt c.\nAnswer: 200*c**3 - 1420104*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3 - 63650544*j**2 + 2*j - 69640299 wrt j?\nAnswer: -3*j**2 - 127301088*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115925 is divided by 1525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose -31 - 29 = -3*n. Suppose n = 2*t + 2*t. Solve y*s - 1 - t = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r - 335 = 0, -7056838*y - 4*r - 14 = -7056840*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 - 70*h - 336. Calculate z(-18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Let b = 1 - -3. Solve -16 = -3*r - b*i + 1, -s*r + 4*i - 24 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280\/23 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5*p - 22, 6*r - 7*r - 6 = 2*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278368 is divided by 959?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1135941, -4543807, -10223583, -18175269, -28398865?\nAnswer: -40894371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - 40*g + 11*g + 3*g**3.\nAnswer: -g**3 - 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by -88209.\nAnswer: 116\/88209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/180 + 2164\/30 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 7*h**2 + 5*h - 7. Suppose 4*d - 2*d - 2*u = 4, 0 = 3*d + 3*u + 24. Let w be o(d). Let a be (20\/(-24))\/(w\/24). Solve g + 3 = a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*p**2 - 3*p**6 - 47*p**4 - 36*p**4 + 83*p**4 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 17444 = -4*z, -j + z = -0*j + 4361. Let t = j - -9118. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 5, 311, -4, -1 in descending order.\nAnswer: 311, 5, 2\/11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/(2\/(-12))*(-39)\/78*-16?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 556881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147\/121 + 64242\/605. Let m = -107 + y. Factor m*r**2 - 4\/5 + 2\/5*r.\nAnswer: 2*(r - 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.283 + 0.017. Let s = 4 + -3.7. Let g = k - s. Sort -3, -2\/5, g in descending order.\nAnswer: g, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2843\/6 + -17011\/30. Put u, 1, -2 in decreasing order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-3))\/((-10780)\/3528)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/121970 and 6\/134167.\nAnswer: 1341670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**3 - 20869*x**2 - 108621*x - 137907 = 0.\nAnswer: -3, -11\/5, 4179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10191 * -19\nAnswer: -193629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -106, -246, -442?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o + 195. What is the remainder when 128 is divided by r(22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/17))**(-13\/6)*m**(-1\/6)\/m*m**(-1\/17) assuming m is positive.\nAnswer: m**(-62\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (2 + -18 - (-1181 - -1179))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2. Let d(v) be the third derivative of -3*v**6\/40 - v**5\/20 - v**3\/6 - 4387*v**2. What is -d(n) - 3*r(n)?\nAnswer: 6*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 92*v - 97*v - 116 = 0, 4*v + 29 = n. Calculate the remainder when 286 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21624 (base 8) to base 5.\nAnswer: -242413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*o - 0*c + 143, c = -4*o - 109. Let t be -35*1*8\/o. Solve 6 = t*f - 7*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 31. Let s be p(10). Which is the nearest to 1? (a) -2 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-221*108\/(-468))\/3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1721*l - 67118. What is t(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 132*k = 0. What is k?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -737 - -737. Put d, 3, -1, 4 in ascending order.\nAnswer: -1, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - m + 2)*(-m - m + 4*m) + (m - m + m)*(-1164*m + 5 - 14 + 9).\nAnswer: -1166*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 - 22 = 3*d, 5*d - 52*n + 114*n = 57*n - 45 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -378, -0.5, -0.6, -4.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2. Let i(j) = 407*j + 1057. Let s(r) = -441*r - 1057. Let k(c) = 13*i(c) + 12*s(c). What is v(k(m))?\nAnswer: 3*m**2 - 6342*m + 3351747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11508303 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1766374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - -3.08. Let g = 2.99952 - m. Round g to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -285.6?\nAnswer: -293.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-5) - 21\/1155)\/1. What is the nearest to 0.02 in c, -1, 0.2, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -12*(-30)\/189?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6726428 and 2794?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**3)\/(v*(v*v**(-2))\/v*v))\/(v\/v**0)**(2\/41) assuming v is positive.\nAnswer: v**(-84\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*b - 2, 3*b - 64903*f + 64901*f - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006994?\nAnswer: 2, 3, 11, 47, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(891) + 5)**2 - (5 + (0 + 2*sqrt(99))**2).\nAnswer: 54*sqrt(11) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/25 + 659108*d\/25 + 8042606\/5 = 0.\nAnswer: -61, 329615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21997 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 195\/3*74*(-184)\/17020\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -6*m + 14. Let y(v) be the third derivative of 0*v + 0 + 0*v**3 + 1\/8*v**4 - v**2 - 1\/20*v**5. Give y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287\/1312*216 - 1\/4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 615*m - 618*m - 5, 4*m + 3 = -5*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 28*i**2 + 57*i - 124. Determine y(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 261, 239, 215, 189, 161, 131?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 992760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 14*f**2 - 2*f + 7. Let s(b) = -b**3 - 7*b**2 - b + 3. Let i(h) = 3*m(h) - 7*s(h). What is the units digit of i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -2426.09?\nAnswer: 2426.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 405 - 1173. Let d = 1099 + l. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 30. Let x(k) = -2*k - 29. What is 3*x(w) + 2*z(w)?\nAnswer: 2*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*u - 152 - 71, -4*u = 3*j - 407. Suppose -4*f + 128 = u. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(136)*2)\/(sqrt(512) + sqrt(512) + (-1*sqrt(512) - sqrt(512)) + sqrt(512) - sqrt(512) - sqrt(64)\/(sqrt(16)\/sqrt(2))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 12. Let q be a(9). Suppose -q*o = o - 24. Suppose -5*k - o = 5*z - 71, -5*k = -3*z - 25. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-6)*(-10)\/(-12)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 35 + 10 + 8 = -15, 0*a = -4*m - 5*a - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/150)\/((-12)\/(-30))*2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29042157*z**5 + 8150*z**2 - 1318 wrt z.\nAnswer: 1742529420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + 6 - 11 - 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohi when three letters picked without replacement from {o: 2, t: 3, i: 6, h: 3, r: 5, y: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000002100 - -11?\nAnswer: -21000002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*c - 6*c. Suppose -3*z - c = -4*z. What is the units digit of 1\/(-2)*(z - (80 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1191904 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -388, -401, -428, -475, -548, -653, -796?\n\"Answer: -l**3 - l**2 - 3*l - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 - 6*t**2 - t + 3*t + 9*t**2 as u*t**3 + x*t**4 + n*t + r + w*t**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2734.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.73 - -46. Let q = -3.73 - j. Sort q, 5, -1.\nAnswer: q, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3615, -28839, -97301, -230619, -450411, -778295, -1235889?\n\"Answer: -3603*i**3 - i**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31072333 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21251449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose -2*k + 2*b + 44 = -v*b, b - 80 = -3*k. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i + 7*i + (-i + 0*i + 3*i)*(1 + 1 - 1)*(-1 - 1 + 8).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96865.\nAnswer: 5, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 4*g**2 - 2*g + 4. What are the prime factors of o(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/2)\/(9\/12). Suppose -31 - i = -5*h. Suppose -51 = -3*g - h. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:59 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.18 - -3.28. Let q be (0 - 2) + (-14)\/(-6). Let j = 701\/12909 - 1\/331. Which is the closest to j? (a) q (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -117, -2, 27, 4 in descending order.\nAnswer: 27, 4, 1, -2, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17*k - 5. Let f = -39 - -36. List the prime factors of n(f).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-22)*o**28 assuming o is positive.\nAnswer: o**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzzzwzzzzzzzzzr. Give prob of picking 2 z.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(5*u + 2*u - 3*u)*(4*u + 0*u - 3*u) + 2 - 2*u**2 - 2 to the form n*u**2 + y + p*u and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11060 and 14420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 137 - 37 = 0, 0 = -4*t - 3*j - 9053 + 9121 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r**3 + 4*r**2 + 2*r + 1. What is h(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325*(-13)\/(-676)*3\/(-15)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 555 + -552. Let r = -9.5 + -1.5. Let g = 10.6 + r. Which is the smallest value? (a) 5 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/72)\/(6\/(-16)). Let l be (-8)\/12 + (-58)\/(-54). Let j = r - l. Which is smaller: j or -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 18*y**4 - 3*y**3 - y**3 - 1 - 2*y + 0*y**3 - 16*y**4 + 0*y as u*y**4 + p*y**3 + q*y**2 + f + d*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1012301?\nAnswer: -1012312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10*m**(-1\/2)\/m)**(-15) assuming m is positive.\nAnswer: m**(-255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24003 is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075598196?\nAnswer: 2, 3, 31, 47, 61519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 20 = -5*v. Suppose v + 0 = -5*u, u + 17 = 3*s. Let z = 463.4 - 463. Sort s, z, -0.3.\nAnswer: -0.3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(2 + 2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25408246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -452?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**3 + 9*r**2 + 4. Let f(w) = 15*w**3 - 18*w**2 - w - 9. Let j(b) = 6*f(b) + 13*k(b). Let p be 7 - 1\/3*-3. Is j(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17 + -3 + (-1)\/(4\/(-24))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1713 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**8\/80 + 5*q**4\/12 + 4*q**3 - 15*q. Let h(o) be the second derivative of v(o). Differentiate h(m) with respect to m.\nAnswer: -84*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -12*b - 30, -525*t + 18 = 2*b - 263*t - 266*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*s**2 + 754*s**5 + 877*s**2 - 755*s**5)*(0 + 1 + 0).\nAnswer: -s**5 + 1000*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277307.\nAnswer: 3, 347, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 993097 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5274 or -0.1?\nAnswer: -5274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12020 and 62?\nAnswer: 372620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 2, e: 2, l: 1, k: 1}. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14570 divided by -2914\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 39*h - 6. Let q(s) = 3*s**2 + 35*s - 6. Let i(u) = -6*q(u) + 5*z(u). Determine i(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 - 7*a - 106. Let k(r) = 11*r**2 - 6*r - 103. What is -7*k(z) + 6*o(z)?\nAnswer: z**2 + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0*j**(-2\/7)*(j**(2\/3))**(-17) assuming j is positive.\nAnswer: j**(-244\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let q = w + -0.1. Let l be 1\/5*10\/4. Which is the second smallest value? (a) q (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-204)\/(-918))\/((-25)\/90))\/(176\/5 - -2)\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3083748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 73.6 * 41\nAnswer: 3017.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 595 + -594. Let k be (-9)\/(-12)*(3 - -1). Let l be 6\/(k\/n)*3. Solve -s = 2*i - 4*s + l, 3*s - 9 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(5)*2)*5*5)**2.\nAnswer: 10000*sqrt(5) + 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2 + 176 + 3*l**2 + 2147*l**3 - 2115*l**3 wrt l?\nAnswer: 96*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -2, 17, 56, 121?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14325.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 688\/175 + -70783\/11550. Calculate the common denominator of y and 143\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 12*z - 9. Let g(l) = 0*l - 24*l + 13 + 5 - 3*l**2. Let r(x) = -4*g(x) - 9*k(x). Let r(s) = 0. Calculate s.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -258\/2059 + 4\/71. Which is the nearest to o? (a) -1 (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + 48\/9. Let m be (-10)\/(-50) + (-66)\/u. List the prime factors of m\/(39\/(-220)) + (-2)\/(-3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151942.\nAnswer: 2, 7, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*v**3 + 81*v**2 - 81*v**2 + (-3*v - 4*v + 5*v)*(2*v - v + 2*v)*(-v - 5 + 5).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 17*z**2 - 46*z + 169. Give l(15).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i + 186*i + 45*i + 66*i.\nAnswer: 227*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + r**2 + r + 3. Let x be p(0). Solve -2*o + 4*n - x - 3 = 0, o + 4*n = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194791 is divided by 230.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30090234 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0*u + 1\/12*u**4 + 1 + 0*u**3 - 7*u**2. Let r(y) = -4*y**2. What is p(r(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(-18)))\/v*v\/((v**(1\/20)\/v)\/v))\/((v*v*v\/(v\/v**(-1\/3)))\/(((v**19\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(2117\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 615264 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-1)*(-588)\/10290.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 34*f - 30*f + 21 = 0, 4*t + 3*f - 8 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 0, 1.1, -1\/3 in decreasing order.\nAnswer: 1.1, 6\/7, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 11. Suppose -b = 3*b + h. Let k(x) = -x**3 - x**2 - x. Let c be k(b). What is the greatest common factor of c and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -5*f**4\/24 + 16*f**3\/3 - 16*f**2. Let v be x(9). Let j = v - -96. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(9\/5)*(3 - 4). Let h(w) = 6*w - 3. What is h(g)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/10)\/(-9)*(-1560)\/(-90).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.62998 and -0.4?\nAnswer: 1.02998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2715000 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 13. Let f = -6 + j. Solve 0*d = -f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 154. Let f(k) = 2*k**3 - 25*k**2 - 11*k + 6. Let h be f(13). Let v be u(h). Solve -3*o + w - 2 + v = 0, 0 = -3*w + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/(1\/7). Suppose o*b - 2*m = 46, 3*b = 5*m - 0*m + 77. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/7 (b) 2 (c) -102 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 2 s when four letters picked without replacement from {l: 1, o: 2, s: 3, g: 1, z: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 799 - 29. Calculate the common denominator of -61\/5 and (-270)\/l + (-2)\/11.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z - 1. Let i be y(1). Let f(k) = k**3 + 7*k**2 + 6*k - 2. Let l be f(i). Let a = -5 + 8. Solve 3*w = -a*q - l, 4*w + 5*q - 4*q = -18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215900 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61448*q**2*u**4 + 2*q**2*u - 10839*q**2 - q + 21 wrt u.\nAnswer: -245792*q**2*u**3 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -248, -2595, -9062, -21707, -42588, -73763?\n\"Answer: -343*x**3 - 2*x**2 + 60*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 0.3 (b) 3 (c) -103 (d) -1028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*o + 526260*p - 526261*p, -10*o = -p - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.941719 rounded to 0 dps?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 1345 + (-6)\/(-2). Suppose 2*n = -4*o, 4*n + 3*o - 11 = 4. Suppose 0 = n*a - 4*a - b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-4\/9)\/z*z))\/z**3*((z*z**(4\/3))\/z)\/z**(3\/10) assuming z is positive.\nAnswer: z**(-137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202459 is divided by 764?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -49. Let h = w - 27.4. Round h to 0 dps.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*t. Suppose 4*a - 26 = -2*c, -5*a = -2*c - 8 - t. Suppose -2*f = 3*l - 14, 0*f = 2*l - c*f + 16. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b1b1a (base 12) to base 4.\nAnswer: 30101200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-98)\/(-63))*2\/(-5). Let h = 710.5 - 711. Let g = 0.02 - 2.02. What is the second biggest value in n, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244533 is divided by 33797?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222705 by 14847.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = 2*s, -4 = -2*s + 2*a + 4. Let j be -1*23*(-1 - s). Suppose j = 3*o - 31. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58239.\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14529 or -8861?\nAnswer: -8861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176202*d*f - 16398*d with respect to f.\nAnswer: 176202*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -34249 - 1820*j + 34249 in the form d + m*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3 (c) 0.4 (d) -1 (e) 6201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:09 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32300 + -310?\nAnswer: 31440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2014 or 2016?\nAnswer: 2016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 2*g**2 - g**2 + 4*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 3*i, -4*i + 2*i + 2*h = 2. Solve i = x - 2*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.3, -2, -0.2, 519?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = 20. Let m be 2\/v + 10809\/27. What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((51\/39)\/17*-1)\/1)\/((-2)\/(-2))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = o - 84, 213 = 5*w - 3*o + 4*o. Suppose -3*v - 59 - w = 0. Let k be v*(2 - 10\/4). Solve 0 = 5*j - 5*s - 40, -2*j - 5*s - k = -5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000068992 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13969 is divided by 660?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3, b: 4, k: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 908 = -7*p - 723. Let l be (15\/(-60))\/(2 - p\/(-116)). Solve 6 = 2*j, 2*f - 3*j + l = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = m. Suppose 0 = 4*l + w + 900, -m*l + 3*w - w - 1125 = 0. Let o be (-4)\/10*l\/60. Which is the nearest to 2\/5? (a) 0.3 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/5 - 16\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*w - 13 = 3, -3*o = 4*w - 24. Let g be (-2)\/(-4) + 2\/(-4). Solve -o*q + 6*q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -17, -34, -67, -122, -205, -322, -479?\n\"Answer: -m**3 + m**2 - 3*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -484*j**3*p + 164*j**3*v**2 - j**2*v**2 + 8*p*v**2 + 8*p*v + 188*v**2 wrt p.\nAnswer: -484*j**3 + 8*v**2 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 + 5*q - 6 = 0?\nAnswer: -2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 - 8*n**4 - 10*n**3.\nAnswer: 2*n**3*(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178986*t = -179121*t + 5265 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11818\/3 + 126\/(-54)?\nAnswer: 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 942 - 946.11. Let q = 0.11 + p. Suppose 0 = -4*x - x - 15. What is the closest to 0 in x, q, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -37\/3 (b) 12 (c) -62 (d) -2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -52*t**4 + 368*t**3 + 460*t**2 - 6056*t + 5280 = 0.\nAnswer: -4, 1, 5, 66\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.9. Let q be 4*((-6)\/(-16) + -1). Which is the nearest to s? (a) -0.2 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -209116?\nAnswer: 209114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308 - 304. Suppose y = -5*l + 801 + 1098, -a*l = -2*y - 1522. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -681, -1033, -1401, -1791, -2209?\nAnswer: -2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.39? (a) 5\/3 (b) 0.9 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizazziaci. What is prob of sequence iiai?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 2362 - 878. Let l = 272 - h. Let a(d) = 3*d - 8. Calculate a(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0.2, -25818, -1, -0.4.\nAnswer: -25818, -5, -2, -1, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 1, b: 6, k: 3, a: 4, u: 2}. Give prob of sequence al.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 163, 329, 495?\n\"Answer: 166*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -340620770 to the nearest 100000.\nAnswer: -340600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 73 = -71. Calculate the least common multiple of 128 and u.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16988 - 8001. List the prime factors of l.\nAnswer: 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6657421 * -2.1.\nAnswer: 1.39805841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529220039 to the power of 1\/3, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - -2 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57607, -57539, -57427, -57271, -57071, -56827, -56539?\nAnswer: -56207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1354, 10865, 36706, 87049, 170066, 293929, 466810, 696881?\n\"Answer: 1362*m**3 - 7*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -650, -988, -1340, -1712?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 + 8377128*p + 8772034191048 = 0. What is p?\nAnswer: -2094282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010 (base 3) in base 16?\nAnswer: -8a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0*g**2 - 5 + 4*g + 0*g - 4*g**2 + 2*g**2. What is r(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 3*m + 3. Let c be w(3). Suppose 3*t + 0 - c = 0. Solve -3*n - 12 = -2*y, t = 4*n + 3*y - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752446545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 12*w = 49. Let s = -35 - w. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = -6. Let z(i) = r*i + i - 7*i. Let x(t) = 12*t + 1. Let f(m) = -68*m - 5. Let j(p) = -f(p) - 5*x(p). What is j(z(k))?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -221?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.879 - 0.081. Let i = -0.04 + o. Let j = 2 + i. Which is the second biggest value? (a) -3 (b) 4\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 339, 404, 513, 666, 863, 1104, 1389?\n\"Answer: 22*u**2 - u + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from iwwrb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 346\/581 - (362618\/(-3818) + 95)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 310267, 620536, 930805?\n\"Answer: 310269*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Find the second derivative of -d - c*d**3 + 3*d**3 - 2*d**3 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2034 - 2030. Let x(v) = -6 + 6*v**2 + 6*v + 8*v**2 + 0*v. List the prime factors of x(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*18\/(-54) - (-288)\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.4 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 16, 2\/11, -62576.62?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -3. Let v(t) = 6*t**2 - 9*t - 34. Let s be v(3). Let u = s - m. What is the third smallest value in 5, 11, u?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 528, 527, 526?\n\"Answer: -m + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2500.823ml to litres.\nAnswer: 2.500823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/1447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvg when four letters picked without replacement from bbgvggbbvvvbbbvgbg?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104744 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 75*i**2 - 152*i + 451. Calculate the remainder when t(33) is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:43 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 17, 0.34 in descending order.\nAnswer: 17, 0.34, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 180976*a**2. Let i(v) = -38*v. Give w(i(l)).\nAnswer: 261329344*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvkkvvvvkvvvvvvvk. What is prob of sequence kkv?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z + 1168. What is the smallest common multiple of 774 and n(-40)?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5805\/(-86)*4\/50\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 14 = -0*i + h, 0 = -3*h - 6. Solve -7*k + 24 = i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4*h - 4)*(-22591 - 82*h**3 + 22591) - 3*h**3 + h**4 + 3*h**3.\nAnswer: 329*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3384 and -85\/21408?\nAnswer: 3018528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*t - 140 = 484*t. Calculate the highest common factor of 60 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6061286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1947935 divided by -5885.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5910 + -5907. Solve j*l = -4*w + 8, 2*l + 17 = -w + 6*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1351 + 2)\/(7\/28*4)?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 4 (b) -4\/5 (c) 1\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 17*m + 608 = 0. Solve m = u + 7*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(80))**2 + 1 + 0 - (-5*(-1 + sqrt(80) + sqrt(80)) + 1)**2) + 4.\nAnswer: -1464*sqrt(5) + 23866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 168*j**2 - 507*j + 9768. Give h(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230679490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-243)\/(-90))\/(12\/(-20))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25548?\nAnswer: 2, 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a61 (base 13) in base 2?\nAnswer: 100001011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 125, -4, 3, -3 in ascending order.\nAnswer: -4, -3, 3, 45, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1535996*c**3 + 172806*c**2 - 6484*c + 79. Let o(p) = -2*p**3 - 3*p**2 + 2*p + 1. Let m(x) = d(x) + 2*o(x). Factor m(a).\nAnswer: -3*(80*a - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {s: 8, a: 3, w: 6}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raeaapccpcerppp. Give prob of picking 2 a and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 456254955 divided by -111\nAnswer: -4110405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/4866 and -137\/1744644.\nAnswer: 1414906284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -22. Let v = -6.8 + 0.8. Let u = v + 5.6. Which is the smallest value? (a) -3\/4 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43200*i**2 + 7869*i + 1033479709?\nAnswer: -86400*i + 7869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 - 6448586*b\/5 + 283733912\/5.\nAnswer: 2*(b - 3224249)*(b - 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -13350222?\nAnswer: 13350301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/45)\/((-147)\/(-70) - 2). Put y, -6, -5, 3 in increasing order.\nAnswer: -6, -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66656593.\nAnswer: 66656593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8242 is divided by (-1377)\/102*-2*10\/15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9.7, -3\/7, 0.08 in ascending order.\nAnswer: -9.7, -1, -3\/7, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0242, 4.22, 4?\nAnswer: 0.0242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119890, 239775, 359660, 479545, 599430?\nAnswer: 719315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 1, u: 2, n: 3}. What is prob of picking 1 u and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 - h + 8. Calculate the remainder when 7 is divided by q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5435962 kilometers?\nAnswer: 54359.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3810, -7530, -11164, -14712?\nAnswer: -18174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 3*h. Give v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -5*p + 48. Let q be 3\/(2 + p\/(-10)). Calculate the common denominator of -73\/18 and (-286)\/(-12) + (-2)\/q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -10. Let y = -5 - p. Let q = y - 7.2. Is q greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(-19360*k + 0 + 15227*k + 0) as b + m*k and give m.\nAnswer: 8266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30593 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 + s - 6. Let l = 18 + -9. Let u be n(l). Solve 4*t - t**u - 3*t**2 - 2*t**3 - 3*t + 5*t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28220500 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/354291 and 5\/7406.\nAnswer: 374839878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246378281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3*m + 16 = -2*b + 7*m, -5*b - 8*m + 7*m + 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010091323 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 1}. What is prob of sequence vn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 8795508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 161104 (base 7) to base 6\nAnswer: 402201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 + 0*t**2 + 2*t - 3*t. Let h(s) = 5*s**3 - s**2 + 6*s - 4. Let z(u) = -h(u) - 4*x(u). Let v be (-6)\/(2 - (4 + -4)). Give z(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -16*w + 56. Let j(p) = -11*p + 37. Let o(d) = 8*j(d) - 5*k(d). Let t be o(2). Which is greater: t or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 50*l - 697. Calculate w(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -i - 899, 0 = -5*i - 0*i - j - 4495. Let b = 6283\/7 + i. Let r be 1\/2 - 11\/14. Is r > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 359*a**7\/70 - a**6\/60 + 271*a**4\/4 + a**3\/3 + 1531*a**2. Find the second derivative of m(k) wrt k.\nAnswer: 12924*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293013 is divided by 2093.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24*l**3 - l**2 + l. Calculate the remainder when 47 is divided by w(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by 6.\nAnswer: -101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0)*(0*f**2 + 2*f**2 + 0*f**2) - 15*f**3 - 4*f**3 + 4*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, l: 6, o: 1, e: 2, r: 1}. Give prob of sequence elg.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w. Let m(l) = 7*l. Determine m(z(s)).\nAnswer: 119*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-1)\/3*26*231\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-100)\/(-4)*(-4)\/10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.322 plus 49?\nAnswer: 50.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -68. Suppose -3*m = m - 3*z + 108, 0 = 2*z + 8. Calculate the remainder when 10 is divided by a*-9*20\/m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 33*f + 104*f + 24*f - 21. Let b be v(2). What is the greatest common divisor of 43 and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/19))\/b*(b**(-4)\/b)\/b assuming b is positive.\nAnswer: b**(-118\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24*3)\/(693\/(-39732))?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 4*d + 7. Let s be q(-5). Let l be -7 - -1 - (s - 4). Let c(z) = 2*z**2 + 6*z. Calculate the least common multiple of c(l) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + 3371. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640 a factor of 2793061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 450.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33758, -34290, -34808, -35306, -35778, -36218?\nAnswer: -36620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 2*t - 6. Let x be c(-3). Suppose x*i = 4*i + 10. Suppose -i*f + 7*f = 10. Solve 0 = -3*l - f*d + 25, -4*l = 3*d - 22 - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9742423*s**2 + 450582 wrt s.\nAnswer: 19484846*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 20*w**2 + 17*w - 7*w.\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a + 1. Let g(v) be the first derivative of 4*v**2 + v + 10. Calculate 5*d(z) - 4*g(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 945 divided by 945\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40910169 is divided by 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m + 4, 3*m = -5*v + 3. Suppose 0 = -2*d - v - 2. What is the units digit of -2 - -12 - (d + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/4 - (8\/(-1) - -2)) + (-12)\/(-16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 6*q**2 - 49. Let r be z(-7). Let d = r - 531. Is d a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2. Let v(a) = -5*a - 27. Let c(u) = 4*p(u) + v(u). Let g be c(-17). Let m = -22 - g. Let b(k) = -5*k - 2. Give b(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(152)*-3 + sqrt(152) - ((sqrt(152) - sqrt(152)*2) + sqrt(152))*-1)\/((sqrt(64)*3)\/sqrt(8) + 4*(2*sqrt(8) - sqrt(8))).\nAnswer: -11*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1807799 and 13534?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84298829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) + -3 - sqrt(605)) + sqrt(5)*-4*6 + sqrt(5) + -1 + -1 + sqrt(125)*1)*2)**2.\nAnswer: 720*sqrt(5) + 6580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(84)\/sqrt(2))\/(sqrt(72)\/(sqrt(12) - (sqrt(36)\/sqrt(3) + sqrt(12))))*6.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122233, 244464, 366697, 488932?\nAnswer: 611169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1456, -1531, -1592, -1633, -1648, -1631, -1576?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 2*c + 2. What is the remainder when u(-3) is divided by (-3)\/(-24)*-2 - 68\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 59 - 81 = 0. Suppose 2*f = -3*f + q. Solve -f*r - 16 = -0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**6\/70 - 6*r**5\/35 - 3*r**4\/4 - 9*r**3\/7 - 9209*r. Let d(n) = 0. What is n?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 285*r**2 + 10272. Let j(t) = t. Calculate j(n(i)).\nAnswer: 285*i**2 + 10272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 516 and 357.\nAnswer: 61404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q - 669*q**2 - 148 - 140 + 677*q**2 + 288.\nAnswer: 8*q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2.9 (b) 20\/3 (c) 1\/3 (d) -5 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/6, -50, -40, -1\/4, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 3*y**2 - y + 2. Suppose -4*q + 240 + 104 = 4*a, -3*q - 5*a + 252 = 0. Suppose -q*p + 86*p = 6. Give s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300\/11 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let p(s) be the first derivative of 255*s**2 - 65*s**2 - 78*s**2 - 64. Give p(h(f)).\nAnswer: 448*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -k - 5*k + 228 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 56*s + 124. Calculate c(15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/2 - 5*j**3\/2 - 11*j**2\/2 - 3*j\/2 = 0. Calculate j.\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*f = 0, -82*k = -80*k - f. Solve s + 5 = -2*d, d + s + 5 = -k*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/33)\/((-2)\/(-3)). Let o be (k\/3)\/((-34)\/(-18) + -2). Suppose 2 = 2*y - 4*y, -o*y = -2*h + 225. List the prime factors of h.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3627154 is divided by 1259?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727*k - 1682*k**2 + 162*k + 2*k**3 - 125*k + 1682*k**2.\nAnswer: 2*k**3 + 764*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 1 - 10) + 6 - (-17 + -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(272)*2 + sqrt(272) + -2 - 3*(sqrt(272) + 2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddiiiiddidiiiidd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 5*n**2 - 2. Let x be d(-5). Let a(h) = -9*h**3 + 2*h**2 + h - 4. What are the prime factors of a(x)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 80. Let n be ((4\/b)\/((-1)\/(-4)))\/(-1). Let j = 9 + -9. Put j, -3, n in decreasing order.\nAnswer: j, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2 + 3)*-3. Suppose 2*g + 4759 = -3*c + 21588, 0 = d*g - 3. Suppose -1011 = -4*t + c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**3 + 851036*a**2 + 45266817596*a + 45265966564 = 0.\nAnswer: -106379, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1401 * -0.03669.\nAnswer: 0.041830269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 21 + 10 + -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*2*(sqrt(245) - (sqrt(245) + -1)))**2 + -2.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -11, -205, 5 in decreasing order.\nAnswer: 5, 4, -4, -11, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*h - 142 - 200 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 986*r = 982*r - 106, 0 = 2*x + 2*r + 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -741?\nAnswer: -74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b - 2*j, 5*j = -2*b. Suppose -4*v - 2*f = -18, 5*f = 5*v + 7 + 8. What is the smallest value in 1\/5, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**4 + 7*w**3 + 7*w**2 - 7*w - 8. Let t(o) = 10*o**4 - 6*o**3 - 6*o**2 + 6*o + 7. Let u(p) = -7*t(p) - 6*x(p). Differentiate u(d) wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534553699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 2*u**7\/35 + 43*u**6\/30 + 137*u**5\/15 - 127*u**4\/6 - 112*u**3\/3 + 868*u**2. Solve j(q) = 0.\nAnswer: -8, -7, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(-2*sqrt(9)*5) - ((sqrt(7) + (sqrt(63)\/sqrt(3))\/sqrt(3))*-6)**2.\nAnswer: -1008 - sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)*-1 + sqrt(88) - -2*sqrt(88)*-2)\/(sqrt(648)*1*-2).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:15 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 62976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23436*b*j**3*o - 112*b*j**3 - 17*j**3*o + 8*j**2*o - 2*j**2 + 204*j*o - 2*j + 2*o wrt b?\nAnswer: -23436*j**3*o - 112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -73\/3. What is the smallest value in 4, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 - 2*h + 3. Let m be v(4). Let q = 0.1366 - -0.0634. What is the closest to 0.1 in q, m, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413231 plus -0.6?\nAnswer: 413230.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30921165 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2830 and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 422 - 1?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486890, -1947562, -4382024, -7790282, -12172342?\nAnswer: -17528210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2. Let w(v) be the first derivative of -v**5\/120 + v**3 - 1. Let m(s) be the third derivative of w(s). Calculate m(c(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w**2 + 2*w - 24. Let l be r(0). Let g be (-56)\/26 - l\/12. Let v be ((-11)\/55)\/(-3*(-3)\/9). Sort 0.2, v, -5, g in increasing order.\nAnswer: -5, v, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 3*g + 0*g)*(3 - 3 + 2) - 2*g + 2*g + 3*g + (2 + 0 + 3)*(4*g - 5 + 5).\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (52 + -8)*(-162)\/(-4). Is p\/8 + (-2)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2314 + -2311. Which is the third biggest value? (a) 109\/2 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/6 and -39\/29242.\nAnswer: 87726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 105*j. Factor j*p - 1\/6*p**2 + 0.\nAnswer: -p**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (130 - 57 - 67 - 2*h)*(-h + 1 - 1) in the form o + z*h + w*h**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -82. Suppose -y + u = 6. What is the greatest common divisor of y and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3693979 greater than -3693979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 9*x + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 130617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 887669 and -7131.\nAnswer: 880538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 13400522283597?\nAnswer: -13400522283594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let m(p) = -8*p. Let g(u) = u - 1. Let t(f) = 3*g(f) + m(f). Let n be t(-1). Let y(i) = 1628*i - 1628*i + 25*i**n. Give y(b(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -986711*j**6 - j**4*y - j**2*y - 22*j**2 + 35*j*y + j + 14*y + 62 wrt j?\nAnswer: -118405320*j**3 - 24*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -6)*-1 - ((-130410)\/905)\/(-9)?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.8545 millimeters in meters?\nAnswer: 0.7078545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-47)\/(-5) - 2\/5. Suppose 2*v + 20*v = 22. Solve 2*t - v = -y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 6, -1, -2, -3 in decreasing order.\nAnswer: 6, -1, -2, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 - 67. Let u = 672 - 657. What is the remainder when c is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*-2*((sqrt(3) - (sqrt(3) - sqrt(27))) + -1))**2 + (sqrt(3888)*2)**2*6).\nAnswer: -373696 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**2 + 615.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 0.3 (c) -8\/7 (d) 0.18 (e) -6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. Suppose -1 + 9 = -g*q. Is ((-14)\/4)\/(q\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 2. Let n be 2\/10 + (-11)\/5. Let j be i(n). Is 87*((-4)\/6)\/j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, -276, 3, -2\/9, -0.496?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41110122*p**2 + 90220225*p?\nAnswer: 82220244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t\/t**(11\/4)*t))\/t)*t\/t**24*t*t assuming t is positive.\nAnswer: t**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0210541 + -0.021. What is l rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/54*4380\/10220.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4410 and 41727.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.36 - -0.14. Sort m, -4, 1.\nAnswer: -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 19189.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(2\/3))**15)**(2\/45))**(4\/3) assuming y is positive.\nAnswer: y**(8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79.47 and -1.23.\nAnswer: -97.7481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 5. Let d be -2 + (9 - o) - 1. Suppose 118 - 3 = d*h. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12184387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3968 divide 738245172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/2 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235007.555 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from {t: 1, m: 4, c: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 20*p - 153. Let c(v) = 17*v - 152. What is -7*c(q) + 6*y(q)?\nAnswer: q + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Suppose d*r + 1181 = -0*b + b, 3*b - 3543 = 5*r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.703 + -5.703. What is the nearest to 0.1 in 6, -4, 5, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 100 = -0*i. Let u = -10 + 27. What is the remainder when i is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728 divided by -364\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 33*x**2 - 121*x + 1762. What are the prime factors of c(37)?\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-2))\/d)\/((d*d**(1\/4))\/d))\/(d*d**1)**(-30))\/(d*(d**1\/d*d)\/d*d**(-2\/13))**18 assuming d is positive.\nAnswer: d**(2419\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 2, -10 in decreasing order.\nAnswer: 2, -10, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9873, -9977, -10081, -10185?\nAnswer: -10289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 479\/7 - 68. Let s = -0.3 - -0.4. Sort r, -0.3, s in decreasing order.\nAnswer: r, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10*-3)\/3 + 3. Let r = h + 247. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 17*k - 19. Suppose -i - 6*i + 196 = 0. Suppose -i = 6*o - 8*o. Is 7 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12736 divided by 32.\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 35*x**2 + 230*x - 5. What is w(-9)?\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18*1)\/((-34)\/136)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -84. Let o(k) = -k**2 - k + 1. Determine o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*f - 61*f + 552. Let a = f - 133. What is the remainder when a is divided by (-4)\/18 - 238\/(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1) + -2 + 6 + -1. Suppose d + 3*k = 94, -h*d = 3*k - 98 - 166. What is the smallest common multiple of 5 and d?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 695. Let f be t(50). Solve 5*v - 945 = -f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1050089 (base 12) to base 5\nAnswer: 1242333034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 724\/(-13937)*84\/144\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524725 (base 8) in base 6?\nAnswer: 13205421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 77, 316 in descending order.\nAnswer: 316, 77, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = -3*m - 60, -2714*m + 3*f + 9 = -2719*m - 122 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 38.9792. What is t rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 28593900\nAnswer: -7\/28593900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wuwwlwlu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 479*p - 2870\/3.\nAnswer: -(p + 2)*(p + 1435)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -36, -71, -118?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w - 2. Let j be l(-3). Suppose -j*f - 72 = -7*f. Let a = f - -26. Solve 3*v - a*v = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -532*k - 664*k**3 + 1548*k + 1066*k + 812*k wrt k.\nAnswer: -3984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**7\/105 + u**6\/25 + u**5\/25 - u**4\/5 - u**3\/15 + 3*u**2\/5 + 20*u. Let n(m) = 0. Calculate m.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.072 * 18256\nAnswer: 1314.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 2)*(-3 + 4 + 0)*(1 - 1 + 3)*(-4 - 2*l + 4 + 1 - 1 - l + (3 - 4 - 1)*(-4*l + 3*l - l)) in the form v*l + j and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = o - 4, -3*o + 11*d = 16*d - 14. Let g(f) = 50*f + 45. What is the units digit of g(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -37, 2, 20 in decreasing order.\nAnswer: 20, 3, 2, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:46 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1477632 - -258?\nAnswer: -1477363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 45 = 0. Let c be (21\/6 - -3) + (-4)\/8. What is the highest common factor of f and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let y = 65 + -48. Let j(p) = -16*p + 27*p - y*p. Let z = -31 + 34. Determine z*j(d) - 10*g(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 4. Let l(o) = 4*o - 4. Let s(z) = 5*c(z) - 6*l(z). Let j be s(0). Solve 8*i + 9 = 3*i + 4*y, 0 = 4*i + j*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47609 and 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 1, 29\/3, 0.77 in increasing order.\nAnswer: 0.2, 0.77, 1, 4, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -255913.\nAnswer: 255913","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1)*q))\/(q\/(q\/q**(-4\/5)*q))*q\/q**(-4\/5)*q**4 assuming q is positive.\nAnswer: q**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1532860, -3065717, -4598574, -6131431, -7664288, -9197145?\nAnswer: -10730002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 2450?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -35*u**3\/3 + u**2\/2 + 212*u - 63. Differentiate h(x) with respect to x.\nAnswer: -70*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17a5 (base 16) to base 14\nAnswer: 22c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b + 21*b + 12506 = 0. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 55\/10)*-22. Let v = 35 - w. Solve 0 = -2*s + 4*c + 22, -3*s - v*c - 2*c = -3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4, -167637 in increasing order.\nAnswer: -167637, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -11.93. Let u = f + 3.93. What is the second smallest value in 3, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.738 + 0.862. Sort -2\/17, -3, p, -1 in increasing order.\nAnswer: -3, -1, -2\/17, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 122, 83, 10, -109, -286, -533, -862?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 7*y + 5. Let v be f(-7). Let o be (3\/(18\/8))\/((-2)\/(-3)). Suppose 0 = -v*u - 5*q, 2*u + 3*q + o*q = 0. Solve u = 5*g - 3 - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*q + 195, 0 = -2*q + q - 5*r + 27. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 13*w - 9. Calculate the lowest common multiple of 4\/2*(-14)\/(-4) and b(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8759 = 4*u + 3*l + 21825, -2*u = 3*l + 15286. Suppose 4*h - 8 = 0, -8828 - 6219 = -n + h. Let k = u + n. What is k rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 11, -32.\nAnswer: -32, 1\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Let y be b*1*13\/(-26). What is the third smallest value in -0.4, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 9. Let b = 3.000002 + z. What is b rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-440)*(-561)\/34\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p**5 - 94*p**4 - 136*p**3 + 66*p**2 + 180*p = 0. Calculate p.\nAnswer: -3, -2, -15\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/2397691 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -1. Let m(q) = q + 7. Let j be m(-4). Which is the biggest value? (a) j (b) -2\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017784 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-18))\/((-2)\/(-369))?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8812365846 take away -0.5?\nAnswer: -8812365845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h. Let w(f) = f**3 - f**2 + h*f**3 - 2*f**2 - f - 4 + 0*f**3. Give w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 7*c + 7. Give b(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 761619 divided by 253873\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**4\/24 + 5*y**3\/3 - y**2. Suppose -5*n = t + 19, 7 + 32 = -3*n + 4*t. Determine p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-24) - (-10)\/84. Let i = 54056435\/248 + -217969. Let v = 1\/248 + i. What is the fourth biggest value in 4\/3, -1, v, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.782?\nAnswer: 2.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 58.999965. Round y to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10440 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (71 - 73) + -2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g*m**3 + 4*g*m*t**2 - g*t**2 - 7*m**3*t + 2*m**2*t**2 - 10*t**2 wrt g.\nAnswer: -4*m**3 + 4*m*t**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 39. Suppose -9*w + 8*w + m = 0. What is the least common multiple of w and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 + 0*j**4 - 5*j**4)*(-4 - 6 + 8 + (-1 - 7 + 1)*(-1 - 3 + 2)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 5*j - 16164. Let x(i) = 3*i. Give x(m(t)).\nAnswer: 9*t**2 - 15*t - 48492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 4. Suppose 2*d + 30 = -3*d - 5*q, -5*d = -4*q + 30. What is a(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 + 4*i. Let g(d) = -2*d + 8. Suppose -2*j - 2*y + 6 = 2*y, 5*j - y = 37. Let c be g(j). Give r(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + n + 2)*(-3*n + n**2 + 3*n + (-2*n - n**2 + 2*n)*(2 + 0 - 3) - 11 - 6*n**2 + 11) + (5*n**2 - 3*n**2 - 3*n**2)*(-91*n - 74*n + 88*n))*(n + 2*n - n).\nAnswer: 146*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736 = 65*m - 758 + 1517 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 13*m**8\/28 + 29*m**4\/12 - 31*m. What is the third derivative of i(j) wrt j?\nAnswer: 3120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 129 = 5*u - t, -4*u + 3*t = 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -188*f - 105. Is t(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/2)\/(-4) - -2. Let k be (-173)\/(-7) + 6\/21. Suppose 0 = -v + 2*v - 2. Solve f*d - k = -v*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-15)\/(-9)*3. Suppose -1144 = -4*x + 3*f, -3*f - 173 - 682 = -q*x. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(9\/15)*(59 - 65)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -5*b + 3*h, 3*b - 3*h = 97 - 22. Suppose -c + 5*z + 13 = 0, 0*c - 5*c = -3*z - b. Put -2, -6, 0, c in ascending order.\nAnswer: -6, -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o = 1377 - 1301. Let t(w) be the first derivative of 9*w**2\/2 + w + 4. What is t(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552 = 37*q - 257 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3071808 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 22554*f.\nAnswer: -3*f*(f - 7518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5026\/(-49) + (-12)\/(-21). Find the common denominator of 10\/(-55)*h\/(-72) and 19\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 809 - 819.49. Let d = s - -1.79. Let r = d - -3.7. What is the nearest to 1\/3 in r, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 4)*(g + 4 - 4)*(-1 + 2 - 5).\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3814409 + 6114409. Suppose 22*g = 2*g + x. Round g to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(0 + 2)*(-4 - -3). Suppose i = -3*r - 2*d + 14, -3 = -2*r + 2*d - 7. Suppose -l - 6 + 59 = r*x, 2*x = 5*l + 59. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/4749 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 483 and 24?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:59 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1. Let j(v) = -4*v - 60. Let g(x) = j(x) + 10*s(x). Let o be g(-13). Find the second derivative of 2895*q**2 - 2895*q**o + 30*q**5 + 9*q wrt q.\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 192.7 and -991?\nAnswer: -190965.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829*w**2 + 313*w + 157*w + 84*w + 94*w.\nAnswer: 829*w**2 + 648*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i**6)\/(i\/((i\/i**1)\/i)*i)**(-19) assuming i is positive.\nAnswer: i**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(325)*1*3)**2*-6 + 0)*1.\nAnswer: -17550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*a - 118. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 52*x - 211. Let t be w(4). Suppose -5*v + 25 = -10*v, 5*s + 65 = -3*v. Which is bigger: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = 5*f - s, 3*s - 60 - 8 = f. Let g be 50*10\/(-8) - 13\/(-26). Is g < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*j - 1621*j + 34960 = 0 for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 59*c + 6. Let m be y(3). Let i = 310 - m. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from uqquu?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -624353, -1248706, -1873059, -2497412, -3121765?\n\"Answer: -624353*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(10)\/(-2*sqrt(2)))**2 - sqrt(5)) + -5*(-1 + sqrt(5)*1 + sqrt(5))**2.\nAnswer: -405\/4 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 69\/55 + 8\/(-10). Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36.7? (a) 1\/882 (b) -0.6 (c) 1\/4 (d) 1 (e) 3\/5 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53426*u**3 + u**5 - 233*u**4 - 53426*u**3)*(-3 + 0 + 2).\nAnswer: -u**5 + 233*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Suppose 5*y + 0*d + 3*d - 1 = 0, 9 = l*y - d. Solve 3*i + 5 = -y*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 3*t**2 + t - 2. Let w be z(2). Suppose 4 - 7 = -l. Suppose -k - w = -l*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0*i + 0 + 1\/4*i**4 + i**2 - 1\/3*i**3. Let m be o(7). Calculate the highest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*h + 2309140 = 92*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 + 9*z - 7. Let h be l(7). Suppose 4*p = h + 463. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*5*(-4)\/(-40))\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7515413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93942 and 3707946?\nAnswer: 5526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037977 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**6\/3 + 2*b**5\/5 - b**4 - 4*b**3\/3 + b**2 + 2*b - 10. Factor j(l).\nAnswer: 2*(l - 1)**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 2 = 3*k - 4*w, -34*k - 58 = -5*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/3)\/((-10)\/(-15)). Suppose -325 = -0*t + z*t. Let v = -42 - t. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342994 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -6 - -4) + 8 - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 6:39 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10403 divided by -2\nAnswer: 10403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i. Suppose m = -6*m + 7. Calculate u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2056550.\nAnswer: 2, 5, 41131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 3, -0.21295, -0.042 in increasing order.\nAnswer: -0.6, -0.21295, -0.042, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*o + 3*d, -5*o - 3*d + 0 = 9. Let m(u) = 1688890*u**2 + 4*u + 2. Let q be m(o). Round q to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1812*o*q*t - 3991*o*q*z + 4*o*t*z + 3*q*t*z - q*z + 4*q + t*z - 107*t - z - 2 with respect to o.\nAnswer: 1812*q*t - 3991*q*z + 4*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59033 and 956?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(62 - 5 - 7)*(88 - 83*w + 165*w - 83*w).\nAnswer: 100*w - 8800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-52)*1856\/160?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.1 + 13. What is the smallest value in 2\/15, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/29, -0.3, -3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 51830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*n + 2884 + 13998 = 267*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 26*t - 916 = 30*t, 352 = 2*u - 4*t. Calculate the remainder when u is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 895, -4, 0.\nAnswer: -4, -2, 0, 2, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -786 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -168 + -11aa?\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 - 22*c - 151. Let x be l(-7). Let f(y) be the first derivative of 2\/3*y**x - 3*y**2 + 1 + 4*y. Solve f(m) = 0 for m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1900) - (sqrt(1900) - (-1 + sqrt(1900) + 2)**2))*-6 + 3).\nAnswer: 240*sqrt(19) + 22806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 11*s - 3. Let h be i(-6). Suppose h*d = -d + 144. Suppose 32*n**4 + n**5 - 4*n**3 - d*n**4 + 4*n**2 + 3*n**5 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(34)*-5)\/(-2*sqrt(6)\/sqrt(3)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 55 = -4*s. Suppose s = -m + 18. Does 4 divide 13 + (3 - m\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*x + 3184 + 5893 + 25419. Calculate the smallest common multiple of 539 and x.\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013623346 to 7 decimal places.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(2\/17)\/t)\/t)\/t)\/(t*t\/t**(-15)) assuming t is positive.\nAnswer: t**(-304\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + s + 7*s + 0 + (-2*s - 1 + 1)*(5 - 79 - 85).\nAnswer: 326*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:21 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 28 = 4*w + w, 6*w = -3*h - 30. Let a(x) = -9*x**3 + x**2 - 2*x + 1. Determine a(h).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2876.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -373*p + 7. Let c be f(-1). Let b = c + -376. Solve 0*j - 5*x = 4*j, b*x = -4*j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3*c**2 - 226*c + 7139. Calculate o(36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16125168.\nAnswer: 2, 3, 335941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3 - 13712*g**2 + 13714*g = 0.\nAnswer: -6857, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(3\/7)*l)))**(-25\/2)\/(l\/l**(-2))**5)**(1\/8) assuming l is positive.\nAnswer: l**(-635\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 i, and 1 u when four letters picked without replacement from hpupdguidphpggg.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 5:43 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(180) + (0 + sqrt(180))*4 + -2 + ((sqrt(180) + 0 - sqrt(180))*4 - (sqrt(180) + -2 + sqrt(180) + 0 + sqrt(180) + sqrt(180)))))**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + c**2 + 20*c**2 + 0.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1057 - -1379. Is -1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (1 - -2 - (-15)\/(-3)). Let s(r) = r + 20. Let o be s(0). Suppose -f*i + o = -25. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 2, t: 2, l: 2, v: 1, n: 1}. What is prob of sequence rv?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 12) in base 2?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 314601812 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 270079322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13916 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39 + -37 + (-298)\/60 and -149\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + i**2 - i**2 + (i + 2*i - 5*i)*(-3*i**4 - i + i) + (0 + 0 - i)*(-i + 3*i + i)*(i**3 - 3*i + 3*i).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**7\/630 + z**6\/36 - z**5\/20 - 13*z**4\/18 - 16*z**3\/9 + 6*z**2 - 247*z. Determine j so that f(j) = 0.\nAnswer: -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 21*o - 3. Let h be z(9). Suppose 6*d = d + h. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -757 + 937. Calculate the greatest common factor of 150 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {g: 1, f: 2, n: 1, c: 3, r: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 + d**2 - 31*d - 4*d**3 - 1 - 2*d**2 + 2 + 5*d**3 to g*d + m*d**3 + j*d**2 + q + z*d**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/12 - s**3\/2 + 9*s**2 + 13*s. What is the units digit of u(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2)\/(-12)*(-20)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -114575*k**2\/4 - 5041299*k\/2 + 44 = 0.\nAnswer: -88, 2\/114575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0 - 1\/3*v**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -413030\nAnswer: 19\/82606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*w**3 + (-4*w**2 + w**2 + 2*w**2)*(-w + 2*w + 2*w) + w**3 - 4*w**2 - 2*w**2 + 2*w**3.\nAnswer: 2*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + sqrt(1539) + -1 + -4)*3)**2*3.\nAnswer: -4860*sqrt(19) + 166887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 48 + 48. Let t be 4\/2 + (-1 - -1). Let b(z) = -3*z + 2 - t. Determine b(x(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 885\/(-708)*(-40)\/4*(-4)\/(-6)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/51)\/((-1)\/3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*b + 24, 2*b = -0*j - 2*j - 2. Solve s + 3*m = 0, 4*s + j*m - m + 10 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-3)\/((-6)\/16). Suppose r*b - 51 = 45. Let d(z) = 7 - 17*z - b + 0. Give d(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1db - -47345?\nAnswer: 47531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1418 or -1415?\nAnswer: -1418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:31 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -142. Let w = 45 - l. What is the smallest common multiple of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157066 = -2696*i + 970*i for i.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/13))\/(a\/(a\/a**(2\/17))))\/(a\/(a\/((a*a\/a**(4\/7))\/a))*(a\/((a\/(a*a**11))\/a))\/a) assuming a is positive.\nAnswer: a**(-17743\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -306, -466, -612, -738, -838, -906, -936, -922?\n\"Answer: x**3 + x**2 - 170*x - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 199*n**3 + 2192*n**2 - 17*n - 187. Determine l(-11).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/120 + d**5\/10 + 7*d**4\/24 + 2*d**3\/3 - 10*d**2 - 5*d. Let z(t) = -t**3 + t**2 + 4*t + 3. Let h be z(-2). Give s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 + 256?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 513815473 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f - 1. Let x(h) = 26*h**2 + 17*h + 5. Let y(b) = 5*v(b) + x(b). What is the second derivative of y(r) wrt r?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 920993*c*m**3 - 56*c*m**2 - 253*c - 123*m - 1530 wrt m?\nAnswer: 5525958*c*m - 112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 3\/2 (c) -96 (d) 1\/2 (e) -1\/17 (f) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j - 1. Let c(v) = 7*v**2 + 6*v - 7. Let n(a) = c(a) - 6*q(a). Factor n(o).\nAnswer: (o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 2*v + 8, -1890*v + 1891*v + 11 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 1 a when three letters picked without replacement from apkhahhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((2 + 0)*(-2)\/(-484)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2183, -2188, -2195, -2204?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -0.059.\nAnswer: 9.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s + 2*s - 4*s)*(38*s + 117*s + 59*s) + (s - s + 2*s)*(-3*s + 0*s + 2*s))*(2 - 1 + 0).\nAnswer: -430*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1665 - 1638. Which is the closest to x? (a) 1\/2 (b) -1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c + 117*c - 4 = b, 0 = 4*c - 5*b - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15074 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = 105. Let j = 291 + u. Suppose -5*a - 3*w + j = 0, -153 = -2*a - 2*a - w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/4 + 333*v**4\/2 - 8502*v**3 + 46996*v**2 - 91308*v + 59976 = 0. Calculate v.\nAnswer: -714, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*5\/((-5)\/9))\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 10*h**2 - 3*h - 25. Let o be z(11). Let g = o - 60. Suppose 2*i + 94 = -g*s + 8*s, -3*s - 4*i = -72. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 51529*b**7\/189 - 17479*b**6\/45 - 51073*b**5\/45 + 302*b**4\/9 - 8*b**3\/27 - 2*b - 583. Solve c(q) = 0.\nAnswer: -1, 0, 2\/227, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(1378\/195)\/106*51\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k + 30 = 3*d, k + 2*d = -35. Let n = 210 + k. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*(h\/h**(-2\/11))\/h*h*h**(-2\/29)*h*h**8\/h**14 assuming h is positive.\nAnswer: h**(-602\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/325)\/((-11)\/(1716\/(-456)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276\/(3 - 354\/114 - 2376\/(-18601)).\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 17*a + 711. Calculate i(-26).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7792.1172*5.\nAnswer: -38960.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11859 minus 0.0418?\nAnswer: -11859.0418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-44)\/20)\/(-11)*(6 + 6 - -3). Let b = -121 + 1090\/9. What is the nearest to w in -5, -3, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 385.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.5 (b) 4\/5 (c) -4\/665\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -27\/5531?\nAnswer: -27\/5531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12508083070 and 8.\nAnswer: -12508083062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 13*o - 5 = 0. Let l(k) = -2*k - 6. Let t be l(o). Let y(i) = 6*i - 7. Let d(x) = 4*x - 1 - 5 + x. What is t*y(w) - 5*d(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2. Let u be x(1). Suppose -u*j - 75 = -9*j. Suppose -4*k + k + j = 0. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 117 = 8*r - r, 66*u - 54*u - 2*r + 294 = 0 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358118.\nAnswer: 2, 3, 197, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -31\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18739 is divided by 368.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220000 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.8 and 51.\nAnswer: -805.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975373991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -31*a. Let f(j) = 72*j + 66*j - 206*j + 84*j. Calculate 11*f(p) + 6*i(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10 = -3*n, -10169980 = 3*o + 4*n. What is o rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.526 - 0.686. Let m be 2 + (16\/24)\/((-4)\/15). Which is the nearest to -1? (a) -0.4 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*f = -1582 - 1522 + 10444 + 5010 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**4*n*p + 42270*k**4 - 2*k**2*n - 19*k*n*p + 3*n*p - 499*p wrt k?\nAnswer: -192*k*n*p + 1014480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1267 - 526 + 279 = 85*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 1)*(-57)\/38. Let w(x) = z*x + 11*x - 12*x. Let d(a) = -a. Let r(s) = -4*s. Let o(v) = -6*d(v) + r(v). Determine o(w(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-164 - 88) + 140.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 77 + 96a6c?\nAnswer: 96ae4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.2 (c) 2473524 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1303*i - 10. Let l be k(-2). Let j = l - -4115. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * 1.1077.\nAnswer: -45.4157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 355 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1450057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 766.92 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 23 + q in the form d + n*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*t - 5*t. Suppose -9 = -t*i + 19. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 89, 174, 267, 368, 477?\n\"Answer: 4*z**2 + 73*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - 1*3*sqrt(98)) + (0 + sqrt(98) + -4 - sqrt(98)) + -2*(-4*sqrt(98))**2 + (-2*sqrt(98) + sqrt(98))*1.\nAnswer: -3140 - 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 8*z - 3. Let t(f) = -f**2 - f + 1. Let k(w) = s(w) - 2*t(w). Let g = -936 + 929. What is the tens digit of k(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1364 by 36.\nAnswer: 341\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1. Let q(p) = -31*p + 14*p - 7 + 24*p. Let w(v) = -6*d(v) + q(v). What are the prime factors of w(12)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 1, 0 in ascending order.\nAnswer: -4, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvuc when four letters picked without replacement from {u: 1, p: 1, h: 1, v: 1, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 11:18 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 2*h - 3. Let i(f) = -2*f**2 - 3*f - 4. Let s be 72\/33 + 4\/(-22). Let b(g) = -g**2 - 9*g + 7. Let w be b(-10). Give s*i(l) + w*m(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - 3) - (-5 - 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4 + (-5 - (-30)\/12). Determine w so that -x*w**2 + w - 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -114*y - 19. List the prime factors of n(-3).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 12 = -2*x + 5*x, -3*x - 2*i + 17 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*g - 2901 = 0, -2*g + 2910 = -3*i - 0*g. What is the common denominator of i\/20 + 4\/(-10) and 73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2807 + -2803. Let p = 18 + -12. Let d(g) = 4*g**2 - g**3 - 2 + p*g - 6*g. Give d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 582, 551, 504, 447, 386, 327, 276?\n\"Answer: d**3 - 14*d**2 + 4*d + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1006646.73 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 3262268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 517135 (base 10) to base 7\nAnswer: 4252453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1533fa (base 16) to base 15\nAnswer: 1c6ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*m - 1 + 15, 3*s + 5*m = -3. Let n = -41 + 176. Suppose -s*o = -o - n. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -457 + 449. Which is smaller: -82\/9 or v?\nAnswer: -82\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 455*b**3 + 7195*b**2 - 6745*b.\nAnswer: 5*b*(b - 71)*(b - 19)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39 and (-95)\/(-210) - -2 - -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 27*f - 729. What is the remainder when f is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248 + -259 - (-9 - 1) - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-152))\/(5\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4039977?\nAnswer: 3, 89, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let k(m) be the first derivative of m**5\/120 - 8*m**3\/3 + 13. Let i(f) be the third derivative of k(f). Determine -4*i(q) + 3*z(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -215*p**3 - 4*p**2 - 3*p + 2. Calculate m(-1).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 31. Let y = m + 38. Let h(n) = 6*n**y + 6*n**2 - 9*n**2. Let o(a) = 2*a**2. Give o(h(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 13 = 5*b. Solve -5*t + 4*i + 3 = 0, 4*t = t - 4*i - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -27. What is the closest to 0 in 3, -0.05, q?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 3 + -3 - (1 - 6). Suppose 3*j - 854 = z*u, j - 1402 = -4*j + 3*u. List the prime factors of j.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -411 - -505. Let f = 280 - 107. Let a = f - d. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - -6) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -62, -60, -60, -62, -66, -72?\n\"Answer: -c**2 + 5*c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 5 = 5*p + 3*l, 2*l = 5*p + 7. Let s = p - -4. Factor b - 1 + b**2 + 2*b**2 - s.\nAnswer: (b + 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*m**2 + 7*m**2 - 21*m**2 + 27*m**2 + 798*m**3 to b*m + a + f*m**3 + s*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-22)*x)\/x))\/x**(-2\/13) assuming x is positive.\nAnswer: x**(-284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 18*q + 192 = 0. What is the second derivative of -q*l**2 - 15*l**2 + 12 - 11*l**2 - l wrt l?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 19. Suppose 10*w = 5*w + z. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**27)**9)**(9\/5))**37)**(-2\/27) assuming a is positive.\nAnswer: a**(-5994\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(h**2 + 6*h**5 + 296 - 5*h**4 + 12*h**4 - 294).\nAnswer: 6*h**5 + 7*h**4 + h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:27 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = -0*l. Let u be (-5)\/((-20)\/8) - (l - 0). Solve 2 = -2*z - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(25*(-41)\/212175)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*k - 2*u + 1, k + 5 = 5*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -42.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 2\/3, 2\/7 in descending order.\nAnswer: 2\/3, 2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104591668 - 104591668 - 11*i**2 - 10*i**2.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8230?\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 14*x - 12*x + 2. Sort 1, x, -2, -5, -16 in ascending order.\nAnswer: -16, -5, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/11 - (0 + (-65)\/(-30)). Sort o, 0.77, -0.5 in decreasing order.\nAnswer: o, 0.77, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 - 115204*q**2 + 828402080*q + 15781255600 = 0 for q.\nAnswer: -19, 14410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/1 + 2835\/15066 and 20\/31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 2908451208984?\nAnswer: 2908451208990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 - 16*m - 4. Let n(y) = -3*y + 11. Let w be n(-4). Suppose w = -3*p - 5*l, -p + 4 = 5*l + 15. What are the prime factors of d(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (68 - 23) + -22 - (-30 + (1 - 4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**6\/30 - 7*n**4\/12 + 9*n - 19. Let v(d) be the first derivative of x(d). What is the third derivative of v(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 - 2*a - 3. Let x be w(-4). Let g = x - 26. Suppose -5*o = 14 - g. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*i - 3*o + 42, -55 = 5*i - 2*o. Let w be i\/15*((-8)\/3)\/(-4). Which is the smallest value? (a) 0 (b) -3\/2 (c) w (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 791*s**3\/6 + 885*s**2\/2 - 522*s. What is the derivative of r(m) wrt m?\nAnswer: 791","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 = f. Solve f*i + 25 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 60. Suppose 0 = -z + 17*h - b*h + 26, 0 = -4*z - h + 114. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -x - 4*x. Let k = 3 + 1. Calculate the highest common factor of k and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 + 11589?\nAnswer: 11651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11508310.\nAnswer: 2, 5, 11, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -203*r**5\/4 - 35*r**4\/12 + 7*r**3\/6 - 2*r + 1701. What is the third derivative of w(c) wrt c?\nAnswer: -6090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1766 - -10567\/6. Calculate the common denominator of h and -56\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -721*y**2 + 2458*y**2 + 846*y**6 - 2212*y**6 wrt y?\nAnswer: -163920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8725 or -43629\/5?\nAnswer: -43629\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (30 - 22) + 5 - -51?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25.3698 decades?\nAnswer: 253.698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*(n*n*(n\/(n\/((n**(-1\/5)*n)\/n*n)))\/n)\/n)**(-6\/19))**(-18) assuming n is positive.\nAnswer: n**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 33 = 75. Let g = -9\/110 + 2\/11. Find the common denominator of g and x*(-1 + 26\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a millennium in years?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 + -97. What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 3*o**2 - 3*o - 3. Let s = 1 - 4. Let r be y(s). Let l = -3 + r. Solve -3*k - l*h = 0, -k = -h - 3*h + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0285669 and 1?\nAnswer: -0.0285669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, m: 5, s: 1, z: 2}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qle when three letters picked without replacement from {q: 4, l: 2, p: 8, e: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let l = 4 + 2. Let z be o(l). Let i(k) = -k - 1. Let v(h) = 8*h + 8. Give z*i(j) - v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -264451\/5 < -52891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/13))**(-3)*l\/(l\/(l*l\/(l*l**(-7\/4))))*l**(-42) assuming l is positive.\nAnswer: l**(-2005\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(4*(sqrt(1331) + sqrt(1331) + -1 + 5) - 1*1*sqrt(1331)*-4))**2.\nAnswer: 105600*sqrt(11) + 4798005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7391409 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: Let b = -14 + 11. Let f be (-6)\/(-3) + (0 - 5). Let t be (-2)\/(0 + 10\/f). What is the smallest value in b, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/9)\/5 + (-21)\/42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1117 + 2348. Let x = c - 747. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 13*c**5\/20 + c**4\/4 + 23*c. What is the third derivative of o(z) wrt z?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 51) + 17 + 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6810 and -4.\nAnswer: 27240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/320 and -57\/1735120.\nAnswer: 6940480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525058549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 27*q + 2. Let v be s(2). Let g = -13 + v. Let a = g + -31. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-9)\/((-63)\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 49 = -17. Let p = 970 - 967. Solve l*j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:53 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -3*o + 247 + 606. Calculate the remainder when o is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 6. Let s be 0\/(-12) + 24\/(-2). List the prime factors of h(s).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13976*l**2. Let u(r) = -3*r**2 - 16*r - 60. Let y(g) = -g**2 - 4*g - 15. Let t(v) = u(v) - 4*y(v). Calculate t(o(d)).\nAnswer: 195328576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -20. Let w = v - 7. Factor 16\/5 - 2\/5*d**3 + 12\/5*d**w - 24\/5*d.\nAnswer: -2*(d - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-24))\/((-8)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.183 (b) -3\/8 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*g = 9*g - 476093, g - 238051 = -2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 1624 divide 9222696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150.07 - -149. Let y = -0.07 - i. Let q = 3 + -1. Do q and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 9909.\nAnswer: -4\/9909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 23*x + 24. What is u(11)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/41625 and -13\/291375.\nAnswer: 291375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11 - 12 + 23 - 5*c. Let w(r) be the second derivative of r**4\/6 - r. What is w(g(n))?\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 144538 to the nearest 1000.\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:08 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 688020 by 6.\nAnswer: 114670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*h + 7*h - 441 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26745 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427671.\nAnswer: 7, 203953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/9 - 926*n\/9 - 920\/3 = 0. What is n?\nAnswer: -460, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e9 (base 16) to base 14.\nAnswer: -26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -48*w + 276 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (41 - 236) + 0 + -6. Let m = u - -205. Solve -s + 0*s - 2*d - 4 = 0, s = -4*d - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 7*n - 5*n - 363, 2*n - 359 = 5*o. Suppose -28 = 7*d - n. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10*u**2 + 7*u**5 - 13*u**2 + 3*u**3 + 26*u**4 + 2*u**2 + 24*u**3 + 5*u**2 - 4*u = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5500847 and 4961?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r**2 + 3*r + 3. Let b be ((-8)\/3)\/(6\/(-9)). Let k be s(b). Suppose -2*a = 4*u - 260, -a + k = 3*u + 2*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/8883?\nAnswer: -2\/8883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 + 5*y**5 - 4*y**4 + (y**2 + 1 - 1)*(-3*y + 3*y + 3*y**3).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36330 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*c**2 + 69*c**2 - 113*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 105\/10*12\/(-21) + (-2512)\/(-418). What is the nearest to -0.1 in -0.4, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.8? (a) -1 (b) 48\/5 (c) 1796\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19224*z - 2*s + 6*s = 19217*z + 175, z + 7*s - 250 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 878*c**2*k**3 - 2*c**2*k**2 + 2*c**2*k + 1548*c**2 + 15*c*k**3 - c*k**2 wrt k?\nAnswer: 5268*c**2 + 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150 + 354312?\nAnswer: 354142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8387924 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1073 by 8.\nAnswer: 1073\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 6 = -15. Suppose m - 4 = -c*b, -5*b + 10*b + 2*m = 6. Solve b*z = 5 - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (0 - 20) - (10 - (13 + -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001068378 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 2726?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkbt when four letters picked without replacement from mkkkkmbbtmmt.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a4 (base 11) to base 10\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -254697?\nAnswer: 254695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u + 13*u + 5*u + 3*u + 21*u + 12*u.\nAnswer: 69*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1008644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2723 and 32287?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/42008 and -16\/199879315.\nAnswer: 1599034520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 2169 = 2792. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 18?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-4 - (-11 - -4 - -14)) + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139886 + -1625119.\nAnswer: -1765005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 38*w**3 + 68*w**2 + 14*w + 17. Let y(u) = 13*u**3 + 23*u**2 + 5*u + 6. Determine 6*h(k) - 17*y(k).\nAnswer: 7*k**3 + 17*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25.63 and -614.\nAnswer: -15736.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97 - -76) + (11 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 42*b**2 + 4*b - 4. Let s be a(-2). Let z = 266 - s. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 885340, 3541307, 7967890, 14165065, 22132808, 31871095, 43379902?\nAnswer: 56659205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2 + a + 1. Let d = -149 - -153. Suppose -5*y + 2*j + 12 = -0*y, 5*y - 4 = d*j. Give r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3815514 take away -26823384?\nAnswer: 26823383.6184486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5984 - 5971. What is the nearest to -0.1 in b, 1\/9, 122?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k\/(k**(1\/5)\/k*k)*k*k)))**(7\/6)\/((k\/((k**(-5)*k)\/k))\/((k*k**(2\/33))\/k)) assuming k is positive.\nAnswer: k**(-1267\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d + d - d)*(4*d - 5*d - 2*d) - d**2 + d**2 - 2*d**2)*(-4 + 106*d - 187*d - 5).\nAnswer: 405*d**3 + 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -25 (c) -572741\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3 and 1\/(-8)*((-136)\/6)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/12*(-2484)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9 - (-336)\/441.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 246 (b) 0.05 (c) 5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 36. Let f(x) = -x + 18. Let z(h) = -3*d(h) - 5*f(h). Let k(v) = v + 9. Let s(m) = 5*k(m) - 2*z(m). Give s(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 104.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (0 - (-8 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 19*g - 1220 = 0. Let p = -94 + g. Let m = 39 - p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20476 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 6. Let p(w) = 19*w - 402. Let r be p(21). Let a(d) = 11*d + 17. Give r*a(n) + 8*m(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -39, -80, -137, -210?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/15 + 2 - (-42)\/210?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**9\/3024 + m**8\/1680 - m**3 + 3. Let d(t) be the third derivative of k(t). Factor d(u).\nAnswer: -u**4*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29259585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 5*v**2 - v + 88. Let b be x(0). Calculate the greatest common divisor of b and 2552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 13680227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -5\/3 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 26*s + 17*s - 7*s**3 - 30 + 18*s + 100*s.\nAnswer: -7*s**3 + 121*s - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*g**3 + 10*g**2 + 4*g.\nAnswer: -2*g*(g - 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 14*j**2 + j - 12. Let p be b(14). Let w(s) = 2*s + 11*s**p - 3*s**2 - 9*s**2. Let a be (6 + -3)\/(1 - 0). Determine w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2736) - (sqrt(19) - (sqrt(2299) + 0 - sqrt(19))).\nAnswer: -2 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 491896663\/8842548 - -27\/66989. Let z = c + -688\/11. Find the common denominator of -101\/18 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5*o + 213 - 177, -2*o + 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14)*161\/(-92)*(-12)\/(-189)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 9. Let a be (-68)\/8*n + 2. What is the common denominator of -34 and (a\/56)\/(2\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -223\/173910 and 20\/6717.\nAnswer: 389384490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -7*j - 8. Suppose 0 = -n - j*m + 5704, 2*m = n - m - 5719. Round n to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52465533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/235527 and 15\/314036.\nAnswer: 942108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -176*x - 5\/18*x**3 - 1\/3*x**2 + 1\/9*x**4 + 1\/20*x**5 + 0. Suppose n(m) = 0. What is m?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 35. Let h be k(-14). Suppose 4*w - a - h = 3, -3*w + 19 = 5*a. Let n be w\/(-18) + (-1)\/(-6). Solve -i - i - f = n, 4*i = -5*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307977291 to the power of 1\/2, to the nearest integer?\nAnswer: 57515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 407763070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**2 + 17*x - 11. Let u = -67 + 78. Let t(b) = 7*b**2 + 6*b - 3. Let v(s) = -8*s**2 - 5*s + 2. Let k(n) = 4*t(n) + 3*v(n). What is u*k(l) - 6*a(l)?\nAnswer: 2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 2*u**2 - 2*u - 2. Let l be k(-2). Suppose l*r - 3 = 3. Let t(x) = -29*x**2 - 407*x - 10. Let i be t(-14). Solve -i*d = -r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-380)\/(-57))\/(2*(-2)\/(-78)). Let l = s + -131. Let w = 11713\/92 + -511\/4. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-119)\/102)\/((-20)\/(1560\/(-20566))).\nAnswer: -1\/226","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 + 200 = -5*t. Let z be (-23)\/(-7) - 2*4\/t. Solve 2*v + z = -7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 21 = 33. Let h be ((-4)\/(-14))\/(v*5\/(-30)). Put h, -5, 1 in decreasing order.\nAnswer: 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -13 + -15 + 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*16\/(-12). Let o = -2 + n. Let i(s) be the second derivative of s**4\/12 - 2*s**2 + 17*s - 1. What is i(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 7*u**2 + 18*u + 5. What is d(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (-2 + 3)*3. Let s(r) = -r**t + r + 14*r - 9 - 3. Let l be s(10). Calculate the highest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13835 + 13849. Solve -2994*f = -2996*f + q for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1428 = 12*v - 19*v. Find the second derivative of -v + 397 + 26*t - 189 + 199*t**2 wrt t.\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-153)\/(-21) - 4\/14. Let l = -5 + v. Solve -l*d + 3*d = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(2\/10). Suppose 63 + t = 5*d + 2*q, -2*q = -10. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 883 = 14*o + 673 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 1. Let h(x) = 112*x**2 - 8*x - 13. Let s(g) = 75*g**2 - 6*g - 9. Let u(i) = 5*h(i) - 7*s(i). Let y(t) = u(t) - 3*z(t). Determine y(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-47.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -533 + 536. Suppose -4*t = 5*b - 19, 0*b + 1 = t + 2*b. What is the nearest to t in z, 0, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/8, 70\/29.\nAnswer: -4, -1\/8, 70\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-21))\/((-1)\/21)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 3 - 31. Calculate the remainder when 19 is divided by ((w - -3)*-1)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -644, -1 in increasing order.\nAnswer: -644, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:44 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - g - 1. Let v(h) = -9297*h**2 - 4132*h - 4132. Determine v(y) - 4132*x(y).\nAnswer: -1033*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*a - 1 - 5, 5*v + 4*a = 35. Suppose 4*g + 2*o - 4*o = 198, 5*g - 220 = -v*o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51 and -287445405?\nAnswer: 287445354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46815603 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9681725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -657, -2325, -5595, -11001, -19077, -30357?\nAnswer: -45375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 274618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927928 divided by 1927928?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*j - 19 = 0, -5*r + 9 = -10*j + 7*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/313 or 1?\nAnswer: -5\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*o = 19847, 0 = 2*s - 2*o - 6924 - 1018. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. Suppose 4*z + b = 16. Solve 6*s - z*q + 15 = 2*s, 4*q + 5 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.4098 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n - 15*n + 6*n**2)*(-7*n + 2*n + 4*n) + 4*n**3 - n**3 - n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -548 + 547. Which is the biggest value? (a) -0.2 (b) 4 (c) -71 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 2*w + 2*w - w)*(w - 3*w - 4*w).\nAnswer: 6*w**3 - 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1)*((-99)\/132 + 33\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 10 = 2*f, -u - 38*f = -249 + 295 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*5\/((-20)\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 3*m + 0*m**2 + 0*m**3 - 1\/6*m**4 + 0. Let k(p) = -p + p + 2*p**2. Calculate k(l(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*d - 17, 2*z - 4*d + 15 + 1 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j + 1\/2*j**3 + 0*j**5 - 1\/35*j**7 + 0 + 5*j**2 + 0*j**4 + 0*j**6. What is the derivative of a(m) wrt m?\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 - 5*v**3\/3 + 7*v**2\/2 - 14*v - 18. Is z(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/32344972 and 125\/113207402?\nAnswer: 226414804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - 1) + 64 + -60 + -15 + 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42382.699 rounded to the nearest 10?\nAnswer: -42380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/7))\/j**7)**(-30)\/((j**(1\/3))**(-1\/63)\/(j**(2\/5)*j*j)**(-1\/49)) assuming j is positive.\nAnswer: j**(1020311\/6615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 16, p: 1, m: 3}. Give prob of picking 2 m, 1 p, and 1 v.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 2:30 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 704478733 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5712 is divided by 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7137 (base 8) to base 13.\nAnswer: -18a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 60 = -3*g. Let o be (-4 + g)\/((-6)\/(-69)). Sort -1, o, 1 in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 497 = -542 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18 - 11\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f. Let a be k(1). Suppose 5*n - a*v - 322 = 0, -7 = 5*n - 5*v - 327. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38393 is divided by 1919?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/3303 and -17\/36.\nAnswer: 13212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 73, -14 in increasing order.\nAnswer: -14, -4, 15, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22155 - -22219. Solve 4*u - 72 = -f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 31898103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/25, -0.5, 2 in decreasing order.\nAnswer: 2, 6\/25, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/2 + 3*b**2\/2 + b. Let g be (-175)\/(-125) + (-3)\/(-5). Suppose 0*r - g*s - 4 = 2*r, 3*s + 18 = r. Give o(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d + 5*h - 18 = 45*d, -d + 14 = 5*h. Let b(c) = -11*c**2 - 3 + 37*c**2 + 2. Calculate b(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1941041086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2910 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 + 3*s. Suppose -c + 11 = t + 1, 2*t = 2*c - 8. Let x be p(c). Let q = x + 1. Calculate the greatest common divisor of 110 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 u when three letters picked without replacement from nzunzzusuutt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from wwfwwfnwsff.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g - 3. Let c(z) = 8*z + 3. Let w(x) = -5*c(x) - 4*r(x). Let j(q) = q**2 - 11*q - 8. Calculate 3*j(t) - 8*w(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -15 - 13 - (12 - -20)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpgg when four letters picked without replacement from {g: 4, y: 1, p: 1, b: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-19144)\/((-8)\/1))\/(-1 + 2)?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y - 5*y + y**4 + (-10 + 5 + 36)*(y**4 - 3*y + 3*y).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93579636 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 229 = 5*w, 114 = -4*w + t - 65. Let y = -3 + 7. Calculate the remainder when (-4)\/(-6)*w\/(-3) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**8\/168 - 2*b**7\/105 - 117*b**2. Factor i(p).\nAnswer: -2*p**4*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-533.4.\nAnswer: -2133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 - 248\/(-14). List the prime factors of (l\/(-4) - -1)*-4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-33)*36\/60. Which is bigger: -2.674 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -40. Suppose l + 5 = -4*l, -l = -2*q + i. Which is smaller: -7\/3 or q?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7532 + -4471. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -876*d**2 + 2*d + 1. Let r be t(-1). Let i be (6240\/117)\/32 - (-1763)\/2. Let w = i + r. Calculate the common denominator of -38\/33 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 + -10?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -150, -243, -380, -549, -738, -935, -1128?\n\"Answer: 2*f**3 - 34*f**2 - 5*f - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 14 = -3*a - 2*o, 133*o = 4*a + 81*o + 56*o - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1264558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-25))**(-2\/131)\/(v\/v**7)**(-1\/50) assuming v is positive.\nAnswer: v**(857\/3275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*n = 6, 47*t - 870*n = -871*n + 100 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40320 - -1?\nAnswer: -40315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 22*x + 22*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 3058.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/5 (c) 94 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:25 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 103298, 206589, 309880, 413171?\n\"Answer: 103291*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 + 1. Let c be u(-4). Let x(w) = -w**3 - 4*w**2 - 4*w - 4. Let y be x(-3). Let r be (y - 32\/(-36))*-6. Is c > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 461, 1038, 1847, 2888, 4161?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 4833 = -8271. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 7. Let g be n(5). Suppose 3*q - g = -2*z - 0, z + 3 = 3*q. Solve z = m - 4 + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -9 + 12)*4\/6. Suppose 3*k - 5*p = -0*p + 42, 70 = 5*k + s*p. Let r = k + -13. Which is smaller: 2\/19 or r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*((sqrt(1053) - (-5 + 2 + sqrt(1053)) - sqrt(1053)) + sqrt(1053)*-2 + 1)*5)**2 + 3.\nAnswer: -135000*sqrt(13) + 5933124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5611255, -22445014, -50501281, -89780056, -140281339, -202005130?\nAnswer: -274951429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.58 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 1:26 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 5*m**2 - 6*m - 5. Let x be z(-4). Suppose x*h - d - 96 + 25 = 0, 2*d - 83 = -3*h. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1.5568?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1180\/767*3*91\/42.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:03 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/(1\/(-12)). Suppose 0 = 2*b - 7*b - h - 152, 0 = 4*b + n*h + 128. Let r be b\/(-4)*(-4)\/(-40). Which is bigger: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 2*k**6\/5 + k**4\/12 + 27*k**2 + 60*k. Differentiate v(n) wrt n.\nAnswer: 48*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23328\/(-20736))\/((-3)\/(-40))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 144*f - 2*o = -45*f - 17*f + 197, f = -5*o + 90 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 3*h**2 - 2*h + 4. Suppose -11*k = -18 - 4. Let i be o(k). Solve 6*f - 3*f - 5 = z, 0 = i*z + 2*f + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = -33*q + 29*q - 66, -q + 5*d = -9 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-20)\/(-360)*18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 5*p**9\/168 + 29*p**6\/120 + p**5\/20 + 209*p**3\/2 + 2*p**2 + 216*p. Find the third derivative of a(h) wrt h.\nAnswer: 1800*h**3 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**2 - 17. Let o be 2\/(-33) + (-40880)\/(-3696). Let h(g) = -3*g**2 + 6. Determine o*h(d) + 4*l(d).\nAnswer: 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62\/43 or 0?\nAnswer: -62\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 884?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 10*p**7\/21 - p**3\/6 + 16*p. Find the second derivative of u(f) wrt f.\nAnswer: 400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118.789 - -0.211. Let y = j + -111. Which is the third biggest value? (a) y (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44 - 28) + (-546)\/35. Which is the second biggest value? (a) -5 (b) z (c) 5 (d) -4 (e) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1134 or 1132?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6399361.\nAnswer: 17, 31, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-6 + -8 + -3 + 18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.03 + -0.03. Let v = r + -3. Let q = v - -5.2. What is q rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b + 175 = 5*y, 2*y = 5*b + 67. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 265299, 530556, 795769, 1060938?\n\"Answer: -22*b**2 + 265323*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48048 by 182.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uun when three letters picked without replacement from {n: 5, u: 4, z: 10}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 + -327 - (-8 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 - 0.21999769. Round k to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -952, -1906, -2876, -3868, -4888, -5942, -7036?\nAnswer: -8176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*((-2*n + n + 0*n)*(-2 + 1 - 1) - 4 - n + 4) in the form a + d*n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -2438819531.\nAnswer: -2438819530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times -1.2?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/60 + l**4\/24 + 53*l**3\/3 - 8*l**2. Let j = -47 + 47. List the prime factors of i(j).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 - 116 - (-15 - 2) - 47?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (31 - 13) + 2 + -5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14003.9 to the nearest one hundred.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 greater than or equal to -417293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 655085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -4.5. Let h = y + 1.2. Let j = 1 + h. Which is the second smallest value? (a) 0.5 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-2)\/8*4. Suppose 9 = 4*u - 15. List the prime factors of (-22)\/(-6) + q\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1\/3, -5, 3\/2, 0.4 in ascending order.\nAnswer: -5, 1\/3, 0.4, 3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/27 - (-773846)\/257292. Let q = z - -2\/7147. Find the common denominator of q and -87\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(15\/3)\/5. Suppose n + 112 = -q*v, -n - 1 = 1. Let c be v\/(-121) + (-4)\/22. Solve z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from lsjnmsi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9788 + 9788 + 3988*k to g + l*k and give l.\nAnswer: 3988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 3*w + 1. Let k be b(-2). Let d = 5 - k. Let v(s) = -s + 3. Let u be v(6). Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -80.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 19 = -5*g, -4*g - 8068 + 8060 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 7*s + 3. Let v(a) = -a**2 - a - 1. What is -d(k) - 2*v(k)?\nAnswer: 4*k**2 - 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19461 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.6 - -16. Let l = -0.4 + g. Which is the second biggest value? (a) -4 (b) l (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**4 + 10*g**3 - 5*g**2 + 5*g. Let a(c) = c**5 + 6*c**4 + 9*c**3 - 4*c**2 + 4*c. Let m(u) = 5*a(u) - 4*s(u). Solve m(x) = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249720 divided by 29?\nAnswer: -1249720\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1423 (base 6) to base 13.\nAnswer: -22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*u**2)*(15*u - 29*u - 31*u) + (4 - u - 4)*(2*u**2 + 2 - 2) + 0*u**3 + u**3 + 0*u**3 - 5*u**3 - 12*u**3 + 3*u**3.\nAnswer: 75*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19542, -39084, -58626, -78168, -97710, -117252?\nAnswer: -136794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2836 - -17017\/6. Let z(n) be the second derivative of -a*n**3 + 0 - 1\/2*n**2 + 13*n. What is the first derivative of z(h) wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/98)\/((54\/1620)\/(1\/(-5))) and 2*1 - 255\/(-42)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -31 + 29. Sort -5, k, -0.04, 0.3 in decreasing order.\nAnswer: 0.3, -0.04, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 6*j**2 + 6*j + 5. Let k be d(-5). Let t = -169\/21 - -25\/3. Is t less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.87 times -266989?\nAnswer: 766258.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 10*d + 17. Let a be g(12). Let u be -3 + 3 + (6 - 2). Let f be (-6 - (0 + 1)) + (0 - -4). Put u, a, 3, f in descending order.\nAnswer: u, 3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*f + 12, -2*y + y = -3*f. Let p be 3\/y*(-1 + 3). Let n be p\/(-3) - 40\/(-30). Solve 0 = -2*t - 1 - n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 17*d**2 + 13*d + 17. Let h be u(-18). Let m = 111 - h. Suppose 43 - 1 = 3*k. What is the lowest common multiple of k and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzbbembzzbtttbbz. What is prob of sequence zzb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 2038*x**2 + 6017*x - 179080.\nAnswer: (x - 8)*(x + 11)*(x + 2035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 9 - 2*o**4 - o**4 + 6*o**4 + 19*o**2 + 0*o**4 - 2*o**4 to the form j*o**4 + n*o**3 + i*o + w + q*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24772020 to the nearest integer?\nAnswer: 4977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*i = -107*i + 39498910. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = f, -2*f - x + 16 = 2. Let h(l) be the second derivative of 6*l**2 + 3*l + 0 - 1\/6*l**3. Give h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/52221140 and 121\/24?\nAnswer: 313326840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.48 + -18.52. Let c = y - -20. Let o = -19 - -18.8. What is the nearest to -2 in -1, c, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179637 divided by -3?\nAnswer: -59879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5545 + 20382. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-2*(-2 + (-165)\/18). Let p = l - 23. Which is the second biggest value? (a) 2 (b) 0.4 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.5 + 82. Let d = k - 43.9952. Let t = d + 0.49. What is t rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 4, a: 3, o: 4, m: 6, u: 1}. Give prob of picking 1 a and 1 i.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -2\/11, 4, -0.11, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29144, 0.2, -0.05?\nAnswer: 29144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*k - 1)*(-10 + 5 - 17) to the form x + p*k and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*b + 921005 + 820189, -3*a - 3*b = -1305888. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o - 20. Let d(z) = 1225*z**2 + 2*z. Calculate c(d(k)).\nAnswer: 9800*k**2 + 16*k - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175\/156 + 5\/39. What is the closest to 1\/3 in 1\/2, -5, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - -1*sqrt(104))*-6)\/((1*sqrt(80))\/sqrt(10)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 + -231. Round s to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3276 = 2*t + 3226, -12*g + 44 = t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -2 + 3 + 0. Solve 9*n = -4*q + 4*n - 35, -q + f = -3*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 528 divided by 176\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 146 = 610. Solve -6 = -s*k + 25*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q + 1)*(175*q - 11*q**2 - 175*q) + (-4 + 5 - 5)*(2*q**3 + 3*q**3 - 3*q**3).\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((11\/(-1))\/(83\/(-166)))\/((-4)\/(-5114)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2351*z**2 + 18834*z**2 + 1093*z**2 + 2975*z**2.\nAnswer: 20551*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 smaller than 5324\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 + 9.3. Let t = -397 - -397.4. Let u = t - v. Round u to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:01 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55111687354 less than 2?\nAnswer: -55111687352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 (base 10) in base 9?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85.94 + 84. Let k = -0.06 + f. Is k <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -1\/22 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, -2\/9, 4, -1\/6.\nAnswer: -14\/9, -2\/9, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**2 + 2. Let y(f) = -6*f**2 - 2. Let b(g) = -3*k(g) - 2*y(g). What is the derivative of b(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101000100111001 - 0?\nAnswer: 11000101000100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 4*y + 0*y + y + 6*y**2.\nAnswer: 6*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 greater than 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -123.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 46*o - 1171. Let c be b(26). Let s(w) be the second derivative of -c*w + 0 + 0*w**2 + 0*w**3 + 1\/4*w**5 - 5\/6*w**4 + 1\/6*w**6. Factor s(l).\nAnswer: 5*l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssbbb. What is prob of picking 3 b and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110927.01 months to millennia.\nAnswer: 9.2439175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 275, 277?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1364015 and 2\/5.\nAnswer: 1364015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/4 - 7*v**3\/4 + 27*v**2\/4 - 29*v\/4 + 5\/2 = 0. Calculate v.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:54 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Suppose l = 3*u - 4*u. Solve u = 2*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.095 + -0.005. Let t = 0.07 - 0.01. Let r = -2.94 - t. Which is the nearest to u? (a) r (b) -4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 6*d + 3. Let b = 27 + -23. Suppose -b*t - 7 = -23, 4*q = -t + 32. What is the units digit of o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 8*m - 9*m - 1409, 5*q - 1385 = -5*m. Is 46 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from xxmuuxum.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -293, 1\/4, 0, 3\/2, -0.2?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in -15, -2, 4\/55?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 61.3. Let t = p + 5.2426. Round t to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, c: 4, b: 6, r: 1, q: 2}. Give prob of sequence qorb.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16697\/12488 + 75\/56. Is -1 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343 - -1?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 168963?\nAnswer: 168963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*q + 107888 - 107786 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 5*s**2 + 9*s - 7. What is u(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58206 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2420320 and 880?\nAnswer: 26623520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-189)\/(-8))*(-6)\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 + 293*v**2 - 2696*v.\nAnswer: -24*v**2 + 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 - 2026?\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j, -u - 4*u + 21*j - 23*j - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15440ab (base 12) to base 16\nAnswer: 41eb83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 127 = 129. Let v(b) = 2*b**2 + 2. What is v(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.54 and -0.315135?\nAnswer: 5.8426029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13344950*q**2 - 582180 wrt q.\nAnswer: -26689900*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -16865 (b) 7 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -741 + w - 3590 - 414 to d*w + y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7904)\/95)\/26*5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3) - sqrt(75)*4) + 4)*-6.\nAnswer: -30 + 114*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m**2 + 160*m - 14. Determine w(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 3*i = 23*j + 158531, -j + 2*i = -158501. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 23*p - 817 = -51*p. Solve -5*q = 20, p*k = 16*k - 2*q + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4764548275 take away -3.8?\nAnswer: -4764548271.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 2. Let t be s(0). Suppose 0 = -t*a - 2*a. Let o(k) = -2*k**2 + k**2 + k + a*k**2. Determine o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-9) - 7)\/(10\/(-12)). Suppose -779 - 203 = -c*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -182\/3. Is -2 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 203*n**3 - 4*n**2 + 6*n - 1. What is the remainder when k(1) is divided by 183?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321230 + -111?\nAnswer: -322001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j - 112 = -41*j. Let o = 36 + j. Solve -3*k + o*k + 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**2. Let a(k) = -17*k - 9. Let x(j) = 8*j + 4. Let t be (-1)\/((-12)\/(-8))*(-54)\/4. Let o(w) = t*x(w) + 4*a(w). Determine o(c(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 16*u + 13*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 9*g**2 - 14*g - 8. Let a be r(-10). Suppose 2*j - a = j + 5*d, 5*d = -4*j + 28. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 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: Which is the fifth smallest value? (a) -1585 (b) 1 (c) -1\/11 (d) -5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)\/(i\/(i*i**(-1\/5)))*(i\/i**2)**(-36) assuming i is positive.\nAnswer: i**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8 + 2.8. Let s = -2\/11 - -28\/33. Let y = 453.9 + -454. What is the nearest to -0.2 in z, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164442 is divided by 54812.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020881758 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414 + 235. Let w be (-64)\/(-28) + 4\/(-14). Is n\/2*(0 - w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -134\nAnswer: -85\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 180119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(1584))*3.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*n - 1519 = 67*n. Calculate the least common multiple of n and 35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428013 by 19.\nAnswer: -22527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m**2 + 3 - 3)*(-4 + 4 + 1) - 2 + 4*m**2 + 2)*(6 - 4 + 11).\nAnswer: 65*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 11) to base 2.\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**3 + 38*s**3 - 3 + 42*s**2 - 97*s**3 - 8 + 33*s**3.\nAnswer: 5*s**3 + 42*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + (-702)\/(-171) - -5. Which is smaller: -34 or d?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 20*b + 103. Let t be l(9). Solve x - o - 10 = 0, x + t*o + 15 + 0 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {r: 1, z: 2, o: 1, q: 2, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7386 - -1200. What are the prime factors of h?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 50. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -105*l - 889. What is q(-13)?\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 831, -2\/17 in descending order.\nAnswer: 831, -2\/17, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6061 = 13*h. What is h rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -62*z + 643. Determine t(11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*q + 8 + 10 = 0, 0 = 2*l + 4*q + 12. Let m be 3\/l*12\/(-9). Is 7 a factor of m\/(2\/(-245)*-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a + 13*a**2 + 28*a - 17*a**2 - 9*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1425959233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*sqrt(76) + sqrt(76) + sqrt(76))*1*6)\/(sqrt(576)*-2 + sqrt(576) + (sqrt(4) - (sqrt(4) - sqrt(12)\/(sqrt(3) + sqrt(147))))).\nAnswer: -96*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 25*n. Let w(o) = 2 + 5 - 840*o + 2 - 8 + 867*o. Give h(w(d)).\nAnswer: 675*d + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3429 + 3434. Suppose 0 = -s + 2*x, -2*s - 2*x = 2*x. Solve 2*w = -4*f + 28, -f = -r - s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.95 - -0.05. Let s = i - 46.9. Let w = -4.2 - s. Which is bigger: w or 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 44 = 6*v. Let z = -1 - v. Suppose 80 = 3*h - z. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 3*q**2 - 203*q + 828. What is v(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/13))\/i)\/(i*(i**(-1)\/i)\/i) assuming i is positive.\nAnswer: i**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/(-30) - 10)\/(6\/90).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 36443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -798 to the nearest 10.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.032 and 13.55.\nAnswer: 0.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k**5 + 30674*k**2 + 822986*k wrt k.\nAnswer: -260*k**3 + 61348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-39 - ((21 - 36) + -2)) - -90\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85454, 2, 4, -1.\nAnswer: -1, 2, 4, 85454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 499877639?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 68*l - 5*l**2 - 5*l**3 - 69*l + 142*l + 8 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-9))**(2\/3)*(b**(-2\/25)*b)**37 assuming b is positive.\nAnswer: b**(2153\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 240*s + 226*s + s + 9*s + 4*s + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 6*p - 4. Let v(x) = -x**2 - 1. Let r(n) = q(n) - v(n). Let w be r(-6). Let g be w + 2\/3*-3. What is the closest to 2 in -1, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*o + 86, 2*o + 4*i - 36 = 50. Let b = o + -103. What is the common denominator of -95\/2 and 2\/10 - (-692)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177 and 37218970?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1234 (base 8) to base 7\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -18*m**2 + 13. Let i(z) = -2*z**2 - 3. Calculate 2*i(x) + n(x).\nAnswer: -22*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24\/17 - -188\/85. What is the second smallest value in -0.3, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d**2 + d. What is the remainder when b(1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*a - 2548 = -217*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 10 + 10)*(2 - 3 + 3)*(-24*q + 21*q + 61*q).\nAnswer: 2088*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -100.5 - -100.4. Let r = 21.6 - 20. Let o = -4.6 + r. Which is the nearest to f? (a) 6 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -20275*((-828)\/(-115))\/(-36) is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)\/((-10)\/4). Let i = -0.6 + -9.4. Let k = 6 + i. Put 1, k, n in decreasing order.\nAnswer: 1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 502 - 224. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 3. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 424 - 257. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34\/(-119)*1267*(-14 - (0 + 1))?\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**3 - 19*a**2 + 2*a + 331. Give j(-4).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 52585696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*q**2 + 5188 - 5188 to h*q + s + r*q**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107893, -107835, -107729, -107569, -107349?\nAnswer: -107063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k. Suppose m + m = k. Let v = 0.011 + -0.111. Which is the nearest to v? (a) m (b) 3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.93992l in millilitres?\nAnswer: 71939.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125172 minus 842827?\nAnswer: -717655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -16) + -5 + (-46 - (-15 - -13))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 5443*y**2\/4 - 76349*y\/4 + 267393\/4.\nAnswer: (y - 7)**2*(y + 5457)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7871, -63084, -212963, -504842, -986055?\nAnswer: -1703936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v**2 + v - 4. Let c(x) = -9*x**2 + x - 3. Let l(f) = -7*c(f) + 5*t(f). Give l(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(72\/5)*(-111)\/185.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142172669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 3)*(-2299*k**3 - 2386*k**3 + 1080*k**3) to z*k**2 + d*k + n + b*k**3 and give b.\nAnswer: -10815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 8 (b) 134 (c) 8.2 (d) -0.3 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 12*a**2 + 10*a - 39. What is y(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -21*f - 4. Let c(h) = 116 + 113 + 69*h + 95 - 259*h - 359. Give -4*c(r) + 35*p(r).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -371.00000175 + 371. Round t to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17\/3 (b) -0.11 (c) 467 (d) -68 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**0*l)**(-12) assuming l is positive.\nAnswer: l**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/19*(20\/90)\/(20\/45)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-25))\/((-4)\/(-70)). Let q = -8 - -15. Calculate the highest common divisor of d and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (6 - (-308)\/(-26))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**(-8))**(3\/11)\/(((h\/((h**(-1\/3)*h)\/h))\/h)**11*(h*((h**(2\/5)\/h)\/h)\/h)**2) assuming h is positive.\nAnswer: h**(43\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqktt. Give prob of picking 1 q and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 552992 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y = -89*y + 76. Suppose -1\/8*g + 0 + g**2 + y*g**5 - 15\/8*g**3 - g**4 = 0. Calculate g.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 579.84985 + -580.1. What is q rounded to three dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 25*g - 113. Give w(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 7*o - 1 + o)*(4*o**2 - 3*o**2 - 3*o**2) to the form s*o**3 + i*o**2 + d + r*o and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a factor of 1203646743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-274)\/8*8\/(-2). Suppose -9 = -3*d, y = 6*b - b - d. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*c + 637*c**2 - 1 - c**3 - 621*c**2 to the form u*c**2 + g + v*c**3 + f*c and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**2. Let o(c) = 4*c - 9. Give o(x(y)).\nAnswer: -40*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*a = -28957 - 5148 + 261 + 4698 for a.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 13 = 5*a, 2*i + a - 13 = 0. What is the lowest common multiple of 11 and 69\/12 - 3\/i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3386219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (1 + -1 - -2). Suppose 3*q + 15 = -c*q. Let m be (-21)\/(-14)*(-8)\/q. Solve -4*a + m = 4*h, 3*h - 4 = -4*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.378885 milliseconds in minutes?\nAnswer: 0.00015631475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and 13.11.\nAnswer: 24.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**4\/4 + t**3\/3 + 23*t**2\/2 + 6*t - 4749. Determine a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/118, -5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 91.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 133650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 0*v**2 + 0*v**5 + 0*v + 134\/3*v**3 + 0*v**4 + 37\/3*v**6 - 122. Find the third derivative of p(r) wrt r.\nAnswer: 4440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 96?\nAnswer: 7\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 13*i**2 + 12*i + 13. What is l(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 9 = 4*i - 4*g, 2*i - 4*g + 14 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 816 and 9840?\nAnswer: 167280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**4 - 2*c**3 - c**2 - 60*c wrt c.\nAnswer: -336*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*u - 34406 + 25406 = 0 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 5. Let d = -9 - o. What is the remainder when 27 is divided by (28\/10)\/((-2)\/d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55671 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbbdbddddbbd. What is prob of sequence bbb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 3*d. Suppose -3 = -t - d. Suppose -2*n + 28 = 2*n. Calculate the least common multiple of t and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 2, f: 1, d: 2, c: 1}. What is prob of picking 1 w, 1 d, and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5025, 4986, 4943, 4896, 4845, 4790, 4731?\nAnswer: 4668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 61573*r. Let a(f) = -9*f**2. Determine z(a(i)).\nAnswer: -554157*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(675) + sqrt(3) - sqrt(3)).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6250 divided by -5\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -191 in -2, 155\/4, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8702009 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18467b + -3?\nAnswer: 184678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3794789925.\nAnswer: 3, 5, 29, 193859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -o + 6, -5*o = r + 27. Let n be ((-70)\/(-8))\/r - -1. Let w be (8\/(-32))\/((-14)\/12 - -1). What is the second biggest value in n, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 566, 1984, 4792, 9464, 16474?\nAnswer: 26296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -5 (c) 256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 12. Let j = -1125 - -1129. Calculate z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-890)\/(-55) - -4 - 4\/22. Solve -3*n + f = u, 2*n - n = 4*u - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -132. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z - 3. Let i(c) = 8*c**2 + 17*c - 138. Determine -7*d(a) + i(a).\nAnswer: a**2 + 3*a - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, q: 4, f: 2}. What is prob of sequence qfqf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -468 not equal to -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/3273 and 5\/12?\nAnswer: 13092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c. Let q(x) be the second derivative of 162*x**3 - 47*x - 11. Give g(q(f)).\nAnswer: -14580*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = -3*w. Let n = -11 - -17. What is the lowest common multiple of w and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let n(u) = 2*u**2 + 39*u - 21. Let x(t) = -n(t) + 2*y(t). Let m be x(-21). Put -3, -5, m in increasing order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -12 + 27. Let i(u) = u - v + 3. Let n(z) = z - 2. Let g(q) = q - 1. Let r(w) = -2*g(w) + n(w). Give i(r(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.2042 and 384.\nAnswer: 381.7958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(40)\/(-4*sqrt(8))))**2 + (sqrt(432)*4)**2.\nAnswer: 6960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 39928*v\/5 + 478848\/5.\nAnswer: 2*(v + 12)*(v + 19952)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13805384.\nAnswer: 2, 677, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 19009*b + 4439. What is the thousands digit of k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(78)*-1 + sqrt(78) + -3*sqrt(78)*-1)\/(sqrt(216)*-3 - 3*sqrt(6)*5).\nAnswer: 7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 395, 3117, 10507, 24899, 48627?\n\"Answer: 389*v**3 - v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765235 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.007 - -0.307. Let y(l) = 7*l**3 - 2*l**2 + l + 2. Let f be y(3). Let s = f - 883\/5. Which is the closest to 0? (a) s (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7042*a + 18*a**3 + 7028*a + 97*a**3 - a**2 - 27*a**3 as l*a**3 + u*a + w*a**2 + q and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(3\/(-4)) + 4. Let z(r) = -8*r + 4. Let g be z(t). Find the common denominator of 71\/20 and (g\/(-16))\/((-12)\/15).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 132. Let d = 6\/19 - 68\/95. Put 5, j, d in decreasing order.\nAnswer: 5, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(((-40)\/(-16))\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 9\/4*i - 3\/4*i**3 - 3*i**2.\nAnswer: -3*i*(i + 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - 98. Let d be 36*(-2 - (-11)\/4). Suppose 5*r = b - d, -b + r + 53 = v*b. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(6)\/sqrt(3))**2*1 - sqrt(8)\/(sqrt(36) + sqrt(4))).\nAnswer: -3 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124126.\nAnswer: 2, 53, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2649, 5304, 7959?\nAnswer: 10614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -1 + 0 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - q - 20. Suppose q*s = s - 29610. Round s to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35347.\nAnswer: 13, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 18 - 20*t - 19 - 15 + 10*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 3. Let u(z) be the third derivative of z**3\/3 - 87*z**2. Determine 4*f(i) + 7*u(i).\nAnswer: -4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48.62 - -0.62. Let l = y + 47.9974. What is l rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/639274 and 77\/30.\nAnswer: 9589110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6924 divided by -228\nAnswer: 577\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -184052\nAnswer: 920260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6756?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-12 - (3 - (-10 - (4 + -12 - 82))))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7 + 12\/7*i**2 - 24\/7*i - 2\/7*i**3.\nAnswer: -2*(i - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 m, and 2 h when four letters picked without replacement from {f: 4, d: 1, o: 1, h: 6, m: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in 0.05, 2, -1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 - 187881*y\/5 - 10712466\/5.\nAnswer: (y - 187938)*(y + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millennium in decades?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**6\/240 + 3*p**5\/40 - p**4\/2 - 38*p**3\/3 + 22. Let o(r) be the third derivative of g(r). Factor o(h).\nAnswer: -3*(h - 4)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2027 = 7*f - 95. Let g = f - -291. What is the second smallest value in 3\/5, 4, g, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5385510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 - 19325*f**3 + 24922755*f**2 - 10758116655*f + 42634938060 = 0. Calculate f.\nAnswer: 4, 1287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 25 = -s, -6 - 48 = 2*s + 2*d. Let l = s - -44. Suppose -4*q + 55 + 3 = 2*v, 4*v = -4*q + 52. Calculate the highest common divisor of q and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -1, -5, 1 in increasing order.\nAnswer: -5, -1, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 - 2*g**2 - 12655*g + 282885.\nAnswer: 6*g**2 - 4*g - 12655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -1838 (c) 20 (d) -2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9179 divided by -5.\nAnswer: 9179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*s + 136, 2*s + 68 = 4*s - 3*i. Let q be (-4)\/5 - (-8349)\/605. Suppose -q*h = -11*h - s. Calculate the remainder when 31 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*z + 1, 0*t = 3*t + 3*z + 6. Let p be t\/((2 - 3) + 2). Which is the third biggest value? (a) -0.2 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*a + 112, -3*u - 109785 = -3*a - 109881 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 6*n**2 - 2*n + 4. Let i be u(-6). Calculate the highest common factor of 176 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 1305*d**2 - 3924*d.\nAnswer: d*(d - 1308)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5142*a**2 - 11*a - 4701. Let x(l) = 3427*l**2 + 7*l + 3133. Let k(s) = 7*m(s) + 11*x(s). Find the first derivative of k(h) wrt h.\nAnswer: 3406*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:14 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -5) + -3 - -40. Let h = -39 + m. Is ((-33)\/9)\/(h\/(-87)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28 + (-17 - 16))*(2617 + 0). Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1917467\/471984 + 2\/29499. Calculate the common denominator of -7\/22 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*15\/180?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*t - 20, 4*o - 2*t = 11 - 105. Let p = 362 - 338. Let q be ((-6)\/p)\/((-21)\/o). What is the nearest to 2\/7 in q, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 - (46920\/364)\/(-17). Let i = h - 51\/7. Find s such that 0*s + i*s**4 + 0 + 1\/7*s**3 - 2\/7*s**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527792691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 28, 2, -3 in descending order.\nAnswer: 28, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*y + 2*y + 5, s + 14 = 4*y. What are the prime factors of 3*1 + s + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5867 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 1, b: 1, x: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 3. Let k be (-514)\/(i\/(-3)) - 4. What is the highest common divisor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {p: 2, q: 4, e: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2333 = -580*k + 15067. Solve -401*z - 6 = -396*z + h, -5*h - k = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29099370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2453405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19425?\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -349*g**4 - 163*g**4 - 35*g**4 + 3*g**4 - 2*g**4 - 2*g**4 - 2*g**3 + 2*g**3 + g**4 + (-2*g**3 - 2*g**3 + 2*g**3)*(-g - 2*g + g).\nAnswer: -543*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-7 - -15) + 429\/(-44))\/((-4)\/55504)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890136004?\nAnswer: 2, 67, 3321403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/935)\/(3\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 187*z**2 - 3*z. Let g(v) = 2067*v**2 + 9 - 2065*v**2 - 5 - 4. Determine m(g(f)).\nAnswer: 748*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - 55. Suppose -39*j = -m*j + 11082. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-220) + 6\/660*2. Let x = 0.7 + -1.6. What is the closest to 0 in f, x, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(1150\/(-20))*5)\/(5\/2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(60\/32*104\/(-78))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m - 36. Let v be (m - 6)*(-2)\/6. What are the prime factors of -38*(15\/v + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -570.280612 to zero decimal places.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54130*m - 54129*m + 3 - 3 + 0.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3472?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q*q)\/(q\/q**(-3\/7)))**(18\/7) assuming q is positive.\nAnswer: q**(324\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.66 and -11548.\nAnswer: -19169.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9485, -9464, -9441, -9416, -9389, -9360?\n\"Answer: r**2 + 18*r - 9504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20989 - -60018090.\nAnswer: 59997101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 28689?\nAnswer: 59\/28689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + o + 12 = -10*x, -5*x + 8 = 3*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -434, -848, -1256, -1658, -2054, -2444, -2828?\n\"Answer: 3*i**2 - 423*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 21895756*i**2 + 175166051*i\/4 - 43791513\/2.\nAnswer: -(i - 1)**2*(i + 87583026)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5)\/x)**(-1\/10)*(x*x*x**(-8)*x*x)\/((x**(-6)*x*x)\/x))**29 assuming x is positive.\nAnswer: x**(1537\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*i**2)*(-3*i - 20*i + i).\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5721 or -5628?\nAnswer: -5628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + i**2 + 4*i + (1012 - 702 - 1022)*(2*i**2 - 2*i**2 - 2*i**2).\nAnswer: 1425*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3993911943 and 581?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*0.1162\nAnswer: 0.012782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 105*t + 538. Give n(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 + -265. Let l = -4 + 4. Suppose -4 + l = -j. Solve -j*g + 23 = f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 55 = -4*w + 2*l, -2*l - 28 = -2*w. Let n(j) = j**3 - 14*j**2 + 18*j - 59. List the prime factors of n(w).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 37*b**4\/12 - b**3\/6 + 5*b. Let y(q) = -q**2 - 3*q - 1. Let a be y(-1). Is 8 a factor of z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 25*g**2 + 2*g. Let f be v(-2). Suppose 6*b - f - 366 = 0. Calculate the highest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 minus 0.4612165?\nAnswer: -32.4612165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5530)\/(-316)*(-12)\/28*-4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/52*24153*1. Let j = k - -21362. What is the common denominator of 47\/4 and j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.7 and -0.3.\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113170206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010982 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13458680 divided by 5?\nAnswer: 2691736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 261559 - -113?\nAnswer: 261672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*h = 3642178083 - 287095083. Round h to the nearest 100000.\nAnswer: -29700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266030190 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: What is -0.1 times 1588.2?\nAnswer: -158.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4576.48632 to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1405951 or 1405953?\nAnswer: 1405953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14767*c**2 - 14767*c**2 + 3*c**3 - 6 - 13*c**3 + 15*c**3.\nAnswer: 5*c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4740 and 2460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 1. Suppose -b = 4*l + 39, 3*l - 2*b = -l - 54. Let k(t) = t**3 + 14*t**2 + 28*t + 6. Let c be k(l). Let p = c + -60. Give y(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1)\/4*-10. Let h(i) = -i + 4. Let y be h(m). Let j be (-6)\/(-8)*1\/3. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + (-1 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*693\/51597*(-12)\/(-132)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 4*y. Let l(z) = -z. Let o(d) = 2*l(d) + x(d). Let h be o(-2). Let r = -8 - h. Solve r*v = -v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3437 + -3432. Solve -4*x - 2 = -3*x - 4*f, x - 16 = -v*f for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Let o = 4.3 + -11.5. Let x = -8.2 - o. What is the biggest value in x, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842*t - 178*t + 3 - 3.\nAnswer: 664*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 32941130 to the nearest 100000.\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10631741 is divided by 41693.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*y = -8, 0*v - v + 3*y - 12 = 0. Suppose n - 7 + 3 = v. Solve 2*t + 21 = 5*x, t - n = 5*x - 27 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, 116, 569, 1424, 2813, 4868, 7721, 11504?\nAnswer: 16349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-5*-1*sqrt(1188))\/((1*sqrt(18)*-1)\/(sqrt(600)*1))*5)**2.\nAnswer: 396000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 3. Let i(d) = 4*d + 8. Determine 2*i(l) - 7*y(l).\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 9*v**2 - 17*v - 4. Let i be w(8). Suppose h = 2*h. Suppose h = 5*g - g - 112. What is the greatest common divisor of i and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22316778 + -1.5?\nAnswer: 22316776.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*1*sqrt(832) - -1*(sqrt(832) + 1 + sqrt(832)))**2.\nAnswer: 80*sqrt(13) + 20805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 17 - 18)*(2*j - 39 + 46 + 94).\nAnswer: -46*j - 2323","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:21 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 - 147) + 2 + -8 + -4 + 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus -4193.9?\nAnswer: 4193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.7682 nanometers in millimeters?\nAnswer: 0.0000677682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 2. Suppose 5*c + 189 = 29. Let d = p - c. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:59 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -502061?\nAnswer: -2\/502061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3\/6 + i**2 + 5*i. Let t be v(6). Let z be t\/16 - (-1)\/4. Solve z*m - m = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-6 + 45\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*h**5 + 3*h**3 - 2002*h wrt h.\nAnswer: 1100*h**3 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 672, 2438, 5876, 11544?\nAnswer: 20000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - z**3 + z**3 + (-689 + 689 + 32*z**2)*(0*z**2 - 2*z**2 - 3*z**2).\nAnswer: -161*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*4\/(-8)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5846 - 0?\nAnswer: 5846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -17*h. Let y(z) = -15*z + 1. Let x(t) = -4*u(t) + 5*y(t). What is the remainder when x(-2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 + 104*x**2 + 36*x - 420. What is k(21)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2881*w**2 - 1217*w**2 + 1850*w**2 + 2138*w**2 in the form j + u*w + p*w**2 and give p.\nAnswer: 5652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w = -38*w - d - 2, 20 = -8*w + 2*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7027 (base 9) to base 11\nAnswer: -3942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4 + 12187*p**3 - 14147*p**2 wrt p.\nAnswer: -48*p + 73122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 4*t**6\/3 + 31*t**2\/2 + 12. Find the second derivative of n(o) wrt o.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 583483575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1955573 - -1.9.\nAnswer: -1955571.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-18)*19796 - -18*(-6)\/(-243). Calculate the greatest common divisor of g and 1300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63110 is divided by 2178.\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4798a5 - -a2?\nAnswer: 479987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*u**5 + 135035*u**3 + u - 13131492 wrt u.\nAnswer: 1560*u**3 + 810210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70029 and 7704696.\nAnswer: 716536728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 17. Give y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**12\/l)**(-4) assuming l is positive.\nAnswer: l**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.612 - 332.511?\nAnswer: -260.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Let n(c) = 3*c - q*c - 2*c**2 + 4*c**2. Let x(m) be the first derivative of m**3\/3 + 1. Calculate x(n(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 14 + 20 - 10*f - 2*f**4 + 0*f**3 + 3*f to the form j*f**4 + l*f**2 + p*f + n*f**3 + a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**3 - 12*v**2 + v - 13. Let a(q) = 10*q**3 - 18*q**2 + q - 19. Let j(n) = -5*a(n) + 7*z(n). Determine j(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13388)\/15*25\/(-75). Let u = t - 1457\/5. Let f = -37 + 72. Calculate the common denominator of u and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015698634 rounded to six decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 4, -1, 0 in descending order.\nAnswer: 73, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 72658337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.94 - 3.982. Let t = 0.0419512 + w. Round t to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238178161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3 + 15. Let i(a) = a**2 - 5*a + 9. What is the remainder when i(u) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219890 is divided by 109620?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1323*t**3\/5 - 417816*t**2\/5 + 15924*t - 3792\/5.\nAnswer: -3*(t + 316)*(21*t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*i + 6 = 0, 9 = v - 0*i + 4*i. Calculate the common denominator of 101\/6 and 110\/(-48) - (v + (4 - -3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.5. Which is the nearest to -0.1? (a) 5 (b) -0.04 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -59*n**2 + 0*n - 2 + 1\/60*n**5 + 1\/420*n**7 + 0*n**4 + 1\/80*n**6 + 0*n**3. Factor v(o).\nAnswer: o**2*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178? (a) 5\/3 (b) 3\/4 (c) 0.9 (d) 0.3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5. Let s = 13 - 13.1. Which is the third biggest value? (a) -2 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 2.02. Let q = s + 2. Let n = 629 + -626. Put n, 1\/2, q in descending order.\nAnswer: n, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 23*a + 307. What is f(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 743, 2958, 6639, 11786, 18399, 26478?\nAnswer: 36023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/135, -5, -3\/2?\nAnswer: -4\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -832\/49, 25, -0.4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/13 (b) -0.4 (c) -1.8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -637\/10541?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**7\/252 - k**6\/40 - 4*k**4\/3 + k. Let p(n) be the third derivative of v(n). What is the second derivative of p(w) wrt w?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let c(p) be the first derivative of p**5\/60 - p**3 - 4. Let y(i) be the third derivative of c(i). What is a(y(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012829 rounded to 7 decimal places?\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-280)*10\/(-28)*5?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.562 - 48.562. Let u = r + 46. Sort u, 0, 0.5.\nAnswer: u, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -199062893*m - 241520771 wrt m?\nAnswer: -199062893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 11*m**2 + 32*m - 25. Let b(a) = -a**3 - a. Suppose 4*k + 10 = 5*k. Suppose -42*f = -47*f + k. Let z(r) = f*x(r) - 6*b(r). Factor z(h).\nAnswer: 2*(h - 5)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635 and 1397?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323 divided by 1?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 184\/3*(1 - 213\/(-12)). Calculate the greatest common factor of g and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126988?\nAnswer: 2, 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 19. Let w be 2\/8 - (-4)\/z. Suppose -5*x + 5 = -w*x. Solve 5*l + f - 28 = 0, -3*l - 2*f + 22 = x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186888 - 186917.0013. Let n = -29 - b. What is n rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**4 - r**4 - 4*r**4)*(-r + 2*r - 3*r - 2*r + r + 2*r + (-4 + 0 + 6)*(0*r + 3*r - r) - r - 2 + 2 - r + r + r).\nAnswer: -39*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0948 + -199.8248. Let u = 200 + s. What is u rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9072903cm?\nAnswer: 9.072903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10926000 rounded to the nearest 100000?\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0)\/(2\/(-10)). Let k be ((-1)\/(-4))\/(3\/12). Suppose -p*n + 21 = k. Sort 0, n, -2 in descending order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -33.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 962291789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29585825 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1234618719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -3, 1443063 in descending order.\nAnswer: 1443063, 102, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (429\/9295)\/((-520)\/80*(-1)\/(-5)*3)\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*u, 3*v + u = -0*v + 9. Suppose -w + 6 = 2*m - 9, -5 = -2*m - 3*w. Let s = 7 + m. Solve -3*z + 23 = -v*y, z + 2 - s = 5*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(648) - (1*sqrt(648) - sqrt(648))).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64543487 is divided by 6544.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1667*v**2 - 993.\nAnswer: -3334*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 2, z: 1, g: 7}. What is prob of sequence tzp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 + -0.5. Let t = 7 - f. Let o = -459.3 - -458.9. Which is the fourth smallest value? (a) o (b) 2\/9 (c) t (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -9.18, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Let a be j(-7). What is the third derivative of 7*x**3 + 4*x**2 + 7*x**3 + 15*x**2 + 4*x**a wrt x?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, -5, -16 in increasing order.\nAnswer: -16, -5, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 + -124021?\nAnswer: -123414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -8 (c) -3\/35 (d) 3794\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/194, 0.5, 4\/3, -4\/5, 8\/353 in ascending order.\nAnswer: -4\/5, 3\/194, 8\/353, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 10*j - 3. Let i be q(-10). Which is the nearest to 2\/5? (a) i (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52069.\nAnswer: 52069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.6, -29, -14.\nAnswer: -29, -14, 0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (-7 - -14))*61482. What is d rounded to the nearest one hundred?\nAnswer: -61500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*(3 + -1). Suppose z*s - 3*m = 42, -4*s - 5*m + 66 = -8. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1406 + 1405.99999502. Round f to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -4443121314?\nAnswer: -4443121310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((10\/(-12))\/(230\/(-414)))\/(-1))\/(9\/60)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 11*v**5\/10 - 7*v**4\/24 + 2435*v**3\/6 + 1301*v**2 - 3. What is the first derivative of z(o) wrt o?\nAnswer: 132*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, -3\/7, 4\/7, 0.3, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 9*z. Let u(a) = 2060*a**2 + 2*a - 2062*a**2 + 2*a. Calculate -4*d(r) + 9*u(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40269 and -107\/198?\nAnswer: 2657754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5. Let y be -3*(4 + -6)*(-1)\/21. Let z = 12 - 15. Which is the closest to v? (a) y (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3760785224 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = -2*j. Suppose 4*t = -24, -23*z + 21*z - 20 = 4*t. Let u = 6 - 3. Put z, u, j in ascending order.\nAnswer: j, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 - 3*d + 5*d + 4 - 41 to the form i + w*d and give i.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3058 - 3057. Which is the second smallest value? (a) -3\/11 (b) v (c) -3\/7 (d) 3\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/18*(-3)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5243184 divided by -916\nAnswer: 5724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h + 1518. Determine c(109).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210 (base 3) to base 15.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biciuoicobibiuiipbio. What is prob of picking 1 p and 2 c?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*o - 8*o - 18*o.\nAnswer: -81*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 622430 (b) 2\/5 (c) -1 (d) -4 (e) -5 (f) 4 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:57 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42, -27, -12, 3?\n\"Answer: 15*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4416 and 1288.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46383.36 milliseconds to minutes.\nAnswer: 0.773056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, x: 2, a: 4}. Give prob of sequence xap.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/4 + 101076*y - 404301\/4.\nAnswer: -3*(y - 134767)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 = -878*o + 394 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 + w**2 + 7*w**2 + 0*w + 3*w**2 + 0*w + 2*w**2 + 2*w - 2*w + (2*w - 1 + 1)*(2 - 2*w - 2).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 23 = 5*k, 6*t + k + 43 = t. Find the common denominator of (-59)\/t + (-2)\/2 and 77\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*z + 8 + 18, 5 = -x + 4*z. Suppose -f - 2 = -x. Suppose -m + 4*v - 2 = -16, -f*m + 4*v = 10. Let r(l) = -2*l - 2. Give r(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 221*x**3 - 9*x**2 + 159*x. Let q(z) = -110*z**3 + 4*z**2 - 79*z. Let c(g) = -8*o(g) - 18*q(g). What is the second derivative of c(a) wrt a?\nAnswer: 1272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3901 - -99. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1846 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let l(a) = a - 1. Let v(d) = 3*d + 1. Let p(t) = -4*l(t) + v(t). Let i(g) = 7 + g - 2*g - 4. Let j(k) = -5*i(k) + 3*p(k). What is j(b(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404001303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = 37 + 11. Put 3, d, 0.04 in descending order.\nAnswer: 3, 0.04, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -563 or -577?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqaaqqqaqaqaqaqqq. What is prob of sequence aaqq?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -40. Suppose -32 + 2 = 2*w. Let c = w + y. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 34. Let u(j) = -7*j - 55. Calculate the remainder when 141 is divided by u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 260 + 2?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 12 = -q + g, 6 = 5*q + 2*g. Suppose q*j + 2*j - k + 1 = 0, 2*j + k = 9. Solve j*r + 2*r = -16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(1\/71)\/(y**1\/y)**(3\/32))**(1\/19) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39944 - 0?\nAnswer: -39944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 - 63*r**3 - 221*r**3 - 52*r**3 - 190*r**3.\nAnswer: -520*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:05 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7892 less than 243117410.1?\nAnswer: 243125302.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -140241 (base 7) to base 11\nAnswer: -18a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 905971626 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 5 - (-42 - -2))\/(12\/(-28))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2)\/(21\/236271) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayaamniay. Give prob of sequence nymy.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*n**2 + 32*n**2 + 32*n**2 - 2 - 6*n + 34*n**2.\nAnswer: -10*n**2 - 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/24 + 19*y**5\/12 + 50*y**4\/3 - 250*y**3\/3 - 139*y**2. Factor o(i).\nAnswer: 5*(i - 1)*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 55, 71, 85, 97, 107?\n\"Answer: -o**2 + 21*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 9\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + -14 + 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -817 + 8?\nAnswer: -80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 642553 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-434)\/(-62)*((-650)\/385)\/(-13)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5509\/3 + -5480\/3. Let f(h) be the first derivative of 1 + u*h**3 + 0*h - 31\/4*h**4 + 0*h**2. What is the third derivative of f(y) wrt y?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 9:43 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*-16.52\nAnswer: 16.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-17358)\/(-187) - ((-2)\/10)\/((-2278)\/(-2010))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -6, 86343 in ascending order.\nAnswer: -6, 39, 86343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -168*v - 19262. What is z(-122)?\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + (-2)\/1. Suppose 0 = 3*n + 3*j - 24, 0 = 3*j + 44 - 62. Sort -2, i, n in descending order.\nAnswer: n, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((42\/5)\/(-7))\/(42\/(-350)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezezzzzz. What is prob of sequence zez?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 2*u**2 + 4*u**4 - 1 + 4*u**4 - 6*u**4 + 5*u**3 to z*u**3 + i + w*u + k*u**4 + c*u**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - h**2 - 2*h**2)*(0*h + 0*h - h**2) + (h - 2 + 2)*(0*h**3 + 3*h**3 - h**3) - 3*h**4 - 3*h**4 + 8*h**4 + (-h + h + 2*h**2)*(-h + 2*h**2 + h).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Let s(p) = 3*p - 6. Let r(a) = 5*a - 9. Let i(n) = -5*r(n) + 8*s(n). Determine i(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76342720.\nAnswer: 2, 5, 61, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 6*o = 12, 3*o = -5*u + 24. Solve u*s - 4*g + 20 = 6, 12 = -s + 5*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {v: 2, h: 11}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -759 and -266681\/351 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-71 - -69).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 + 184 + -108 + -103?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3741840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -846 + 851. Suppose w - 321 = -2*m + 362, -3*w + 2016 = -r*m. List the prime factors of w.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b25 (base 15) to base 7.\nAnswer: -10214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -2\/3 (c) 0.07 (d) -5\/82 (e) 4 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(57) + sqrt(114)\/sqrt(2)*-1)\/sqrt(3) - ((3 + (sqrt(931) - (-2 + sqrt(931) - sqrt(931))))**2 + sqrt(931)))*-1 + -4).\nAnswer: 385*sqrt(19) + 4760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-4) + 4\/8. What is the second derivative of -m**4 + 2*m**q - m + 3*m wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 959188504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5087 = 188*i - 4125. Let p(w) = 5*w**3 - w**2 + 2*w - 1. What is the remainder when i is divided by p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 5 + 5 + z**2 + 4*z**4 - z**2 - z**4 - z**4 + 4*z**4 + (-3 + 2 + 0)*(z**4 - z + z) + 229*z**4 + 28*z**4 + 42*z**4.\nAnswer: 305*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i + 130. Determine x(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 232224144201?\nAnswer: 232224144141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 64) + 36 - (6 + -153)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -142?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9566 = -71*u - 8146 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-117)\/(-135)))\/(9\/9)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57134603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 166*p**2 - 291*p - 7618. Give z(168).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11044, -11356, -11910, -12706, -13744?\n\"Answer: -121*s**2 + 51*s - 10974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**3 + b**2 + 12*b + 11. What is x(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/240 - 7*o**2. Find m, given that u(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -278*u - 72. Let w(l) = -276*l - 56. Determine -4*k(b) + 5*w(b).\nAnswer: -268*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413470 is divided by 708?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 (base 7) in base 8?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - 2*sqrt(228))*4)\/(sqrt(243)*-1 + sqrt(243) + sqrt(12)*6))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and -0.36?\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q + 57 - 12. Let n be q + (-70)\/(-15) + (-10)\/(-3). Solve -n*m = -6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 21*g**5\/5 - 231*g**2\/2 - 45*g - 3. What is the derivative of f(x) wrt x?\nAnswer: 252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 21 = -r, 0 = -4*z + 5*r - 2*r - 23. List the prime factors of (6*z\/(-30))\/(1\/89).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 12 (c) -4976\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 + -2.92. Let v = 8.6 + x. Let y be (-12)\/56*(-8)\/6. Which is the third smallest value? (a) -3 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, -0.5, -5, 42, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 4:38 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-2)\/(-4))*178. Suppose 2*p + 51 = a. What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 3, -23 in decreasing order.\nAnswer: 13, 3, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -18 - (-2289 - -2194)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6197791*z. Let p be b(3). Let s = p + -7993373. What is s rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1337 + -1333. Suppose -v*o + 31 = 59. Let h(s) be the third derivative of s**6\/120 + 7*s**5\/60 - 5*s**3\/6 + s**2. Calculate h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 10. What is o(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 7 + 2*k**2 - 10*k - 4*k**3 - 2*k**2. Let s(d) = -2*d**3 - 3*d - 3. What is -6*o(c) + 14*s(c)?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3.3 (c) 0.1 (d) -547 (e) -0.2 (f) 0.0244 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13094 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q - q + 3*q)*(-52 - 100 + 84) + q + 0*q + 2 + q)*(3 + 2*q**4 - 3).\nAnswer: 140*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -20 - 4) + 49 + -37\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101565, 101567, 101569, 101571?\n\"Answer: 2*t + 101563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -86. Let b(r) = 62*r. Let z be b(m). Suppose -k - 147 = -3*o + z, 135 = o - k. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101000 + -220100210?\nAnswer: -220201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1097*f**3 + 28348*f + 1074*f**3 - 56758*f - 2*f**2 + 28410*f.\nAnswer: 2171*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-225)\/3*(-180)\/25.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 + 150 + (-9 + 1 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198540931.\nAnswer: 29, 233, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 6) to base 8\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + -3 + -12 + 1509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*j + 109*j + 2*l + 35 = 0, 5*l + 5 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2. Let a(x) = 5*x. Let y(f) = -2*f. Let v(c) = -2*a(c) - 2*y(c). What is k(v(s))?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7465177?\nAnswer: 1777, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 101 - 1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377.7699 micrograms to kilograms.\nAnswer: 0.0000003777699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -106*m**2 + 184*m + 56 = 0.\nAnswer: -14\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-30) - 5990\/(-75)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2 - 4*a**2 - 164*a**3 + 77*a**3 + 77*a**3 wrt a?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 2:47 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*c + 808 = 0, -2*m = 3*m - c - 2047. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -1\/2 (c) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2310658 grams?\nAnswer: 231065800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - 9.15. Let f = r - -3.52. Let h = f - -0.64. Which is the closest to -0.15? (a) 0.2 (b) h (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2897 is divided by (-116)\/261 - (-484)\/36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (1 - -5)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-4092)\/55)\/(-31).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-106)\/(122112\/540))\/(50\/(-80)*6\/(-5)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149684 and 16468.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -23*x - 1. Suppose 5*z + 16 = 4*h, 5*z = -h + 6*h - 20. Suppose 4*b + 3*v - 7 = 0, -5*v + h = 3*b - 3*v. What is the units digit of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 28?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-30)\/(-9))\/(188\/423). What is the nearest to -12\/5 in p, -1, 0.06, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 2*b**2 - 2*b + 1. Let d(q) = -16*q**3 - 12*q**2 - 73*q + 9. What is d(w) - 6*r(w)?\nAnswer: -10*w**3 - 61*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-10) + 4)\/((-2)\/15). Let w be (-52)\/(-12) + (-8)\/i. Solve -3*t - 29 = -w*v, -4*v + 25 = -t - 2*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74976486 divided by 2883711.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, -56, -61, -66, -71?\n\"Answer: -5*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287 + 245. What is the nearest to 0 in y, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*w**2 - 35*w**2 - 9*w**4 - 91*w**4 - 132*w**4 + 92*w**4 + (0*w**2 + 6*w**2 - 4*w**2)*(3*w - 3*w + w**2).\nAnswer: -138*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = 3196 - 63796. What is the remainder when h is divided by 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979918197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -7 + (1 - 3) + 19. Let y(b) = -b + 17. Let q be y(n). Let l(j) = 194 - 194 + q*j**2 + 2*j**2. Let d(c) = c**2. What is l(d(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 544450?\nAnswer: -544440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -466 greater than or equal to -3\/35750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 338356675 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730 is divided by 572.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10946179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36485, -36481, -36475, -36467, -36457, -36445, -36431?\nAnswer: -36415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7 = -95. Suppose 13*s + 62 = 257. Is p <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**1)\/x)**(3\/2)*(x**(1\/2))**22)\/(((x*x*x\/x**(-2\/15)*x)\/x)\/(x*x*x**(-1\/2))*(x**(2\/15)\/x)\/x*x\/(x*x**(1\/4)\/x*x)) assuming x is positive.\nAnswer: x**(779\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2382, -3100, -3818?\nAnswer: -4536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000640398?\nAnswer: 2, 22283, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 538357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38745 (base 14) to base 12\nAnswer: 68289","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.139 + -58.861. Let m = 58.999714 + j. What is m rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3249 + -0.1249. What is the fifth smallest value in 1.5, -2\/35, 5, a, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, i: 8, x: 2, m: 2}. What is prob of picking 1 m and 3 i?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100011100001110 (base 2) to base 6\nAnswer: -220114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3951629\/8 + 492664. Suppose -u + 1292 = d, -5*d - u + 6460 = u. Let b = d + z. Find the common denominator of b and 113\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9472305959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-6)\/4*((-24 - -16) + (-12760)\/6)?\nAnswer: 9606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 times -0.22\nAnswer: -22.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.700418 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 - 112. Solve 15 = g + m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 7*w - 2*w + 8*l + 21 + 60, 3*l = -9 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -20456?\nAnswer: -20455.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + 7.4. Let s = 740 - 741. What is the closest to s in k, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 500 = -4*x, -557 + 547 = 2*x for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 607, 733, 857, 979, 1099, 1217?\n\"Answer: -d**2 + 129*d + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106113\/(-558) + 61 + -5*(-4)\/120?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 5*q + 2. What is s(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddppduupuupdppdp. Give prob of picking 2 p, 1 u, and 1 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26468934 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let o(g) = -3350862*g**2 + 1. Give o(z(q)).\nAnswer: -3350862*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**4 + 6*i**3 - 12*i**2 - 4*i. Let x(g) = g**4 - g**3 - 2*g. Suppose -4*c = 2*d - 10, 7 = c - 3*d + 15. Let r(q) = c*l(q) + 6*x(q). Factor r(j).\nAnswer: j*(j - 4)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 q when three letters picked without replacement from {d: 3, q: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (4 + -3 - (-1)\/1). Let u(r) = -4*r**2 - 4 + 3*r**2 + 89*r - 74*r - 2. What is the remainder when u(a) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110122 is divided by 1323.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 149*y**2 + 1250*y - 1400.\nAnswer: (y - 1)*(y + 10)*(y + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1459.809 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1920, 5385, 10382, 16917, 24996?\nAnswer: 34625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -8. Let k = 33 + g. Let o = 187\/4 - k. Which is the smallest value? (a) o (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692483 is divided by 229376?\nAnswer: 4355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/5 - -78\/55. Let q = -5\/88 - d. Are q and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5024244 (base 7) to base 16.\nAnswer: 91275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 3 + 2*u**2 + 1)*(-84615709 + 8334*u + 84615709) to i*u**3 + a*u + y + m*u**2 and give i.\nAnswer: 8334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17857.482 rounded to the nearest 100?\nAnswer: 17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321 + -639. Let l = -5163.779 + 5481.63. Let p = l + i. Round p to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.09 - 0.09. Let z be ((-54)\/(-2140))\/(36\/(-936)). Let s = z - -6\/107. Which is the smallest value? (a) s (b) 2 (c) v (d) 1\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9671*j**4 + 346*j**3 - 64*j**2 + 1150*j wrt j.\nAnswer: -232104*j + 2076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 15.2. Let k = -3 + b. Let w = -170\/69 - -95\/23. Sort 1, k, w in decreasing order.\nAnswer: w, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113926 + 17669 = -7*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.103 and 3?\nAnswer: -3.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 3*u - 6. Let h be s(7). Suppose 5*r - h = 8. What is the remainder when 9 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/4 - 27897*p**3\/4 + 6362505*p**2\/4 - 351960987*p\/4 - 364797561\/2 = 0. What is p?\nAnswer: -9523, -2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -97, -218, -337, -454?\n\"Answer: n**2 - 124*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(-2 + ((-1 + sqrt(1053))*-5)**2).\nAnswer: -131743 + 2250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 26 + 9 = -5*o, o = -5*w + 17. Suppose -2*l - 15 = w*v + 1, -19 = 3*l + 5*v. What is the third derivative of 6*g**2 - 9*g**2 + g**6 + g**l wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 51?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.31 - -0.59. Let y = l - 4.1. What is the closest to 1 in -2\/3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -2*(-5 + 3) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:03 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s. Let y(q) = -12*q**2 - 4*q. Let t(l) = -4*d(l) - y(l). Let r(g) = 21*g. Give t(r(u)).\nAnswer: 3528*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/77*(3 - 1). Let k be ((-8)\/(-20))\/(33\/135). Let -12\/11*p - y*p**2 - k = 0. Calculate p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 11*n**3 = 0. What is n?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1476 = 22142\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 184 and -1048?\nAnswer: -192832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 - 1)*(1 + 3 - 2) - 1 + 1 + 3 + 2 + 3 - 4)*(8*z - z - 52*z) in the form l*z + k and give l.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 17, k: 3}. What is prob of picking 3 k and 1 u?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6510 - -6509.99999574. What is z rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 17*j - 46. Let l be v(15). Let r(a) = a**3 + 19*a**2 - 2*a - 31. What is the remainder when r(l) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i*i*(i*i**(-1)*i*i)\/i*i)**(-15\/7) assuming i is positive.\nAnswer: i**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwsc when four letters picked without replacement from {x: 2, c: 2, w: 1, s: 2, k: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2) + (-51516)\/(-8).\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-14)\/28)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -67. Let n = 2308831846.99999942 + -2308831867. Let x = n + u. Round x to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 100, 180, 286, 424, 600, 820, 1090?\n\"Answer: b**3 + 4*b**2 + 41*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -568, 7, -3, -5 in decreasing order.\nAnswer: 7, -3, -5, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-226)\/(-1) - 4) + 5 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 8 - 6303*z - 24.\nAnswer: -6303*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (36\/14)\/(-3)*35035\/3003\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13031320101 (base 4) in base 6?\nAnswer: 104314333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1741 (base 8) in base 4?\nAnswer: -33201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - 3b5c?\nAnswer: -3b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50174 is divided by 1794.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7935?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 13. Let p be (-72)\/42 - (-26)\/(-91). Let r(l) = -l - 1. Determine p*r(d) - b(d).\nAnswer: d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30121035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-30)*(-2)\/3*-3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410111.4 to the nearest 1000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 625 (b) -4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 382402997171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(76\/(-8) + -3). Suppose 6*i - i - z = 0. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4310*q + 193. What are the prime factors of n(-2)?\nAnswer: 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -178*s - 819 wrt s?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.113 * -26\nAnswer: 2.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93751 greater than 93751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102201122 (base 3) in base 12?\nAnswer: 4b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65456 times -0.2\nAnswer: 13091.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/64 - -43\/320. Let z(l) be the second derivative of 0*l**2 - o*l**5 + 0*l**4 + l + 1\/3*l**3 + 0. What is the second derivative of z(x) wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2704 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.90279586 to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -w, 1616*w - 1613*w = -c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0, 5, -4, -826, 2, -3 in decreasing order.\nAnswer: 5, 2, 0, -3, -4, -14, -826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190.7 - -186.7. What is the closest to b in 4, 5\/3, -7\/3, 5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1893 = -5*g, -g + 9*w - 11*w = 377. Let n = 390 + g. Solve 2*c = 4*p - n - 9, 3*p - 15 = 2*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199176 is divided by 13616.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 386774452, 386774453, 386774454, 386774455, 386774456, 386774457?\n\"Answer: y + 386774451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -5.\nAnswer: -147\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 882053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykqk when four letters picked without replacement from kkkqykykkee?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 5*r - 2. Let t be f(-4). Suppose -6*w = -88 - 140. Let x = w + t. Solve y = -x*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 4*x**3 + 13*x + 0*x**4 + 0*x**6 + 0 - 1\/7*x**7 + 0*x**5 + 0*x**2. Find the second derivative of g(i) wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1641566364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.397 + 1.603. What is the closest to 0 in l, 48\/23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 54*t**2 - 92*t - 19. Let d be u(2). Which is the closest to -4? (a) d (b) -1 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose -4*p + 0*p = t. Suppose 0 = 5*m - p*m - 155. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -81*u + 3. Let k(s) = 2*s**2. What is k(q(d))?\nAnswer: 13122*d**2 - 972*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/2838 and 115\/18?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 15, 3*s + 318 = 6*s - 3*x. What is the smallest common multiple of s and 12?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 498 = 23*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 2*o - o)*(4285 - 4285 - 1965*o**2) as p*o**3 + c*o**2 + f*o + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 102 + 83 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + (5 + 5*sqrt(405))*-5))**2.\nAnswer: 372600*sqrt(5) + 9131544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4*u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1083 - -1672. What are the prime factors of v?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 q when three letters picked without replacement from uuwqzwuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x - 4. Let j(d) = 14*d + 7. Let n(w) = -4*j(w) - 7*u(w). Let q(f) be the first derivative of 2*f**3\/3 - 4. Give q(n(t)).\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Let t(w) = 2*w + 2. Let k(h) = -3 + 1 - 4 - 5*h. Let n(r) = 3*k(r) + 8*t(r). What is n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149658.5 to the nearest 100.\nAnswer: -149700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 12 = 3*f + 4*x, 2*f + 4*x - 34 = 0. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 281892, 281781, 281594, 281331, 280992, 280577?\n\"Answer: -38*y**2 + 3*y + 281927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1748 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 928*q + 1852.\nAnswer: (q - 926)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13909 + 13846. What is the second biggest value in h, 11, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-5 - (-7 - -21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126078, -252141, -378204, -504267?\nAnswer: -630330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(48) - sqrt(48)*2 - sqrt(48)) + 4 + (-2*sqrt(85)*2 - sqrt(85))\/sqrt(5)*2)**2.\nAnswer: -82*sqrt(17) + 28833\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*l**3 + 3441856*l - 3441856*l + 27*l**2 + (0*l**2 + l**2 - 2*l**2)*(-1 + 1 + l) + l - l - 2*l**3 + (-3*l + l + l)*(-3*l**2 + 0*l + 0*l).\nAnswer: -24*l**3 + 27*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 28. Calculate the remainder when 31 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/15 + 161*i**5\/60 + i**4\/12 + 10655*i**3\/6 - 5510*i**2. What is the derivative of c(j) wrt j?\nAnswer: 24*j**2 + 322*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359790 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from rrxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*r + 240 = 0, 21*h - 19*h = 2*r + 146. Sort 2, 3, h in increasing order.\nAnswer: 2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 12125 - -11) + 7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 814?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 22287*s + 3. Let g(f) = -19*f. Determine w(g(z)).\nAnswer: -423453*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2831 divided by 7664\nAnswer: 2831\/7664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.010669 + -786.849331. Let a = 801 + f. What is a rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 7:56 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -139958615 divided by -5\nAnswer: 27991723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 48.\nAnswer: 25\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5424216 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/7 + 16*n**2 + 17108*n + 993720.\nAnswer: -4*(n - 210)*(n + 91)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78\/163 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*u**4 + 4404*u**3 - 95938 wrt u.\nAnswer: -32*u**3 + 13212*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 844*w - 4293. Calculate c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 100*v + 191 - 110*v - 115. Give f(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1.5 (c) -5\/88 (d) -0.1 (e) -3\/4 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48385?\nAnswer: 5, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3050)\/(-40) + (-6)\/(-8). Calculate the highest common factor of 28 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 9*d + 9. Let p be c(6). Let o(z) = 9*z + 7. Let j(t) = 37*t + 26. Let r(n) = 2*j(n) - 9*o(n). Is r(p) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 13*c**2 + 9*c + 270. Calculate k(-12).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52.324 and -0.03?\nAnswer: 1.56972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 0) + -2 + (31 - 25)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 9. Let l be q(8). Let j = -159724 - -159771. Calculate the remainder when j is divided by (-1 - l) + 36\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 114 = 26*v - 18*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7680029*q**3*r + 7*q**3 - 224341*q wrt r?\nAnswer: 7680029*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w - 15. Let x be b(-1). Let j(d) be the third derivative of d**2 + 0*d + 1\/120*d**6 - 1\/24*d**4 - 1\/6*d**3 + 0 + 1\/20*d**5. What is j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -51. Suppose 4*s - y - 18 = 4*y, -4*s + y + x = 0. Factor 89*i**2 - s - 3 - 94*i**2 - 10*i.\nAnswer: -5*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 528 + -496. Let k = x - 31.6. Which is the closest to 25? (a) -2 (b) -0.1 (c) 5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - c + 67, 0*c - c = -5*v + 101. Suppose -2*z = -6, -54*s + 5*z = -50*s - 141. What is the remainder when s is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/13)\/p)\/p**2)**(-2\/21) assuming p is positive.\nAnswer: p**(82\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 28. Let t be l\/21 - (-1)\/((-1)\/(-3)). Which is the biggest value? (a) t (b) -14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 - 4 + 44*p**2 + 2 - 27*p**2.\nAnswer: -3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66202.4 - 3622243.7.\nAnswer: -3556041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -3 (b) 0.5 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose -k*l - 6 = 0, -5*l - 6 + 1 = 5*u. Factor 3*n**2 + 6*n + 3 - 7 - 5*n**u.\nAnswer: -2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + 51*b - 293. Calculate q(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9936308 divided by -4968154.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 1. Let w(i) = 18*i - 3. Let u(j) = 7*t(j) - 2*w(j). Let l be u(5). Let a = -5 + l. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*v = -11, -v = -3*i - 3 - 4. Let f be 104\/20 - 1\/5. Which is the third biggest value? (a) i (b) -0.4 (c) f (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*u + 1 + 0 - 1.\nAnswer: -374*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = -4*l + 13, -w = -5*l + 24. Let i = l + -3. Suppose -i*b + 6 = 2. Solve -b*d - 4 = -p, -8*p + 20 = -3*p - 4*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79.74 and 0.03.\nAnswer: 2.3922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Let g be (1\/h)\/(2\/24). Suppose -4*b - o - 1 = 0, -o = -3*b + 4 + g. Solve -b - 1 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/9*(-3)\/(-2). Suppose -s*m - 1 = -3*m. Is 5 a factor of (0 - -16) + m + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3, 4*f - 583 = -0*f + 5*x. What is the highest common divisor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -7*g**4\/4 - 2*g**3\/3 - g**2\/2 - 229. Suppose 2*h + 2 + 0 = 0. Determine i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-5)*(-3)\/2. Let f = 226\/15 + i. Find the common denominator of -21\/10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*20\/(-8) + 206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnucnucnnnn. What is prob of sequence nncn?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -644, 1\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0 + 0*h**3 + 1\/24*h**4 - 3*h**2 + 0*h. Let f(s) = s**2. Give w(f(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 663, 662, 661, 660, 659, 658?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 3, -14\/9, -735, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 409239, 3273892, 11049387, 26191146, 51154591, 88395144, 140368227, 209529262?\n\"Answer: 409237*q**3 - q**2 - 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 7. Suppose -5*g + 44 = 4*x, -27 = -0*g - 3*g - 3*x. Determine c(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.27\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 247*y + 130. Let d(k) = -k. Give u(d(h)).\nAnswer: h**2 - 247*h + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y\/y**(1\/4))\/y))**(1\/4))**46 assuming y is positive.\nAnswer: y**(207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -t - w + 11, 3*t - 7 = -w. What is the second derivative of -8*q**3 - 2*q - 977 + 1006 - 2*q**3 - t*q**2 wrt q?\nAnswer: -60*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.119, 0.4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1680649*w - 2181457?\nAnswer: 1680649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*a**6 + 2*a**4*o**3 - a**2*o**2 - 39*a + 41*o**3 + 2 wrt a?\nAnswer: 3360*a**3 + 48*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-212)\/(-6))\/(308\/264*8\/(-14)). Put 14, -1, t, -4 in decreasing order.\nAnswer: 14, -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (58\/(-203))\/(6\/(-3)). What is the closest to -0.3 in t, -44, 5\/2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (14 + -12 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 1, u: 2, a: 1, z: 1, n: 2}. Give prob of picking 1 b, 2 u, and 1 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 + 5*k - 2. Let l(r) = r**2 + 3*r + 1. Let z be l(-2). Let g(n) = -n**2 + n. What is z*m(h) + 4*g(h)?\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42571715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 - -111.92. Let q = -0.08 - y. Sort q, -3\/4, 3.\nAnswer: q, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 130, 258, 406, 568, 738, 910?\n\"Answer: -x**3 + 16*x**2 + 87*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 - 1 + 1)*(0 + 2 - 1) + 2*c - 2*c + 3*c**2 + (-4*c + 2*c + 4*c)*(-13 + 5*c + 13) to the form k*c**2 + a + v*c and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21048 and 1.\nAnswer: -21047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l + 37. Let v = l - -38. Let n = 457 + -28789\/63. Is v at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4735472 (base 8) to base 15.\nAnswer: 1a8229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -6*o + o. Suppose -5*g - o = 4*f, -2 = 4*f - 3*f - 4*g. Calculate the common denominator of 123\/20 and f\/4*(-516)\/144.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-8 + (-1 - -23)) - (-3 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q*y**3 + 3*q*y**2 + 960*q*y + 11*q - 63292*y**3 - 2*y**2 wrt y?\nAnswer: -6*q - 379752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -2*(-2)\/(-4). Let i(j) = j**2 - j + 4. Let b be i(q). Suppose 0 = 2*u - 8 - 32. Calculate the greatest common factor of u and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -557.7 less than -148?\nAnswer: 409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 903, 1359, 1819, 2283, 2751, 3223?\nAnswer: 3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.225\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -292 + 479. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/15)\/((-3)\/(-45)*-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 24420*d**2 + 73232*d - 48816.\nAnswer: 4*(d - 6102)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*r = -110942 - 79604 - 80354. What is the greatest common divisor of r and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 5, s: 1, f: 1, l: 7}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16540198.\nAnswer: 2, 1663, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -562, -4474, -15076, -35710, -69718?\n\"Answer: -557*v**3 - 3*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1804\/110 - (152\/(-20) - -7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 10*c - 10. Let r be p(-7). Let k(z) = 2*z + 34. Let h be k(-17). Suppose -10*y - 390 = -h*y. Is r at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -4279\nAnswer: 55627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 1, w: 5, z: 1, i: 4, t: 1}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 38*y**2 + y**3 + 27*y**2.\nAnswer: y**3 + 61*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125743 - -69?\nAnswer: -125674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 6. Let i(f) = 3. Suppose 9*k + 14 = 16*k. Give k*t(o) + 5*i(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88 - -24d?\nAnswer: 2d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 29756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-2*m**5 + 0*m**5 + 3*m**5).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 670952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001 - -11111011?\nAnswer: 100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*j - 0*j - 16, 3*j - 12 = -5*p. Suppose 4*h - b = 88, j*b + 0*b = -5*h + 110. Let z = h + -16. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 46. Let l(x) be the second derivative of -1\/6*x**4 + 0*x**3 + 0*x**2 + 139*x + 0. Calculate l(c(p)).\nAnswer: -50*p**2 - 920*p - 4232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 867780231 to the power of 1\/2, to the nearest integer?\nAnswer: 29458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543509 is divided by 2023.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2190749990.\nAnswer: -2190749995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1325 divide 100860243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -46. Which is the closest to m? (a) 2\/19 (b) 2\/11 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 366\/(-4)*(-14)\/21. Which is bigger: s or 60?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116510088 a multiple of 1909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6793330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/1335 and 77\/3405?\nAnswer: 303045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1593 - -1592. Do -1\/409 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1) - -3*(-12)\/((-144)\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57895?\nAnswer: 5, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/(-4) - (-1 + 19).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g**2 + 91*g**2 - 8540*g + 41*g**2 - 179*g**2 - 3646580 = 0. Calculate g.\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 5*d**2 - 3*d + 5. Suppose 5*a + 3*k = 25, 2*k = 7*k. Calculate u(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -s. Suppose -3*r - 233 = -4*k, -s*r = 2*k - k - 77. What is the remainder when k is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*z + 17 = o, 2*o = -3*z + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-28))\/(204\/16)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -5, 3, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*n**5\/5 + 274486*n**4\/5 + 4535442*n**3\/5 - 2115802*n**2\/5 - 503054*n - 178908\/5 = 0. What is n?\nAnswer: -5262, -17, -1\/2, -1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/9)*w**(-5\/2)*w)\/(((w\/(w*(w\/(w*w**(5\/8)*w))\/w)*w)\/w)\/(((w**16\/w)\/w*w)\/w)))**(-28) assuming w is positive.\nAnswer: w**(-4921\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2678372561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249416 is divided by 338?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 + -568\/3. Put v, -4, 63 in decreasing order.\nAnswer: 63, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 = d. Let x = -1\/60 + -29\/60. What is the third biggest value in 0, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9)*(-6)\/1. Let x be 2\/(0 + a\/(-6)). Factor -10*i**2 - 2*i + 13*i**2 - 1 + 4*i**2 - 4*i**x.\nAnswer: -(i - 1)**2*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 26. Determine l so that -k + 3*l - 1 + 6 - 1 + 6*l**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63890 * 0.2\nAnswer: 12778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*r - 11, 5*r - 5*k + 1 = -14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -892128006.\nAnswer: -892128004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 52 + 43. Let h = 28 + p. What is the lowest common multiple of 10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-242)\/(-6)) + 2\/(-3). Let k = d + 48. What is the lowest common multiple of k and 13 + 1*(2 + -1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*l - 43, -669 = 2*l - 4*k - 571 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 139. Let m = -113.5 + p. Suppose -d = f - 3*d + 6, -f + 15 = 5*d. Which is the biggest value? (a) f (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 12. Let r = 26 - 11. Suppose -120 = -5*x + r. What is the greatest common factor of i and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919476.4t to kilograms.\nAnswer: 919476400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 3*k + x, -4*k - 2*x - 2*x + 256 = 0. Suppose -5*t = 2*y + k, -5*y = 3*t + t + 42. Let v = -9 - t. Calculate the highest common factor of v and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6420960 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**3*m**3*z**2 + 2*f**3*m**2*z**2 + 115*f**2*m**2 + 2*f*m**2*z**2 + 14*f + 604*m**3*z**2 wrt m.\nAnswer: 30*f**3*z**2 + 3624*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Find the second derivative of y + 2*y + 2*y**2 + z*y**2 wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25754243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18105 + 18104. Sort -402, 4, a, -4 in increasing order.\nAnswer: -402, -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 11*k - 14. Let b be s(10). Let f(x) be the first derivative of 2*x**3\/3 + 3*x**2 - 5*x - 179. Let n be f(b). Which is bigger: 16\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1368))\/((sqrt(160)\/sqrt(8))\/sqrt(10)).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 - 0.16. Let h = 3 - 2.8. Which is the smallest value? (a) -2\/5 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-3)*14\/(-182).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 7*a**2 + 7*a + 8. Let d be h(8). Suppose 3*r + 2*r = 2*u + 135, d = r - 5*u - 27. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -487 - -284. Let y = -84 - t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 259.6647 months?\nAnswer: 0.21638725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -a + 6*a + 505, 5*a + 385 = 3*k. Let r = k + -112. Solve 5*n = r + 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/17 + 450\/17.\nAnswer: -2*(s - 15)*(s + 15)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/12? (a) -0.3 (b) 3\/7 (c) -3\/2 (d) -3.8 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -53*x - 23. What is the hundreds digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347876 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*j**5 + 24*j**4 - 15*j**3 - 90*j**2 - 84*j - 24 = 0. What is j?\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y + 65*y + 392 = 0. Calculate the remainder when y is divided by 75.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -270.\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300103 + 10?\nAnswer: 300113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 1, 2.58, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**4\/h*h)\/h))\/h**(1\/2))\/(h*h**8*h*h*h*h*h*h\/(h\/(h*h*h\/(h**8\/h*h)))) assuming h is positive.\nAnswer: h**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -4) + -3 + 21. Suppose 22*m - 27*m = -85. Let f(l) = -w*l + m*l + 6*l. Let d(z) = -11*z. What is d(f(j))?\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)*q**(10\/11))\/(q**(5\/3))**(-5\/16))**(-9\/11) assuming q is positive.\nAnswer: q**(-2661\/1936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-265)\/(-2)*10\/25*4. Let c = h + 47. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 6. Let f(g) = 2*g - 11. Let q(c) = 6*f(c) + 11*m(c). Let v be q(-6). Let b be 8\/(-2) + v\/(-2). Is b != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311340328.\nAnswer: 2, 13, 23, 73, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -61. Let z = -17.2 - m. Let w = 2195\/12 - 183. Which is the second smallest value? (a) -2 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5612, 11280, 16874, 22394, 27840, 33212?\nAnswer: 38510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.3, -3073\/11, -2\/193?\nAnswer: -3073\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 + 10*s**2 - 35*s**2 + 10*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 1\/4 (b) -1\/4 (c) 5 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 51 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 - -213. Let i be 1*-2 - (3 + -3). Which is the closest to g? (a) 5 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -169*k - 1176. Let f be n(-20). What is the highest common factor of f and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 15. Let w be k(-11). Suppose -6 = -2*i - f, 2*i + f + 14 = w*i. What is the remainder when 19 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59183 is divided by 294?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -54. Let r = 12 + i. Let y = -3.7 + 0.7. Which is the second smallest value? (a) y (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.273 - -123.273. Let p = n + -122.999887. What is p rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591838989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -667005 divided by -4195?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*a + 21783, 29044 = -29*h + 33*h - 3*a. What are the prime factors of h?\nAnswer: 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46079 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**6\/360 + h**5\/24 + h**4\/12 + 4*h. Let l(o) be the third derivative of v(o). What is the first derivative of l(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -16*k + 3*k. What is the second derivative of -9*s**2 - s + 20*s - s - 25*s**k wrt s?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**22)**29\/(((a**(-1\/3)*a)\/a)**4\/(a**(1\/6)\/(a*a\/(a\/(a**4*a)*a)*a))) assuming a is positive.\nAnswer: a**(-1285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t - 15. Let n(r) = -2*r**2 - 5*r + 5. Let l be n(2). Let w be k(l). What is the common denominator of (12\/16)\/(9\/w) and 59\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -3. Suppose 3*j + 5*x = 5*j - 146, -u*j - 2*x + 340 = 0. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -662, -17718, 1\/7?\nAnswer: -662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0*m**3 + 0 + 3*m + 1\/60*m**6 + 1\/12*m**4 - 1\/2*m**2 - 1\/15*m**5. Let u(x) be the first derivative of f(x). Factor u(r).\nAnswer: 2*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1091 - 966 = -15*y + 343. What is the remainder when 6239 is divided by y?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -57*t + 5. Suppose -b - 4*w - 4 = 0, -2*b + 5*b + 29 = 5*w. Let j be k(b). Let g = 796 - j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583987171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4\/9))\/v*(((v\/(v**7\/v))\/v)\/v)\/v)**(-16) assuming v is positive.\nAnswer: v**(1088\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133 plus -7453611.1399?\nAnswer: -7453611.0069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007*n - 75944 = 253*n + 367*n + 99*n for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -7*z**3\/3 - 158. Let l(v) be the second derivative of v**3\/6 + 22*v. What is l(j(i))?\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 5*x + 12*x)*(0 + 3 - 4)*(-3 + 1 + 0)*(4 - 5 + 4) to the form v + w*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k**2 - 75. Let i(d) = 1064*d**2. Determine u(i(c)).\nAnswer: -14717248*c**4 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-156) - 1\/(-3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 16*j + 5. What is z(-8)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170\/3 - -56. Let v = 10.8 - 11. Sort 3, s, v in decreasing order.\nAnswer: 3, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 342585242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 17668.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4 - 10*o + 6. What is the derivative of a(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 5248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32387147 (base 9) to base 3.\nAnswer: 1002102221011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158385793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6561939709 to the nearest integer?\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 572526161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*t + 20 - 20)*(4 - 4 + t) + 0*t**2 - 7*t**2 - 2*t**2)*(0 + 1 - 3 + t)*(t + 2*t + 4*t).\nAnswer: -21*t**4 + 42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -104019300 to the nearest one hundred thousand.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 169 = 253 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 26 - 21*f**3 + (1 + 22*f - 1)*(4*f**2 + 54*f - 54*f) to the form c + r*f**3 + p*f**2 + m*f and give r.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/21? (a) -72 (b) -1 (c) 595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 613853 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2421776 (base 8) to base 5.\nAnswer: 132231244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 10060464.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r - 8 = 0. Let j = r - -2. Suppose -4*h + 8 = -4. Solve j*s + h*w = 2 - 4, -5*s - 16 = -3*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**3 + 9*k**3 - 9*k**3 + 14*k**3.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238 and 8407?\nAnswer: 285838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -77, -1\/22 in ascending order.\nAnswer: -77, -8, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 - 11\/(-2). Suppose 6*x = 2*x + 5*w + 12, -2*x + 5*w = 4. Suppose -a + t = -x. Calculate the smallest common multiple of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwg when three letters picked without replacement from {h: 1, g: 1, w: 1, i: 1, r: 2, j: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(sqrt(3)*2 + sqrt(3)).\nAnswer: -15*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p - 13. Let g be r(-4). Let c = g + -30. Suppose 0 = u + 3*n - 226, -u = 3*u + c*n - 869. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-72)*15*((-24)\/20)\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10030211 - -1232321?\nAnswer: -2131230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 346*t**2 + 390*t**2 - 737*t**2. Let v(q) = 205*q**2. Determine v(i(a)).\nAnswer: 205*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-20)*(-180)\/(-132)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/4 - 231*f**3\/4 + 2277*f**2\/2 - 969*f - 2166 = 0. Calculate f.\nAnswer: -1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 994*a + 27051. Let m be o(-28). Let z = 14 - 4. Sort m, 4, -13, z in descending order.\nAnswer: z, 4, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/36*38*-2. Let h(f) = 12034*f**2 + 14*f - 8. Let u be h(b). Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11ec3 (base 16) to base 6\nAnswer: 1323511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 - 5.37. Sort u, 5\/4, -5\/2, 1 in ascending order.\nAnswer: u, -5\/2, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -30*q + 24*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.605534cm to nanometers.\nAnswer: 96055340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 8*x - 5. Let r be b(5). Let n be 1*5 + (-15)\/r. Is (n + 4)*70\/3 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 864, 1127, 1392, 1659, 1928, 2199?\n\"Answer: p**2 + 260*p + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/30 + 2*h**3\/3 + 16*h**2\/5 + 3*h + 171. Factor w(t).\nAnswer: 2*(t + 2)*(t + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00573882 rounded to five decimal places?\nAnswer: 0.00574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65835 is divided by 243?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(252) - (-1 + sqrt(252))))**2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275 = -87*w + 92*w. Let m be (-1684)\/14 + 4\/14. Let g = w + m. What is the greatest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246353895*d**3 + 334650371*d wrt d.\nAnswer: 1478123370*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 = m + j, -3*m + 1445 = m - 5*j. Suppose -r + 4 = 0, 0*f - m = -2*f - 3*r. Let u = -55 + f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - 0) + (-4 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*d, -2*d - d = -398*w + 394*w - 8*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10723424 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54751 is divided by 271.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 267798197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*w**2 + 55*w + 44*w - 153*w + 54*w.\nAnswer: -389*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + 5.02. Let l = 4.99 - k. What is the second smallest value in -0.4, -0.5, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57794899 is divided by 978.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -20*r**3 + 36*r**2 - 12*r - 4 = 0.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 1 - 1)*((-4 + 4 - 5)*((-2 + 2 - 1)*(0 + 1 + 1) - 4 + 3 + 3 + 0 + 1 - 4) + 75 + 17 - 1) to g + z*n and give z.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**18)**16\/(k**(-4\/13)*k*k**(23\/5)))**(-39) assuming k is positive.\nAnswer: k**(-55128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16241 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/126*1\/15)\/((-3)\/27)*30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -752*d + 478*d - 1125*d in the form t + m*d and give m.\nAnswer: -1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.3 and 63.\nAnswer: 51.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (77\/112 + -1)\/((-1)\/4)*-4. Let i(u) = -8*u - 82. What is i(d)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(44 - (-14432)\/(-330))*(-50)\/(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12745 - 285 = 4*s. Let j = -2124 + s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4673902 is divided by 599?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.69 - -0.79. Let d = l - -12.8. Let m = d + -3.89973. What is m rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -306 - -321.3. Let l = 13 - d. Let g = -2.30000151 - l. Round g to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -312 - -440. Let h = 283 + u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4049 - -4217. Calculate the lowest common multiple of p and 54.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 4. Calculate t(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256918710 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w - 14. Let s be i(11). Suppose 2*p = -p + 27. What is the highest common divisor of s and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -3, 0, 1, -37 in descending order.\nAnswer: 75, 1, 0, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/g**(-5))\/g))**(-41)*(g*(((g**(5\/3)\/g)\/g*g)\/g)\/g)\/g**15 assuming g is positive.\nAnswer: g**(569\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94586 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -83, -146, -231, -344?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30605 + u + 48863 + 22067 + 103637.\nAnswer: u + 143962","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) + 2*-2*sqrt(1800) - 1*sqrt(1800)*1)\/(((sqrt(110) + -2*sqrt(110))*4 + sqrt(110))\/(sqrt(11)*-1*2)).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419813111606 less than 0.5?\nAnswer: -2419813111605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -41*p**4\/7 - 740*p**3\/7 - 1389*p**2\/7 - 722*p\/7 - 32\/7 = 0.\nAnswer: -16, -1, -2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 67*x + 124. Determine o(-10).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 1, q: 2}. What is prob of sequence qq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12835.4279996 - 12835.4. Let l = 0.028 - x. What is l rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 56 + 235 - 293 + 12*z. Let j(a) = -6*a + 1. What is -5*j(x) - 3*v(x)?\nAnswer: -6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10620221, -21240442, -31860663, -42480884, -53101105, -63721326?\n\"Answer: -10620221*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 73*a**2 - 153*a - 1563. Calculate z(-71).\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 43*a. Let p(f) = -207*f**2. What is q(p(g))?\nAnswer: 42849*g**4 + 8901*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 6*i + 6. Let r = 6 + -1. Let c be z(r). Suppose -3*x + 0*m - 2*m + 5 = 0, 3*m + c = 4*x. Sort 1\/5, -0.1, x in increasing order.\nAnswer: -0.1, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - d - 5 = -4*t, -d - t = -5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 316*(-1 + (-2)\/(-4)). Let g = 97 - i. Suppose 0*y - g = -3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/62 and (-538)\/24 - -3*(-5)\/(-60)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27228 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11913 or 0?\nAnswer: -2\/11913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -44. Let l(y) = -2*y - 19. Let r be l(t). Find the third derivative of -7*x**3 + 7*x**r - 5*x**6 - 7*x**6 - 5*x**2 wrt x.\nAnswer: -1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from rbrqrbrbdpprrpdbbbb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070 times -0.4?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 33*j**2 + 48*j + 68. What is the remainder when s(32) is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 119. Suppose d = 5*c + b, 2*c - 32 = 12*d - 15*d. Solve -d*v - 6 = -7*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/((-69)\/(-2)))\/(11\/(264\/128)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 7*d**2 - 4*d - 8. Let l = 6 + 0. Let g be t(l). Suppose -14 = -g*y + 74. 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(f) = f. Let v be (-3)\/(-2)*-8*(-13)\/2. Let g = 71 - v. Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66416 (base 7) in base 2?\nAnswer: -100000100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 105*o**2 + 722*o + 14. Calculate b(-8).\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -966 (base 12) to base 5\nAnswer: -20444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (-6 - 2 - -15 - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**5 - 284*m**4 + 323*m**3 - 38223130*m?\nAnswer: -60*m**3 - 3408*m**2 + 1938*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22*3 - (1 + 2). Let s = j + -61. Let c be 1*(1 - 0)*3. Solve n + 9 = s*q, 0*n + 17 = q - c*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**2 - 517 - 24*d + 409 - 6*d**2.\nAnswer: 4*(d - 9)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/32 and -55\/33287348.\nAnswer: 266298784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2301 divide 70744570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107474?\nAnswer: 2, 17, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 = 3. Suppose -y*m = -5 - 10. Suppose -5*x + m = 0, c - 4*x + 1 = -0. Solve c*h - 2*h - 16 = -5*a, -2*a + 2*h + 4 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384 + -383.999999543. What is w rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -5.4. Let r = 3 - m. Let o = -0.9 + r. Round o to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2069731\/13031 + -159)\/(-14)\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -104.89364922.\nAnswer: -105.89364922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101100010001101 (base 2) to base 9\nAnswer: 34077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 4)*(2186 + 8752 - 2489)*(3*w - w + 0*w) to z + u*w and give u.\nAnswer: 33796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2007165\/38 or -52819?\nAnswer: -2007165\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-12)\/(-14))*12\/112.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234796883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 3*j - 27, 0 = 42*y - 43*y + 2*j + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.1 + 8. Let l = m - -2.1. Let z = -4.2 - -4. Which is the smallest value? (a) 3\/7 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -31 in increasing order.\nAnswer: -31, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 561, 0.2, -1\/3, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 36222560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/70 + (-16)\/(-5). Suppose -73 - 44 = -t*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2 - 2006*i*m**3 + 4*m**3 - 476*m wrt i?\nAnswer: 2*i - 2006*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 104 = -29*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 - 42*p**2 + 12 + 18*p**2.\nAnswer: -3*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamyymuihmayaaayaiim. Give prob of sequence ih.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o + 4*o + 273*o**4 - 34 + 61 wrt o?\nAnswer: 3276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*f = -3*f + 7, 64 = 4*i - 3*f. Calculate the remainder when 69 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*b, b + 2*b = -2*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.006, -47\/41?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*b**6*z - 14*b**4*z - 3696*b**2 + b*z wrt b?\nAnswer: -15600*b**3*z - 336*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*n**3 - 6*n**2 - 45 + 63\/2*n.\nAnswer: (n - 30)*(n - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52011, -208057, -468141, -832269, -1300447, -1872681?\nAnswer: -2548977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16500\/(-35))\/((-13)\/(-14) - 1). What is i rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 540 + -535. Sort -5, 1.6, b in increasing order.\nAnswer: -5, 1.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Suppose 0 = -2*z + p + 8 - 0, z + 5*p + 18 = d. Factor v + 3*v**z + 2*v**2 - 4*v**2.\nAnswer: v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g + 93. Let b be n(6). Solve 0*l = m + b*l + 14, -m + 4*l + 7 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5531 + -44177\/8. Find the common denominator of -151\/336 and r.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12334 and -1231312.45?\nAnswer: 1243646.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -0.086.\nAnswer: 9.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -356.8 and 0.11?\nAnswer: -39.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 + 110?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -31*s + 7. Let b be f(-4). Suppose 64 = 5*p - b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -10 (c) -1\/2 (d) 3\/10 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from -42496.583.\nAnswer: -42497.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 349, 351, 353, 355, 357, 359?\n\"Answer: 2*t + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5246 - 2293 - 3135 + 2*m. Let n(v) be the second derivative of v**4\/6 + 2*v. Determine n(h(j)).\nAnswer: 8*j**2 - 1456*j + 66248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1956, 10, 4, -4 in ascending order.\nAnswer: -5, -4, 4, 10, 1956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*s**3*v - 16*o*s**2*v + 12*o*v**3 + 2*s**3*v**3 - 16*s**3 - 16*s**2 with respect to o.\nAnswer: s**3*v - 16*s**2*v + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0167 + 5.0167. Which is the closest to 1\/6? (a) 6 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - f**4 + 0*f**4)*(6*f - f - 4*f) + 30*f + 12*f - 37*f + 6*f**4 + 5*f**5 - 3*f**5 + 4*f**2 - 4*f**2.\nAnswer: 4*f**5 + 6*f**4 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14205*y**3 - 14344*y**3 - 1 + 28551*y**3 + 1.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656963 is divided by 67?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**3\/9 + 2*l**2\/3 - 1228*l\/9 + 560\/3 = 0.\nAnswer: -12, 7\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -29*l**2 + 3. Calculate j(-2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - 0 - 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8658122?\nAnswer: 2, 11, 393551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -11*k**4\/24 + 4*k**3\/3 - 2*k**2. What is the derivative of t(z) wrt z?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/7, 8, -1\/384?\nAnswer: -1\/384","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, h: 7}. What is prob of picking 3 h?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -17*d**2. Suppose -61 + 25 = -18*k. Let s(v) be the first derivative of 2\/3*v**3 + 0*v**k + 0*v + 9. Calculate c(s(i)).\nAnswer: -68*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*o - 3, 6*u - 12 = 3*o + 2*u. Suppose 5*l + 0*l - 555 = o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 33900*a + 15616145.\nAnswer: -5*(a - 7213)*(a + 433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15081438425 + -0.43\nAnswer: -15081438425.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + v - 16, -3*v = -0*t - 3*t. Suppose t*i + 268 = 2*m, 3*i = -5*m + 7*i + 640. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2140*-224.\nAnswer: 479360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 2*z. Let w(b) = 9*b**2 - 3*b + 1. What is -7*i(m) + 4*w(m)?\nAnswer: 8*m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 105241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - y - 60 = 0. Let a be (-2 + y\/6)*(-18 - -6). Solve -a*m - 23 = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, j: 9}. What is prob of sequence jn?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 53. Let f = -11 - k. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 6\/3325 (b) 2 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -823 times 9\nAnswer: -7407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x + 12. Let j be h(5). What is the units digit of j + (2 - 3) + 2\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25225*p**3*x - 11650*p**3 wrt x.\nAnswer: -25225*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32938758 divided by -322929?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5319, -10640, -15961, -21282?\n\"Answer: -5321*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12176, -24136, -36044, -47894, -59680, -71396, -83036?\nAnswer: -94594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 0*y)*(5 - 1 - 2) - 2 + 2 - y + y + 2*y - 5*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -2d774?\nAnswer: 2d776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -15.1. Let k = 3.1 + n. Let l = 4 - 3. Which is the second biggest value? (a) l (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffu when three letters picked without replacement from wuyfffuwf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -55017?\nAnswer: -4\/55017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = -46*g + 41*g, 0 = -4*j + 5*g + 8. Find the third derivative of 16*w**2 - 18494*w + 18494*w - 2*w**3 - 175*w**j - 2*w**4 wrt w.\nAnswer: -48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9762693933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -951*y + 968*y - 402170 = 66044. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*h - 2*h - 21, 0 = -5*h. Let u = -0.22 - -0.12. What is the closest to u in l, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 30*d + 67*d - 12*d - 10*d + 3*d + d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4 - -1) + (-1 - -3) + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20263 (base 10) in base 6?\nAnswer: -233451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119455?\nAnswer: 5, 7, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 10*g**2 - 49745*g + 818070 = 0.\nAnswer: 33\/2, 4958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + -10 + 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 936 and 1642106232?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j + (-3 - 1 + 5)*(2*j - 3*j + 2*j))*(2*j - j + 0*j)*(2 + 0 - 4)*(-3 + 0 + 1).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = c - 1104. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xii when three letters picked without replacement from xxii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(187))\/sqrt(11)*1 - (4 + sqrt(1088) + -2)**2.\nAnswer: -1092 - 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1620756576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -17*r**3\/2 - r**2\/2 - 7327*r. Let j(v) = -153*v - 2. Give 3*j(a) - 8*w(a).\nAnswer: -51*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -776*a - 23. Let c(k) = -2*k**2. Calculate x(c(y)).\nAnswer: 1552*y**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = 4*c, 7*c - 5*g - 14 = -10. Factor -3\/7*w**c + 0*w + 3\/7.\nAnswer: -3*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 7*u**3\/3 + 19*u**2\/2 + 16*u. Calculate the remainder when q(4) is divided by (0 - -1)*(-3 - -16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3711, -14831, -33363, -59307, -92663, -133431?\nAnswer: -181611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 503, 1004, 1505, 2006?\n\"Answer: 501*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -103*a**5\/60 + 35*a**4\/8 + 12*a**2 - 2. What is the second derivative of p(b) wrt b?\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -18. Suppose -5*i = d - 1 - y, -2*i = 5*d + 1. Solve -17 = 3*b - i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1794, 7194, 16194, 28794, 44994, 64794, 88194?\n\"Answer: 1800*o**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 883?\nAnswer: -893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 + 7*f + 6. Let s(x) = x**3 - 2. Let i be s(0). Let d be i*(20\/8 + 1). Does 4 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, 91, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v*v**(1\/9))\/v)\/v*v)**38*(v**(2\/15))**(-49) assuming v is positive.\nAnswer: v**(1606\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585630?\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 2. Let q(z) = -z**3 - 5*z**2 - 4*z + 2. Let p be q(-4). Solve 2*h + 5*l = -p, 4*l = 2*h + r*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -243*u**4 + 2754*u**3 + 1908*u**2 + 1288*u\/3 + 32 = 0.\nAnswer: -2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 109*b**3 - 687. Let f(k) = k**2. Determine f(j(n)).\nAnswer: 106929*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/42)\/((-68)\/(-119))*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65917, -65245, -64573, -63901?\nAnswer: -63229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f + 5*f - o - 13, -o - 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*t, -10*i - t + 227 = -6*i. Suppose -40*j = -i*j + 90. Solve -5 = -2*h + j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1221 + 1249. Which is smaller: 39 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 13*c**2 + 16*c - 30. Let v be l(14). Let h be 490\/510 + (v - -1). Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1\/4*10. Let y = 5.1 + 0.9. Sort 0.5, y, h in descending order.\nAnswer: y, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28176, 113696, 256236, 455802, 712400, 1026036, 1396716?\n\"Answer: w**3 + 28504*w**2 + w - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 86 = -28*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/9 (b) 9\/3935 (c) -0.3 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-11))\/h)\/h)\/(h**(-2\/13)\/h)*h**(3\/8)\/h**12 assuming h is positive.\nAnswer: h**(-2337\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 975 = 8*i. Suppose 37 = -4*l - i. Let f = l + 456. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/68, 0.3, 5, 17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 9*q**2 - 70*q - 5. Let l be a(14). What is the thousands digit of 940*-10*l\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-11) - (-6)\/33. Let b(q) = q**2 - 8*q - 8. Let t be b(-1). Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 10 + 6)*(-3*r + 3*r + 2*r)*(2 - 3 + 0) to the form b*r + w and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-12 + 4)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.88*121310.\nAnswer: -3624742.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 4*x. What is the common denominator of x + 41\/9 + -3 and (-16)\/14*(-11)\/(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**2\/2 + w + 10. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -323?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 2318120?\nAnswer: 2318120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 2, d: 2, i: 3}. What is prob of picking 2 g and 1 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/3)*v*v))**19\/(((v**0\/v)\/v)\/(v\/(v**6\/v))) assuming v is positive.\nAnswer: v**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/346 (b) 1\/4 (c) -103 (d) 4\/9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 2. Let m(s) = 2*s + 3. Let i(q) = -6*d(q) + 5*m(q). Let a be i(8). Solve -4*k + 3*u + a = k, k + 21 = -5*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9615, 80080, 271337, 643782, 1257811, 2173820, 3452205, 5153362?\n\"Answer: 10066*h**3 + 3*h - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (2 + -11 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24718 (base 9) to base 15.\nAnswer: 4dd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -449, -1018, -1825, -2876, -4177?\nAnswer: -5734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 - 2*b - b**4 + b - 2 - 3*b**2 - 2*b**3 + 0*b**2 as n*b + d + a*b**2 + q*b**3 + y*b**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92362 by 180.\nAnswer: -46181\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1278012 and 264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*p + 205*p + 124*p to x + q*p and give q.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, 11859, 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 1974 + 678 = 0. Calculate the least common multiple of 500 and w.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 + 34*i - 126. Determine j(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*l + 92*l - 360*l.\nAnswer: -449*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.502 - -20.4980398. What is a rounded to 4 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8.6. Let h = y - 0.3. Let d = 3 + -4. Which is the third biggest value? (a) d (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28542959 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -15. Let s be (-2)\/(-8)*(-21)\/(-63). Which is the third smallest value? (a) s (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143 and -3.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 952\/24 + -28\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzkl when four letters picked without replacement from {l: 1, k: 2, g: 1, z: 2, q: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5797.6, 10\/7, -1.5?\nAnswer: 5797.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 0*h + h + (0*h + 2*h - 3*h)*(6 - 2 - 3) + h - h + 12*h + (2 - 4 + 0)*(3*h - 3*h + h).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/59? (a) 1\/11 (b) 2\/17 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 102669, -1, 1, 11 in decreasing order.\nAnswer: 102669, 11, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(272) - 4*(-4 + sqrt(272))) + sqrt(272)).\nAnswer: -60 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 268935c?\nAnswer: 2689358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/(-3) - 12\/(-4). Suppose -3*i = 5*r - 1, 13*i + 9 = d*i. Solve r = 3*k - 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l + 15. Suppose 4*z - 9*z + 10 = 0. Solve -3 = -l*n + z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 + -0.74. Let v = -2.318 - -0.018. Let c = -1.4 - v. Are z and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u**10)\/u)\/u*u)\/(u\/u**(-7))*(u*u**(-1))**(-13\/5))**(-4\/27) assuming u is positive.\nAnswer: u**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + -13) - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 44*u + 596 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, w: 3, m: 1, e: 2, f: 4, c: 1}. Give prob of sequence wc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -28*c + 59. Let r be s(2). Is r*(8260\/(-3) + -3)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37816? (a) -5 (b) -2\/1161 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d + 5. Let l(h) = 5*h + 2. Give -11*l(j) + 4*y(j).\nAnswer: 9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8) + 1)*1. Let t be 2\/1*(-3 + 2)\/2. Which is the closest to t? (a) 5\/3 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 1. Let d(a) = 4*a + 3. Let u(p) = -d(p) + 3*o(p). Let x(y) = 18*y**2 - 1. What is x(u(q))?\nAnswer: 18*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7211143253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 8027919.\nAnswer: 5\/8027919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -469678 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 16\/6) + 0. Suppose -2*c - 2*c - d - 5 = 0, -2*c - 5*d - 7 = 0. Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h + 5*r - 4, 5*h - r = 10. Let f = 15 + -12. Find the third derivative of 8*w**h - 11*w**2 + 13*w**3 - 29*w**2 + 0*w**f wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.241 + 0.11?\nAnswer: 0.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 2*m**2 - 23*m - 64. Does 9 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64064 and 4928.\nAnswer: 64064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 s when four letters picked without replacement from iisiiiiiiiissiiiii?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5 + 2*b)*(-22*b + b**3 + 22*b).\nAnswer: 2*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/546 - ((-123)\/(-77) - (-2)\/(-1))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533453364.\nAnswer: 2, 3, 1646461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 322824 greater than or equal to 322824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119.8 + 180. Let m = 59.7 - s. Sort 2\/11, m, 4\/13 in increasing order.\nAnswer: m, 2\/11, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i + 2*i - 4*i)*(-3*i + 5*i - 3*i)*(4*i - 8*i + 14*i) in the form w + u*i + f*i**2 + y*i**3 and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975250 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 5 + (3 + 2 - 1)*(-1 - 2 + 1))*(-4*j - 6*j - 3*j) as i*j + c and give i.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**6\/660 - s**5\/30 + s**2\/2 + 11*s + 185. Let w(i) be the second derivative of g(i). Factor w(d).\nAnswer: -2*d**2*(d + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -25. Let h = -12 + d. Solve -2*v - 6 = -3*p, 0 = -0*v + h*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 149*z**2 - 1219*z + 543. What is l(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 190 = 1034. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, -2, 234, 2190 in descending order.\nAnswer: 2190, 234, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - q - 8)*(717*q + 3 - 717*q + 13*q**3) as p*q**2 + h*q**4 + j*q**3 + y + c*q and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:28 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -267.\nAnswer: -16\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -45, -70?\n\"Answer: -25*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1462 (base 8) to base 6\nAnswer: 3442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 195250.9l?\nAnswer: 195250900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*l + 4*l + 16*l)*(-3 + 3 - 3)*(4 + 4 + 4) to the form w*l + n and give w.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 16 - -7 - 23 - -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 29046320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315893?\nAnswer: 315893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/291 or -1?\nAnswer: 29\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.661716 minutes in nanoseconds?\nAnswer: 39702960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/76)\/((-1)\/(-2502)). Let i = -11\/19 + s. Find the common denominator of i and 1*((-250)\/4)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from {i: 2, s: 3, u: 4, a: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*l + 317 + 119, 2*l - 448 = -3*m. Let g = m - -954. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9)\/(-18*(-30)\/1215)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 334 and 60520.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.86 + -0.14. Let u = j - -6. Suppose -2*h - 2*i = 14, 3*i = -5*h - 0*h - 27. Sort h, -2, u in descending order.\nAnswer: u, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/18 and -13\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 18. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001403419 to six dps.\nAnswer: -0.001403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458396, 458346, 458298, 458252, 458208, 458166, 458126?\nAnswer: 458088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1205 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/98 and 19\/((-57)\/(-12)) + (-13)\/20?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**5 - u**3 + 1. Let m(v) = -6*v**5 + 3*v**4 + 18*v**3 - 15*v**2 - 12*v + 9. Let b(t) = m(t) + 3*z(t). Determine l so that b(l) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -156 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 2*w - 2. Let n(m) be the third derivative of 0 + 2*m**2 + 0*m - 5\/3*m**3 + 1\/10*m**5 + 5\/12*m**4. Calculate -11*j(l) + 2*n(l).\nAnswer: l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223795, 223893, 224017, 224173, 224367, 224605?\nAnswer: 224893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 537192197 divided by -313?\nAnswer: -1716269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkamamppbea. What is prob of sequence apa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3131463306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:08 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1) - -3 - (-117)\/(-52)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*c + c. Suppose -7*x + 65 = 6*x. Find the second derivative of 4*p**x - 2*p**5 - c*p - 16*p wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-21286.\nAnswer: -1702.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 37, 74, 125?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2750 divided by 2\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -252388, -252389, -252390?\n\"Answer: -t - 252387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87180 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -370 divided by -74\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 76.715.\nAnswer: 1150.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -9. Let l = 7.4 - r. Let t = 5.6 + l. Put 0.5, t, 1 in decreasing order.\nAnswer: t, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -3 (c) 2 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.8 + -8.79999939. Round i to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*p - 38*p + 34*p - 721*p - 218*p.\nAnswer: -1537*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**5\/20 - 5*i**4\/4 - 2*i**3 - 10*i**2 + 2*i. Let a = 1760 + -1744. List the prime factors of u(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*(sqrt(684) - sqrt(684)*-2) + 3 - (sqrt(684) + 1 + 1 - 4*(sqrt(684)*-1 + sqrt(684) + sqrt(684)))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q + 2. Let j(m) be the second derivative of -m**3\/6 + 3*m - 139. Give -i(x) - 3*j(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44344 divided by 11086\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*306783.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 7547372?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddecneeyec. Give prob of sequence ndc.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11048622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -23*p - 2 + 4*p + 6*p**2 + 21*p. Calculate n(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r + 53*r + 3*h = -18, -2*r = 2*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f = 33*f + 148. Let g = f + 155. Calculate the remainder when 71 is divided by g\/14 - (-16)\/28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 12:10 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 128. Let c be 400\/x*(-1*122251 + 1). What is c rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 187. Calculate the greatest common factor of 192 and g.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -671.701383 rounded to 0 dps?\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -68, -96, -122, -146?\n\"Answer: z**2 - 33*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 650 and -1.\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)\/sqrt(2) + sqrt(14))\/(sqrt(77)\/sqrt(891)).\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*z**2 - 5*z - 214 - 3*z - 5*z**2 + 4*z wrt z.\nAnswer: 62*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (29 - 22 - 1)) + -34.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/20 - z**4\/12 - z**3\/6 + 7*z**2\/2 - 9*z. Let u be b(0). Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 5. Let q be 4\/o*14*6. What is the remainder when 40 is divided by ((-16)\/4)\/((-6)\/q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + (-2)\/((-90)\/(-35)) - 8. Factor 0*t + k*t**2 + 0.\nAnswer: 2*t**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5*s, -4*s - 2*i + 32 = 2*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52332, 104664, 156996, 209328, 261660?\n\"Answer: 52332*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 29928*q + 29923. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115048, -115095, -115142, -115189, -115236?\nAnswer: -115283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336 + 333. Let y(k) = k**3 + 2*k**2 - 2*k - 5. Calculate y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65641671*y + 61710415 wrt y.\nAnswer: -65641671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215.261 + -227.18. Let d = 12 + q. Let h = d - 0.181. Which is smaller: -0.09 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -23*z**4 + 8*z**3 - 23*z**2 + 8*z + 100. Let u(d) = -8*d**4 + 3*d**3 - 8*d**2 + 3*d + 33. Let x(m) = 3*o(m) - 8*u(m). Differentiate x(w) wrt w.\nAnswer: -20*w**3 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7718\/36417 - -40\/199. Suppose 43*k - 6432 = 27*k. Let r = k - 1609\/4. Is c != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5.470257\nAnswer: 1.6410771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b - 312. Determine z(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 285 + -310.2. Let y = 16 + m. Let r = y - -9.1963. What is r rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2103 divide 294766995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3 - -7) + 3 + 0)*3. Calculate the highest common divisor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/117, 1, 33155?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/18*12\/8. Let r = 2.15 - 6.15. Which is the second smallest value? (a) 1\/3 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/4 + 23*n**3\/3 + 31*n**2\/2 + 20*n + 4. Is x(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2*z**3 + z**4 + (0 - 2 - 1 + (0 - 1 + 2)*(-3 + 4 + 0) + 2 + 3 - 4)*(-z**4 + 0*z**4 - z**4).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77900 = 91*k + 134*k + 91*k + 709*k for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7826 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185864796 and 936?\nAnswer: 371729592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1594, -1579, -1554, -1513, -1450, -1359, -1234, -1069?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1225 - -1229. Solve j*c = -y - 19, y - 2*c - 5 = 6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.86 + 0.66. Let y = -0.364 + -4.636. Suppose -5*h + 20 = -0. Which is the nearest to t? (a) 5 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18326.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 3*a + 9*a - 3*a**2 + 2*a**2 = 0. Calculate a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/317121 and 89\/90606.\nAnswer: 634242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 + 38 + 108 + 49 - 2*h**2 + 40 + 36.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*71.\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001122545 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -414 + 416. What is the third derivative of -26*n**6 - 111*n**2 + 55*n**2 - 44*n**h - 24*n**6 wrt n?\nAnswer: -6000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-2 - -11)) + -11 + 17 + -9 + 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -181409 divided by 133?\nAnswer: -181409\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 + 4*f - 2. Let d be n(-6). Suppose i = -i + d. Solve 4*y - i*x + 10 = -y, -4*x - 4 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.1 (b) -0.06 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1)\/(-9))\/((-17)\/((-1224)\/584))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -131, 63, 2\/11?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(304) - sqrt(304))*-6*-1)**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - 16\/(-40). Let u be 8\/6*(0 + 6). Suppose -13*y + u*y + 20 = 0. Solve q = -3*o + 6, -5*c = y*o - 5*o + 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -78. Let m be 7\/x + (-1 - -5). What is the third smallest value in m, 2\/17, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 j, and 1 r when four letters picked without replacement from {h: 9, r: 3, z: 4, j: 4}.\nAnswer: 54\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 6*z = -21. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1008484 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(12\/3)*-10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, -2\/7, -5\/648?\nAnswer: -5\/648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 w when three letters picked without replacement from {w: 1, m: 2, j: 1, z: 4, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 391045280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2585*i + 4*i**2 - 2585*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2092 - 3872 - 5547 + 2557)*(4*c**2 + 3*c**2 - 5*c**2) to y + i*c + h*c**2 and give h.\nAnswer: -17908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + (-5 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-401292)\/(-203472) + (-1)\/(9\/20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 77. Let p = y + -31. Solve -3*t + 7 = -p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*g**3*j**2*m - 2*g**2*j**3 + 3*g**2*m + g*j**3 - 183*g*j**2 - g*m + g wrt g?\nAnswer: 126*g*j**2*m - 4*j**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-21 - 272\/(-17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/((p*p**(-13)*p*p)\/p))**(7\/2) assuming p is positive.\nAnswer: p**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4)**(1\/4)*b**(8\/7)*b**(3\/5)\/b assuming b is positive.\nAnswer: b**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-3) - (2 + -4) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 1 + 1 + (0 - 1 + 2)*(-4 + 4 - n**2) + 0*n**2 + 0*n**2 + 2*n**2 - 2*n**2 + 2*n**2 - 2*n**2)*(-40*n + 43*n + 81*n).\nAnswer: -252*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p + 19. Let x = 134 + -111. Let h be n(x). What are the prime factors of (2627\/h)\/(1*(-1)\/4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 24706 = -3*f, -z - 2*f + 7*f + 12360 = 0. Let h be 340\/((-2 - -9)\/84). Suppose -5*i = -5*r - z + h, 0 = 4*i + r - 6631. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 70186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 330?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26\/5 - (-3)\/(-15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-12) + 242\/6. Suppose -4*q - 3*v + x = v, 2*q + v - 25 = 0. Suppose -2*s + q = 3*s. Solve -5 = s*c + 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*o**2 - 8*o**2 - 35*o**2 + (-1 - 1 + 4)*(2*o**2 - 3 + 3) to n + h*o + g*o**2 and give g.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8729886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 225*s - 45. Let h(u) = u**2 + 227*u + 38. Calculate 6*h(z) + 5*p(z).\nAnswer: z**2 + 237*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-8))\/((-6)\/24). Let o(k) = k**2 + 5*k - 5. Let q(x) = x**2 + 4*x - 4. What is u*q(y) + 4*o(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-272)\/(-8) + -52 + 891\/33\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67\/4 of a minute?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 4*l**2 + 6*l)*(-3 + 3 - 2*l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let a(z) = -2*z - 2. Let o(k) = 2*a(k) - 2*c(k). Does 10 divide o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:15 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(1628\/94424)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*u + 12 = 0, -5*u = -0*u - 20. Let n(s) = -3*s**2 - 4*s + 6. Let h(t) = 4*t**2 + 5*t - 7. Determine j*h(y) + 5*n(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 80.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*a**2 - 194*a**2 + 382*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-8)*(660\/275)\/((-69)\/(-4)).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -3)*6 + -4 - (-1 + sqrt(153) + sqrt(153) + 3)*-3)*4.\nAnswer: -64 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4880865 bigger than -4880865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4902655034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*s - 790198 + 790218 = 0, 0*l + 5*l - 4*s + 58 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-24))\/(2435\/2922)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 3, p: 3, x: 3, b: 1, k: 8}. What is prob of picking 1 p and 1 k?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 20*i + 27. What is f(20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30628 divided by -13.\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136260653?\nAnswer: 97, 1404749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -9 in increasing order.\nAnswer: -9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*b = -111*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 98960282\nAnswer: -5\/49480141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t - 55. Let k be (3\/1 - 0)\/((-6)\/(-52)). Let o = k + -43. Does 13 divide z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176568.4673 to the nearest 1000.\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m. Let x be p(-1). What is the tens digit of 2\/x - (-522)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-18) - (-677)\/9.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 11) to base 6.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:29 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59840361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3\/8 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 - 28*p**2 - 9*p**2.\nAnswer: -46*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 17. Let y = 22 - p. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/10)\/((-3)\/(-15)). What is the lowest common multiple of 9 and ((-12)\/o)\/((-10)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 8*t - 1. Let o(h) = -h**2 - 9*h + 1. Let m(u) = 6*o(u) + 7*q(u). Let g(c) = -1600 - c + 1600. What is 3*g(j) + 2*m(j)?\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -8. Let u = v + 11. Which is bigger: u or 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645618, 1291192, 1936692, 2582082, 3227326, 3872388, 4517232?\nAnswer: 5161822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 3263685?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-8) - (-825)\/200. Solve 0*i + 3*i + 12 = -3*d, -18 = p*d + 2*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:07 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7115604 by 4.\nAnswer: 1778901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -44332821 divided by 3627\nAnswer: -12223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12669733, -12669731, -12669729, -12669727, -12669725, -12669723?\n\"Answer: 2*y - 12669735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69699419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/1 - (7 - 11\/11). Determine t, given that 0 + 0*t - 2\/17*t**4 + 0*t**n + 2\/17*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by 62\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 168\/27 + (-8)\/36. Suppose -6 = -u*h + 24. Which is the nearest to -1\/4? (a) 2 (b) -1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-12)*-1*4\/(-34)*1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 2759.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -28*s + 30*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 2854*h**2 - 2061772*h + 36193032.\nAnswer: -(h - 1418)**2*(h - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d008 (base 16) in base 10?\nAnswer: -315400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739*u + k + 17 = 732*u, -5*u - 23 = -2*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 + -8 + (-5 - -4) + -1 + -2?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66719 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 3*o**2 + o. Let k be j(-2). Let t be (-11999 - 1)*(k + 0). Round t to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(153) - (sqrt(153) + 0 + sqrt(153) + sqrt(153)))**2 + sqrt(153)*1 + sqrt(153) + 0.\nAnswer: -2448 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10359947.7 and -113.016?\nAnswer: 10360060.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/(-8)*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.6, -0.067, -1\/2.\nAnswer: -0.6, -1\/2, -0.067, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8383842 (base 10) to base 11.\nAnswer: 48069a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14\/5, -0.28, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 380, 1203, 2796, 5417, 9324?\nAnswer: 14775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17054411 - 3524411 = 6*q. What is q rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 10913182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 20*p + 13. Let t be (-5*(-3)\/15)\/(16\/(-304)). Give h(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 b when four letters picked without replacement from iiiiiiiiiiiibiiiiii.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 6*k - 9. Let s be l(8). Let o = 26 - s. What is the remainder when 56 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 186 in decreasing order.\nAnswer: 186, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*v + 66, -4*l - 17 = v + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9311475 is divided by 4870?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 15*t**2 + 9*t + 7. Is s(-17) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426827*v - 132 = 426849*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1267780.5 to the nearest ten thousand.\nAnswer: 1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/103 or 0?\nAnswer: -8\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, e: 3, q: 2}. Give prob of sequence eqe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7904 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 44 + 10 = 0. Let p be m\/(-5) - 15\/25. Let c(o) = 180*o**3 - 4*o**2 + 5*o + 4. Let z be c(p). What is z rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*t - 327*t = -53*t - 5823 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 8679.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2008385\/36 - 55785. What is the common denominator of k and -87\/796?\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*l = 3852 - 3330 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0423634ml in litres?\nAnswer: 0.0000423634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 613 - 783. Let m = j - -175. Solve 0 = 5*i + 25, p + 0*i - m = i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 - 52*j. Let v(w) = 13*w**2 - 106*w. Determine -11*d(g) + 6*v(g).\nAnswer: g**2 - 64*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25\/4 - -83\/12. Which is the nearest to w? (a) 0.3 (b) 0 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 249*i**2 + 2403*i - 3098. What is o(239)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 16 = m, -4*i - 3616 = m - 3611 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/3 - 2*x**4 + 8*x**3\/3 + 2*x**2\/3 - 3*x + 4\/3.\nAnswer: (x - 4)*(x - 1)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000744326997 rounded to six dps?\nAnswer: -0.000744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29269267 and 11124.\nAnswer: 29280391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-64)*((-4378432)\/370)\/86\nAnswer: 86\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 12:17 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 1. Suppose 2*r + 1 = a - 1, r - 8 = -a. Sort a, g, -1 in descending order.\nAnswer: a, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + h - 196 + 192 = 0, 10*h + 56 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:50 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2 - 1) + 0 + -4. Are -2\/3 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 1236 = 787. Let l be (4 - i\/21)*(0 - 3). Solve 2 - l = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -348, -346, -344, -342, -340?\n\"Answer: 2*q - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -73, -238, -481, -808, -1225?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -38 in ascending order.\nAnswer: -38, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 235 + -209. Let y be 24*(12\/3)\/12. Suppose -10*t + y*t = -10. Solve -t*m = 2*l + w, -2*m - 5*l = m + 27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (29\/(-9))\/((-2)\/(-4)) and -5\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2181, -1526, -871, -216?\n\"Answer: 655*s - 2836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2688602007?\nAnswer: 3, 7, 13, 31, 269, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i + 32. Let h = 12 - i. Suppose 191 + 127 = 4*a - 2*w, 0 = a - 4*w - 90. Calculate the remainder when a is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/3 - 0*(4 + 1 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 150?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 24 = 2*j, 4*j + 3*d = 13 + 13. Let w(f) = -3*f - 5 + 16 + 4*f - 4 - j. Give w(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18 + i - 18 + 2*i. Let b(t) = t. Let j(q) = 2*q. Let h(z) = -3*b(z) + 2*j(z). What is h(w(f))?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16, 50 - 6 = -4*n + 3*o. Let b be 7\/(n\/(-60)) + -2 + -1. Solve -t - b = 2*t - 3*v, 0 = -3*t + 5*v - 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 25 = 3*c. Suppose -a + o = -10, -4*o = 4*a - o - c. Suppose -4*l = -5*l + 1. Sort 4, l, a in decreasing order.\nAnswer: a, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*w - w**3 + 267*w - 534*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56130560 and 57700?\nAnswer: 280652800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-14)\/8 - 416\/(-128). Suppose r - 80 = -o*r. What is the lowest common multiple of r and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - z - 1 = 1, 2*b - 5*z - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a factor of 3741822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(162) + -1) - (sqrt(162) - (1 + sqrt(162))*3)).\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a. Let b(j) = 3*j**2. Suppose -3*h - 11 - 19 = 0. Let z = 8 + h. Determine z*n(k) - b(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**2*d**5 + 3*a**2*d + 361*d**3 - 813*d**2 wrt d.\nAnswer: -300*a**2*d**2 + 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69793807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 131219612 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 2, e: 4, k: 9}. Give prob of picking 1 u, 1 k, and 2 g.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47243 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 42405?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-27)\/(-6)*-1*24\/(-198)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*i - 342 + 324 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*r + 18, 2*c + 5*r = -4 + 1. Suppose 5*i - 3*f + c = -f, 5*f = 3*i + 15. Is -1\/12 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/w)\/(w**4*w))**(-35)\/((w\/w**(1\/16))\/(w\/w**(-2\/9)))**22 assuming w is positive.\nAnswer: w**(13051\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 - -100?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 + -0.8. Let f = 2.6 - q. Which is the smallest value? (a) f (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103, -97, -79, -43, 17?\n\"Answer: n**3 - n - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 3058.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 7*f + 2*f + 7*f + (1 + 0 - 3)*(-2*f + 0 + 0) - 2*f - f + f to r*f + k and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -5, 123, -3, 4 in descending order.\nAnswer: 123, 4, -3, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-63) + 59\/7. Let q be (26\/s)\/((-5)\/(-40)). Let b = q + 47. What is b rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4131996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.017309035 and -0.3.\nAnswer: 0.0051927105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose -16*g + 13*g = -2*a - 5, 4*a - 14 = -2*g. Suppose z = m + a*m - 42. Solve -m = -4*l + 2*h, -2*l - h = -0 - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 17 = -3*u - 5*i, u = -3*i - 9. Suppose -7*q - 2*q - 45 = 0. Sort u, q, -2.\nAnswer: q, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -9. Let o be (t\/8)\/(54\/(-16)). What is the closest to o in 3\/8, -5, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**3)**(-36)*(f\/((f*f**(-1\/4)*f)\/f))**(-19))**(-41\/4) assuming f is positive.\nAnswer: f**(24395\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6185 divided by 89\nAnswer: 6185\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b - -1cdc?\nAnswer: 1d67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -167*h + 2828. Let i be f(16). Solve -38*b - b - i = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 - 3*r**3 + 5364*r + 5365*r + 5359*r - 16088*r.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/4 - 2*x**3 - 6*x**2 - 45*x. Factor y(t).\nAnswer: -3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731 is divided by 145.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3014897537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2759 - -2758.97. What is the third smallest value in v, 4, -0.29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 8*n**2 + 16*n + 7. Suppose -13 = -2*a + 3. Calculate the smallest common multiple of a and v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(18) + sqrt(18)) - (sqrt(18) - (2*sqrt(18)*-4 - sqrt(18))))\/(sqrt(42)\/sqrt(63) - (sqrt(864) - 1*sqrt(864))).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from jrujaawjj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 times -0.5?\nAnswer: 0.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*h = -9*h - 12, 4*h = -3*k - 4. Let z = 5127 - 102473\/20. What is the common denominator of z and k + (-3 - (-564)\/(-176))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let y(f) = -12*f. Let o(u) = 20*q(u) + 2*y(u). Calculate o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15354938.2 rounded to the nearest one thousand?\nAnswer: -15355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2395528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 3. Let z(d) = -3*d + 5. Suppose 3*q + 2*u - 22 + 0 = 0, -5*u = -q + 13. Determine q*b(s) - 5*z(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/((-2)\/52). Let w = -59 - -23. Let s = w + g. Solve -v - s = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1) - 1098\/(-244))*(-96)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 499934*b**4 + b**3 - 2*b**2 - 354597*b wrt b.\nAnswer: 5999208*b**2 + 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from zsyccz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*c**5 + 5286*c**2 - 107*c**5 - 5051*c**2 wrt c.\nAnswer: -8220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 18*w + 72 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2102017 to the nearest 10000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**3 + d**2 - d. Let w be p(2). Let o = w - -6. What is the greatest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 250292*s - 25987104.\nAnswer: -4*(s + 104)*(s + 62469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180865504055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 43026*v + 43027.\nAnswer: -(v - 43027)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -17. Suppose 3*m - 7*m = -2*b, -5 = 5*m. Which is greater: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380 by 10.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 359e7f?\nAnswer: 359e81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 52616874*v + 105233760.\nAnswer: -3*(v - 17538960)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320293263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1757855417 and -0.5?\nAnswer: 1757855416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2426 - 7?\nAnswer: 241a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 664 + -173. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 + 3*n - 3. Let d be v(-3). Let y(h) = -2*h + 4*h + 6*h**2 - h**3 + 7 - h. What is the remainder when y(d) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28)\/7 + 1 + 1*129.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 14*h = 68. Suppose 2 = j - 2. Suppose -5*a + 4*l = -a - 212, -j*l = 2*a - 94. What is the highest common factor of a and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8941, 8901, 8851, 8791, 8721, 8641, 8551?\nAnswer: 8451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.7 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h - h + 2*h)*(0 + 0 - 1) + 3 - h - 3 + 0*h - 2*h + 0*h - 5*h + 3*h - 2*h + 56 - 2*h + 3*h - 74)*(h - h**3 - h).\nAnswer: 4*h**4 + 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 1085*v**4\/6 + 119*v**2\/2 - 2592*v. What is the first derivative of q(a) wrt a?\nAnswer: 4340*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.63, 2, -4123?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/(7\/(-35))*(-378)\/144.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - 222?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 878994 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -6975329 and 56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4063*i - 353. Is r(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27279 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(-7 + ((-77)\/(-33) - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 602*k - 598*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 4 = t. Let z be (10\/(-6) - t)\/((-2)\/9). Let p = -3 - -6. Solve p*m - 3 = -3*f, -4*f + z = 5*m - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -0.4 (c) 7\/19 (d) 46.5 (e) 1\/5 (f) 5\/6 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552 + 173*o - 229 - 233 - 90.\nAnswer: 173*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 + 11*c**2 - 18*c - 81 - 4*c**2 - 6*c**2 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 67, 98, 129?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t - 28. Suppose 3*j = -3, -4*w + 0*j - 103 = -j. Let b be -15*(2 - w\/(-6)). What is the highest common divisor of b and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.988546 + -91.992016. Let s = 89 + w. Round s to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 155573778 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.77 + -2.67. Let j = 20 + -21. What is the closest to 0.1 in j, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*v + v + 560, 4*v - m + 716 = 0. Let r = -168 - v. Solve 6*c - 2*c = -r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 5*o + 15. Suppose z + o = 4*z. What is the common denominator of (-15 + z)*(-1)\/(-3) and -19\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1454*h**5\/5 + 799*h**2\/2 - h - 1907. Find the second derivative of o(x) wrt x.\nAnswer: -17448*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/11, 4, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 812 divide 121756152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/5)*y)\/(y**(-7)\/y))\/(((y*y**(-10))\/y)\/y**(8\/7)))**(10\/3) assuming y is positive.\nAnswer: y**(1424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74.1571 + -0.4571. What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m**3 - 175*m**3 + 51*m**3 + 39*m**3 + 41*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 75. Let q be b(-26). Put -2, q, -25 in decreasing order.\nAnswer: -2, q, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) 3 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 343372 divided by 4?\nAnswer: 85843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1636136*j**5 - 1031945*j wrt j?\nAnswer: -32722720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by -5.\nAnswer: -294\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = -h. Let u = -5 - -5.5. Is h less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 times 81\nAnswer: 14418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1*-93*441\/98. Let x = s - 489. What is the smallest common multiple of x and 2?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.9846201 - 0.0639201. What is i rounded to one dp?\nAnswer: 26.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 - 4*p**2 + 0*p**2 + (2 - 2 + 2*p)*(-2 + p + 2) + (14*p - 22*p + 15*p)*(-7*p + 0*p - 6*p) to k*p + d*p**2 + b and give d.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-234)\/(-15) + 3. Let v(o) = -71*o - 7240. Let p be v(-102). Solve -54\/5 - 2\/5*g**4 + 4*g**3 + k*g - 72\/5*g**p = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22692 and 7853323?\nAnswer: 94239876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j - 41. Is 47 a factor of c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3 + (-3 - 1 + 2)*(1 + 1 - 3) - 1 + 2 - 2)*(-250 + 20*b**2 + 250) to the form j*b**2 + a*b + r and give j.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -14. Let u(d) = -d**2. Let w be u(-1). Let x be -3 - w - 14\/(-6). Which is the second biggest value? (a) f (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/56 + 2*n**5\/15 + 6*n**2. Find the third derivative of o(r) wrt r.\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1322, 2, -27 in ascending order.\nAnswer: -27, 2, 1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 266*v**3 + v - 348*v**3 - 1187*v**3.\nAnswer: -1269*v**3 - 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19778611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -641\/3 in 1\/8, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/40 - 5*a**4\/12 - 18*a**2. Find the second derivative of u(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7688, -30679, -68974, -122573, -191476, -275683, -375194?\nAnswer: -490009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 45, 48, 23, -42, -159?\n\"Answer: -2*v**3 + 4*v**2 + 21*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-2*s**3 + s**2 - s**2) - 47 + 47 - 3*s + 17*s**3 to the form a + w*s**3 + u*s**2 + x*s and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*f + 4 + 0*f + 3*f - 4*f + (5*f + 2*f - 5*f)*(-4 + 1 + 5) - 3 + 3 + f + (5 - 3 - 1)*(5*f + 2 - 2) + (-3 - 1 + 3)*(0*f - 13*f + 8*f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:48 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179239609079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1673 + -946. Calculate the remainder when k is divided by 191.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -5*g**3\/2 - 7*g. Let q(h) be the first derivative of -10*h**3\/3 + 8874. Give c(q(f)).\nAnswer: 150*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33993, -136319, -306869, -545643, -852641, -1227863?\n\"Answer: -34112*w**2 + 10*w + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g\/((g\/g**(-8))\/g)*g\/(g**(5\/4)\/g)*g*g*(g\/(g*g*g**3\/g))\/g)**46 assuming g is positive.\nAnswer: g**(-943\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -343 divided by -3\nAnswer: 343\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-20)\/6 - 0. Let t = 0.196 + 0.804. Is t smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*36\/210*(-5)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7)*h*h)**(6\/5))**(-27) assuming h is positive.\nAnswer: h**(-1944\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let p(u) = -u**2 + 3*u + 3. Let q(j) = -4*i(j) + p(j). Is 6 a factor of q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 755\/184 + 5455\/184. Factor w*v**3 + 33\/4*v**4 + 243\/4*v**2 + 0 + 81\/2*v + 3\/4*v**5.\nAnswer: 3*v*(v + 2)*(v + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10141622445668 - 2.2?\nAnswer: -10141622445670.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let k(i) = -21*i + 3. Let o(b) = -1. Let a(h) = k(h) + 3*o(h). Calculate a(p(d)).\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 0 + -2*sqrt(700) + sqrt(700) - (sqrt(700) + 0 + 4 + -4)))**2.\nAnswer: -40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:49 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6875425 is divided by 1374.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - 82. Let b be (2 - 12\/z)\/((-1)\/(-120)). What is the highest common factor of 64 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.43 + 4.37. Let c = 1.9 - z. Let b = 8.9 + c. Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - -2*(sqrt(108) + 1))**2.\nAnswer: 72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 70. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -143*a + 3014. Is m(17) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 117, 243, 371, 501, 633, 767?\n\"Answer: m**2 + 123*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 7*u**5\/10 - 5*u**4\/6 - 2*u**3\/3 + 28*u - 25. Let o(m) be the first derivative of l(m). Determine s so that o(s) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*z - 26 = 0, -293*z + 89 = p - 309*z for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 2. Suppose -7 - 3 = -5*l. Let r(w) = -9*w + 8. Let q(n) = -19*n + 15. Let u(k) = 3*q(k) - 7*r(k). Calculate l*u(a) - 11*g(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18448, -36741, -55032, -73321, -91608, -109893?\n\"Answer: l**2 - 18296*l - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038426 take away 81?\nAnswer: -81.0038426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 33 and -2043927359.\nAnswer: -2043927326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095617975 to 5 dps.\nAnswer: -0.00956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 90+23\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-3 - 7) + -1. Let z(f) = 2*f**2 + 5*f - 2. Let n(m) = 5*m**2 + 11*m - 4. Give s*z(q) + 4*n(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1851 + -4?\nAnswer: 184a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 120197683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 39*w + 2130. What is z(30)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -16*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*16\/(-7))\/((34920\/2037)\/(-60))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 0.5 (c) -1\/3 (d) -22\/23 (e) -20 (f) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = 2*i + 3, -4*i = -8. Put -9, d, 4 in descending order.\nAnswer: 4, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 4685*v + 220273. Give u(48).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.19 - -0.946. Let a = -171.8 + 171.6. Put k, 0, a in increasing order.\nAnswer: k, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 divided by 2?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6933 = 3*g + 405, -5*r + 32670 = 5*g. List the prime factors of r.\nAnswer: 3, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 211, -3 in decreasing order.\nAnswer: 211, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -3)**2 + -4 + -1 + ((sqrt(396) + 4*sqrt(396))*-4 + -4)**2)*5*4.\nAnswer: 18480*sqrt(11) + 3176320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1617.55 to zero decimal places.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 302 - 294. Suppose l*a = 38*a - 600. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc051 - -4?\nAnswer: cc055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7923, 15813, 23701, 31587?\n\"Answer: -b**2 + 7893*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 18*x - 33. Let f be z(20). Calculate the greatest common divisor of 91 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16425 = -14*q + 5*f + 16533, -3*q - 4*f = -13 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16\/2603 + 7841\/5206. Find o such that -2*o**2 + 0*o + 0 + 0*o**3 - 1\/2*o**5 + m*o**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*l - 17 - 599*l + 17 + 1183*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t + 284 - 3*t - 22 + 18. Let q be i(12). Solve q*k + k = -15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*((k**(-2)*k)\/k)\/k)\/k)\/k)**(3\/16))**(-23) assuming k is positive.\nAnswer: k**(207\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018927.\nAnswer: 2018927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -3*g**4\/4 + 7*g - 2. Differentiate m(r) wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 122475, 244898, 367321?\n\"Answer: 122423*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51653.0963 - -51650. Let j = u - 2.3092. Let z = j + 5.4. What is z rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 s when four letters picked without replacement from {s: 3, h: 7, f: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 2\/127 (c) -0.08 (d) -5 (e) 4\/5 (f) 51 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 529889 and 946.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002762423 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6133311046?\nAnswer: 2, 3066655523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 5. Let z(l) = l**2 - 4*l + 21. Calculate -9*c(t) + 2*z(t).\nAnswer: 2*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*s**2 - 24*s**3 + 0 - 244*s**2 + 1 to the form z*s + n + a*s**3 + d*s**2 and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8500 divided by 17\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus -654?\nAnswer: -654.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 17 = 3*p, -74 + 71 = -3*p + 3*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248 - 247. Is t less than 30\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 30201?\nAnswer: 30200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2641*k**6\/2 - 179*k**2 - 2*k + 4596. What is the second derivative of p(n) wrt n?\nAnswer: -158460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 12*t**2 + 11*t + 4. Let u be o(-11). What is the second smallest value in -2\/13, u, -3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + 36*f - 405. Determine x(-19).\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -11 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 1122.4.\nAnswer: 1122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 63 + 57 = 0. Suppose 16*y - p = 11*y. Let s be ((-6)\/(-6))\/(2\/y). Solve 20 = -s*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(98)*1 + -6*(-2 + sqrt(98))*6)**2*-5*2.\nAnswer: -1255260 + 362600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 8*x**2 + 5*x - 4. Let a be b(-7). Suppose 3*k = -5*v - a, 2*v - k + 4 = k. Let y = 5 + v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*j**2 + 2 + 0*j = 0. Calculate j.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3 + 7. Suppose -v*p - q = -p - 136, 4*q = -4. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -z - 0*z - 14, 2*z - 4*h + 52 = 0. Let x = z - -40. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -7\/6, -75, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1043 + 5?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1234815\nAnswer: -1\/411605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) -38626 (d) -0.5 (e) -1\/3 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7433?\nAnswer: 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.255139kg?\nAnswer: 3255139000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -16*h**2 - 2*h + 9. Let m(t) = 63*t**2 + 9*t - 37. Let l(q) = -2*m(q) - 9*z(q). What is the derivative of l(g) wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 10. Let u(k) = 3*k. Determine u(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1203 or 64?\nAnswer: 1203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -728963\/32 + 22777. Calculate the common denominator of 49\/8 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z*z**(-5)))*z**(14\/5)*(z\/z**23*z)\/z**(-4\/11) assuming z is positive.\nAnswer: z**(-1201\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -78*h - 42. Let f(o) = -20*o - 9. Let t(w) = -9*f(w) + 2*x(w). Give t(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7289994 = -3*l + 3*c, -l + 270450 + 2159552 = c. Round l to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 72 + 214*r + r**2)*(r + 5 - 5).\nAnswer: r**3 + 214*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1 + -1 - 32\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97.32 - -99. What is g rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/11 (b) 3\/2 (c) 0.2 (d) -2\/17 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-9 - 7) - -10) + (-13 - -3) - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (12 - (-5 + 79))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-2)*4\/(-7). Is 6 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6440 by -46.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 206.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -46, -93, -168, -277, -426, -621, -868?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -2 - (-4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -768581.\nAnswer: 3\/768581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 24\/6434351?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -949, -1903, -2855, -3805, -4753?\nAnswer: -5699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 460\/7 (b) 11 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100110011100 - -11?\nAnswer: 100100110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = x - 567. Suppose -4*t - x = -3*h - t, -3*h - 3*t + 633 = 0. Calculate the highest common factor of h and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13060296 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuu when three letters picked without replacement from {x: 4, u: 4, g: 7}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l**4 - 20*l**4 + 2*l - 2*l**2 - 8*l**3 - 20*l**3 in the form o*l + q*l**2 + f + k*l**3 + a*l**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 3 + 3)*(-2*n + 3*n - 4*n) + (0 + 5 - 3)*(2*n**2 + 0*n + 0*n) - n**2 + 2*n**2 - 3*n**2 + 0*n**2 + 3*n**2 - n**2 as o + b*n**2 + s*n and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 317287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 422*w - 89042.\nAnswer: -(w + 422)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61665377 and -0.4?\nAnswer: -24666150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04477875401 rounded to six dps?\nAnswer: -0.044779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -3*z - 12*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1274035, 5096132, 11466293, 20384518, 31850807, 45865160?\nAnswer: 62427577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 422.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 233 - 691 + 230 + b + 230 + 3*b**2. Suppose v - 1 = -5. Let q(r) = 2*r**2 + r + 2. Give v*q(w) + 3*j(w).\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2369984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4734*o**3 + 2*o**2 - 8*o + 17. What is the units digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354\/2275 + -2\/455. Let w = 242 + -6051\/25. Let j = i + w. Which is the nearest to -2\/7? (a) j (b) -5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365*w**3 - 4335*w**3 - 3603*w**3.\nAnswer: -10303*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1600 and -47\/130.\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 820186 or 820188?\nAnswer: 820186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10337, 41340, 93011, 165350, 258357?\n\"Answer: 10334*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 500 - (4\/(-18) - 476\/126). What is the highest common factor of k and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/28304 and 115\/8784.\nAnswer: 254736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 513 = 2*u + 2*h - 503, 10 = -2*u + 13*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03283827963 to four dps.\nAnswer: -0.0328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.4285281 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 136835c2 + 1?\nAnswer: 136835c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 6*j + 16. Is 12 a factor of 7\/28*326*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*o + 18, 3*o - 21 = -5*y - 0*o. Let t be (15\/2)\/((90\/384)\/5). Suppose 5*i = -75 + t. What is the remainder when i is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 943\/2 + -469. What is the nearest to 0.1 in -4, v, -95, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*r + 470, -3*r = -3*a - 753 + 63. Let s = r + -91. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k - 2. Let m be l(-4). Find the third derivative of 10*x**2 + 5*x**3 - 9*x**m - 4*x**3 + 2*x**3 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**7\/315 - v**6\/90 - v**5\/30 + v**4\/9 + 4*v**3\/9 - v**2 + 16*v. Let x(w) = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8863 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56254883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 4:28 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30725, -122883, -276479, -491513?\n\"Answer: -30719*j**2 - j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 23*t + 0*t + 3*t.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-72)*6*63\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - ((8 - 15) + (1 + 1 - -12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Let b = 34 - 28. What is the least common multiple of d and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/7 - 12*l\/7 - 16\/7 = 0. Calculate l.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {k: 11, b: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.2, -28, -15?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103927.131 minutes to weeks.\nAnswer: 10.31023125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u + 1. Let x = -6 - -5. Calculate l(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 2*k = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28930105\/3 or 9643367?\nAnswer: 28930105\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = i + 18, 0 = i + b - 2 - 5. Find the third derivative of m**5 - i*m**2 + m**5 - m**5 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 23.26. Let n = m + -4.26. Let t = 11 + -10.7. What is the nearest to t in 1, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 2, 49 in decreasing order.\nAnswer: 49, 12, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5 (c) -7\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16227, 17369, 18513, 19659?\n\"Answer: k**2 + 1139*k + 15087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626 - 24\/(7 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 5*y**3 - 4*y**3)*(1 + 3 - 6)*(-4 - 2 + 1 + (-4 + 1 + 1)*(5 + 0 - 3)).\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by -4 - -33 - (-7 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 5. Let v be l(-4). Let y = v + 5. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2542, 2552, 2566, 2584, 2606, 2632?\n\"Answer: 2*v**2 + 4*v + 2536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(0 + -1) + -29. Let j be 8\/2*(-21)\/f. Is ((-1)\/j)\/((-2)\/258) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, j: 2, r: 4, o: 3, b: 4}. What is prob of picking 1 j, 1 r, and 1 t?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.5 (b) 0.1 (c) 4\/3 (d) 3\/68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 32*i - 4. Let p(k) = 45*k - 5. Let q(w) = 4*o(w) - 3*p(w). Let t(y) be the first derivative of -y**2\/2 + 3. Determine q(s) - 6*t(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-6) - 2\/24*-2014. Suppose a + c - 853 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4950421 a multiple of 1519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-225.\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46750439.\nAnswer: 1877, 24907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21435 minus -5?\nAnswer: 21440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429 and 3641?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14230 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 3*t**5\/20 - t**4\/4 - 2*t + 2. Let l(k) be the first derivative of p(k). Find m, given that l(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 277.\nAnswer: 1\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4580*o**6 + 2*o**2 - 1068?\nAnswer: -549600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 <= 0.055326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446 (base 9) to base 15.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 28*f + 19. Calculate v(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*h + 6, -2*f - 5*h = 2 + 2. Let l be (-1)\/3 - (2\/3)\/f. Solve 3*b + l = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 110606387958.\nAnswer: 110606387957.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5522 (base 11) to base 2.\nAnswer: 1110001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + 23. Let r = 15 - 10. Suppose -4*w - 81 = -r*w. Calculate the highest common factor of w and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4952*l = 4975*l - 3496. Solve l = 52*m - 14*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 309 = 8*q - 245, 0 = -4*b - 5*q + 21 - 73 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 9*g**3 - 17 - 2*g + (1 + 3*g - 1)*(-2*g**2 + 0*g**2 + g**2) - 22*g**3 + g**3 + 9*g**3 as s*g**2 + p*g**3 + y*g + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569715?\nAnswer: 3, 5, 19, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:44 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 6. Suppose -2*m - h = -7*m + 38, 2*h + 20 = 2*m. Let r = m + i. Let z(g) = 5*g. Determine z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 7*u + 2*u)*(26 - 26 + 5*u + (4 - 1 - 1)*(2*u + u - 2*u) + 4*u - 3*u - 3*u) + (-u + 0*u + 3*u)*(-u - 47 + 47) as z + h*u + r*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.218*-0.5\nAnswer: 0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 11. Let f be d(-8). Suppose q + q = 2*c + 38, 0 = -2*q + f*c + 40. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.5, -1\/3, 0.4, 0.2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h + 3*h + 2 + 5*h**2 + 2. Let r be i(4). Suppose -r = -3*u - u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2. Let v(t) be the third derivative of -t**6\/90 - 2*t**3\/3 - 4*t**2. Let u(z) be the first derivative of v(z). Give q(u(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -251 in 2, 0.8, -21\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 2*u**2 - u + 0 - 2*u**3 + u**3 - 1. Let d be y(3). Solve 0 = -d*m - 3 - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30230 = 2*a - 0*a. Suppose 3*k - a = -1927. Suppose 0 = 5*g + 4*f + k, f - 882 = g - f. What is g rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 44 = -j. Let d be (6\/(-24))\/(2\/332)*-14. Suppose 0 = 7*x - d - 35. What is the greatest common divisor of j and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1975261382.\nAnswer: 2, 17, 827, 70249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 55 + -41 + 1 + (3 - 16)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9551446 bigger than 9551446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1207328*f*u**2 - 2*f*u + 21*f + 105*u + 9 wrt u?\nAnswer: 2414656*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*a + 1347, -4*j + 2*j + a = 2689. Let o be j\/(-72) + 1\/((-6)\/4). Is 52\/2*153\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/40900098 and -18\/20119.\nAnswer: 449901078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1251059724 and 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)\/(a\/a**23)*a**(-3\/7)*a*a**(-3\/5) assuming a is positive.\nAnswer: a**(699\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/6)\/(0 + (-2)\/(-6)). Solve 0 = -l*q + q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -5 (c) 1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282730 by -10.\nAnswer: -28273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13132101 (base 4) in base 9?\nAnswer: -45880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 238295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 72.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*v - 811 + 124, 5*v + 546 = 4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -17*u - 205*u**2 - 175*u**2 + 357*u**2 + 17. Let t(l) = -8*l**2 - 6*l + 6. Give 6*n(p) - 17*t(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 1. Suppose 10*s + 1 = 9*s. What is l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990679374 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/4 (c) -3\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6 + 217\/12*(-166)\/(-581)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/6*(3\/(-2) + 1). Which is the second biggest value? (a) 1 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 2*x - 5. Calculate the smallest common multiple of (-2)\/4*(-1 - 21) and g(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 19 (c) 0.2 (d) 2 (e) 0.169 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) + (-3955)\/(-452).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 36 + 19 = 0. Solve -5*w - 20 = i, 2*i - b*w - 5 = -0*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42\/11 in -2, -19, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z + 9, 3*z - 7 = -2*l. Let y be l + (3 - 1) + 3. Let k be -3 - (y + -3 - 6). Solve d - k = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/1253875 and 43\/1504650.\nAnswer: 7523250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f**2 + 4*f**2 + 28*f**2 + 0*f**2.\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -48315 - 54697. Let b = t + -2025. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -29, -15, 1, 19, 39, 61?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -113 - 10 + 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 231752.\nAnswer: 3244528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let i = 30.33 - -6.57. Let v = i - 37. Which is the nearest to 0.1? (a) v (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**2 - 2*k + 5. Let g(v) = 24762 + 3*v - 5*v**2 - 24765 - 2*v. Determine 3*b(m) + 5*g(m).\nAnswer: 8*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 6. Let b be c(4). Suppose -4*l - 2*k + 22 = b, -4*l = -2*k - 12. Solve 2*d - 5*z - 15 = 0, 0 = -d - l*d - z - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 45 = -2*q, 2*q + 186 - 121 = 4*j + 103 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8440 divided by -3397?\nAnswer: 8440\/3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 941926, 941924, 941922?\nAnswer: 941920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -5*p - 5*s, -4059*p + 4056*p - 11*s = 62 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124924 divided by 612?\nAnswer: 31231\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 - 161?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-3)\/(-3)))\/(4814\/(-31291)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2132 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -13*z**2 - 4*z - 13. Let t(g) = -9*g**2 - 3*g - 9. Let p be 2\/6*(-1 + 16). Suppose 3*n + p - 26 = 0. Calculate n*t(b) - 5*u(b).\nAnswer: 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) - 8\/(-3). Let c(f) = -4*f**3 + 17*f + 18. Let i be c(-1). Suppose v*k + 10 = k - i*r, -2*r - 4 = 0. Is 1 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 4. Suppose -3*h = 5*d + 3 - 15, -2*d = 2*h - y. Let x be (-6 - d)\/(-1) - -2. Solve -3*b - 20 = -x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3544 = 9*b - 9052. Suppose -28*z + b = -16*z. Calculate the highest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**4 + k**4 + 5*k**4)*(8 - 8 + 34*k).\nAnswer: 68*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 87*d**2 + 450*d + 38. Give z(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-68)\/6)\/((-8)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4256208 and 24156.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 9*n**2 - 115*n**2.\nAnswer: -125*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -0*f + 1230. What are the prime factors of f?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.42+-2434\nAnswer: -2437.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0 + 674*b**3 + 26304\/5*b**2 + 107\/5*b**4 + 1\/5*b**5 + 4608*b = 0?\nAnswer: -48, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 452\/(-12). Which is smaller: h or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.1331 rounded to zero dps?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 8789?\nAnswer: -8788.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 450.871 and -1445027?\nAnswer: 1445477.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 21*t. Let d(i) = -3*i. Calculate d(s(c)).\nAnswer: -63*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 - -150. Let u = 119 + j. What is the highest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 38 + 38 to the form z*d + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26378080, -26378087, -26378094?\n\"Answer: -7*v - 26378073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 808474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2937 and -73\/1602.\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*o**2 - 17010*m**2*o + 4*m**2 + 5*m*o + m + 15313614*o**2 wrt o?\nAnswer: 2*m**2 + 30627228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d**2 + 55041*d + 155805 = 0. What is d?\nAnswer: -3055, -17\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18467933*b**3*p**4 - 207*b**3*p + 17088*b**2*p wrt p.\nAnswer: 221615196*b**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30440?\nAnswer: 2, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233142 (base 5) to base 10.\nAnswer: 55422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7196994?\nAnswer: 2, 3, 7, 57119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-80 + (55 - 8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 7, p: 5, s: 8}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -731, -1249?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 + (-5 - 1526\/(-84)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -365*b + 8331. Is s(-74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 14*m**3 - 19*m**2 + 3. Let g(w) = 29*w**3 - 39*w**2 + 7. Let l(x) = -3*g(x) + 7*n(x). What is the third derivative of l(o) wrt o?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + -75. Let j be (b\/(-25))\/(6\/(-220)). Suppose -2*h - h = -j. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 = -9. Let j(o) = 6*o + 0*o + s - 8*o - 4. Calculate j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 30*o + 9. Let v be m(-14). Let s be (v - 55)\/(1 - (0 - -3)). Suppose -4*a**3 + 6*a**2 + 3*a + 3 + a**3 - s*a**2 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*o + 255*o - 75168 = 0. Is o a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2179 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200 - -223) + (21\/42)\/((-1)\/(-14)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 w, and 1 y when four letters picked without replacement from xnyyywxoyxxl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 360, 359, 348, 321, 272, 195?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130156 (base 8) in base 13?\nAnswer: 17734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*y = 159*y - 16. Solve 0*n = -n - y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374336121.\nAnswer: 3, 359, 503, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2. Let k(d) = d - 129 + 29 + 207. Calculate b(k(l)).\nAnswer: -6*l**2 - 1284*l - 68694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226585 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjpepjejxmez. Give prob of picking 1 p, 1 m, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1158 + 6743. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:08 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1227 - 0.5227. Sort o, -0.048, 0 in decreasing order.\nAnswer: 0, -0.048, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201535 + 294871. Is (-2)\/(h\/13336 - 7) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = x + x, 2*u + 3*x = -6. Solve -6*w**2 + u*w + 6*w**4 + 3*w - 4*w**5 + w**5 + 0*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-20))\/(1 + 5\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*q, -4*g + 9*g - 36 = -4*q. Solve -q*d = -9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/33 and 5\/121?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*y - 5, 5*p - 7*y - 9 = -3*y. Solve p*j + 15 = v, -2*v + 5*j - 4*j - 6 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x - 4 + 4)*(-x**3 - 8*x**4 + x**3) - 4*x**5 - 2*x + 2*x)*(-2 - 1 + 2).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105938 or 6933?\nAnswer: 6933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 9*m + 41. Let n be b(7). Suppose n*a = 4*a + 1071. Calculate the greatest common factor of a and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**7\/840 - v**6\/180 + 2*v**3\/3 - v. Let z(w) be the second derivative of q(w). What is the third derivative of z(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960287.5 millennia to decades.\nAnswer: 96028750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -2*r. Let z(o) = -46*o**3 - 3*o**2 + o + 1. Let v be z(r). Let k = 66 + v. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - 11. Let o be y(-8). Suppose -3*c + 8*c + o = -3*s, 2*s = -2*c - 2. Let h(m) = m**3 + m**2 + 1. Give h(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) + 1*-4*sqrt(143))\/((sqrt(110)*-1 - sqrt(110))\/sqrt(10)) + -3)**2.\nAnswer: -27*sqrt(13) + 1089\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**6\/360 + m**5\/24 - m**4\/3 + 2*m. Let d(t) be the third derivative of u(t). Let r = -5 + 10. Calculate d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/3 - 5596*b**2 - 268174*b\/3 - 217828 = 0. What is b?\nAnswer: -8378, -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 16*r - 3864. Calculate the least common multiple of r and 10.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-three quarters of a litre?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172799071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 - (12 - (-6 - -18 - 6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -441b9 (base 15) to base 5\nAnswer: -23411044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/48 and 173\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59946 and 73542.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 18766.014 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2605, -5428, -8255, -11086, -13921, -16760?\nAnswer: -19603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 + -0.22. What is the nearest to x in -0.1, -2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - 2 + 4 + 2*x**3 + (3*x**2 - 14*x**2 - x**2)*(-13*x + 8 - 8) + 5*x**3 - 6*x**2 + 6*x**2.\nAnswer: 159*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -7\/4, -2\/3, 0, -4, -149?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - -6. Let f = l - 33. Let t = -3\/2 + 13\/6. Is f smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 0*f = 10032. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 1 + 4. Suppose -3*g + 3 = 3*b, i*g + 2 + 1 = -b. Let h(o) = -3*o**2 + 6*o**b - 2*o**2 + 4*o**2. Let w(s) = -4*s. Give h(w(v)).\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upmjjbjjpupjpjjpj. What is prob of sequence pmup?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12241177, 24482355, 36723533, 48964711, 61205889, 73447067?\nAnswer: 85688245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 4017.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 0*j + j + 6 - 2*j. Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1141443 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -734643 divided by 7?\nAnswer: -104949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/523 and -26\/14160225?\nAnswer: 14160225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10903\/24 - -1369\/3. Find the common denominator of 5\/(1*(-18)\/69) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50209 is divided by 885.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j + 1. Let y(a) = -1. Let o(w) = 11*w - 4. Let f(n) = o(n) - 6*y(n). Suppose -3*p + 5 = 2*x, -19*x = -24*x + 5*p + 50. Calculate x*t(l) - 4*f(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 2 - -1 - (-5 + (2 - -8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.6. Let t = -1.2 + 2.5. Let q = t - 1. Which is the third biggest value? (a) q (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20643078 is divided by 1452?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(1*(sqrt(50) + -1*sqrt(50) + sqrt(50)))\/(-2*sqrt(640)) + -1)**2.\nAnswer: -1905\/256 + 25*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 24561094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 2)*(1 + 19). Let x(z) = -z**2 - 6*z - 9. Let p be x(-6). Let j be (p + 4\/1)\/(1\/(-3)). Calculate the greatest common divisor of f and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(7\/4)*(t\/t**(1\/3)*t)\/t*t)\/(t**(-9\/4)\/t*t)**(-41))**(7\/2) assuming t is positive.\nAnswer: t**(-3689\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-280)\/39)*(-8)\/114*-76?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17*k - 9. Let v be n(-4). Suppose -3 = 4*x - v. Calculate the remainder when 55 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 14 = 2*c, -w + 18 = 2*c + 2*w. What is the derivative of -c*p**3 - 5*p**3 + 3*p**3 + 2 wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1. Let s(h) = 5*h + 15. Let r(b) = 28*j(b) - 4*s(b). What is the tens digit of r(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-44))**(-4\/23) assuming x is positive.\nAnswer: x**(-176\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(30\/15))\/(-12)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*t = -9, -14*i = -16*t + 14*t + 40 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-429)\/(-220))\/(-39)*(10*6\/(-12))\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:04 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8460 and -25\/3384.\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*b**4 - 1856 - 12*b**4 + 1856 - 16*b**2 wrt b?\nAnswer: -768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 48*p**2 + 291*p + 322. Give u(6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2 - -1) + -9 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 869*v**2 - 116612*v + 22242. Calculate j(134).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62524 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*b = 3, 4*a - 5*b + 0*b = 22. Suppose -25 = -a*g - 1. Differentiate 7 + g - 3 - 9*x**4 with respect to x.\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-35) - (-30)\/350\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 22 - 33 - z + 18. Let r(y) = -y + 7. Let t(b) = -2*c(b) + 3*r(b). Let j be t(-8). What is the highest common divisor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57609.5km in meters?\nAnswer: 57609500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7911 or 7910?\nAnswer: 7911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (168\/280)\/(9\/120). Solve -2*p - 22 = -2*b - 18, 2*p - u = -b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 19\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47552 plus -27574109?\nAnswer: -27526557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 7*a. Let k be (-25)\/(-4) - (-9)\/12. Let u be g(k). Suppose u = 7*w - 477 - 1000. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 14. Suppose 4 = 2*x - 3*b, -5*x - 3*b - 11 = -0*b. Is u - (2 + (x - -1)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/7 - 17244*n**3 + 1821181946*n**2\/7 + 520389432*n + 1821423368\/7 = 0. What is n?\nAnswer: -1, 30178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 840691\/71 + -11841. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 72 + 3*h + 16*h**3 - 9*h**3 to the form l*h**3 + s*h**2 + c + j*h and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 13*i + 109. Let w be c(-9). Let m be w\/(-36) - (590432\/(-18))\/(-8). What is m rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.599420600524 + 0.3.\nAnswer: -49.299420600524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8545*s**4 + s**2 - 8543*s**4 - 8*s**3 + 0*s**2 in the form k*s**3 + c + j*s**4 + u*s**2 + o*s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h + h + 6*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 - 6 + i**2 + i**2 + i**2 + i. Let x(d) = -2*d**2 + 2*d - 7. Let m(t) = 26*t + 3. Let k be m(0). Calculate k*x(n) - 4*v(n).\nAnswer: -2*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 2*u**2 + u + 3. Let g be t(3). Let z(x) = 76*x - 154*x + 77*x. Determine z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345399, -345566, -345733, -345900, -346067, -346234?\nAnswer: -346401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 179397 (b) -5\/3 (c) 0.5 (d) -1\/4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36673914 a multiple of 2698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 267 by -1127.\nAnswer: -267\/1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*g - 35*g**2 - 16*g**2 + 29*g - 30*g**2 - 37*g**2 to the form s*g**2 + c + x*g and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 55\/(-11) + -3. Let q(k) = 29*k**2 - 2*k - 1. What is the least common multiple of q(-1) and (3\/y)\/((-300)\/1600)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l + 1. Suppose 2*c + 2*z - 6 = 2, 4*z = -c + 13. Let g(v) = 7*v**2 - 2*v + 7. Let k(s) = c*g(s) - 6*n(s). Let a = 272 - 278. Give k(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-105 - (-67518)\/620)?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/55 and (-1614)\/(-945) - 1 - (-2)\/(-7)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 6. List the prime factors of w(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c - -4e?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -66*v**2 - 61*v**2 - 1 + 61*v**3 + 128*v**2. Suppose -2*p + 2 = -0*p. What is the units digit of f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, l: 6, z: 4}. Give prob of picking 2 l.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-23)\/(-5))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1082 divide 394647904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 980 = 9016*u - 9093*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 3*d + 8. Let b be t(7). Suppose 0 = -u - 2*u + b. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, j: 3, w: 1, o: 4}. Give prob of sequence dodj.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -16)\/(-7)*2\/(-8). What is the nearest to -0.1 in -3, z, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10458138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7805477\/255576 + -10\/10649. Let h = 92\/3 + n. What is the smallest value in 1\/12, h, 6\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**4 - 222*l**3 + 3879*l**2 + 8436*l + 4332 = 0?\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110245209 + 43195209. Round d to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-80)\/140 + (-2)\/(-28)). What is the closest to 3\/4 in -0.2, 2\/5, 0.2, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) 2\/7 (d) -1\/1017 (e) -4\/329\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1829*s**4 + 1060 with respect to s.\nAnswer: -7316*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4}. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -201*m + 2212. Determine w(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = -w + 28, -4*c + 8 = 0. Suppose w = d - 13. Calculate the remainder when d is divided by (-4)\/(12\/(-9)) + 40\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1498 (base 10) to base 16.\nAnswer: -5da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 + -959\/6. Let x = -0.05 + -4.95. Sort x, s, 0.2.\nAnswer: x, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119 - 33*n - 121*n - 118 to the form q + c*n and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, s: 2, w: 10}. Give prob of sequence swjj.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2304067 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45755.\nAnswer: 5, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3 - 7835*n**2\/2 + 3835722*n + 3837681\/2 = 0.\nAnswer: -1\/2, 1959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 6*v)*(3849 + 4365 - 9468).\nAnswer: -2508*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 667*b - 116. Let p(k) = 29*k - 5. What is 5*n(h) - 116*p(h)?\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 55 = -10. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (4 - (4 - 4))) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2.4, 0.6, -3\/4, -0.1.\nAnswer: -20, -2.4, -3\/4, -0.1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 559 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 3*c. What is f(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:29 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 + 2 = 0. Let t be (1 + 1)\/(c\/10). Let g be t\/19 + -1 - -1. Is g < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3360 divided by -35\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(189) - sqrt(189))*6)\/((sqrt(77) - ((sqrt(77) + (sqrt(77) - 3*sqrt(77)))*5 - sqrt(77) - sqrt(77)))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -1 + 4. Let n = -2295 - -2295. Solve n = 2*w - x - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7853568, -15707163, -23560760, -31414359, -39267960, -47121563?\n\"Answer: -c**2 - 7853592*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67918, 65921, 63924, 61927, 59930, 57933?\n\"Answer: -1997*o + 69915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1986519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 - -6 - (-6 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -674*o**3 + 3*o**2 + 84*o + 6. Let h(j) = -j**2 - 21*j - 1. Determine b(z) + 4*h(z).\nAnswer: -674*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/7 + 3116*q**4\/7 + 3118*q**3\/7.\nAnswer: -2*q**3*(q - 1559)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1133 = 4*w - 70, 0 = -2*w + 4. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3156.495l to millilitres.\nAnswer: 3156495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1269)\/(-470)*(-1)\/((-6)\/4). Which is the nearest to 1\/2? (a) -5 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 158\/3. Put -4, v, 1\/4 in decreasing order.\nAnswer: 1\/4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15583 rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -13) + 44 + -67?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v + 415*v**2 - 125*v**2 - 106*v**2 - 12. Let q be d(-6). Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 - d. Let w = 5 - 7. Let m be v(w). Solve -3*z - 1 = -2*r - m*r, 3*r - 5*z = -13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - i**3 - 3 + (-4*i + 3*i + 3*i)*(-i**2 + 0*i**2 - i**2) - 2*i**3 + 3*i**3 + i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:30 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 18*d**2 + 16*d + 5. What is j(19)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*s + 5*s = -21, -2*u + 36 = -4*s. Let i = 40 - 27. Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 34985*n + 69968.\nAnswer: (n + 2)*(n + 69968)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -102\/5. What is the nearest to 0 in -5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1356962649 and -0.0556.\nAnswer: -1356962649.0556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546714024, -546714026, -546714028?\nAnswer: -546714030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 69*x**2 - 1\/20*x**5 + 0*x**3 + 23\/3*x**4 - 51*x + 0. Find the first derivative of w(i) wrt i.\nAnswer: -3*i**2 + 184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257121139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.59 - -0.56. Let n = -140 + 136.15. Let v = m - n. Which is the third biggest value? (a) 0.3 (b) 4 (c) -0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 61*d**2 - 437*d - 40. Give o(-12).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 5517640414.\nAnswer: 5517640410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93745578231140\/1047 + 89537337264. Let q = -13261 + f. Is q <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -35*z - 73. Let d(f) = 69*f + 146. Let g(y) = -7*c(y) - 3*d(y). Differentiate g(t) with respect to t.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4922 = 2*d + 3*q, 94*q - 90*q = -8. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 + -5246?\nAnswer: -52a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b + 1. Let o(l) = l**3 + 12*l**2 + 2*l + 11. Let n(i) = o(i) - 2*u(i). Let t be n(-10). Calculate the highest common divisor of t and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 48574*v**2 - 21*v + 63. Let o(i) = 112335471*i**2 - 48567*i + 145701. Determine 16189*c(u) - 7*o(u).\nAnswer: 16189*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4856 is divided by 529?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/312 - (-2)\/13. Suppose d = -20*r - 73 + 913. What is the highest common factor of 42 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00730508 rounded to 5 decimal places?\nAnswer: -0.00731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x + 3*x - 54872 = 0. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -31 - 47. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 118426 = 3*z, -4*w = -5*z + 186807 - 660483. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1247.632 + -1219. Let r = -29.1 + k. What is r rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 3, -0.3, -1\/5, 0.032, 0.2?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -8980807.\nAnswer: -8980806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*y + 17 = 2*y, -7 = -4*s - 5*y. Let o be (-24)\/60*15\/s. Solve -o*g - 10 = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4032) + -2 + sqrt(189)\/(sqrt(3) + sqrt(3)*4) + -3.\nAnswer: -5 + 123*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -5*c**3 - 14*c + 1\/4*c**4 - 13\/2*c**2 - 4. What is the remainder when v(16) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19222.1 and -0.01.\nAnswer: -192.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssysyssss. Give prob of sequence syss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39467726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(78))\/sqrt(6).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -55. Find the third derivative of 7*f**i + 16*f**5 - 12*f**2 - 8*f**2 - 5*f**5 wrt f.\nAnswer: 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6220.531ng?\nAnswer: 0.000000006220531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -411 - -388. Which is bigger: -252\/11 or s?\nAnswer: -252\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -163, -1094, -3077, -6466, -11615?\n\"Answer: -59*w**3 - 172*w**2 - 2*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - x. Suppose -2*i + 27 + 13 = x. Let k be (-17)\/i - 4\/(-16). Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-24)*-3*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 13*b**2 - 10*b - 19. Let p be u(12). Suppose -p*l + 11*l - 330 = 0. Let c = 61 - l. Solve 5*n = 5*w - w - 14, -4*w = 5*n + c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 3 + 8\/(-2). Let g be f\/2 + 4\/8. Solve g*j = 2*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*z - 11*z - 14*z)*(13 + 3 - 103 - 34) in the form p + q*z and give q.\nAnswer: 1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from amaulu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -93*q + 55. Let c be h(-7). Let j = -376 + c. List the prime factors of j.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*f**2 - f**3 - 42*f**2 - 5)*(7*f**2 - 24*f**2 + 7*f**2).\nAnswer: 10*f**5 + 50*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -131292.911 and -6?\nAnswer: 131286.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + (3 - 5). Let x be (7 + -6)\/(f\/(-2)). Find the first derivative of x*y**2 + 63*y - 1 - 63*y wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*q = -506 + 548 + 1074 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-30)\/(-6300))\/(1\/18*-1)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y - 22. Let z(a) = 1. Calculate 2*q(h) + 44*z(h).\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*u**3 - 2*u**2 + 343*u - 201955.\nAnswer: -195*u**2 - 4*u + 343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 7*h**2 - 5*h + 2. Suppose -2*n + 44 = 3*n + 4*m, 4*m = 3*n - 20. What is the units digit of j(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25 = -4*i, -10 = -4*i - 2*t - 0*t. Suppose 0 = -17*k + 20*k - 12. Solve i = -5*d - k*l + 1, 2*d + 3*l = 4*l - 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6487860 is divided by 62383.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 73399016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-6)*(-3)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0736 - -220.3.\nAnswer: 220.2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 432*r**2 - 42*r + 11. Let s(o) = -144*o**2 + 13*o - 4. Determine 4*f(u) + 11*s(u).\nAnswer: 144*u**2 - 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 + l**4\/4 - l**3\/3 - l**2. Let x be t(6). Is 2 a factor of (-3)\/x*(-20)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145661136\/365 + -399072. Let g = -2\/365 + u. Let m = 41\/2 - 283\/14. What is the nearest to m in 2, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 22*x + 51. Suppose 0*m - m + 299 = 2*u, x*m = 5*u - 755. What is the highest common divisor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28079 + 66748. What is the ten thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*i**2 + 1\/2 + 4*i = 0. Calculate i.\nAnswer: -1\/10, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4277900 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 - 123214*j**2 + 1897526390*j + 5693688150 = 0. What is j?\nAnswer: -3, 30805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414 = -152*o + 151*o. Let u = -390 - o. Let n(z) = z**3 + 6*z**2 + 8. Let v be n(-6). What is the highest common divisor of u and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13034 - -65171\/5. What is the nearest to 3 in s, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556 and 2363.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-8) + 1)\/((-14)\/56). Suppose m*y = -2*y + 49. What is the remainder when 4\/14 - (-234)\/14 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.765, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/3))\/((d*d*d**(5\/3)*d*d*d)\/d))**10 assuming d is positive.\nAnswer: d**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.08 at least -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-3)\/6*-2. Let j(v) = -3*v + 3. Let q(o) be the third derivative of -o**4\/24 + o**3\/6 + 4*o**2. Determine s*j(u) - 2*q(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19190*i**3*v**3 - 2*i**3 - 12799*v**3 + v**2 wrt i?\nAnswer: -57570*i**2*v**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -575175720 + -172\nAnswer: -575175892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-12) + 2\/3. Let j = 0.01 - 0. Let s = j - -0.09. Sort -4, c, s in descending order.\nAnswer: c, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -15. Let f be 2\/(-4)*(n + 0). What is the third derivative of s**f + s**2 + 0*s**5 + s**5 wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1460, -4374, -8744, -14570, -21852?\n\"Answer: -728*u**2 - 730*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 356792990*a*o + 149768805*o wrt a.\nAnswer: 356792990*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -257*u**3 - 25*u**2 - 3*u - 4. Let n(v) = 774*v**3 + 68*v**2 + 8*v + 11. What is 11*f(z) + 4*n(z)?\nAnswer: 269*z**3 - 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 3:14 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11359, 22720, 34081, 45442, 56803, 68164?\nAnswer: 79525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1272038732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*u + 2 - 270*u**2 - 179*u**2 - 10*u - 28*u - u wrt u.\nAnswer: -898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8956554 divided by 12.\nAnswer: 1492759\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*m + 117, m - p - 3 - 30 = 0. What is the remainder when (-4)\/14 - 374372\/(-4844) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p - 49. Let w be u(-11). Let c be (-119)\/(-2)*(-5 + 118\/14). What is the units digit of (5 - (-15)\/w) + c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (9 + 8 - 9) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61669\/11 + -5606. Let g = 3 + -2. Sort g, 2, d, 3 in ascending order.\nAnswer: d, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 11. Let k be 2\/(-7) - (-1664)\/91. Let t = k - h. Calculate the remainder when 24 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222747913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -3 + sqrt(304) + -1 + sqrt(304) + 1 + -1 - (sqrt(304)*-3 + 5 - (-1*sqrt(304) + 4))).\nAnswer: -12 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19293 > -0.0541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1020 and 4?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 + -6.7. Let u = 0.3919 - 0.0919. What is the smallest value in s, u, 3\/4, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 2*r + 4. Give v(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/8*(-3825144)\/486 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2578174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1875 - 53*w**2 - 2*w**2 - 3753 + 1880.\nAnswer: -55*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/60 + n**4\/24 - 4*n**3\/3 + 7*n**2. Let h be q(-4). Suppose -h*v = -11*v + 112. Solve -t = 3*t + v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143.9 + 139.9. Let y = 0.47 + -0.07. Sort 1\/4, y, 3, k in increasing order.\nAnswer: k, 1\/4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*y - 2*y - 26 = 0, 0 = -3*y + 12. Let p = 84 - -52. Calculate the greatest common factor of p and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41214.1 and -16.2?\nAnswer: 667668.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 78.1. Let d = r - 3. Let n = 42900 - 42897. What is the nearest to d in n, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 58194, 5 in descending order.\nAnswer: 58194, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 281063071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/41)*s**(1\/6))**(1\/28) assuming s is positive.\nAnswer: s**(29\/6888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4085 by 855.\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from ffpprllcdfl?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 46 = -9 - 12. Sort 2, -1, 24, v, -3 in descending order.\nAnswer: 24, 2, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**4*u - 3*b**3*d**2 - 13*b**3 - b**2*d**2*u + 3*b**2*d*u - 4*b**2 - 4*d*u wrt b?\nAnswer: -96*b*u - 18*d**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -731 or -1.82?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (700\/21)\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, 1 in ascending order.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1893, 3919, 5945, 7971?\nAnswer: 9997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*m - 11 + 3 = 0, -3*m = -4*t + 18. Let q(b) = -7*b + 0 - 13*b**3 + 5*b - 1. Let w be q(-1). Solve 0*y + t*y + h + w = 0, 5*h - 20 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 44470*o + 3023996. Calculate u(-68).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:38 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 5 in increasing order.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6*r. Let v(b) = -2*b - 4 - 2*b**2 + r*b**2 - 2*b**2 + b**3 - b. Determine v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmwymu. What is prob of picking 2 m and 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 300*s - 2. Let v be y(5). Suppose 3*r + 4*b - 2220 = b, 0 = 2*r - 4*b - v. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**3*h*h)**(1\/2)*(h*h**(1\/3))**14)**(-29))**(-47) assuming h is positive.\nAnswer: h**(181279\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, o: 7, m: 1}. What is prob of sequence ok?\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/23)\/q)**10*q\/q**(7\/2)*q*q*q**(-7)*q*q assuming q is positive.\nAnswer: q**(-753\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 9 = -110*y + 108*y, 0 = 2*j + 2*y + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8548\/9 + 947. Calculate the common denominator of i and -1\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658974817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 2, g: 1, k: 3, o: 1, f: 3}. Give prob of picking 1 e and 2 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:28 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -290 - -294. Let f(h) be the third derivative of 0 - 1\/6*h**3 + 0*h + 0*h**x - 1\/15*h**5 - 5*h**2. Determine f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 396, 790, 1184, 1578, 1972, 2366?\n\"Answer: 394*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 3*z + 2. Let g be t(-3). Suppose g*n - n = 3. Solve 10 = -n*j - p, 0 = 2*j - 0*j + 5*p - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -10. Suppose -3*s + 0*s = -3. Let i = 5740.9 - 5741. Which is the closest to i? (a) s (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4195801 by -28.\nAnswer: 4195801\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/60 + 2*h**5\/15 + 5*h**4\/12 + 2*h**3\/3 + 146*h**2. Solve i(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -9. Let m = -7.5 - a. Sort 2, 1, m.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let i = -12 - -8. Let f = i + 4.2. What is the nearest to t in f, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 28*u - 25*u + 18, 4*u - 1 = -3*x. Solve 2*w = 3*o - 9, -3 = -0*w + 4*w - x*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -2 (c) -0.5 (d) -1\/12 (e) -78\/2413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 588400189 to the nearest 100000.\nAnswer: 588400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f + 9. Calculate a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 2. Suppose 3*z - 9 = -2*z + u, -6 = -2*z + u. Let j(m) = 27*m**2 - m. Calculate the remainder when j(z) is divided by c(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p - 58. Let a be q(-7). What is the tens digit of 612 + ((-4)\/a - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/24)\/1*(-10)\/(-1575). Let v(j) be the third derivative of -1\/270*j**5 + 0*j + 0 + 0*j**3 + s*j**7 - 1\/108*j**4 + 1\/540*j**6 + 3*j**2. Factor v(r).\nAnswer: 2*r*(r - 1)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -728, 2, -21, 9 in decreasing order.\nAnswer: 9, 5, 2, -21, -728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*g + 30, 35 = -j - j - 5*g. Let b be (-8)\/3 + 8\/12. Put b, j, -4 in decreasing order.\nAnswer: b, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126131083?\nAnswer: 13, 43, 225637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 4*j = -2, 5*i - j = 27. Suppose 3*y - y + 4 = 0, 4*z = i*y + 30. List 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 lowest common multiple of 151 and 11?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73002527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/240 - ((-2465)\/(-1275) + (6\/(-2) - -1))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 + -15?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/4 - 2)*2)\/(8\/(-176))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 4*i. What is r(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3 - 1. Suppose -30 - 17 = 5*t - 4*l, -2*t - 17 = -l. Calculate the common denominator of k\/t - (-526)\/(-21) and -3\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547a1 (base 14) in base 5?\nAnswer: 311431332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -465*g**4 - 35*g**3 - 5*g**2 + 5*g - 186. Let j(a) = 7*a**3 + a**2 - a + 1. Let i(c) = -5*j(c) - o(c). Find the first derivative of i(w) wrt w.\nAnswer: 1860*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4936925?\nAnswer: 5, 7, 28211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(880) + sqrt(880) + 2*sqrt(880))\/(-2*(sqrt(176) + sqrt(11))).\nAnswer: -5 - 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 148, 8 in decreasing order.\nAnswer: 148, 8, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - r + 49 = 0, -4*r - 3 = -o - 12. Let x(a) = -2*a. Let h be x(-1). Let -24*z**2 + 18*z + h - 6 + o*z**3 - z**3 = 0. Calculate z.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 12*r - 1 = s, 2*s + 2 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10728 is divided by 669.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*j + 1043*j - 531*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-1\/6))\/n))\/n)\/n**(1\/5)*(n*n*n\/n**3)\/(n**(7\/4)\/n) assuming n is positive.\nAnswer: n**(-47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8682928753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 813915029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -10)*30\/(-36). Let v(z) = 8*z**2 - 72*z - 62. Let u(d) = -6*d**2 + 70*d + 61. Let r(l) = b*v(l) + 6*u(l). Find w such that r(w) = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 29*p + 3. Let j be i(-5). Let w be j\/6 + (-1)\/3. Let a = 44 + w. Calculate the lowest common multiple of a and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*q**4 - 5*j*q**3 + j*q**2 + 4*j + 5*q**3 - q**2 wrt q?\nAnswer: 48*j*q - 30*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + 130. Calculate u(47).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) -38197.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10056, 20151, 30278, 40437, 50628, 60851, 71106?\n\"Answer: 16*s**2 + 10047*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**3 - 9*a**2 + 7*a - 5. Let m(f) = 5*f**3 - 9*f**2 + 8*f - 5. Let n(t) = 5*m(t) - 4*p(t). Let z be 12\/(-15)*7\/((-14)\/20). Determine n(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 22*w - 1\/2*w**4 - 6 - 61\/6*w**2 - 16\/3*w**3 = 0.\nAnswer: -6, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005761885 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3680 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*r - 254592 = -4138*r for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Suppose 8 + 10 = v*q. Let x = q - 2. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 2444?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/((-24)\/(-36))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 11*r**2 + 6*r - 8. Let v be b(-9). Let q = -1035 - -931. Let h = q + v. Let x(o) = -o**2 - 2*o + 2. Give x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970930219 to the power of 1\/3, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64237929 and 46011?\nAnswer: 6573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.654829 meters to centimeters.\nAnswer: 165.4829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 5526033?\nAnswer: 5526032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v**3 + 9*v**3 - 27*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 6*b + 7. Let g be u(6). Suppose -g + 3 = -4*y. Let q be (2 + 11\/y)*1. Calculate the greatest common factor of 52 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/4 + 5304*p**3 - 2435715*p**2\/4 = 0 for p.\nAnswer: -7185, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.4 and -350313675.\nAnswer: -350313682.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34869074.\nAnswer: 2, 17, 1025561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.292 + 0.292. What is the second biggest value in l, -1\/37, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*z)*(18150 - 2*z**2 + 10*z - 18150).\nAnswer: 6*z**3 - 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 9*f**2 + 2*f + 48. Let d be k(-10). Let u = -130 + d. Let j(c) = -c - 1. What is j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 20022, -0.0755, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (90 - 11) + -67?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3425, -3675, -4285, -5435, -7305, -10075?\nAnswer: -13925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 1529034.\nAnswer: 28\/764517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16562214*g**3 - 92*g**2 - 38597*g - 1?\nAnswer: -99373284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**8\/8 - 3*v**4\/4 - 3*v. Find the third derivative of g(h) wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/31 + 19\/124. What is the closest to 1 in 9, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*d = -0*m + 40, 3*m + 2*d + 25 = 0. Let h(l) = 2*l**2 + 2*l + 10. Let y be h(m). Let t = 76 - y. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 10*t + 19*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1378717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = -8. Suppose 4*j - 10 = -2*g, -25 = 2*g - 7*j + s*j. Which is the biggest value? (a) g (b) -5.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 6) in base 9?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 4. Let d(h) = 6*h + 554. Give d(c) - 4*f(c).\nAnswer: -2*c + 570","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Suppose 275 = -3*h + 197. Let s = 24 + h. Which is the third smallest value? (a) j (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16107, -32215, -48323, -64431?\n\"Answer: -16108*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -59 (b) 27 (c) 215 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93688998 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.2 and -62952.0828968?\nAnswer: 62947.8828968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7385 - -4.709997. What is u rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*v - 1372, -2*v + 0*v = -3*y - 1049. Let c = -197 - y. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -28\/9 (b) -1\/12 (c) -1\/30 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1680.8 to the nearest 10.\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + -3 + sqrt(245)*3 + (sqrt(245) - (-3*sqrt(245)*1 + sqrt(245)) - sqrt(245)))*4)**2.\nAnswer: -1960*sqrt(5) + 98049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/986598 and -33\/1096220?\nAnswer: 9865980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17588 times 0.1\nAnswer: 1758.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0216818338 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1171769 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -223324, -446875, -670870, -895531, -1121080, -1347739?\n\"Answer: -37*r**3 - 223292*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267018 and 400718?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -487262159\/1256370 - 1\/209395. Let j = 384 + h. What is the common denominator of j and -41\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17395 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - n. Suppose -3*b = 3*v + 18, n*b + 0*v + 22 = v. Let p(r) = -r**3 - 6*r**2 + 6*r + 7. Is 7 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 899, -2, -0.5 in decreasing order.\nAnswer: 899, 1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = -126 + 378. Solve -4*u = -10*u - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 18. Let w = 24 + i. Which is the closest to 2\/11? (a) w (b) -1\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2 (b) 0.12 (c) -2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - (sqrt(49)*4)\/sqrt(7)) + (-5*4*sqrt(1008))**2.\nAnswer: -3*sqrt(7) + 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 (base 14) in base 13?\nAnswer: -60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 4 + -3)*-5. Suppose -3*m = f + 4. Let a be (-632)\/m*(-255)\/(-68). Round a to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 0*a**2 + 4*a**2)*(-6 + 6 - 2*a) + (-a**2 - a**2 + a**2)*(-a + a + a) + 2*a**3 - 5*a**3 + a**3 - 23*a**3 - 26*a**3 + 12*a**3.\nAnswer: -38*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g - 1 = 0. Let x be g\/1*2 - 2. Let v = -2\/27 - -31\/54. Is v at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6576265 is divided by 3288127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 2, e: 3, q: 10}. What is prob of picking 2 q and 1 e?\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) + (-190)\/40 - 970\/(-190).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3635.948mm to kilometers.\nAnswer: 0.003635948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105988600?\nAnswer: 2, 5, 23, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11111110210 (base 4) to base 12\nAnswer: -575084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 5*w + 5*b = 140, 5*b - 105 = -55 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -2\/3*g**3 + 0*g**4 - 6*g + 0*g**2 + 0 + 1\/4*g**5. What is the second derivative of q(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 27*f - 16. Let y(j) = -j**2 + j. Let n(x) = q(x) - y(x). Let c be n(23). Let p = c - 50. Solve -3*u = -2*t - t - 6, 3*t = -p*u - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2345261, 2345272, 2345283?\nAnswer: 2345294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 928923987 to the power of 1\/2, to the nearest integer?\nAnswer: 30478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 6*u + 2224. Let s = u + -2. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 109882823977 and -1.1.\nAnswer: 109882823975.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 4:38 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 + j. Let u be s(-1). Let g(w) = -13*w**3 + w + 1. Let c be g(-1). Let i = u + c. What is i rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/11 + 890*o**3\/11 + 132312*o**2\/11 + 6615008*o\/11 + 6483584\/11 = 0. Calculate o.\nAnswer: -148, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millennium in years?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 15) to base 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5\/4, -5, 13, 0.07 in decreasing order.\nAnswer: 13, 5\/4, 0.07, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 - o**5 + 3*o**5 + ((2 + 2 + 1)*(-2*o + 0*o - 5*o) - 2*o + 0 + 0)*(4*o**3 - 3*o**3 - 2*o**3)*(0*o - o + 2*o).\nAnswer: 40*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.87 - 2.13. Is 3\/11 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*z + 205*z + 1560 + 3865 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i**3 + 41*i**2 - 106*i - 184. Give f(4).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(72) + 4 + (sqrt(72) + sqrt(72)*3)**2 + 0 + (sqrt(72) - (sqrt(72) + 1*sqrt(72)))**2 + -4*(sqrt(72) + -2).\nAnswer: -18*sqrt(2) + 1235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -98576612?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 4. Calculate the common denominator of 53\/(-33) - s\/3 and -1 + 180\/21 + 0.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -263 + -1?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*w**3\/11 + 3500976*w**2\/11 + 218871516870*w\/11 - 62535004900\/11.\nAnswer: 2*(w + 125035)**2*(7*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8538, -15943, -23348, -30753?\n\"Answer: -7405*t - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-84)\/(-105)*27\/36\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - b = -31, -v + 3*b + 1 = -2*b. Suppose -2*i + v*i - 5*q = 43, -3*i + 31 = -5*q. Factor 33*h**2 - i*h**2 - 24*h - 18*h**2 + 48.\nAnswer: 3*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*r + 138, h - r - 88 = -h. Solve 2*t - h = -46 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 18*g - 12*g - 16*g + 39*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/6 - 4\/3. Let i = 1 + o. Do i and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1)*-1*2\/(-2). Solve -4*j = -3*j - u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -x - 5*k, -3*k + 2 = -5*k. Is (x - 5)\/(2 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 22*u + 17. Let v(s) = 21*s + 16. Let g(j) = -5*v(j) + 4*w(j). List the prime factors of g(-9).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57750 and 116270?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24970a - 29?\nAnswer: -249738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 8:34 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 - 2*y**3 + (3*y**2 - 6*y**2 + y**2)*(-137 + 137 - 145*y))*(3 + 0 - 1).\nAnswer: 576*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-8) + 24650\/272. Let x be ((-9)\/6)\/(9\/(-156)). What is the greatest common divisor of x and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c234 (base 15) in base 9?\nAnswer: -323514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300618, 601234, 901850, 1202466?\nAnswer: 1503082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 891*h**3 - 3*h - 3. Let l(p) = -297596*p**3 + 1003*p + 1003. Calculate -6*l(z) - 2006*u(z).\nAnswer: -1770*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 182847, 182708, 182569, 182430, 182291?\n\"Answer: -139*x + 182986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -6. Suppose -15 = d*s - 57. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**4\/8 - q**3\/6 + 12*q**2. Calculate m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/147 - 11*s**6\/105 - 43*s**5\/70 - 73*s**4\/42 - 8*s**3\/3 - 16*s**2\/7 + 33*s. Find o such that a(o) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133551 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 - 2*b**2 + 6*b - 3. What is a(2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46 and -127677669.\nAnswer: -127677715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -0.215486184?\nAnswer: -0.215486184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**2\/2 + 4*q + 7. Let y(g) = -4*g - 17. Calculate 9*p(d) + 2*y(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 604968 and 858.\nAnswer: 6654648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*j**(-16)*j*j*j*j))*j*j**(14\/9)*j**18*j\/(j**(-28)\/j) assuming j is positive.\nAnswer: j**(356\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 811, 800, 781, 754, 719?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 + h**3 + 3*h**2 - 5*h. Let x be l(-6). Suppose 10*g - x*g = 52. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26850920*p**2 - 854119096*p?\nAnswer: 53701840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 3040837*i\/4 + 760209.\nAnswer: (i + 1)*(i + 3040836)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6150 divided by -150\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -2.92101.\nAnswer: -5.92101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 58 = 5*h, h - 2 = -150*a + 154*a. Find p such that -1\/3*p + 1\/3*p**3 - 1 + p**a = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 - 158 = n + l, 3*n = -2*l - 1695. Which is smaller: -566 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5022.051 - -5022. Which is the nearest to -4\/5? (a) -3\/5 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 10:14 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, t: 5, c: 1, y: 5}. What is prob of sequence qqyq?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42320697 to the power of 1\/2, to the nearest integer?\nAnswer: 6505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, -18, -64, -138, -246, -394, -588?\n\"Answer: -o**3 - 5*o**2 - 2*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 20*j + 48. Let l be x(6). Suppose 0 = -5*f + 3*c - l*c, f - 4*c + 17 = 0. Solve p = 2*p + f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/71 - -323\/1988. Let b be ((-8)\/9)\/(-4) + (-43)\/(-9). What is the nearest to k in 0, 3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/(j\/j**(-4)))**49\/(j*j*j*j**(1\/4)*j*j*j*j**(-2)*(j**1*j)**45) assuming j is positive.\nAnswer: j**(-2337\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1974 - 9072 = 13*s. Let g be 27\/(-42)*s\/(-36)*-1. Suppose -g*i**2 - i + 35\/4*i**4 + i**3 + 1 = 0. What is i?\nAnswer: -1, -2\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76223?\nAnswer: 7, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1321 - 1321 - 3494*g.\nAnswer: -3494*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-20) - 63623\/12810)\/((-1 - -4)\/(-3))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16261 is divided by 641?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 r, and 1 c when four letters picked without replacement from {r: 3, y: 4, p: 4, c: 5, e: 3}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5\/5 + 2318*q**4\/5 - 651664*q**3\/5 - 11567336*q**2\/5 - 11016768*q - 13829760 = 0.\nAnswer: -10, -5, -2, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = 0, -2*z = 5*k + 50 + 25. Let j be (-9)\/(-6)*z\/(-9). What is the second derivative of -3*w**j + 3*w - 33*w**2 + 33*w**2 wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 4*z - 10. Calculate y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -56, -72, -88, -104?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16*w. Let d = 318 + -317. Let n(r) = 2*r. Let z be 2 - (-1 - 1 - -3). Let f(x) = -x. Let m(g) = d*f(g) + z*n(g). Calculate v(m(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 + 102*g - 216 = 0.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-2 - -1) + 0 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 32 = 5*r, -4*r + 18 = 5*v - 55. Suppose -3*l + g = -2*g - 99, -2*l + g = -61. Let k = l - v. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/25)\/(((c**(17\/4)\/c)\/c)\/c)*c**(-2\/3)\/c**(-2\/5))**(-34\/3) assuming c is positive.\nAnswer: c**(8143\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2414 - 248616\/103. Let a = -72973686999\/2060 + 35424119. Let b = a + t. What is the common denominator of b and 61\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*t - 3 = 0, t - 2 = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -906, 6.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-254)\/3175)\/(20\/(-25))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 382 = -3*g, 0 = -60*k + 55*k + g + 989. Calculate the remainder when k is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**3 + 6*v**3 - 16*v**3.\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - (19 - 8))*1. Let j = -3 - -2. Sort j, 2, -5, d.\nAnswer: -5, j, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*h - 3*s + 11, 0 = -2*s. Suppose -4*q + 3*c + 161 = 0, 2*q - c - 93 = -h*c. Suppose -2*w - q = -6*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481 - -3499. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/13)*x**(-4)*x*x)\/(((x\/x**(3\/2))\/x)\/x**(-8)))**20 assuming x is positive.\nAnswer: x**(-2170\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 1592294?\nAnswer: -1592315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3504)\/(-85848)*7\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/5216 and -43\/5868.\nAnswer: 46944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 31 = -16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 28*a**2 + 64*a + 113. Let p be x(-30). Let t(i) = -119*i - 29. What is the hundreds digit of t(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45024.9617 to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = 0, 3*x = -4*r + x + 184. Suppose 0 = 4*g + 16, 5*g + 16 = -0*f + 2*f. What is the remainder when r is divided by f\/(-2) - (2 + (-2 - 12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9526375 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 10. Let d(c) = 8*c - 9. Determine -4*d(j) + 5*l(j).\nAnswer: 3*j - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*i = -0*m + 19, -22 = -2*m + 4*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 25 = -4*l - 7*q, -5*q = -15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 15, h: 3}. What is prob of picking 2 r?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240988 by 2429.\nAnswer: 240988\/2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*18\/(-9)*35\/25*10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 10 = 2*h. Let j be (0 - -1)*20\/h. Is ((-78)\/j)\/(1\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.415 + 11.415. Let q = 3 + -8. Which is the closest to n? (a) 1\/4 (b) q (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -84. Let c be (7 - (-133)\/i)*1*3. Let n be (14 - 160015) + (c - (1 + 0)). Round n to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = a - 456, 6*w - 5*a - 1360 = 9*w. Which is bigger: -456 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4253\/3326 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(0 + 30\/(-12)). Let j(z) be the second derivative of -z**5\/20 + z**4\/3 + 7*z**3\/6 - z**2 - z. What is j(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6664*b - 294. Let q(i) = -113*i - 5. Calculate 294*q(o) - 5*u(o).\nAnswer: 98*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16402 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20646 divided by 186?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*s*y - h*s - 2*h*y - 1941*h - 19*s*y + 9*s + 400 with respect to h.\nAnswer: s*y - s - 2*y - 1941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -114180000 rounded to the nearest one million?\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*u + 21 = 0, 109*y + 5*u = 105*y + 41 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 18*t**2 - 78*t + 13. Determine a(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -511 and -35.\nAnswer: 17885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 490 = j, 3*j = -2*z + 51 + 187. Suppose -16*v + 18*v = z. Suppose -4*g = -11 - v. What is the smallest common multiple of g and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1074\/31 - 25745\/744. Let b(h) be the third derivative of 0*h + 1\/2*h**3 + 0 - h**2 - i*h**4. Determine b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*329\/(-1175)*92\/161?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-12) + (-12 - (-123)\/(-18)). Which is smaller: z or -1\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 580428270 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/9 - -74\/63. Let v be 10 - (-13 + 350\/15). What is the closest to 1 in v, k, -4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 747 = 4*b - 79, -4*q = -b + 211. What are the prime factors of 5 + 1\/1*-3 + b?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*y**4 + 8535152*y**3 - 1300870560390*y**2 - 371677999716*y.\nAnswer: -2*y*(y - 304827)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) - 1939\/(-2). Suppose -2*f - 890 = c. What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 2*z**2 + 6*z**4 + 4*z**4 - 3*z**4 + 0*z as h + f*z**3 + d*z**2 + b*z + v*z**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 10*a**2 - a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t*t**(4\/3))**0\/(t\/t**(-6)*t**(-4\/7)*t*(t**(1\/3)\/t)**14) assuming t is positive.\nAnswer: t**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/48 and 121\/504.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 2:19 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-2\/7)*n*n)\/n)\/n)**26*n\/((n*n**(-1\/5)\/n)\/n)*n**(-12)*n assuming n is positive.\nAnswer: n**(342\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31291520 divided by 97786?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137001829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.021 - 0.279. Sort 4, -3, -5, d.\nAnswer: -5, -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740270 is divided by 105732?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 208.7947288 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c - 9. Suppose -3*y - c = -4*n, 3*n - 6*n = -3*y - 18. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 11 - 2 + 4. Let d be j(-5). Is d + 3 + 29 + 1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4648cc + f?\nAnswer: -4648bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1941, -1789, -1537, -1185?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(98) + -1 + sqrt(98) + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45, 3\/2, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3228942 times 0.5\nAnswer: -1614471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/44278 and -25\/1937?\nAnswer: 6597422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(10\/24*4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 + -116. Let p = 0 + 4. Solve -2*i + m*i - p = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -365 (base 7) to base 4.\nAnswer: -3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -1\/6*c**4 + 0*c**7 + 1\/56*c**8 + 0*c**6 + 0*c**3 - c + 0*c**5 + 0 + 0*c**2. What is the third derivative of f(b) wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - 2*c**2 - c. Suppose -5*z + s - 15 = 0, s + 1 + 0 = -3*z. Let j(t) = 7*t**3 + 5*t**2 + 2*t. What is z*j(u) - 5*q(u)?\nAnswer: u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8 = -o - 8*v, 1 = -v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 16. Let j be 0 - 12\/81*3. What is the closest to 0.3 in b, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f = -309*f + 162*f - 183 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 6*z**3 - z**2 - 3*z**2 + 253*z - 1 + 3*z**2 - 4*z**3 to g*z**3 + n + r*z + v*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4 - 3*l**3\/2 + 7*l. Find the second derivative of h(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7315 and 350.\nAnswer: 73150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6209779 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.0028824 hours to weeks.\nAnswer: 0.0178743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-92 - (4 - 14) - (-5 - -10 - -6)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 10279*m\/2.\nAnswer: m*(m + 20558)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 905010902 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2026 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b. Let c(u) be the first derivative of -4*u**3\/3 + 1. Give i(c(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251386 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 22*r**2 + 135*r - 4. Calculate n(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*x**2 - 2*x**2 + 3*x - 1919 - 5*x**2 + 153*x**2 as w*x + f*x**2 + b and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -747, -1491, -2241, -2997?\n\"Answer: -3*d**2 - 735*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321\/2*(0 + -4 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 6. Let y(k) = k**3 + 7*k**2 - 10*k - 12. Let w be y(m). Factor 6*j**3 + 0*j - 8*j**w + 0 + 10\/3*j**5 - 4\/3*j**2.\nAnswer: 2*j**2*(j - 1)**2*(5*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-70)\/(-105))\/((-200)\/(-36)) and 18\/655.\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -423*b**2 - 160*b - 5. Let x(n) = -2*n**2 + n - 1. Let r(o) = -c(o) + 5*x(o). What is the second derivative of r(j) wrt j?\nAnswer: 826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 9 = 5*l, 5*f - 3*l = -2*l + 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.94 and 0.0622149?\nAnswer: -0.058482006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 2*n - 62. Is h(19) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 equal to 1088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 4*t - 1. Let c be u(-2). Let q = -5\/81 - -469\/2349. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3959.\nAnswer: 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26.4, -0.1, 1\/5?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 125*y + 255 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - q)*(-342*q - 337*q - 26 + 683*q) + q**2 - q**2 + 4*q**2.\nAnswer: 8*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 9:26 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 53 = -4*s, -4*u = -11*u + 4*s - 79 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Let u = -0.02 - -0.42. Put -1\/9, u, p in increasing order.\nAnswer: -1\/9, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11821 + 26436. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*f - 2121 - 887 = 1682 - 147 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxwxxxxxxxxxwxwwwxw. Give prob of picking 2 w and 1 x.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1463 + 4?\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018277 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*q = -46, 2*f + 2*q - 74 = -3*f. Is f\/(-35) - 2744\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.9 + -14.9. Let a = 87 - 263\/3. What is the nearest to -1 in a, i, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:06 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 8*k - 9. What are the prime factors of b(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -4 - 8*2. Let g(p) = 13*p - 4. Let k(u) = u + 2. Let s(z) = -g(z) + 3*k(z). Let x(o) = 3*o - 3. Determine b*x(r) - 4*s(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-111)\/45*-3 + (-12)\/(-20). Suppose -4*r - o = -0, -4*u + 18 = -r. Solve m = 2*w + 4, -m = -4*w + u*m + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m - 6. Let l(d) = -d + 1. Let y(o) = 5*l(o) + p(o). Let x be 0\/((2 + -1)*-1). Let j = x - -2. What is y(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8905 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50919 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.7 - 33.5. What is the nearest to -0.09 in -0.3, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k + 1. Let d be c(-1). Let r = d - 11. Suppose 5*x = 2*u - 3, r = -5*u + x + x. Is -5\/6 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -7*k + 2*b + 1487, -4*k - 5*b + 1975 = 0. Does 99 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -32, -28, -22, -14, -4?\n\"Answer: g**2 - g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -1, -14, 0.0526, 0.07 in increasing order.\nAnswer: -14, -1, 0.0526, 0.07, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 3*l**2 - l. Let t be k(-3). Let g(s) = s**2 + 2 - 4 + t - 2*s. Determine g(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4150*b = -112960 - 53040 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72) + sqrt(72) + (1 + sqrt(72))*-5 - -2*(sqrt(72) + -1))**2 + 3.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from efemfmxmeffffefe?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**8\/336 - s**6\/30 - s**5\/30 + s**4\/8 + s**3\/3 - 3*s**2\/2 + 3. Let x(t) be the second derivative of i(t). Factor x(q).\nAnswer: (q - 2)*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7145.\nAnswer: 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 753185 to the power of 1\/2, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = 5*c - 2*c, -4*m = 8. Suppose w - c*u - 2 = 0, -4*w - 8*u + 3*u = -25. Let v(y) = y - 9. Give v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + -7 - (-6 + 7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137776806 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13667 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -9266250 and -9266250 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40.61 in 0.4, 0.2, -2, 3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 8. Suppose 4*w + 3*p = 175, -4*w - p + 87 = -94. What is the least common multiple of v and w?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by 22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*v + 3. What is the smallest common multiple of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:56 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 6*c**3 + 174*c**2 + 184*c**2 - 361*c**2. Calculate h(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6158327 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 2140501?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6*45\/(-6). Let w be (-28)\/u + 2\/(-10). List the prime factors of (-8)\/w*(-9)\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-19)*c**(-6\/7) assuming c is positive.\nAnswer: c**(-139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.133 + 1.04. Let t = w - 0.907. Let o = 0 - -0.1. Which is the closest to t? (a) o (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(3 - 11\/4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/50 - g**4\/15 - g**3\/15 - 8*g. Factor q(a).\nAnswer: -2*a*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 + 5*x - 2. Let l be d(-4). Let k = 24 - 18. Suppose k = 2*y, 0 = -5*q - 2*y + 57 + 74. Calculate the highest common factor of q and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51927 times 54?\nAnswer: 2804058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 22 + 3821*l - 53.\nAnswer: 3821*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 3:59 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12444131 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 16. Let c be v(-7). Let j(w) = w**3 + 2*w**2 + w - 2. Let f(y) = y**3 + 3*y**2 + 2*y - 3. Determine c*f(t) + 3*j(t).\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y + 111*y + 26 = -4*t + 53*y, 4*t + 18 = -3*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2 + 14. Let z be ((-174)\/9)\/(v\/(-36)). What is the highest common divisor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8242460*q**3 - 28906*q**2 + 150 wrt q?\nAnswer: -49454760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w - 70. Let a be y(6). Let n(g) = g**3 - g**2 - g. Let p be n(2). Put p, -1, a in descending order.\nAnswer: p, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94307012.1 nanoseconds in weeks?\nAnswer: 0.00000015593090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-3)\/2182)*330483\/6. Suppose -5*a = -4*t + 439000004, -4*t - d = a - 32385655. What is a rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-48)\/64)\/(1\/(-8)) and 93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 502. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76, 49, 52, 97, 196, 361, 604, 937?\n\"Answer: 2*c**3 + 3*c**2 - 50*c + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-168)\/(-294))\/(8\/(-212)*-2))\/((-5)\/(-70)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -172108 times -3?\nAnswer: 516324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -1.6534.\nAnswer: -4.6534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eowo when four letters picked without replacement from oeeefofovwofwwoeff?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44946 and 1199?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t = -53 - 325. Let p(j) = 2*j. Determine p(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15963 - 49306?\nAnswer: -64169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 653, 277, -349, -1225?\nAnswer: -2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 19, 6, -23, -74, -153?\n\"Answer: -i**3 + i**2 + i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = u - 22, 4*u - 1 = -w. Let a(x) = x + 7*x - w*x - x. Let g(d) = -2. Let f(z) = z**2 - 5. Let v(p) = 2*f(p) - 5*g(p). Determine v(a(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - t**2 - 2*t - 9 - 3*t - t. Let c be o(-7). What is the units digit of -12*(c - 5\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((405\/(-18))\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + 27*y - 62*y + 17*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(27) + 4)**2.\nAnswer: -96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -663290, -1325234, -1987176, -2649116?\n\"Answer: s**2 - 661947*s - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -512*o**2 - 344*o - 1. Let h(v) = -5*v. Calculate x(h(f)).\nAnswer: -12800*f**2 + 1720*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*v**2 + 14*v**2 - 36*v**3 - 90*v**3 + 11*v**3 - 2*v to the form o*v**2 + j + r*v + a*v**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-30))\/(2\/12) - 1. Solve 3*l = -3*n + 21, -l + 4*n - 4 = -b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upeepueoeueepyj. Give prob of picking 1 e and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 7 (b) 9\/727 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1322 + 14698. Suppose -4*h - 3*k + g = 0, -h + 3*h - 6698 = k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3\/2 (c) 12904 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/(95\/(-836)*(-40)\/750).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2475\/(-15)*8\/(-10). Let p = i + -116. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - 6 - -2)*(-4)\/(-18). Suppose 5 - 1 = p. Suppose 0 = p*n - 4, -s*g + n = -3*n - 64. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*t - 52498625*m**3 - 3678*m**2 - 1101*t wrt m?\nAnswer: 6*t - 314991750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:52 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160407 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 6*b**2 + 2*b**2 + 2*b + 8*b**2 - 5*b**2 in the form d*b + v + h*b**3 + f*b**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let k = -51.378 - 2.472. Let y = 54 + k. Is y less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 101, 160, 221, 284, 349, 416?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y**2 - 10*y - 21. Let x(v) = -3*v**2 - 2*v - 4. Suppose -2*b + 177 = 181. Suppose -4*i = -16, 3*i + 26 = 3*m + 5. Give b*g(j) + m*x(j).\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/10 - (-10)\/(-25). Suppose -h + 33 = 2*g - 7*g, 0 = 5*h + k*g - 109. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 49*m**2 + 22*m + 74. Let i be -107 - -109 - (0 + 7). What are the prime factors of t(i)?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*g - 2, -41*w + 9 - 21 = -14*w - 24*w + 2*g for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36894698 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 720513 and -178810.84.\nAnswer: 541702.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -403, -634, -865, -1096, -1327?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 9*z + 12. Let j(p) = -6*p**3 - 1. Let q be j(-1). Let k(t) = t - 4 + 2 + q*t**2 + 0*t. Let c(b) = b**2. Calculate z*c(x) - k(x).\nAnswer: -2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/11)\/((-516)\/(-1419))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1073 + 627. Is i a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000111001001111101 (base 2) to base 16\nAnswer: -14727d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96929*h + 87269.\nAnswer: 96929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/40 + 438\/48?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-19600)*-25)\/(10\/14).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2009*k + 40182. Calculate o(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**7)*p*p)**(-50) assuming p is positive.\nAnswer: p**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 144991\/(-147) + 5\/(-3). Let b = p + 1003. Suppose -2*z + 31 + 3 = 0. Which is bigger: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-15) + (1 - (-35)\/(-25)). Suppose 3*x - 40 = -2*x. Let b be (x\/10)\/((-366)\/(-15)). Sort b, w, 2 in decreasing order.\nAnswer: 2, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 + 106*h**4 + 498*h**3 + 878*h**2 + 676*h + 192.\nAnswer: 2*(h + 1)**3*(h + 2)*(h + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y - 3*f, -5*f = -3*y - 2 + 27. Suppose -y = 3*w + 7. Is w < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*y**2 + 13 + 239*y**2 - 76*y**3 - 491*y**2 - 14.\nAnswer: -76*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 8) in base 13?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n + 6. Let r(g) = -8*g - 13. Let w(l) = -8*l - 12. Let u(h) = -5*r(h) + 6*w(h). Determine -6*t(p) - 5*u(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.088553 to four decimal places.\nAnswer: -0.0886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-72)\/(-42)*(-42)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.065 - 0.935. Which is the nearest to f? (a) 3\/7 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 128, 152, 176?\n\"Answer: 24*h + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + 3.652. Let n = o - 146.818. Let c = n - -145. What is c rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1218, 1246, 1274, 1302?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.97 + 9.87. Which is the fourth biggest value? (a) -9 (b) -0.2 (c) -2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m**(-4))\/(m\/m**5*((m**(-3\/2)\/m)\/m)\/m))**2 assuming m is positive.\nAnswer: m**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(56))\/sqrt(8) + -5 - (1 + (sqrt(7) - (3 + sqrt(7) + -5))))**2.\nAnswer: -16*sqrt(7) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434.2533 - 418507.\nAnswer: -418072.7467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124173 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a - 12. Let u be j(-9). Let f be u\/15 - (-4)\/10. Solve 2*b - f = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*t*v**2 - 2*g**3*t - 5*g**3*v**2 + 24*g**2*t*v + g*t*v - 180*t*v**3 + 2*v wrt v?\nAnswer: 2*g**3*t - 10*g**3 - 1080*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 20\/21 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3324\/1331 - -1895513\/763994. What is the common denominator of 99\/8 and o?\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (208\/(-39))\/(2\/(-15)). Suppose w = -3*w - 20. Let p = w + 10. Calculate the highest common factor of p and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 676565 by -235.\nAnswer: -2879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4*i**3 - 15 - 3*i**3)*(2*i + 1 - 1) as p*i + c*i**2 + d*i**3 + g + r*i**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 811 + -143. Let u = o + -667.563. Let h = u - -0.063. What is the closest to 0 in h, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2424\/22 + -1*(-16)\/(-88). Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3 - 6. Let f be (-2)\/n + -4 + 3. Solve a + 3 = -f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 95 = 433. Let a = v - 63. Solve -a*u - 4 + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**5\/150 - x**4\/90 - 4*x**3\/45 + 4*x**2\/15 + 31*x. Factor v(d).\nAnswer: 2*(d - 2)*(d - 1)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/16)\/(13\/(-26)). Let h be ((-2 - -1)*0)\/(-1). Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 1102 - 2148 = -1486 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*-2*(-1)\/(-6). Suppose -k*i - 3*j + 43 = 10, 16 = 4*j. Calculate the greatest common divisor of i and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:06 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77400017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329994.\nAnswer: 2, 664997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -131, -413, -857, -1463?\n\"Answer: -81*o**2 - 39*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1479?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345 - -632. Let c(s) = -487*s - 495*s + g*s. Let p(k) = 27*k**2. Determine p(c(b)).\nAnswer: 675*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)*p)**(-3)\/((p\/p**(-1\/13))\/(p**(-1)*p)))**8 assuming p is positive.\nAnswer: p**(1136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is -821454 at least -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095042 to the power of 1\/2, to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 18. Let f be (-42)\/4*-1*4\/7. Let s be d(f). Suppose -24290 = -s*c + 2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - -1?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**3 - 8*m**2 - 16*m + 4. Is d(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 + 12 = 0. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + 11 + 4 - (65 - 31)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-559)\/(-104))\/(-43) - (-13593)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -358, -709, -1050, -1381?\n\"Answer: 5*p**2 - 366*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.543283 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 69*c**2 + 367*c - 164. Let f be k(-74). Solve -21*t + f = 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = 3*c. Let f(s) = 5*s + 5. Let k(w) = w + 1. Let v(q) = c*f(q) + 6*k(q). Let h be (1*(-3 + 3))\/(-1). Determine v(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*s**4 + 3*s**4 + 4*s**4 - 1 + (-4*s**4 + 0*s**4 + 5*s**4)*(0 + 0 + 2) - s + s + 2*s**4 + 157*s**2 - 157*s**2 + 191*s**4.\nAnswer: 179*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3393*s**2 - 6781*s**2 + 3389*s**2 + 65*s**4 - 2*s**3 to m + y*s**4 + d*s + j*s**3 + p*s**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154190 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5912124 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -375*m**2 - m + 1. Let h(k) = -k**2 + 8*k + 1. Let y be h(8). Let i be v(y). Let p = i - -14627\/39. Calculate the common denominator of -58\/15 and p.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2 - 81032*v - 1947072 = 0. Calculate v.\nAnswer: -24, 20282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 139957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*r + 222, -2*h - h = 5*r - 404. Calculate the remainder when 153 is divided by r.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/143? (a) 3 (b) -5 (c) 5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3656 and -67\/270?\nAnswer: 493560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*k + 3 = 278*k. Factor 20*n + 32*n - k*n**2 - 203 + n**2 - 189 + 54.\nAnswer: -2*(n - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 870334.8 days?\nAnswer: 75196926720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q + o - 34953, o + 17481 = 2*q. Let z = q - 12989. What is z rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517655 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*-3)\/((-6)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1165*k = -1170*k. Let l(f) = f**2 - 2*f - 9. What is l(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4343529881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. What is the third derivative of 3*j**3 + 6*j**2 + 2*j**2 - k*j**2 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684982 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -41, -67, -103, -149, -205?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16520)\/(-177))\/(2\/(-5700)). What is d rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 14*t - 190. Let m be r(8). Let k be 3\/m*18\/(-54). Are 0 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11827 or 11820?\nAnswer: 11820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -240. Suppose -g - 5*m = -s, 0*g = 2*g + 4*m - 476. Suppose -2*p + 7*p - g = 3*d, -p - 5*d = -32. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 4.060987?\nAnswer: -0.08121974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-47)\/((y**(-2\/3)\/y)\/(y\/(y*y**(-7)*y)*y)) assuming y is positive.\nAnswer: y**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 126*t + 3128. What is i(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*376568.4\nAnswer: 150627.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/9))**(-1\/9)*(h\/(h*h**(1\/19)\/h*h))\/((h*h**(-3\/16))\/h) assuming h is positive.\nAnswer: h**(3017\/24624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24391 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**3 + 2303*w - w**3 + 239*w**5 - 1625*w + 892*w wrt w.\nAnswer: 4780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936644927 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 2}. Give prob of sequence ccj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 18040330.\nAnswer: 469048580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 25*w**2. Let l(a) = 38 + 34 - 4*a - 98 + 26. Calculate l(t(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*n = -72, 3*n + 51 = 698*y - 695*y. Let h(d) = -d**3 + 13*d**2 - 3*d + 36. Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 18557?\nAnswer: 74228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115024 to the power of 1\/2, to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at least -176553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 14 = 5*a, 2*t - 3*a = -0*a + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -339.\nAnswer: -4\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2982.39 - 2946. Let a = -36 + o. What is a rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6436150 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4730887, -9461770, -14192653, -18923536, -23654419, -28385302?\n\"Answer: -4730883*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120 (base 3) to base 4.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4125 (base 7) to base 13.\nAnswer: -86a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((19\/2)\/(825\/(-8250)))\/1\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.67 and -0.13561.\nAnswer: 0.53439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 454992 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20 - 6*h**2 + 12 - 9*h**2 - 19 wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 + (7 - (13 - 5)). Let f be r - (-6)\/4*(-176)\/(-165). Sort -0.2, 5, f in decreasing order.\nAnswer: 5, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 2569 + 374 = 58*j + 57*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1276 - -697. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57217146?\nAnswer: 2, 3, 7, 23, 61, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 10*i + 8. Let v be t(6). Let y = 3 - v. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - a - 2*a**3 - 4 + 4 as j*a**2 + u*a + g + x*a**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)\/(a*a**(2\/19)))\/((a**0*a*a)\/((a\/(a**(-2\/5)\/a))\/a*a)) assuming a is positive.\nAnswer: a**(-307\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/9 + 3444*y + 13343778 = 0?\nAnswer: -7749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/170*1*(-3)\/(-3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -7*(-78)\/54?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/21)\/((-5)\/7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 27, -35, 361 in descending order.\nAnswer: 361, 27, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 5*v + 130. Let g(c) = -2*c**2. Give m(g(s)).\nAnswer: -8*s**4 + 10*s**2 + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 814244126 a multiple of 7336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -335 - -2011\/6. Let y = -3 - 5. Let u = y - -8.3. Which is the second smallest value? (a) j (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3749 - 0.0251. Which is the second smallest value? (a) -2.3 (b) 27 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143459 is divided by 28555?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 3. Let i = 5 + v. Suppose -3*n + 3 = -i*n. Solve 5 = -a, 0*l + 13 = l - n*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1 - 1) + 1 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2056 - 2051. Let j(q) be the second derivative of 0*q**6 + 0*q**3 + 1\/100*q**d + 0 + 0*q**2 - 1\/210*q**7 + 0*q**4 + 8*q. Factor j(s).\nAnswer: -s**3*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 84 = 11*c. Suppose -3*g + 12 - 78 = 0. Is c greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 2\/17, -130, 4\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3243 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, c: 1, w: 7, n: 2}. What is prob of sequence cnn?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m + 40 = 4*n, 0 = -4*m + 4*n - 32. Let i(c) = c**3 + 8*c**2 - c - 5. Determine i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/22 (b) -2\/13 (c) -5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 0.3. Let n = -0.3 - -2.3. Let w = n - t. Which is greater: -1\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.06. Let r = -0.02992 - v. What is r rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 80. Suppose 8 = c*d - 9*d. Let l = 23 - d. What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -97 and -96 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -104, 2, -1, 49, 0 in descending order.\nAnswer: 49, 29, 2, 0, -1, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93476 or 93477?\nAnswer: 93476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 - 8*r - 3. Let f(t) = 9*t**2 + 10*t. Let c(y) = 289*y**2 - 263*y**2 + 8 + 29*y - 7. Let j(a) = -3*c(a) + 8*f(a). Give -5*j(k) + 4*l(k).\nAnswer: 2*k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 - -0.4. Let u = 345 + -679. Let f = u - -353. Which is the fourth smallest value? (a) -2\/3 (b) o (c) -2\/5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -604*((-2)\/4 - 0). Let l = 4649409\/13 + -357949. Let o = f + l. What is the biggest value in -1\/2, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.01329 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -0*l - 8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 10)*(0*b + 0*b - b + (-b - 5 + 5)*(1 + 3 - 3) + 23 - 23 - 18*b).\nAnswer: -100*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (2 + -6 + 16 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 20 = -4*q + 4*r, -2*r - 4 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 71. Suppose -f = -c - 6. Suppose 25*l - 26*l + 5 = c. Solve -24 = -l*y - 2*b, 3*b + 8 = 4*y - b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 12, -3, 28 in descending order.\nAnswer: 28, 12, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -2*9\/6. Suppose q*c = -b + 19, -9 - 9 = -2*c - 3*b. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) + 1 + -2. Let i be (z + 0)*1\/(-2). What is the derivative of -5*u + 1 + i*u + 3*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d + 1 + 14*d**2 - 2*d + 2 - 3 in the form x*d + s + z*d**2 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.1707 + -0.1707. What is the nearest to 0.2 in u, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11 + ((-22689)\/(-936) - 14) and -161\/234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 3.1.\nAnswer: -0.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -21?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaa when three letters picked without replacement from oooooooaaa?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - u**2 + 3*u - 2. Let o be b(2). Suppose 10*i - 600 = o*i. Suppose 0*n + i = 5*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -89*l + 97*l - 4*z, -4*l + 28 = 4*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-0.0569.\nAnswer: -0.9673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2 + c*d**2 + 9854*c*d - 2*d**2 - 3*d - 1291 wrt c?\nAnswer: -2*c + d**2 + 9854*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/360 and -47\/108.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 29 + 66 = 0. Let y(i) = -3*i**2 - 20*i - 22. Let k be y(a). Suppose 1\/6*f**5 - 1\/6*f**2 + 0 - 1\/6*f**k + 0*f + 1\/6*f**4 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 97 + 23 = 0. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 - 38*s - 11. Is d(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 306, 552, 722, 780, 690?\n\"Answer: -6*p**3 - 2*p**2 + 294*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*p + 20, 2*p + 2032*n + 24 = 2036*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 - 7*b**3 - 6*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900990003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -6 (b) 2\/9 (c) 2\/443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -9\/3575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.881093 rounded to two decimal places?\nAnswer: 33.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**4 + 30*a**2 - 21*a + 6. Let k(w) = -w**4 - 6*w**2 + 4*w - 1. Let p(v) = -21*k(v) - 4*r(v). Let p(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*w**3 - 1\/8*w**2 + 1\/8*w**4 + 0 + 1\/8*w.\nAnswer: w*(w - 1)**2*(w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (((1*sqrt(125) - sqrt(125) - sqrt(125)) + sqrt(5))*-3)**2 + (0 + sqrt(125) + 0 - sqrt(125))**2).\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 247959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14917300 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i + 3. Give w(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 1\/40*j**5 + 0*j**3 - 1\/24*j**6 + 4*j - 1\/24*j**7 + 0*j**2 + 0*j**4 + 0. Solve k(x) = 0 for x.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 43 + 41 = 0. Suppose -5*x - 2*n = -18, -5 - g = -3*x - 5*n. Solve 3 = -v + x*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*v + 44 = -2*v, -k - 2 = -4*v. Let q(a) = a**2 - 9*a - 5. What are the prime factors of q(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -8*o - 28, -3471*o + 3473*o + 59 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11674404000 rounded to the nearest one million?\nAnswer: -11674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 24 = 63. Suppose 3*a - 6*a = -3*i + d, 2*i + 5*a = 58. Let c = i - 22. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose -c*l + 0*l = -z - 113, 3*l + 4*z - 80 = 0. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010773 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -0.04231.\nAnswer: -34.04231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4, w: 4, k: 6, j: 4, e: 2}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + b = 3320430 - 3320427, 4*z - 140 = -12*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011020011000 + 0?\nAnswer: -12011020011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5848 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) 5 (d) -14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 4*y + 4. What is i(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 258536121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -45, -7, 7 in ascending order.\nAnswer: -45, -7, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 68*c**4 + 3*c**3 - 56*c + 3. Let t(a) = -a**3 + a - 1. Let n(u) = -r(u) - 3*t(u). Find the second derivative of n(v) wrt v.\nAnswer: -816*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3016026 and 936.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 0 + 6 + -3. Let s(l) = -6*l**2 + 3*l**2 - l**c + 2*l**2. Let r(j) = 20*j. Calculate r(s(t)).\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629983 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 168, 190, 208, 216, 208?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068396049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**2 - 1\/10*v**5 - 1\/3*v**4 - 1\/3*v**3 + 15*v + 0. Factor k(f).\nAnswer: -2*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 56 = 0. Suppose 5*r = 3*a + t, -2*a + 0*r - r = -3. Let y(d) = d + 2. Let v be y(-7). Sort a, 1, v in descending order.\nAnswer: 1, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 2*y - 5 + 2. Let u be q(5). Suppose -u*k + 59 - 7 = 0. Calculate the remainder when 50 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 530*w**2 - 2*w + 1. Let s(o) = -108*o**2. Give r(s(i)).\nAnswer: 6181920*i**4 + 216*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*s**2 - 415*s**2 - 429*s**2 in the form p*s + c*s**2 + z and give c.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/7, -1, -3611, -5 in descending order.\nAnswer: 1\/2, 2\/7, -1, -5, -3611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.64 - 16.44. What is the third biggest value in k, -5, 2, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 729003 times -0.078\nAnswer: -56862.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h**2 + 229*h**2 - 96*h**2 - 64*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) 6.4 (b) 0.5 (c) -2\/21 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45426 + 45633. Solve 23*y - v + 138 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q**2 + 2*q**2)*(-q**2 + 0*q**2 + 2*q**2) + (4*q**2 + 3*q**2 + 5*q**2)*(-378 + 81*q**2 + 378).\nAnswer: 971*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.2 - -356.2. Let t = a - 341.0157. What is t rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*y = 10 - 10. Solve 3*t = -5*m + 4*t - 27, 5*t + 15 = y for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 15 = -h + 3*z, -2*z + 0*z = 0. Let f(x) = -x**3 - 12*x**2 - 15*x - 16. Calculate f(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 319 - 314. Let l be 7\/((-630)\/(-12)) - (-172)\/60. Sort l, 2, -3, w in descending order.\nAnswer: w, l, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, n: 1, p: 2, a: 1, t: 2}. What is prob of sequence nt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**6\/5 + 2*p**3\/3 - 7*p. Find the second derivative of n(t) wrt t.\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9281\/6 - 1547. What is the third biggest value in 0.5, w, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(-2\/3)*a*(a**(-2\/7)\/a*a)\/a*a\/((a\/(a*a\/(a*a\/(a*a**1)))*a*a)\/a) assuming a is positive.\nAnswer: a**(17\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-38)\/(-4) - (-5)\/(-2). Let t(y) = 5*y + 2. Let m(i) = 3*i + 1. Determine u*m(j) - 5*t(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 20, 4*m + 0*m - 31 = 3*v. Solve -m*j + 4 - 12 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**5\/2 - 3*a**4\/2 - 9*a**3 + 8*a**2 = 0. Calculate a.\nAnswer: -2, 0, 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/114 - (-6)\/57. Let i(w) be the third derivative of -z*w**3 + 0 - 5*w**2 + 1\/12*w**4 + 0*w. Determine i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -32. Suppose n = 3, -3*a + n - 3 = -0*n. Solve a = v + 1 + x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272677 times 0.5\nAnswer: -136338.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*1 - ((sqrt(162) - (1*sqrt(162) + sqrt(162)))\/sqrt(9) + sqrt(18)))\/(-6*(2*sqrt(216) + sqrt(24))).\nAnswer: -sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 61, 146, 255, 382, 521, 666?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2320, -2319, -2318?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(35)\/(sqrt(5) + sqrt(495)\/sqrt(11)) + sqrt(1008)*6.\nAnswer: 5 + 289*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 20. Let j = -14 + 14. Is x equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 25*z - 5. Which is the smallest value? (a) 2\/9 (b) z (c) 6 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -32*x**3 + 316*x**2 + 808*x + 96 = 0.\nAnswer: -2, -1\/8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 8*x - 8*x + 201*x**3 - 6*x**3 + 538*x**3 as h*x**3 + c*x + q + i*x**2 and give h.\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -239 - 0?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665456 divided by -4.\nAnswer: -166364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4075, -4139, -4203, -4267, -4331, -4395?\n\"Answer: -64*i - 4011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 1251983169?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -0.36. Let y = 0.7 - l. Let w = 0.7 + y. Which is the nearest to 1? (a) w (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + u = -167, 5*s = 3*u + 608 + 227. Suppose 4*q - 2 = 10. What is the second derivative of 2*d + s - 15*d**q - 330 + 163 wrt d?\nAnswer: -90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*(-117 + 7). Suppose 23 = -2*n - 5*h - 82, n + 2*h = -i. Let r = n - -102. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*c + 76*c + 435 = -775 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 264 = 7*g, 5*i + 244 = -2*g + 3*g + 5*g - 3*g for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiiqipnuuunnnuqpup. What is prob of picking 2 i and 2 q?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y - 5. Let g = 0.5 + -3.5. Let l = -9.185 + 14.185. Which is the fourth biggest value? (a) -1 (b) g (c) l (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324538521 to the power of 1\/2, to the nearest integer?\nAnswer: 36394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-9204)\/(-184) + (-523)\/24058\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2742720936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7073 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10)*(9 - 69\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1440 by 2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose -12 = -6*s + y*s. Let u(l) = -l**3 + 6*l**2 - 6*l - 4. Let h be u(s). Is -1\/3 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 1. Let t be p(-6). Let b = 1072 - 1059. Let y(d) = -d + b - 29 + t. Calculate y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*a**3 - 215.\nAnswer: 327*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 31, 79, 147, 241, 367, 531?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24745540289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 - 26*p - 89 - 3*p.\nAnswer: -29*p - 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 9*j - 48. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 - 26.3. Let q = v - 132.6. Do q and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/15 and 1\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 5, w: 5, z: 2, x: 5}. What is prob of picking 2 w and 1 j?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*g + 1 = -2*g, 0 = -13*s + 4*g - 4. Let z = -0.28 + 4.08. Let x = 4 - z. Which is the nearest to 2? (a) x (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 1755*t**2 - 3495*t + 1745.\nAnswer: -5*(t - 349)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/3)\/((u\/(u*u**(-2)))\/u)*u**(2\/13)*u*u**(1\/3)\/u*u**(4\/3)\/(u*u*u**(-4\/7))*u**(2\/5)*u*u**(-4)*u assuming u is positive.\nAnswer: u**(-853\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + v)*(-5 + 5 + v) + 0*v**2 + 0*v**2 - 3*v**2 + 0*v**2 - v**2 + 0*v**2)*(4 - 2*v - 4).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 40 + 30. Which is the closest to 0? (a) -1\/4 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 4*h**2 - 6*h - 5. Let i(d) = -6*d - 14. Let q be i(-2). Calculate y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 20 = -s - 5*w, -5*w = -2*s + 11. Suppose s*t - 8 = 31. Let i = 22 - t. Calculate the remainder when 34 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -265354901.03764 and 3.\nAnswer: -265354898.03764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116 + 240 - 185*v - 129 + (-4 - 2 + 0)*(v + 2*v - 4*v).\nAnswer: -179*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6639185 tonnes?\nAnswer: 663.9185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 6*j - 84. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 2726?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -45*w + 19*w + 31*w. Let h(b) = -8*b**2. Calculate h(p(o)).\nAnswer: -200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007575263 to 6 dps.\nAnswer: 0.007575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 3*j + 5. Let z be b(8). Suppose 3*p - z - 36 = 0. Let -37*m + 27*m**4 + 16*m**5 + 31*m - p*m**2 - 15*m**3 + 5*m**5 = 0. What is m?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19648 and 4?\nAnswer: 19652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19*15\/(-2565)*(-2)\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2576 - 1?\nAnswer: 2575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2*a**6\/3 + 52*a**5\/5 + 23*a**4 + 44*a**3\/3 - 247. Let l(o) = 0. What is o?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50\/3 or -2\/5?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-4*sqrt(10))\/sqrt(5))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 37 = 5*d, -2*d + 2 = -0. Calculate the greatest common divisor of a and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-115))\/(119\/(-5474)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*v - 25. Calculate the common denominator of ((-26)\/(-40))\/((-1)\/v) and 83\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 33*c**2. Let b(y) be the third derivative of -y**5\/60 + 19*y**2. Calculate b(n(t)).\nAnswer: -1089*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68989 smaller than 68990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -4. Let j be ((-2)\/4)\/(6\/m). Let s = 11953 + -11951. Sort 0.3, j, s in ascending order.\nAnswer: j, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 0*p - 7 - 1. Suppose 2*c + 2 = 4. Suppose -9 = 4*r - 5*k, -3*r + 4*k - c = 5. Let z(i) = -1. Determine r*z(a) + f(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (9 - 5) - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 1 + 3 - 4. Let d(t) be the first derivative of t**3\/3 + 7*t**2\/2 - 10*t + 4. Let h be d(-8). Calculate b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z. Let v(q) = 3*q + 1. Let i(p) = -56*p - 21. Let m(f) = i(f) + 21*v(f). What is m(r(y))?\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/8*126\/(-35). Let o = 77 - n. Put o, 6, 3, 4 in descending order.\nAnswer: 6, 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - -65)*3\/(-1 - 2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 936 = -7*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -0.037405?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/456 and 121\/6.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 26 = -6, -28 = -4*v + 4*m. Which is bigger: 5\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*x + 788, 8*x + 246 = 9*x - 4*h. Suppose -7*w + 0*w + 518 = 0. Suppose w*b = 72*b + x. What are the prime factors of b?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y + 0*y)*(-5 - 2 + 6)*(-3 + 5*y + 3).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 5*k + 2. Let p be n(13). Let y = 597 + p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10316 is divided by 746.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1850*s**2 - 3775*s**2 - 1621 - 348 wrt s?\nAnswer: -3850*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 1.1. Let f = -46 - -41. Which is the second biggest value? (a) 0 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from hzchczcicccnncizziic?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -958 * 3.\nAnswer: -2874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004641285 to 7 dps.\nAnswer: -0.0004641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8227+36\nAnswer: -8191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4318 + 10511 = -5429. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29106, 29102, 29098?\nAnswer: 29094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 0.2, 1346.\nAnswer: -13, -2, 0.2, 1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.782351 months in millennia?\nAnswer: 0.00139852925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -9*n. Let k(p) be the second derivative of -p**5\/20 + p**4\/12 - p**3\/6 + 3*p**2\/2 - p. List the prime factors of k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133513712 is divided by 237?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170098310 and 200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 349 - 238 = 4*y, 5*y = 2*h - 403. Let g(f) = -2*f - 19. Let b be g(-20). What is the highest common factor of b and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20622 - 20611. Let g(l) be the first derivative of 0*l + x - 2\/5*l**5 - 2*l**4 - 2*l**2 - 10\/3*l**3. Factor g(d).\nAnswer: -2*d*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 150*u - 8. Let d be l(0). Let h = -6 + 4. Let k = -7 + h. Are k and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + m - 6875 = 0, -2*n + 1143 = 3*m - 1607. Let x = n + -637. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-40.9.\nAnswer: 8.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o + 8*o + 3*o + 2*o - 2*o - 2*o + 2*o + 4*o - 4*o + (0 + 0 + 2*o)*(0 + 4 - 2) + 5 - 5 + o + 1 - o - 1 + o + 0*o + o - o - 3 + 3 - 3*o + 2*o + 3*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 34.8. Let v = 6.45 - 0.25. Let y = v + a. Round y to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 + 3*x + 1. Calculate the remainder when 18 is divided by h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i = -8, 3*x - 3*i = 135. Suppose 3*p + 4*v = p + 8, 2*p = -3*v + 12. Calculate the remainder when x is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18664 and 6?\nAnswer: 55992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9351 and 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256494?\nAnswer: 2, 3, 7, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 + 2*y. Let b be a(-2). Let w be ((-316)\/(-6))\/(4\/(-6) - -1). Let q = -16272\/103 + w. Is q >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b**2 - 27 + 9*b**2 + 32 - 2*b)*(-b**2 + 2*b**2 - 2*b**2) in the form x*b**2 + g*b**3 + n + a*b**4 + y*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m - 0. Suppose -m*u = 3*k - 2*u - 13, 11 = 5*k - 4*u. Let t = 293 - 287. Solve 3*i - k = t*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3116*x - 421282 + 78850 = 11468*x for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 - (-22)\/4. Suppose -2*a + 14 = 5*m, 3*m = 4*m - 2. Suppose 3*v = -o + 7, -3*o = -q*v + a + 5. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51539871 rounded to the nearest 1000000?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 423498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -199 + 0*y**2 + 0*y**2 + 497*y**3 - 495*y**3 + 2*y + 17*y**4. Find the third derivative of t(q) wrt q.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-2255)\/(-44) + -38\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3\/3 - 3. Let u(p) = 104*p - 32. Let m(z) = 8*z + 8*z - 3 - 2. Let a(j) = 32*m(j) - 5*u(j). Give a(w(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447699022 to the nearest integer?\nAnswer: 21159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25712 and 1012144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.07, -128, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*b - 1878153, 6*s = b + 3*s - 626051. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 108*k**2 + 117*k - 222.\nAnswer: -3*(k - 37)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -5 + -1)*(1 - 2). Suppose -4*g + 6*y - f*y + 826 = 0, -189 = -g - 4*y. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 5. Let w be r(-8). Let j be 32\/(w*(-2)\/15). Let f = -65 - j. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 716 and 114739?\nAnswer: 458956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**5\/20 + y**4\/2 - 4*y**3\/3 + 6. What is d in k(d) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -14. Let g(f) = -105*f**3 - 1. Let p be g(q). What is p rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32003 - -32126. What is the remainder when a is divided by 76?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-38492.\nAnswer: -3849.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 3*t**2 - 1\/30*t**6 + 0*t**5 + 1\/3*t**3 + 0*t - 1\/105*t**7 + 1\/6*t**4 + 0. What is z in m(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/1150 - (-5 + (-81)\/(-15))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 13164*q + 52640.\nAnswer: (q + 4)*(q + 13160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 + l**2 - 4*l**2 + 3*l**2 - 13*l**2 + 15*l**2. Let w(k) be the second derivative of -k**4\/4 - k**3\/6 - k. Give -8*b(z) + 3*w(z).\nAnswer: -z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v - 54*v = x - 11286, -3*v = 18. Is 28 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5492 and 79845442.\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9466621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y + 4. Let q be b(2). Suppose -4*f = -5*x - 6*f + 18, -5*x - 4*f = -q. Factor 2*n**4 - x*n**3 - 6*n**2 - 9*n**2 - 2*n**2 + 13*n**2.\nAnswer: 2*n**2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*w = -175*w - 1112. Put -0.5, w, -79, -0.08, -4 in decreasing order.\nAnswer: -0.08, -0.5, w, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 - -4 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 0.07\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 4. Let w be v(-3). Let b(p) = -6*p**3 + 4*p**2 - 4*p - 6. Let u(a) = -7*a**3 + 5*a**2 - 5*a - 7. Give w*b(o) + 4*u(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 951 less than 2.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4, 2*k + 1997 = -2*r + 1999 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2, 0 = -8*d - 0*f + f + 25 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let o(p) = -152 + 345*p + 152. Determine n(o(k)).\nAnswer: -345*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + -0.02. Let k = -167723 + 167719. Put -5, 1\/3, k, j in ascending order.\nAnswer: -5, k, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1*(-1166)\/(-16). Suppose -2*i = -7*i - 1430. Let w = i + n. Calculate the common denominator of -67\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45938625, -45938628, -45938631?\nAnswer: -45938634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-14)*1*(7\/(-33))\/((-473)\/(-1419))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/93 (b) 2\/3 (c) 208 (d) -0.5 (e) -20\/7 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwpw when four letters picked without replacement from {e: 7, p: 3, w: 8, x: 2}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485464 a multiple of 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/2))**5\/((a*a**(2\/9)*a)\/a**(9\/5)))**(21\/5) assuming a is positive.\nAnswer: a**(-1841\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14521 is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(525)*-6)\/sqrt(7) + -2 + (sqrt(135)\/sqrt(5))**2.\nAnswer: 25 + 31*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - o - 3)*(-4 - 1 + 4)*(-6*o + 145*o**2 - 1614444*o**3 + 1614445*o**3 + 29*o**2).\nAnswer: o**4 + 174*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10.11 + -27393.3\nAnswer: -27403.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 0.6 (c) -26 (d) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.5 - -11.5. Which is the nearest to v? (a) 3 (b) 7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61510000 to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose k = -b - 2*b + 9. Suppose -5*y - 2*o + 89 = 0, -2 - 6 = -4*o. Solve -4 = -5*c + 1, -b*r = 2*c - y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 274260 and 30.\nAnswer: 274260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/882*98 - (1 + 5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1112068, -2224134, -3336196, -4448254, -5560308, -6672358, -7784404?\nAnswer: -8896446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i + 2. Let k(l) = -4*l + 2. Let b(v) = -3*k(v) + 4*z(v). Let t be b(-5). Suppose 4 = -h + 1, -3*d + 5*h + t = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34822 by 17411.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/18*s**3 + 1\/18*s**4 + 1\/36*s**5 + 0 + 4*s**2 + 0*s. Let n(a) = 0. What is a?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - -4) - (1 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 11*q - 34. Determine o(-8).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2205210608049 + 8?\nAnswer: -2205210608041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) -2\/13 (b) -4 (c) 4 (d) 21 (e) 11\/25 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 6. Let h = p - -11. Which is the closest to -2\/3? (a) 1\/5 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(120)\/sqrt(10) + -6*sqrt(12) + 4))**2.\nAnswer: -320*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 15*g + 5. What is j(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -529, -1811, -4313, -8443, -14609?\nAnswer: -23219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 665 = 668, -g - 4*v = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*a - 176*a + 909*a - 182*a - 185*a - 178*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8962.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26942, -107586, -241998, -430184, -672150, -967902?\nAnswer: -1317446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 9*a - 78, -52 + 22 = -2*g - 4*a for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -149 (base 13) to base 4.\nAnswer: -3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8918 divided by -13.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 17. Let g be i(13). What is the remainder when 102 is divided by (-2 + 0)*(0 - g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 2*j + 144. Sort -1, j, 4, -4 in increasing order.\nAnswer: -4, -1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.435 - -1.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/4551 and 12\/7?\nAnswer: 31857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -329 (b) 5\/4 (c) -1\/6 (d) 0.5 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2 - 4 - n**2 - 2*n - 3*n**3 + 5. Let a(p) = -p**3 - p**2 + 1. Let l be a(1). Calculate the remainder when 4 is divided by c(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 6, -5, 0.09?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 11:48 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -1719.39, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(700)*3 + sqrt(126)\/sqrt(2) - ((sqrt(35)\/sqrt(5))**2 + -5 + (sqrt(7) + sqrt(7) + -2)*-4)).\nAnswer: -20 + 82*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42847000 to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 444, 370, 296, 222, 148?\n\"Answer: -74*c + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 4 in ascending order.\nAnswer: -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 12 - 12 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -z - 9, -3*l - 6 = 5*z + 3. Factor 2*t + z + 10*t**3 - 8*t**2 - 4*t**4 + 0.\nAnswer: -2*t*(t - 1)**2*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:13 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-20)*-4 + 1*451. Suppose -122 + f = 2*v. What is the remainder when 46 is divided by 6\/21 - v\/(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4602 divided by -1534.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-1\/2))**(-9))**2 assuming o is positive.\nAnswer: o**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -6, 0, -3, 5, -13 in increasing order.\nAnswer: -13, -6, -3, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21353 or 19?\nAnswer: -21353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1. Let x(m) = 11*m + 1. Let u(i) = -3*c(i) - x(i). Let q(j) = 5*j + 2. Suppose -4*o - o - 30 = 0. Calculate o*u(s) - 13*q(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0024 + -5.\nAnswer: -2.9976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.522055 + 0.5245. Round g to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6564 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Put n, -2, 5 in decreasing order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -292 + 8.618976838.\nAnswer: -283.381023162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2748 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 842, 1262, 1682, 2102?\nAnswer: 2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.7 - 21. Let l be 1 + 2 + 339\/(-126). Let q = 1\/7 - l. Which is the second biggest value? (a) q (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:46 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sff when three letters picked without replacement from svfnvf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = -2*p. Let q = p + 6. Solve -2*u = q + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.78762km to micrometers.\nAnswer: 68787620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 274 + -272. Suppose 0 = -3*a + d*a + 5*y + 617, y - 3189 = -5*a. What is the greatest common divisor of 49 and a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -112*n**3 + 8*n**2 - 2*n - 8. Let t(c) = 75*c**3 - 5*c**2 + c + 5. Calculate 8*t(f) + 5*u(f).\nAnswer: 40*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -292\/7 - 2\/7*p**2 + 42*p.\nAnswer: -2*(p - 146)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 456890.744 to the nearest one thousand.\nAnswer: 457000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -79 (b) 2\/5 (c) -74 (d) 3 (e) 7\/12 (f) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:11 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/10*115\/(-69). Let m(r) = 4*r - 20. Let q be m(k). Suppose -2*x - 4 - 6 = -q*v, 5*x - 2*v - 15 = 0. Solve -x*z + 3*l - 6 = 2*l, 0 = 5*l - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/603?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/17 + 8*i\/17 + 8\/17 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 10*b + 25. Suppose -56 = 3*y + 4*y. Let m be n(y). Solve -2*i - 6 = -2*r, 2*i + m - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 5:47 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 624374749?\nAnswer: 624374761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 4)*(-9 - -10) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 9 + 2371\/9. Let u = y + -265. Suppose 0 - u*n**2 + 0*n**3 + 4\/9*n**4 - 2\/9*n + 2\/9*n**5 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -689\/3, -1.261, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 864\/(-4590)*(-2)\/((-96)\/(-60))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 630*q**4 - 188*q**3 - 1485370*q**2?\nAnswer: 15120*q - 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3003986*c**2 + 1169439?\nAnswer: 6007972*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzddzzudzdz. Give prob of picking 1 d and 2 z.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 6499418.\nAnswer: 25\/6499418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/40 - -3)\/((-20)\/45 - (-65572)\/148590)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 19*v + 1224 = 0. Let i be -2 + (-9)\/(-4) + (-85)\/v. Find b, given that 1\/3*b**2 + i + b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 times -432?\nAnswer: 156816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(65)\/(sqrt(5)*2).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168149*d*l**2*t**2 - 8714*d*l + 2*d*t**2 - d + l**2*t**2 + 16*l**2*t + 21*l + 9*t**2 wrt l.\nAnswer: -336298*d*t**2 + 2*t**2 + 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*l**2 - 2864128*l - 43232 = 0.\nAnswer: -5404, -4\/265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1129709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1219 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7275857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b**3 - 11*b - 4 + 16*b**3 + 11*b + 0*b in the form l + a*b + g*b**2 + y*b**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-329)\/(-6))\/47)\/((-1)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - -5) + 5\/(-4 - -5). Is 29 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-37 - 3) + (-4 - -1). Let a = -26 - o. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fynytynylfif. What is prob of picking 1 i, 1 f, and 1 t?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 142. Let u = k + -68. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Suppose -2*h = h - 3. What is the units digit of (1 - -3)\/(h\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -2*y - 5*w + 5, 0 = -w + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7722739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + 0*p - 5*p)*(-17*p + 1 - 1) to the form w + o*p**2 + s*p and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(34)\/sqrt(2)*3.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + 5 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -201137*d + 201141*d - k + 4, -5*d + 4*k - 27 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, y: 7}. What is prob of picking 3 g?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/3)\/((-1)\/3). Solve m*b + a = 6, a = -5*b + 6*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, -2\/103, 10, -4, -0.14, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56*87\/(-3654))\/(1\/9*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32002331332 (base 4) to base 15\nAnswer: -4cb034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(250))\/sqrt(5)*3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 3*o**2. Let i be v(-3). Suppose -3*s + 47 + 19 = i. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15538 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1517*s + 1522*s - 2*n - 21 = 0, 3*s + 2*n - 19 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255314359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -2.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 15*y + 16. Calculate q(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*t + 23 = 0, -4*t + 0*t = -3*q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3639 - -3643. What is the highest common factor of s and 1868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51743, -51734, -51707, -51656, -51575, -51458, -51299, -51092?\n\"Answer: v**3 + 3*v**2 - 7*v - 51740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 4*p - 284. Calculate w(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -161*u + 64. Let g(i) = 81*i - 32. Let k = -252 + 250. Let q(n) = k*l(n) - 5*g(n). What is the first derivative of q(a) wrt a?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + (-43 - (-19 + -35)) - 22.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26231095 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -54 and -624.\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 89*n**3 - n**2 - 3*n - 1. Give k(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16*d**3 + d**2 - 3*d + 2. Let z be g(2). List the prime factors of z\/(-6) + (-2)\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*g**3 + 302*g**2 + 3*g - 1797.\nAnswer: -192*g + 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1742121 by 9.\nAnswer: -193569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -2. Let f be m\/6*(-8 + 5). Is f at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 7*s - 4. Let q(x) = x. Let h(v) = -4*v + 31. Let o(b) = h(b) + 3*q(b). Let a be o(8). Suppose -a*g + 8 = -25*g. Give y(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(3\/2))**(-7\/5)*(b**1)**(-1\/2) assuming b is positive.\nAnswer: b**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r + 3. Suppose -7*z = -2*z - 35. Suppose -z*b = -2*b. Determine v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 178, -110, 5, 0, -1 in increasing order.\nAnswer: -110, -4, -1, 0, 5, 6, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18511*s = 5*y - 18500*s + 85, y - 3*s = -43 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - i - 5*i. Calculate k(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Let c(g) = 5*g**2 + 4*g. Let x(l) = -11*l**2 - 9*l. Let h(z) = 9*c(z) + 4*x(z). Calculate j(h(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2159 + -3727. Let c = -1008 - w. Suppose 6*g = -g + c. Is g a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + q + 1. Let i be b(1). Solve -z + 6 = i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5180910 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 10*b + 54. Calculate k(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 211066500 divided by -42213300\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 85\/(-34) - -5. Which is the third smallest value? (a) 4\/5 (b) 3 (c) w (d) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + 1228\/8. Suppose -2*u + 4*u = a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1752 - 1753. Which is smaller: 6\/139 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ejsewesjwejwkjjsewew?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h**3 - 645*h**2\/4 + 755*h\/4 - 75\/2 = 0. Calculate h.\nAnswer: 1\/4, 6\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.1144.\nAnswer: -0.3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*m = 29 - 22, 0 = -2*z + 4*m + 32. Let k(t) = 230*t**2 + 65*t - 65. Let o(p) = 21*p**2 + 6*p - 6. Calculate z*k(l) - 65*o(l).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 111 = 26*r. Suppose -3*f + r = 13. Suppose 0 = 3*b - f*b + 380. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 20. Let d be l(10). Suppose 12*g - 9*g - 12 = d. Factor -24\/5*m - 2\/5*m**g - 26\/5*m**2 - 8\/5 - 12\/5*m**3.\nAnswer: -2*(m + 1)**2*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209682 divided by -66\nAnswer: -3177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 7, y: 9, c: 1}. Give prob of picking 1 c and 3 h.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 174. Let l = x + 86. Which is greater: 7\/3 or l?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:40 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 15\/2, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*h - 5. Calculate the remainder when 98 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03041902353 to 6 decimal places.\nAnswer: -0.030419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 7*r - 17 = 6*r, r - 20 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3794, 0.2, -3, 0.4.\nAnswer: -3, 0.2, 0.4, 3794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 104. Let v(g) = -5*g + 14*g + 0*g**2 + c*g**2 - 14*g**2. Let u(y) = 3*y**2. Give v(u(h)).\nAnswer: -63*h**4 + 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - c**4 + 3*c**4 + (-1 + 3 + 0)*(c**4 - 2*c**3 + 2*c**3) + (0*c**2 - 3*c**2 + 2*c**2)*(2*c**2 + 0*c**2 + 0*c**2) - 2*c**4 + 3*c**4 - 3*c**4.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2153280 is divided by 359.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1450, -9774, -32374, -76390, -148962, -257230, -408334?\n\"Answer: -1190*d**3 + 2*d**2 - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhpmmmmmppmmp. What is prob of sequence hmph?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(4*s - 3*s + s)*(11 - 9 - 16) + (-3 + 2 + 0)*(-3*s - s - s) - 4 + 4 - 2*s.\nAnswer: -53*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 205 + -35. Suppose -2*n + 438 = -z. Suppose -2*s = -8*h + 10*h - n, 0 = -s + 2*h + 167. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/10 - (-9 + (-188)\/(-20)). Suppose 29*y - z*y = -225. Let l(p) = -p**2 - 11*p - 21. Calculate l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62165583 and 153306.\nAnswer: 124331166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 925?\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13023 or 1?\nAnswer: -2\/13023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 13*b**2 + 10*b + 3. Let l be f(-10). Suppose 7*t = 105 + l. Suppose 5*p - t + 9 = 0. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (332\/8134)\/((-2)\/(-14))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 1, o: 1, e: 1}. What is prob of sequence fe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.5 + -32. Let x = 15 + m. Suppose 0 = -s + 5*s. Which is the closest to s? (a) x (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Suppose 3*t = -3 - 0. Let k be t\/(2 + -1 + 0). Is k at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7000*m. Let z(d) = 2*d. Calculate z(a(c)).\nAnswer: -14000*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3231433 + 3?\nAnswer: -3231430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u - 20 = -14*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 0. Suppose b = -u*b - 2*a - 46, -b = a + 50. Let j = -34 - b. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1686, 3385, 5094, 6819, 8566, 10341?\nAnswer: 12150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 - 3 = 0. Let f(y) be the second derivative of y**4\/24 + y**2 - y. Let j(z) be the first derivative of f(z). Calculate j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3409*p**3 + 633 wrt p?\nAnswer: -10227*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11904.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 117 = 6*y. What is the highest common divisor of y and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.282.\nAnswer: 0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 396*y**3 - 535*y**3 + 84.\nAnswer: -931*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Suppose 10*l + 3*l = 26. Let a(u) = 56 + 4*u + l*u**2 - 120 + 64. What is b(a(z))?\nAnswer: -4*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22414057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12994845607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/3 + 106*c**3 - 7268*c**2\/3 + 17296*c - 40320 = 0. What is c?\nAnswer: -180, 6, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.8644 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -115, -165, -233, -325, -447, -605?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5 = w + w, 3*k + 9 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (417 - 417 + 128*z**2)*(3 - 4 + 3)*(-4*z - 3*z + 0*z)*(0*z - 2*z + 3*z) to l*z + r*z**3 + m*z**4 + u*z**2 + o and give m.\nAnswer: -1792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -164295, -328590, -492885, -657180?\n\"Answer: -164295*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010111110111010 - -100010?\nAnswer: -10010010111110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102111 (base 3) to base 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10104 (base 5) in base 7?\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 466507, 1866030, 4198553, 7464064, 11662551?\n\"Answer: -2*r**3 + 466512*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -11. Suppose -9*n = -g*n - 2. Solve z - n = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -17086, 7, 81, 4 in increasing order.\nAnswer: -17086, 0, 3, 4, 7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/4 - 292*j**2 + 85264*j = 0. What is j?\nAnswer: 0, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 19 + 31. Suppose -10 = 4*k + k. Let i = k + 15. Solve -j + 3 = 2*b + c, -b + i = 4*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {y: 2, v: 3, k: 1, p: 1, u: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 776, 1168, 1574, 2000?\nAnswer: 2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -892, 3, -14, 1\/9.\nAnswer: -892, -14, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - 2*l + 17*l)*(-4 + 3 + 2)*(-2*l + l + 0*l)*(0 + 1 + 1).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 448 = -2*l - 418, 3*l = -j + 47 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52256, -52255, -52248, -52229, -52192, -52131?\n\"Answer: v**3 - 3*v**2 + 3*v - 52257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 24*r + 1. Give x(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 19*g**2 + 43*g + 21. Let f be 63\/(-6)*8*1\/4. Let p be r(f). Sort 28, p, -2.\nAnswer: -2, p, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 + 4*y - 22. Suppose 6*i + 68 = 20. Find the common denominator of z(i) and -48\/53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 7*b + 21)*(4*b - 4*b + 2*b**2) + (3 + 2*b**2 - 3)*(3*b - b - b).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8*15\/32)\/(3\/3348)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 11:54 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499, -775, -1059, -1351?\nAnswer: -1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 64 = -2*w. Let j be 96\/(-10)*20\/(-6). Suppose 51 = 3*l - 3*i, 0 = 3*l - 5*i - j - 21. Calculate the highest common factor of l and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 1, a: 2, h: 4}. What is prob of sequence zo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000.706 milliseconds to seconds.\nAnswer: 2.000706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 50\/(-15) + 64\/(-78)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 549*f**7\/14 + 1865*f**4\/6 + 31*f + 22. What is the third derivative of g(l) wrt l?\nAnswer: 98820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 9*k + 463. List the prime factors of k.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210 and 289795?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) -3 (c) -0.4 (d) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -5. Let s = 34.6 - 61. Let a = s + n. What is a rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 30 = -2*c + 3*b, -3*b - 16 = -2*c. Calculate the least common multiple of 178\/9 - 14\/(-63) and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000111110000100 (base 2) in base 14?\nAnswer: -45228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -792 - -472. Let t = n - -225. Let o = -48 - t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (189 - 447 - -181) + (0 + -15 - -2)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r. Suppose -4*t = -r*t. Suppose u + t = 35. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 23. Find y such that -2\/3*y**v + 4\/9 + 2\/3*y - 2\/9*y**4 - 2\/9*y**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000322202 to six dps.\nAnswer: -0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 1\/4666559, -5, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10677 - -10695. Suppose -2*d - 5*a - 11 = 0, -5*a - 17 = -2*d + d. What is the least common multiple of m and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 1. Calculate h(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 54*l = 3264. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-296)\/(-8806))\/((-16)\/(-56))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -16*v + 18*v. Let g(f) = 5 - 2*f - 6*f + v*f + 1. Suppose 5*w = 46 + 14. Determine g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 + 32*n - 52. Let r be u(27). Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-4)*8\/(-2). Suppose w - 2 = r - 3*m, -m = 1. Suppose 0 = 3*f + r - 62. What is the least common multiple of f and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 15. Let i be z(9). Let v be 21 + (3 - (i + 7)). Solve -2*p - v = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(-5 + (sqrt(2178) - (sqrt(2178) + 1))))**2 - (sqrt(2178) + sqrt(2178)*-1)**2*4*5) + -2)*-2.\nAnswer: -2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-3)\/(-6)*-1). Calculate the common denominator of (-582)\/48 + (-1)\/a and 1265\/1290 + ((-48)\/9)\/8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3973, -123?\nAnswer: -3973","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -114101.4 rounded to the nearest 100?\nAnswer: -114100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9068807 milligrams?\nAnswer: 0.0000009068807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2067 or 2069?\nAnswer: 2069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 2\/(-1)*(-28)\/16*10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 - 271*v**3 + 273*v**3 + 5*v**2 - v**4 - 14*v to f*v**2 + g*v**3 + l*v**4 + y*v + q and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**5\/20 - 7*j**4\/8 - 5*j**3\/2 + 52*j**2. Let f be n(-6). Solve -5*z + s + 16 = 0, f*z + 5*s - 10 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -568.2 - -572.2. Let o = -1 + -21. Which is the nearest to o? (a) 0.4 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653957.2 millennia to years.\nAnswer: 653957200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 3*r + 2*r**2)*(4257*r**2 + 3773*r**2 - 1419*r**2) as o + s*r**4 + h*r + z*r**2 + q*r**3 and give s.\nAnswer: 13222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f + 104. Let v(s) = -17*s - 196. Let a(x) = -7*t(x) - 4*v(x). Determine a(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 2. Suppose -5*l + 192 = l. Let z = 34 - l. Calculate p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1455, 1479, 1503, 1527, 1551?\n\"Answer: 24*p + 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.2 (c) 0.5 (d) -15 (e) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 - -216.4. Let j = 49 - x. Which is the third smallest value? (a) -1\/2 (b) j (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*z + 21. What is the units digit of (4 + -1)*(-248)\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 60. Is -1 + -2 + g + 380 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 518595 divided by 103719\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 34. Suppose 5*k - m = -4. Solve 10 + 0 = k*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-8))\/((-2)\/8). Suppose j = 2*t + 4, b*j - 11 = 6*j + 3*t. Let o be (18\/15)\/((-4)\/(-10)). Are o and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66782, -66763, -66712, -66611, -66442?\n\"Answer: 3*g**3 - 2*g**2 + 4*g - 66787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in 0.3, 2\/5, -25\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/45*1*(-25)\/55?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**7\/15 + 37*s**5\/60 + 8*s**2. What is the third derivative of d(z) wrt z?\nAnswer: 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173 or 347\/2?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - 160\/(-15). Let a be -3 - (-30)\/8 - (-1)\/4. Let g be (2*(-3)\/(-12))\/(a\/2). What is the highest common factor of q and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w. Let l(c) = -5*c**2 - c**2 + 7*c**2. Give b(l(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 1:46 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1319\/2834 + -135\/218. What is the fifth smallest value in 12, -3\/2, w, 5, -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*q - 166*q - 6*q**2 + 4*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72310316 by -52.\nAnswer: -1390583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2212 and 70?\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = -u, c = -u + 9 - 4. Let f = u + 4. Find the second derivative of -3*o - f*o**5 - 2*o + 6*o wrt o.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*u - h, 2*h + 23 - 5 = 4*u. Let t = 197.27 + -193.27. Which is the third biggest value? (a) t (b) 8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6371, -12657, -18943, -25229, -31515?\nAnswer: -37801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.3786501 - -182.6213439. Let l = s + -195. What is l rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33881 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y. Suppose 2*m - 4*m + 3*p - 14 = 0, 0 = -5*p + 20. Let h = 2.9 - 3. What is the third smallest value in m, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 11*l**4\/6 - 3*l**2. Let j(y) = 4*y + 4*y + 0*y - y**2 - 8*y. Give j(g(u)).\nAnswer: -1936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -301 or -418?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -96*g - 2000. Calculate the smallest common multiple of 1240 and l(-21).\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 4. Suppose 0*t + 40 = 2*t. Let r = t - 24. Determine v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:54 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*r**4 - 19472065*i - 63*r**3 + 77962*r wrt r.\nAnswer: -4*i*r**3 - 189*r**2 + 77962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6*p - 100224*k**4 + 6*k**2*p + 41*k**2 - 2*k - 58 wrt k.\nAnswer: -120*k**3*p - 2405376*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(114)*2 + (sqrt(114) + (sqrt(114)*-2 - sqrt(114)) + sqrt(114) - sqrt(114))*2)\/(sqrt(18)\/(2*sqrt(3)) + sqrt(216)\/sqrt(4)))**2*1.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14886\/7 - -2132. Find the common denominator of -3 - (-3 - (-22)\/8) and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/18 and 45\/1084.\nAnswer: 9756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 72460000 to the nearest 1000000.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrvdggr. What is prob of sequence grgd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11997107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -166, 8, -180\/13 in decreasing order.\nAnswer: 8, -1, -11, -180\/13, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 10*q = 1945493 + 63131. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -30*r + 8 + 31*r - 5. Let m(z) = 4*z + 14. Let y(q) = -14*j(q) + 3*m(q). Let d(v) = -v. Determine y(d(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30361, 30369, 30381, 30397, 30417, 30441?\nAnswer: 30469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -p - 88. Suppose -4*g - 4*o = -2332, 0*g + 5*o = -p*g + 1154. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.146106 and 14.\nAnswer: 13.853894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 17*h**2 + h + 19. Let l be a(-17). Solve 0 = -2*s + 4*q - 4, -4*s = -l*s - 5*q + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124.2 + 82. Let w = y - -39. Let l = -0.8 + w. Which is the second biggest value? (a) -5 (b) -1\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/5 (b) 4.8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/8 - 113*b**2\/8 + 14*b.\nAnswer: b*(b - 112)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -467 from -2078738.\nAnswer: -2078271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1\/4))\/p**4)**(1\/24))**18 assuming p is positive.\nAnswer: p**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20311001231 + -113?\nAnswer: 20311001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30975, -3, -1\/2?\nAnswer: -30975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163699709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -403111 or -403152?\nAnswer: -403111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 264 = 1104. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25318*w**4 - 99102 wrt w?\nAnswer: 101272*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -30. Suppose 0 = -f*t - 2, -5*m = t - 49 - 140. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 1 + (4 - 12). Let w(l) = -3*l - 27. Is w(u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 100*o**3 - 288*o**2 - 36*o = 0.\nAnswer: -3\/25, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 + (-13367922)\/(-5). Let o = f - 773584. What is o rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000020466333 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w + 12*w + 12*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-8 - (-13 - (-15 - 4 - -10))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*d = 137*d - 42 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Let p = 2 + -4. Which is the smallest value? (a) -1\/3 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 14\/10 - 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n + 2*n + 0*n)*(0 + 2 - 1) - 3210 - 55*n + 3210)*(3*n - 3 + 3).\nAnswer: -171*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j + 22. Let s be r(13). Suppose -s = -4*q - 58. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -8. Let p(a) be the third derivative of -a**6\/120 - a**5\/6 + 3*a**4\/8 - 7*a**3\/6 + 98*a**2 + 12*a. List the prime factors of p(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -671*r + 677*r. Suppose 0 = -c + 5*c - r*j - 11757, 2*j + 10 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10649979*q + 21. Let n be g(1). Round n to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 7 + 7. Let d(n) = -n - 2. Let p be d(-4). Let w be b\/p*12\/7. Solve -w*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 589 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 517, 991, 1479, 1981?\n\"Answer: 7*i**2 + 453*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6800.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/840307?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 3*k - 2*k + (5 - 11 - 13)*(-4*k + 0*k + 0*k) + (-6 + 5 + 4)*(0 + k + 0).\nAnswer: 81*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -218.778 to zero decimal places.\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38573, 38586, 38561, 38480, 38325?\nAnswer: 38078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 59. Let v(r) = -r**3 - 8*r**2 - 9*r - 8. Let i be v(-7). Let p be (2\/i)\/(72\/27). Which is the closest to -7? (a) p (b) s (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 643388 by -9.\nAnswer: -643388\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2435565, 2435618, 2435669, 2435718, 2435765, 2435810?\n\"Answer: -q**2 + 56*q + 2435510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 142. Let i(s) = -2*s + 22. Let z be i(w). Factor 1 - 1\/2*u**z - 1\/2*u.\nAnswer: -(u - 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 70 (c) 1\/34 (d) 2\/9 (e) -0.1 (f) -0.409\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 21. Suppose -4*p = r + r - t, -5*p = r - 10. Let s = -728 + 5100\/7. Sort r, 10, s.\nAnswer: r, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.8 (c) 15 (d) 45 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59 (b) -1 (c) -0.6 (d) 14\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 3\/7, -2.1, -208.9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -937, 5, -54, 110 in ascending order.\nAnswer: -937, -54, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -1976\nAnswer: -15\/988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*y = -27, -f - 4*f + 4*y + 27 = 0. Let k = 7 - f. Sort -5, -3, k in descending order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a = 4*v + 166, 0 = 5*a - 5*v - 285. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let b(r) be the first derivative of 7*r**2 - 5. Determine b(k(l)).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200211212 + -22?\nAnswer: 10200211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 55080?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76230163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 121 + -161 + 58 - (2 + -1 - -136)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 24 = 23*o. Suppose 5*q = 43 + 7. What is the least common multiple of q and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860*i + 1752*i - 9 + 9 - 940*i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -458*a**5\/5 - 321*a**2\/2 + 2*a - 605. What is the second derivative of h(r) wrt r?\nAnswer: -5496*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11591411*n**4*t**3 + 307997012*t**3 wrt n?\nAnswer: -46365644*n**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchhghmmhhhwemmhmhch. Give prob of sequence ghmc.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4202 and 7?\nAnswer: 29414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g - 2*g + 0*g + g - 6*g + 3*g + (-4 - 4 + 7)*(3*g + 0*g - g) - g - g + g + 3 - 3 - 3*g as s*g + t and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -3, -112, -18, 1 in descending order.\nAnswer: 1, -1, -3, -5, -18, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8 = 33. Suppose 0 = -l*b - 5, u + 5 = 3*u + b. Suppose -u*h + 15 = -5*m - 14, 0 = -4*h + 5*m + 37. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 52429*t + 157341. What is a(-3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*v**4 - h*v + 5*h + 54*v**3 - 27 wrt v.\nAnswer: -4*h*v**3 - h + 162*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3067 (base 10) to base 9\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30619714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 = -0*q. Let f be (2\/3)\/(q\/150). Solve -2*i + 3 = -f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l)*(0*l**2 + 5*l**2 - 3*l**2)*(2*l - 5*l + 4*l).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 0*v**4 + 0*v - v**2 - 2\/15*v**5 - 1\/120*v**6 + 0 + 4\/3*v**3. What is the units digit of m(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7326715 + 78*u**2 - 81*u**2 - 7326715.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 3*v**2 - 5*v**3 + (-7*v + v + 0*v)*(2*v**2 - v**2 - 3*v**2) to p*v + z*v**3 + q*v**2 + t and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10\/8)\/(6685\/(-4584))*70\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (2*sqrt(2) + 0 + sqrt(2))**2 + 0).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57355687 rounded to three dps?\nAnswer: 0.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 2, z: 3, p: 6}. Give prob of picking 2 j and 1 z.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2735272?\nAnswer: 2, 181, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 1\/931 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 486 divided by 6\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*q - 4 + 14 = 0, 0 = -4*n - 5*q - 6. Suppose 28*j + n = 27*j. Is 160\/6 + j\/(-3) 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 divisor of 1806973 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(68\/(-918)*-9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2869 and -2867 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 46 = 8*z - 7*z, 12*z - 5*z = 6*o + 314 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0 + 0)*(18*o - 367*o - 85*o)*(-50*o + 190 - 190) + o - o - 2*o**3 + (o + 2 - 2)*(o**2 - 2*o + 2*o) + o**3 + 0*o**3 + o**3 - 2*o**3 - 4 + 4.\nAnswer: -21701*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3610 (base 8) to base 4.\nAnswer: -132020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 239*z**2 - 119*z**2 + 3*z - 3*z**4 - 122*z**2 as a*z**3 + w*z + c*z**4 + q*z**2 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -1\/8, 0.4 in increasing order.\nAnswer: -1\/8, 0.4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 11:15 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0 + 33*o - 1\/90*o**6 + 0*o**4 + 1\/9*o**3 - 1\/30*o**5 + 1\/6*o**2. Determine d, given that j(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 - 21.09. Let h = -195 + 213.2. Let t = s + h. Round t to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let y(s) = 88*s - 4. Let t(l) = 10*h(l) - y(l). Is t(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d, 2*d = -4*b - d + 144985. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3381 - 2?\nAnswer: -3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5570*y - 33048. Determine g(-6).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -63720660 divided by 114812\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(sqrt(7056) - -1*sqrt(7056)))\/((sqrt(77) + -5*((sqrt(77) - (sqrt(77) - sqrt(77)*-2)) + sqrt(77) + sqrt(77)))\/(sqrt(11) - (sqrt(33)*-2)\/sqrt(3))).\nAnswer: -360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 414 + 1595 = 0. List the prime factors of d.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)\/n**(-12)*((n*n**(-6))\/n)\/(n**19\/n))**(7\/4) assuming n is positive.\nAnswer: n**(-679\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3903)\/2)\/((-126)\/84).\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, f: 3, e: 6, b: 1}. Give prob of sequence ese.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 580 and 595 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/2 - 40*h**2 - 190*h - 200.\nAnswer: 5*(h - 20)*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2257 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 2*a**2 - 4*a + 1. Let q be x(-3). Suppose -q*n = -4*p - 144, -3*n = -2*p - 6*n - 57. What are the prime factors of -3*(-8)\/6 - p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 916 + -920.93. Let t = 0.07 - v. Let o be (0 - -1)*(-36)\/(-42)*(-28)\/(-8). Which is the nearest to 1\/4? (a) t (b) -2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19572 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 461*b**2*w**3 + 8*b*w**2 + 5*w**3 wrt b?\nAnswer: 922*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:30 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, j: 3, l: 1}. Give prob of sequence ejel.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3156 (base 13) in base 4?\nAnswer: -1222233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.44 - -0.5. Let x = 10.06 - k. Let a = x + -10.00098. Round a to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5755 - 3463. Calculate the greatest common divisor of l and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -7, 15040 in increasing order.\nAnswer: -7, -2, -1, 15040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 99 = -24*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o + 2*u, -4 = 4*o - o + u. Is 7 a factor of (o\/4)\/(14\/(-392))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z**2 - 17*z + 144*z**2 + 131*z**2 + 21*z.\nAnswer: 327*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -0.05, -6.2, 58, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i + 3*r + 0 = -217*i + 108*i + 6, 2*i + 4*r + 1 = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*10218.\nAnswer: -3065.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/198 and -11\/12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose 0*i + w = o*i - 9804, 5*i - 3*w = 24512. What is i rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447*j - 3255*j + 183378 = 0 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 1, k: 1, d: 2, z: 1, q: 1}. What is prob of picking 1 c, 1 z, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30372183*v**2 + 896053*v + 3?\nAnswer: -60744366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 12:11 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-76 - -21) + -18 + 76 + 1\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-1)\/(1\/2). Let w = 4 + a. Suppose -5*r + w*i = -20, r = -2*r + 5*i + 12. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*x = -15, -3*z + 23*x + 6 = 25*x. Suppose -2*d - 2*d = 4*a, 5*d - a = 30. Suppose -d*g - 8 + 178 = z. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.2 (b) 0 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 870, 3120, 8476, 18252, 33762?\nAnswer: 56320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 970 divided by -58\nAnswer: -485\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or -24486\/779?\nAnswer: -24486\/779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1863482 and 449806.\nAnswer: 13044374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 8, -902, -3 in decreasing order.\nAnswer: 50, 8, -3, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -36 (b) -0.1 (c) 2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 3302*n**2 + 1615*n**2 + 1586*n**2.\nAnswer: -101*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p, d = 6*d - 3*p - 10. Solve 16 = 4*t, 5*t = z + d*z + 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avqf when four letters picked without replacement from acfdvffddqqvfccadcd.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004675 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918052785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/60 + 5*i**4\/24 - 2*i**3\/3 - 9*i**2. Suppose 3*t - 2*b + 25 = -0*t, 3*b = 15. Determine k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s**2 - s - 4. Determine h(6).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/15, 13, 3, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) 16 (c) 13\/2 (d) -3 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/3 - 102668*i - 1539970\/3 = 0?\nAnswer: -153997, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2.0009, -1.2, 4, -2, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -102. Suppose -8*n + 3*n = p. Let z = n - -21. Solve -z = -i + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 - -10?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q - 5. Let l be (-1)\/(((-4)\/4)\/3). Let p be h(l). Let g(i) = -4*i**2 + 3. Let c(s) = -3 - s**2 - 2 + 8*s**2. Determine p*g(r) + 6*c(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1849 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/x**(2\/7))\/(x**(2\/29)\/(x\/x**(-6))))\/((x**(-7)*x*x)\/(x\/((x*(x*x**5*x)\/x)\/x))*((x**6*x)\/x)\/x*x**(2\/3)) assuming x is positive.\nAnswer: x**(1205\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3432 + 454?\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13822 + 42157 - 20943)*(-z**3 + 0*z**3 + 3*z**3) to the form c + s*z**2 + v*z**3 + a*z and give v.\nAnswer: 14784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 78, 73, 68?\n\"Answer: -5*r + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21410 at least as big as -21249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16046989859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -12?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2220 and 16.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + t - 5*c - 22, 0 = -5*t - 2*c + 16. Suppose w - 17 = 2*z, 5*w - 98 = -t*z + 57. Is 2\/(-6) + 306\/w 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 136844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o**2 - 28*o**2 - 20 + 52*o**2 + 83*o**2 + 21 in the form r + d*o**2 + a*o and give d.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 412.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1869.54 to the nearest ten.\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/5 and -0.039 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6390)\/284*8\/(-20) - 65.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1567 - -1611. Let t(h) = -5*h + 1. Let i(p) = -p + 1. Let j(n) = -i(n) - t(n). What is the remainder when z is divided by j(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -194, -458, -814, -1250, -1754, -2314, -2918?\nAnswer: -3554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/44*52\/2145?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13258 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 5\/4, -2\/227, 0.2, 3\/7?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 + 1) - -11 - (-1 + 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 4, -256 = -r + 4*b. Let a = r + -246. Determine g so that 2 + 4\/3*g - 2\/3*g**a = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29\/53 - -485\/954. Let k = -6683879\/190 + 35179. What is the common denominator of h and k?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a decade?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003144 to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2\/7 - 315150*i\/7 - 5363619 = 0?\nAnswer: -119, 105169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Let r(n) = 2*n**z - 4*n - 2*n**2 - n**2 - 3. Let a be (1\/2)\/((-1)\/6). Give r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19816828 plus 0.1683?\nAnswer: 19816828.1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0191984 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -15, 9 + 6 = 5*l + 2*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 623853 and 13.\nAnswer: 623866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/12 + 6589*c**2. Let l(b) = -1327*b. Calculate l(z(w)).\nAnswer: -2654*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.951 - 0.9509353. Round q to six decimal places.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 5*d**4\/12 + 5*d**3\/3 - 90*d. Factor k(o).\nAnswer: 5*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/473 != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 188 + 19. Solve 0 = m*o - 6*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2. Let t(f) = 51*f + 8*f - 19*f. Give s(t(l)).\nAnswer: 4800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4006.\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3496 divided by 874.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 + 3*i**4 - 3*i**4 + (-2*i + 9*i - 8*i + 14*i)*(20*i**2 - 17*i**3 - 20*i**2) to the form f*i + a*i**4 + m*i**3 + y*i**2 + o and give a.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*j = -4, 3 = -85*h + 82*h - 5*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 1 - 77*46\/(-253)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5863812 - 140?\nAnswer: 5863662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d + 3?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -563374 - 0?\nAnswer: -563374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(6\/4))\/(481\/37).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 2*q + 2072. Let h = q + -257. What is the highest common factor of 117 and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19213137.8 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -16. Let b(u) = -u - 3. Let r = -28615 - -28616. Let c(f) = -1. Give o*c(w) + r*b(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((6 - 6) + -1 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h - 5. Let x = -7 + h. Let v(j) = 3*j**3 + 5*j**2 + 7*j + 7. Let d(s) = s**3 + 3*s**2 + 3*s + 3. Let t(p) = x*v(p) + 5*d(p). Give t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -2875. Which is bigger: h or -2741?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 - 19*x - 12. Let c(k) = -9*k**2 + 13*k + 9. Let s(a) = 7*c(a) + 5*d(a). What is s(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Suppose -d - 8 = 5*k, 7*d - 4*d + 4*k + 13 = 0. Let y = 3 + d. Let a(r) = y*r + 0*r + 0*r + r**2. Calculate s(a(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 2. Let c be a(-5). Suppose 3 + c = 4*s. Suppose j + 4*q + 13 = -s*j, -3*j = 2*q + 9. Sort 1, -4, j in descending order.\nAnswer: 1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-264)\/18 - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9654.42 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135323 is divided by 33235.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 16 = 2*w, 2*i - 102 = 4*w - 142 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(3\/4)\/(b\/(b\/b**(11\/3))))\/((b**(-10\/3)*b)\/(b\/(b\/(b*b**(-8)\/b*b*b))*b*b)))**(-4\/7))**(-20\/11) assuming b is positive.\nAnswer: b**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -85. Let f = t - 29. Put 2\/3, f, -1.6 in ascending order.\nAnswer: -1.6, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-3\/11))\/n)\/(n**(-1\/11)*n))**40 assuming n is positive.\nAnswer: n**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 2*s - 10, -4*r - 3*s - 288 + 263 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-3) + 17332\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 2 - 28*-2. Let q(y) = -y**2 - 7*y - 4. Let r = -16 + 11. Let x be q(r). Calculate the greatest common divisor of x and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 21*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/11083 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose 0*r + r + 10 = -f*d, 0 = 5*r - d + 18. Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11807*a - 12079*a - 9248 = 0 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/56 and -1\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -655. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 960 + 224 = 0. Suppose -2*p - a = 3*j - p, j + 4*p = -106. Let b = j - -165. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 327*t**2 - 8389*t - 669. Calculate h(-299).\nAnswer: 4414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 25*9619\nAnswer: 240475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20825 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -1*(sqrt(162)*-2)**2).\nAnswer: -3906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9778, -39127, -88066, -156619, -244810, -352663, -480202, -627451?\n\"Answer: -4*q**3 - 9771*q**2 - 8*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 + 15*w**2 - 12*w + 15. Let b(r) = r**2 - r + 1. Let n be (-3 + 0 - -2)*-1. Let q(l) = n*z(l) - 15*b(l). Find t, given that q(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 124 = 2*j - 9*v, 0 = -4*j + 4*v + 244. Does 41 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(72) - sqrt(2)) + 1*sqrt(324))\/(((sqrt(336) - sqrt(21))*-3)\/(sqrt(84)\/(2*sqrt(12)))).\nAnswer: -31*sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*(-5)\/(-600))\/(12\/(-10))*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Suppose -b*h = 5*v - 32, -3*h + 2*v + 17 = 4*v. What is the second derivative of -5*c**2 + 3*c**2 - 3*c**2 - 5*c + h*c wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 k when four letters picked without replacement from kkkakugq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9)\/(n\/((n*n**17*n)\/n)))\/((n\/n**(-15))\/(n\/n**7)) assuming n is positive.\nAnswer: n**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 4, m: 7, t: 3, g: 1}. What is prob of picking 1 t, 1 m, and 1 j?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 23 - 3 = o, -3*o = -9*q + 4*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:39 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/27 (b) -1\/294 (c) -3 (d) -25\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 10*o**3 - 7 - o**3 - 4*o**3 + 3*o**3 + (0*o - 5*o + 4*o)*(-2*o + o**2 + 2*o) - o**3 - 3*o**3 + o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2*j + 1. Suppose a + 2*g - 3 = 0, -7*a - 3*g + 1 = -2*a. Let f be p(a). What is the derivative of -5 + f - 2*u - 2 - 1 wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 84.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**31*d)\/(d*d\/(d**(1\/18)\/d)*d)*(d*d**(-22)\/d)\/(((d\/(d*d\/(d*d*d*d*d**25*d*d)*d*d))\/d)\/d) assuming d is positive.\nAnswer: d**(-359\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -14. Find the second derivative of -k*p**3 - 2 + 1 + 1 + 2*p wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9915 by -3305.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u - 67 = 77 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*l = -1, 22*q = 17*q + 2*l - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/10)\/((-1)\/(-145)). Suppose -z*j + 306 = -26*j. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a factor of 4201314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3657.848 decades in centuries?\nAnswer: 365.7848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*2*-5)\/sqrt(5))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 2*z**2 - z - 1. Let r(v) = -228*v**3 - 513*v**2 - 285*v - 285. Let a(x) = -r(x) + 285*y(x). Find the third derivative of a(w) wrt w.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32063 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 96. Suppose 18 = r*z - 12. Suppose 0 = -2*n - 2 + z. Solve 0 = 2*u + 6 - n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15543 + 21657. Calculate the lowest common multiple of 60 and c.\nAnswer: 61140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43773 is divided by 425?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1339244\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwswshhshhsyhsgg. Give prob of sequence wy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 0.7, 0.047?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 159 - 81. Calculate the highest common divisor of 24 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 * 0.05\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 8\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b + 18 = 51*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9319059?\nAnswer: 3, 1035451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + 10. Calculate k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958894 is divided by 463.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006*j + 1074*j - 2162*j = 164 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus 0.2693534?\nAnswer: -7.7306466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1145032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*39*3\/18. Let v(h) be the second derivative of h**5\/20 - 7*h**4\/6 + 13*h**3\/6 + 17*h**2\/2 + 15*h. What is the remainder when 30 is divided by v(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 2*x**2 + 3*x + 2. Let i be u(-2). Solve -y = 4*y + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0344 - -0.0656. What is the nearest to 0.1 in y, -5, -0.2, -0.061?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659367?\nAnswer: 3, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-14)\/12)*8. Sort 4, -3, i, -0.3 in descending order.\nAnswer: 4, i, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/19)*m**(-14)*m*m*m**(-3\/34)*m\/m**(-36))**(4\/11) assuming m is positive.\nAnswer: m**(33342\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1)*11\/(-2). Let n = l - -13. Suppose h - n*h = -14. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - w + 4. Let h(i) = i**2 - i + 3. Let x(c) = 4*h(c) - 3*n(c). Let u be (0 + 2)\/(-2*1). Let d(y) = -y**2. What is u*x(k) + 3*d(k)?\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:31 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1769 + 1766. What is the fifth smallest value in j, 7\/3, -0.4, 0.3, -3\/4?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148009 and 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*b**3 + 110*b**3 - 20 - 22 - 15 + 79 - 22.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 62857 (b) -8\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8226, 16395, 24500, 32535, 40494, 48371, 56160?\n\"Answer: -w**3 - 26*w**2 + 8254*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 36 (c) 39\/14 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6151827*r - 2664485 wrt r?\nAnswer: -6151827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-8))\/(3\/(-36)). Let h = -23 + z. Suppose 0 = -6*s - 0*s + 24. What is the highest common factor of h and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -6)*4\/(-6). Let n(f) = -6 - 9*f + 22*f - 2*f - 7 - 19*f. Let x be n(v). Solve -x*p - 21 = -6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/22 + 2 - 232\/(-224).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008043 to 5 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -39*x - 12 + 137 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9614, -37729, -84580, -150161, -234466, -337489, -459224, -599665?\nAnswer: -758806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.418 - -5.3. Round y to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2 + (13 - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = 1. Let b be (-19)\/q + 8\/32. Suppose -5*m + b*x + 10 = 0, -4*m + 4 = -m - 4*x. Calculate the highest common factor of 16 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0506788 rounded to 4 decimal places?\nAnswer: 0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350902*m - 35799*m - 5 + 9 - 8.\nAnswer: -386701*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 8*t. Solve t*d + 0*d = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -27 - (60 + 14 + -60)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (-1 - -4)) + 2 - (8 - 6 - 5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -922 + 913. Does 5 divide (n + 14)\/(5 - (-1077)\/(-216))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17643979055 and -6?\nAnswer: 17643979049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n + 2. What is the third derivative of 5*y**n - 1 - 3 + 4 + 5*y**2 wrt y?\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 728261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 + 40*p - 6. Let q be z(4). Let a = 80 - q. What is the highest common factor of 242 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 0*z**3 + 0*z**3 - z**3 - 4*z**3 + 3*z**3 + (-3*z - z + 6*z)*(3*z**2 - z**2 - 4*z**2) + 6*z**3 - 24*z**3 - 8*z + 5*z.\nAnswer: -23*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 not equal to 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*v - 82627, 3*v = 20*k - 19*k - 16541. What are the prime factors of k?\nAnswer: 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 1018378815?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13416*f**3*g**2 - f*g**2 + 14311*g**2 wrt f?\nAnswer: -40248*f**2*g**2 - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -14. Let n be 3\/k - (-2)\/(-12). Is 3 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/37 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/15 - ((-150)\/(-72) - (-10)\/((-520)\/39))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 16. Let g = 9.00005 - o. What is g rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = k + 2*k - i, -3*i = 3*k + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 17. Let y be 3 - (3 + (-16)\/w). Differentiate 2 - y*j + j**2 + 4*j - 9 wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 65)\/(9\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2239*i**4 - 742*i**4 + 13*i**3 - 13*i**3 + 1345*i**4 + (i**3 - 2*i**3 - 2*i**3)*(4*i + 0*i + 7*i).\nAnswer: 2809*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5450 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -508 - 6696*x - 9317 + 4316 wrt x?\nAnswer: -6696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + -0.07. Let o = 9628 + -9623. What is the third smallest value in -2\/5, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -120*g**2 - 2160*g - 14. What is x(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62327301 to the power of 1\/2, to the nearest integer?\nAnswer: 7895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 9*j - 12. Let z be f(10). Let v = -0.6 + 0.3. What is the second biggest value in z, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {z: 5, b: 2, a: 7, u: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 4*l + 0 + 1 - l. Let q(p) = -p + 17. Let n(f) = -f**2 + 20*f + 21. Let i be n(20). Let u be q(i). Calculate d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -12\/5*k**3 + k**4 + 0*k + 4\/5*k**2 + 0 = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 5064206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 71. Let p(b) = 1. Let c(s) = -35*s**2 + 25*s + 5. Suppose 0 - 15 = -3*w. Let d(y) = q*c(y) + w*p(y). What is f in d(f) = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*k - 31*k**2 + 61*k - 118*k.\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:56 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1882 and 54\/4487.\nAnswer: 8444534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 246*c*p**2 + 1291*c - 172932*p**2 - 5*p wrt c.\nAnswer: 246*p**2 + 1291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11 + v + 0*v + 31. Let s be f(-15). Suppose s = c - 1. Solve -4*a = 3*h - c, 0 = -0*h - h - a + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25344 by -5098.\nAnswer: -12672\/2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((38\/(-95))\/(21\/5))\/(17\/51).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/340 and 16 - 13986\/1320 - 12\/(-22)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 1786?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676275 divided by -635.\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**6\/80 + s**5\/10 + s**4\/16 - 3*s**3\/2 + s**2 - 451. Factor p(b).\nAnswer: 3*(b - 1)*(b + 2)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 113 = 23. Let n(d) = 14 + 164*d**2 - b + 16. Let q(w) = -w. What is q(n(u))?\nAnswer: -164*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 + 11*r**2 - 11*r - 13. Let z(w) = w**3 + 2. Let k(n) = -6*n**2 + 6*n + 3. Let f(q) = k(q) + 2*z(q). What is 6*b(x) + 11*f(x)?\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:48 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 (base 16) in base 8?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 6*j - 4. Suppose -4*t + 20 = -0*t. Is a(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.4 + 21.6. Let n = -135\/2 - -66. Put -0.2, n, v in ascending order.\nAnswer: n, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sor when three letters picked without replacement from szzsdodzrsus.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220032 divided by -4584.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 7*u + 71 + 46 - 106. Give m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.8 + -1.8. Let o = -281 + 268. Let d = o - f. Which is the smallest value? (a) -0.5 (b) 2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5757\/4 + 1439. Let o = -2.1 + 2. What is the nearest to o in -2\/3, 59, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 17*i**4\/2 - 11*i**3\/6 + 2*i**2 + 58*i - 2. Find the second derivative of h(t) wrt t.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 20 (b) -14 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + w**2 + 0*w**2 + (4*w - w - 4*w)*(-2 + 2 + w) + (w + 5*w - 3*w)*(2*w + 0*w - 4*w) + 2 - 2*w**2 - 2 to the form x*w + o + g*w**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 3*k - 4.\nAnswer: -(k - 2)**2*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.37181663 rounded to 2 decimal places?\nAnswer: -3.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a*l**2*p - 46*a*l**2*x - 22*a*l*p - 2*a*l*x - 330*l**2*x - 2*l*p*x + 783*l*x + p*x + 2*p wrt l.\nAnswer: -16*a*p - 92*a*x - 660*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-104))\/(-5)*(-24)\/(-3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -41, -67, -113, -185, -289, -431?\n\"Answer: -x**3 - x**2 - 2*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2442 and 30008?\nAnswer: 3330888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 - 4*s**3 + 18*s**3 + 7*s**3 - 6*s + 4*s.\nAnswer: 21*s**3 - 13*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.003 and 9.\nAnswer: 21.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*v - 332*v + 2*b = 32, -v + 28 = -2*b. Calculate the remainder when 3250 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**6\/120 + 7*d**5\/60 + d**4\/3 + 3*d**3\/2 + d**2\/2 + 8. Let j(n) be the second derivative of z(n). Does 19 divide j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6947 or -6241?\nAnswer: -6241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264 (base 12) to base 8.\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21007, 21006, 21003, 20998, 20991?\n\"Answer: -b**2 + 2*b + 21006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 412031342 (base 5) in base 4?\nAnswer: 12120223310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -289109 and -289465 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 4*r**3 - 5 - 6 - 4.\nAnswer: 4*r**3 - 2*r**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45868\/25501 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 j when four letters picked without replacement from bjubbjbbj?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 847 - -76. Does 71 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 170\/15 + (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 127 and 2441\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w - 2*h, 4*w + 5*h = -w + 15. Suppose 0 = w*t - 10 + 1. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2007 divide 2799765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -624*p**3 + 624*p**3 - 25 - 288*p**5 + 2*p**2 - 121*p**5 wrt p.\nAnswer: -24540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -521.072 + 521. What is the nearest to -4 in y, 1\/2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -94. Which is the second biggest value? (a) -5 (b) -0.9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 22936038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 65*q - 866871. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49\/(-2)*(7 + 13). Find the common denominator of 91\/16 and (d\/32)\/(-7) - 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 9*c**2 - c + 29. Let l be w(-9). Find the second derivative of -l*g**2 + 2 + 173*g + 0 + 8 - 171*g wrt g.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/30 + 19*u**4\/2 + 113*u**3\/3 - 145*u**2. Determine y, given that g(y) = 0.\nAnswer: -113, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*h - 1322, 33*h - 37*h - 1980 = -3*y. Let m = 735 - y. Calculate the least common multiple of 8 and m.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 16) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/(-12)*(-4)\/198.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -22*z + 25*z. Let p be (5 - 13)\/(-2) - (-4 - -6). What is the third derivative of -11*a**2 - 5*a**3 - 20*a**p + 16*a**2 - z*a**2 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6433319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**7 - 7*b**6\/6 - 18*b**5\/5 - 47*b**3\/3 + 3*b**2\/2 - 6*b - 9195. Find the third derivative of d(j) wrt j.\nAnswer: -840*j**3 - 420*j**2 - 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Let z(r) = -3*r**3 + 2*r**2 + r. Let b be z(-1). Let n(t) = 5*t - 9. Let w(u) = b*n(u) + 18*p(u). Is w(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/128 and -13\/20?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-10)\/5))\/((-10)\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 3*d)*(0*d**4 - 4*d**4 + 5*d**4) - 3070*d**5 + 179*d**5 - 280*d**5.\nAnswer: -3170*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 784*f**5 + 17*f**2\/2 + 55*f - 1170. Find the second derivative of v(w) wrt w.\nAnswer: 47040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**9\/56 - 101*l**7\/210 + l**5\/20 + 491*l**3\/6 + l**2 + 341. Find the third derivative of g(w) wrt w.\nAnswer: -1080*w**3 - 2424*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63796, 254780, 573086, 1018714, 1591664, 2291936?\n\"Answer: 63661*b**2 + b + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(12*(-1160)\/2400).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x, 2*x + 2 = -0*n - 2*n. Which is the biggest value? (a) -0.3 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2, -0.24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 3\/59, 0, 1\/80 in decreasing order.\nAnswer: 0.07, 3\/59, 1\/80, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/27466?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + s**2 + 1)*(-8 - 7*s + 8 - s + 0 + 0 + (2*s - 3*s - s)*(3 - 3 - 2) + 0 + 0 + 2*s)*(-13 - 5 + 2) as d*s**2 + x + m*s**3 + f*s and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {f: 1, u: 2, b: 1, g: 1, o: 1, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 63*i - 23. Let p(g) = -g**2 + 4*g + 9. Let x(d) = -l(d) - 2*p(d). Let a(h) = 6*h**2 + 82*h + 8. Determine 5*a(y) - 8*x(y).\nAnswer: -2*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o - 2. Let w be t(5). Let j = 45045 - 44965. Which is greater: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5810, 5816, 5826, 5840?\n\"Answer: 2*q**2 + 5808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2607.0000001205 + -2607. Round g to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199249.21 + -200068. What is v rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2227700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 10:39 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -13. Let d = -55 - -104. Calculate the remainder when d is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaqazzz. What is prob of picking 1 q, 1 z, and 1 a?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 0, 2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 225314\nAnswer: -6759.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00668511 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -3*m**2\/2 - 3*m - 2. Differentiate k(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1. Let x be 4*1\/12*-3*1. Let f(k) = -5*k - 10. Let h(i) = x*f(i) + 3*d(i). Differentiate h(r) with respect to r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/2*(71136\/1521)\/152*39\/(-2)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.267 and -172.8.\nAnswer: 46.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.41 + -2.31. Which is the nearest to o? (a) -0.5 (b) 3 (c) 0.004 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 171*n - 1. Let h be j(-1). Suppose -33*b = 38 + 61. Let p be b\/(1 + 168\/h). What is p rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 38*g + 59. Is x(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, b: 1, a: 3, h: 2}. What is prob of sequence hfaa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 12 = 0, -2*i - h = 5. What is the closest to 0 in i, -6\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1310947*m**2 + 1310674*m**2 - 2621620*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 215372.06 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3372*p**2 - p**3 - p**3 - 6893*p**2 - 15826*p**2.\nAnswer: -2*p**3 - 26091*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 67 = l + 6, -5*t = -2*l - 109. Calculate the remainder when t is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**4*p - 15668*f**4 - 5*f**3*p - 33*f**2*p + 317*f*p - 36*f + 3 wrt f?\nAnswer: -240*f*p - 376032*f - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 20*j + 18. Let l be x(9). Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -952 - -1569. Suppose 31*c + 152 = i. Let r(x) = 70*x**2. What is the remainder when r(-1) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287089.\nAnswer: 11, 26099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*j - 11, -49*j + 389 = -379*l + 376*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus 150594097?\nAnswer: 150594096.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 9:09 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16126342, 32252682, 48379022?\n\"Answer: 16126340*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(117)*-1)**2.\nAnswer: -54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-102))\/(2*(-10)\/(-36))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -461*u + 3. Let l be i(-1). Suppose 0 = -75*b + 69*b + 1494. Let r = l - b. List the prime factors of r.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76394105.\nAnswer: 5, 15278821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/11)*y*y**6)**(-48) assuming y is positive.\nAnswer: y**(-3648\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 7*a + 6. Let t be v(-6). Suppose t = -3*r + 1 - 7. Let z = 6\/5 + -13\/15. What is the third smallest value in r, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-401 - (-8 - -7))*39900. What is p rounded to the nearest one hundred thousand?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/2*2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2240\/(-15))\/(-28)*-3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/741 and -1\/2490007.\nAnswer: 7470021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -k. Which is the closest to 0? (a) -0.01 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (11 - 3) + -17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+1964\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (621\/(-36) + 0)\/((-2)\/(-8)). Put -0.5, 0, y in decreasing order.\nAnswer: 0, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b - -9b7c?\nAnswer: 9c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*y**4 - 158*y**3 - 2*y - 5861.\nAnswer: -132*y**2 - 948*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1095 + -1086. Let i(b) = 8*b - 76. Determine i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 8*s - 2. Suppose 5 = h - 0*h. What are the prime factors of v(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4370 and 14817290?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 4. Is z(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 77740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23078 (b) 26 (c) 0.1 (d) -2\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3201354 by 82086.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/258365 and -77\/2376958?\nAnswer: 11884790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/7 - 99\/14. Calculate the common denominator of u and -47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 264, 268, 258, 228, 172?\n\"Answer: -p**3 - p**2 + 14*p + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 + -19 - (-27)\/(-6). Let x = 60 + -60.3. Which is the nearest to 1? (a) l (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (165\/(-20))\/((-4)\/52*20\/(-2160)*-117)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14821 or -14830?\nAnswer: -14821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 221212010121100 (base 3) in base 14?\nAnswer: 1b79adc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 3*s - 45 = 0. Suppose -2*d - d = 2*k + 6, 5*d = -3*k - 11. Suppose k*y + z - 3438 = -2*z, s*z - 3428 = -3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3971\/3 at least 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*q - 426 = -366 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 803.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5930661, 5930752, 5930843?\nAnswer: 5930934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(175) - (0 + sqrt(175))) + 3)**2*-4 + 4.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 56. Let s = 46 + x. What is the remainder when 54 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u\/((u\/(u*u\/(u**6*u)))\/u)*u))\/(u**(4\/5)\/(u*u**(-2))) assuming u is positive.\nAnswer: u**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3026 (base 9) to base 12.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -116 and -5554?\nAnswer: 5438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -y - 4*c, c + 28 = y - 3. Suppose 3*j + 31 = 2*s - 17, -j = -3*s + 23. What is the smallest common multiple of y and (66\/j + 3)\/((-1)\/14)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*y**3 - 676*y + 307*y**3 + 127*y**3.\nAnswer: 160*y**3 - 676*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70034098\/7 or -10004870?\nAnswer: -10004870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270 + -125 + -71 - -21.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/60 - z**4\/12 - z**3 + 5*z**2. What is h(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, -513, -1098, -1701, -2328, -2985, -3678?\nAnswer: -4413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 154.6? (a) 9\/5 (b) -2\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168443980 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -609 - -896. Let l = r + -205. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-873)\/54 - (39 + -41)*13\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 446*s - 5629.\nAnswer: -(s - 433)*(s - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 + p - 2. Let h(o) = o**2. Determine -g(v) - 5*h(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 185, 455, 809, 1247, 1769?\n\"Answer: 42*f**2 + 144*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 9486.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1423 + 9963\/7. What is the nearest to b in 0.1, 2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 667601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/30*(-516)\/(-8). Let i = -40\/387 - -49949\/7740. Let g = j - i. What is the common denominator of 25\/11 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*b = -2*b + 538*b - 47580 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-6 - (-6 - 10)) + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -16, x - 4*r = -x - 12. Suppose p = 4*l - 1040 + 232, 2*l - x*p = 398. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.2 + -27.39. Let v = 0.19 + l. Which is the closest to v? (a) 4\/7 (b) 0.5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 - -14. Let q = v - -101. Let u be -5 + 4 - (q + -3). Calculate the greatest common divisor of u and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -34, -105, -226, -409, -666, -1009, -1450?\n\"Answer: -2*b**3 - 7*b**2 + 2*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssssvvsssssssssvs. What is prob of sequence svv?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -25.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**4 - 33*k**2 - 69*k**2 - 9*k**4 + k**3 wrt k.\nAnswer: -336*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1270 - -2762. What are the prime factors of u?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 3, 41\/10, 5, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -437*y + 2. Let b be -4 + 1 + 0 - -8. Let u(f) = 218*f - 1. Let z(k) = b*u(k) + 2*i(k). Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02848974731 to 5 dps.\nAnswer: 0.02849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35432719 to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3022, 7156, 12392, 18730, 26170?\nAnswer: 34712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3758936\/473 + 7947. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.952 + 0.052. Let b = q + 3.69. Let x = b + 0.21009. What is x rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 24*s**2 + 24*s + 17. Give w(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 2. Let n be f(-7). Suppose -5*p = -n*r + 285, 192 = 5*r + 4*p - 75. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:17 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 232.8?\nAnswer: -6518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 x, and 1 z when four letters picked without replacement from {h: 1, x: 4, z: 1, d: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-3)*(2 - 3). Let l(z) be the second derivative of -z**4 + z**3\/6 + z**2\/2 + z. What is l(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -410 and -160471.\nAnswer: -160881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 68. Solve -4*t - 3*r - 13 = 0, t = 5*t - y*r - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.01 (b) -0.1 (c) 12\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0717362mm to nanometers.\nAnswer: 71736.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684361269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let t(r) = -2*r**2 + 1857. Give s(t(g)).\nAnswer: -4*g**4 + 7428*g**2 - 3448449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 30*l**2 - 28*l + 43. Let j be w(-29). Suppose 3*r - 10 = j. What is the highest common factor of 72 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3774007 + -7?\nAnswer: -3774016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 2:36 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose -z + 5*u = -14, -2*z - r*z - 4*u = 16. Let c(y) = -30*y. Is c(z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 29*y**2 + 54*y + 5. Let v be q(-27). Solve v*p = -33 + 38 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 11) + 277\/10. Let w = 270\/4241 - -8337411\/339280. Let y = w - o. Calculate the common denominator of 53\/8 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -0.11584, -1\/120, -0.5, 3?\nAnswer: -0.11584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/34 and 67\/612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 68 = -62. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from tttkttstttstttstt?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 792*h - 8471. What are the prime factors of f(37)?\nAnswer: 83, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588402.\nAnswer: 2, 3, 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642.307 nanoseconds in microseconds?\nAnswer: 1.642307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73919.59mg to nanograms.\nAnswer: 73919590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, m: 8, b: 1, q: 2, n: 1, c: 5}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7caeb + -7?\nAnswer: -7cb03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 11*v**2 - 3*v - 7. Let c(f) = -4*f**3 + 30*f**2 - 8*f - 20. Determine -11*b(p) + 4*c(p).\nAnswer: -5*p**3 - p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**24*u*u\/u**(1\/21)*u\/(u*u**14\/u)*(u\/u**(-2\/19))\/u)**39 assuming u is positive.\nAnswer: u**(67730\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20427.365 rounded to zero dps?\nAnswer: 20427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33011 + 33011.00016011. Round l to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 2, 1, 125 in ascending order.\nAnswer: -1\/8, 1, 2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 0 - 2)*((0 + 2 - 4)*(2*p - p + p) + 2*p + 1 - 1 + p + 1 + 4 - 4).\nAnswer: 18*p - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 + 27*f**2 + 3*f**2 + 12*f**2 as o + s*f + h*f**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2689097546 to the nearest integer?\nAnswer: 51857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55562.34ml?\nAnswer: 55.56234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(126 - 52 + 126).\nAnswer: -200*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17666 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -594 + 595. What is the closest to 0 in q, 2\/199, 2\/11, -0.2?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 4*g - 4*g - 3*g - 8*g + 6*g - 2 + 2 + 3*g + (-g + 0*g + 0*g)*(-1 + 2 - 2) as r + i*g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1044)\/2436)\/(2*(-15)\/84)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -62 + 25 - 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 3*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -806881 (base 13) in base 8?\nAnswer: -13306027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 306.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6914 times 776?\nAnswer: 5365264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 150. What is the greatest common divisor of s and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 5*h - 308. Let f(u) = -15*u**2 + 4*u - 4. Let w(i) = 286*i**2 - 77*i + 77. Let o(n) = h*f(n) + 4*w(n). Let p(k) = 3*k. Calculate p(o(x)).\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 27. Let w(b) = -2. What is h(r) + 5*w(r)?\nAnswer: 5*r + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057171 rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1080\/617 + -8416499\/4936. Let r = 1701 + j. Calculate the common denominator of (0 - 0) + (-71)\/18 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.1, -0.3, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*l + 3109*l**3 - 1536*l**3 - 1536*l**3 wrt l.\nAnswer: 222*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 5) + -35 + -21\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**4 - 392037*x**3 + 3554872*x**2 + 2*x.\nAnswer: -48*x - 2352222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366527 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002128782856 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1916403410 to the nearest 100000.\nAnswer: 1916400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h - 5*h)*(-1 + 0 - 2)*(-111 + 111 + 156*h).\nAnswer: 1404*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 219 - (-1)\/(0 - -1). Let b be (6\/(-15))\/((-4)\/v). Suppose 1 + 2 = h. Solve 2*o - 16 = -5*y, -2*y = -o + h*y - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -12*x. Solve 4*y - 9 = 3*j, x*y + 4*y = 2*j + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 5 (c) -0.2 (d) 47\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 + 1188*t**2 - 238944*t - 482608 = 0. Calculate t.\nAnswer: -434, -2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -3*q**3\/2 + 26*q**2 + 62*q + 1. Let w(b) = -b**2 + 3*b + 4. Let c be w(5). What is the units digit of f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, 11\/5, -0.2, -0.09, -18?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 38 - (2 + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 11. Is (2\/6)\/(q\/93) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1\/((-6)\/5). Let s = 3.4 + -2.4. Which is the third smallest value? (a) q (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/6 + 5*n**3\/6 + 9*n**2. Let r be t(-6). Suppose -4*x - o = -r, -3*o = -2*x - 0*x + 11. Solve -x = b - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 65*g - 425. What is y(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r - 9. Let o(m) = -3*m - 4. Let t(b) = 4*f(b) - 9*o(b). Let p = -5 - -9. Let c(z) = p*z**2 - z**2 - 4*z**2. Determine c(t(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-2 - (8 - 19)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080248 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1192 and 331972.\nAnswer: 663944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 255\/10*2\/3. Let r be 610*((-147)\/(-70) + -2). Suppose q*x - r = 16*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138873.\nAnswer: 3, 7, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from xuuuxoouo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-621)\/24*(-18)\/162?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(70)\/(sqrt(20)\/sqrt(2)).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56 and -0.11489?\nAnswer: 55.88511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j + 226. Let q be l(-24). Let a be 4\/3 - (-6)\/9. What is the second smallest value in q, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 f when three letters picked without replacement from fffcccfcfcccwcfccc.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 5}. What is prob of sequence wee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/35 - (-60)\/42. Suppose -7*z + 4*z = -n*z. Solve -3*k + d + 12 = z, -d + 3 = -2*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 4*d + 11*d + 6. What is the remainder when 93 is divided by j(3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/20 + 3*i**4\/4 + 5*i**3\/6 + 13*i**2\/2 - 5*i. Is c(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 142600 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*t**3 + 2*t**2 - 54\/11 + 30\/11*t.\nAnswer: 2*(t - 1)*(t + 3)*(t + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 8*i = 3*i + 102, -32*o = -36*o + 10*i + 86 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(-5 + (sqrt(931) - 4*(sqrt(931) + -1))*3)**2.\nAnswer: -5292*sqrt(19) + 452760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 2*m**2 - 2*m**2 + 3*m**2 + 4 + 2*m. Let h be o(5). Suppose h*t = 13 - 1. Solve -d = -b + 4*d - 8, 2*b = t*d - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9214 is divided by 2694?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.877 - 0.023. Let w = 4 + q. Let t = -542 + 541. What is the nearest to w in t, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2142 + 221104?\nAnswer: 223301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.99962 - -23. What is l rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 17\/3*d**3 - 7 + 0*d**2 + 11*d. What is the derivative of o(j) wrt j?\nAnswer: 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -23. Solve h*b + 17 = 2*q + q, 3*q = -5*b - 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290101963?\nAnswer: 290101963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.62398g in tonnes?\nAnswer: 0.00009662398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1050)\/(-25))\/3948?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031 (base 6) to base 7.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0, 8, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3498*-89\nAnswer: -311322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or -2884.48?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 393517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -100221?\nAnswer: 100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(-7))\/1 - (1 - 5). Suppose 19 + 0 = -3*b - w*k, 4*b + 12 = -4*k. Solve -4*p + 2 = -2*c, b*p = 4*c + 1 - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-16)*12\/(-21). Let t be (315\/119 + -3)*1\/m. Is t greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**4 - 11*t**3 - 65*t**2 - 69*t - 17. Let m(d) = d**4 + d**3 - d**2 - d + 1. Let q(n) = -j(n) + 5*m(n). Factor q(s).\nAnswer: -2*(s - 11)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 434 + -482. Is -2 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9195291 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-870)*10)\/(1\/(60\/3410)).\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*536683.\nAnswer: -590351.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8530386 is divided by 741.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 2 s when four letters picked without replacement from qosjsosejosttosttseq?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148842 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7669 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 + 20*g\/7 + 44\/7.\nAnswer: -(g - 22)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2464262, 4, 1.\nAnswer: 1, 4, 2464262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -1.0136, 2, -219?\nAnswer: -1.0136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 123*w**2 + 11*w - 23. List the prime factors of m(6).\nAnswer: 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**9\/36 - z**5\/30 - 6*z**2. What is the third derivative of l(p) wrt p?\nAnswer: -1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(700) - (sqrt(7) + 3 + 0)).\nAnswer: 1 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 11*k**2 - 7*k - 16. Determine c(12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1726260.\nAnswer: -3452520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01968225 to four decimal places.\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 536.99999527 + -537. Round w to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1485 and 324891.\nAnswer: 17869005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/217 and -21\/24707?\nAnswer: 172949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199362 = 238*d + 60*d. Calculate the highest common factor of 9143 and d.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -0.00999896. Round m to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 165 + 76 = 4*v, 4*t + 4 = 0. Let f = -62 - 154. What is the remainder when v is divided by 6\/f*-6 - 89\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75845 by -5.\nAnswer: 15169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 18. Sort -1, n, -3 in increasing order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 962 and 6402110?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-6 + 8 + 5)*(-2 - 1 + 5)*(2 - 2 + 1)*(0*j + j + 0*j).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639 divided by -349.\nAnswer: -639\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000 (base 2) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.2\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47392 divided by 5\nAnswer: -47392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -4198.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(2\/19)*u)*u*u*u**(-1\/3)*(u*u*u**(1\/4)\/u*u)**(-22\/7) assuming u is positive.\nAnswer: u**(-4397\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 133557 (base 9) in base 11?\nAnswer: 56159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 898643203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1060805, -1060798, -1060791, -1060784?\nAnswer: -1060777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*v**2\/2 + 3573091*v\/2 + 5359506.\nAnswer: (v + 3)*(29*v + 3573004)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12363 and 2536?\nAnswer: 98904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14)\/(a**(-5\/3)*a) assuming a is positive.\nAnswer: a**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.729293 times -79\nAnswer: 57.614147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 191502 divided by 191502?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12 - 21528\/16)\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:37 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2109 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {o: 7, l: 8, n: 1, h: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*y**3)*(1 + 0 - 129*y + 133*y) as w*y**4 + z*y + d*y**3 + b*y**2 + q and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -80, -83, -88, -95?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:14 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2517 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h = -102. Let m be 1\/((-20)\/(-12) - 2) + 20. Calculate the highest common factor of m and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784927078 less than 15941?\nAnswer: -2784911137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnjuuununnuuun. Give prob of sequence uu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (8 - 3)) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 11*q + 91. List the prime factors of (78\/12)\/q - 2185\/(-2).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151337.\nAnswer: 151337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/14)\/((-3)\/(-14)). Calculate the highest common divisor of j and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**4\/12 - 291*l**2 - 2*l. Let s(j) = -30*j**2 + j - 14. Determine s(f(w)).\nAnswer: -120*w**2 - 2*w - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 + 491. Let d be j\/(3 - -4) - 1. What is the highest common factor of d and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3851476 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6897 = -188. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 - 10*n**2)*(0*n - 2*n + n).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5 + 2*z - 15 + 8 - 3*z + 19*z**2. Let v be d(-1). Calculate the highest common factor of 108 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + -2. Let t = -45.3 + 40.3. What is the closest to g in t, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 100 = -3*k. Let d(x) = -9*x - 27. Let s be d(-3). Solve -2*h + 12 = -4*o - s*o, 5*h + k = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-6 + 0 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12765203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 105814432 divided by -26453608?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 - 1103*t**2\/4 + 62282*t + 7903556.\nAnswer: (t - 596)**2*(t + 89)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77020066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 94, 202, 356, 580, 898, 1334, 1912?\n\"Answer: 4*u**3 - u**2 + 83*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -14. Let a(u) = -u + 5. Let x be a(j). Let l be (2 - x)*8\/16. What is the second smallest value in 0.01, l, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4*z - 3. Let g be m(-5). Suppose -11 = -3*i - 11. Suppose -3*r + 7 + 41 = i. What is the highest common divisor of r and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-6)\/27)\/(68\/(-102)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x - 73 + 73)*(-7 + 8 + 2*x - 11) in the form j*x**2 + l*x + a and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**7\/105 - 11*b**6\/20 - 14*b**5\/3 + 93*b**2 - 5. Factor w(d).\nAnswer: -2*d**2*(d + 5)*(d + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-10))\/(4\/(-20)). Solve y = 5 - a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27132644 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -761888562.0000033 + 761888515. Let r = a - -47. What is r rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -35*m + 71. Suppose 0 = -7*t + 20*t + 169. List the prime factors of c(t).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-66) + 5698304\/2112?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x + 60. Let w be v(0). Suppose d = 2*n - w - 24, -n - d = -39. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/229, -3, -44, -2\/7, -1.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2086721?\nAnswer: -2086721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 410 + -232. Suppose -9*i - 43 = -b. Solve -5*h = 10, 3*k - 5*h = -2 + i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a2b - 7b?\nAnswer: 29b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, 91, 311, 745, 1465?\n\"Answer: 12*c**3 - c**2 - 3*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1426*b**3 - 717*b**3 - 707*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6392 - -6393. What is the closest to p in 3, -126, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**3 - 5*d + 2*d + 3*d**3 + 0*d to the form l*d**2 + x*d**3 + h*d + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000016 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*m - 126*m = -774. Let x(d) = -m - 18*d + 18*d + 12*d**2 + 43. Let g(k) = -k. What is g(x(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 105486 - 162558. Let r = f + -7574. Let i be (-3)\/(-2)*(7 - r\/738). Is i bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/1596)\/((-4)\/14)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 17*c**2 + 69*c - 346. Give y(11).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3676\/28 + (-2)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 29*g - 35. Does 42 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3*b + 6 + 3\/2*b**2 + 1\/4*b**4 - 2\/3*b**3. Give y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 10*p + 4*p. Suppose -5*o + 5*l + 915 = p, o - 740 = -3*o - 4*l. Suppose -9*d - o = 104. What is d rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/16 + (-90)\/8. Let m be (-12)\/(-16) + 3\/x. Solve 1\/2*w**3 + 3\/2*w - m - 3\/2*w**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934779755 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d. Suppose -3*t = 2*t - 5*s + 110, 0 = 2*t + 5*s + 58. Let y(p) = 3*p. Calculate t*y(i) + 5*n(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219732, 439509, 659286, 879063?\nAnswer: 1098840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8718 + -11943647\/1370. What is the common denominator of -99\/2740 and f?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392450?\nAnswer: 2, 5, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19259174 + -0.0354244.\nAnswer: -19259174.0354244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*z + 7*z. Find h such that -2\/5 - 2\/5*h**z + 2\/5*h**2 + 2\/5*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 o when four letters picked without replacement from {q: 1, w: 2, o: 1, k: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-1 + sqrt(300))*-1)**2 + 2 + ((sqrt(300) + 1)**2*5 - -3*sqrt(300)*-1))*-4.\nAnswer: -7237 - 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6152 and -0.05.\nAnswer: -0.6652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.205 - 288.205. Let b = 322642.622 - 322930.622522. Let k = i - b. Round k to five dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4 + sqrt(3564) - sqrt(3564) - sqrt(44)) + sqrt(44))**2*3 + -2 + (-1*sqrt(704))**2.\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 - 27*j - 23. Let q(c) = -c**2 - 1. Let p(f) = -3*l(f) - 12*q(f). Solve p(x) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 48*y - 43. Give z(49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 233*y - 1827. Does 6 divide q(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 3985820?\nAnswer: 3985819.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -5)\/(-2)*4. Let i be 6\/14 + (-24)\/(-6) + -4. Which is the closest to 1\/9? (a) i (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 1. Let p be (-493)\/51 + ((-8)\/(-6))\/2. Give t(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303.000213 - -303. What is f rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -20*y**2 + 6*y - 55. Let f(x) = 21*x**2 - 5*x + 56. Give -6*f(s) - 5*k(s).\nAnswer: -26*s**2 - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -64 - (-8854 - -8871)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r - r)*(-2*r - 4 + 4) - 3*r**2 - 4*r**2 - 2*r**2 + (1 + 2 - 2)*(-2*r**2 + r - r) + 3*r**2 + 2*r**2 - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4515 and 5805?\nAnswer: 40635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*m + 1 + 347*m**4 + 4*m**3 + 2 + 0 - 345*m**4 - m**2 - m**2 as d*m**4 + g*m**2 + p*m + a + l*m**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2\/7 - 11996*o\/7 + 63473240 = 0. Calculate o.\nAnswer: -12145, 9146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5410 - 5464 = -27*n. Determine y so that 0*y**n + 0*y + 1\/8*y**5 - 3\/2*y**3 + 0 + 1\/2*y**4 = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0225 + 292.0225. Let q = 292.5 - y. What is the nearest to -2\/47 in 1\/6, q, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -38.2. Let k = -5.1 + 1.1. What is the nearest to r in k, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -10, 5, 287.\nAnswer: -10, 5, 7, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/785676 and -79\/6182?\nAnswer: 8642436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 6. Let f be l(7). Let h = -252 - -257. Suppose -6*y = h*y - 11. Solve -y - f = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*i - 17, -2*i + 6 = -8*v + 6*v. Let m(t) = t**2 + 8*t + 9. What is m(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 444\/(-453) + (-12)\/(-20). Let z = m - 3\/151. What is the closest to -2\/5 in 1\/4, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17722403 and 0.7.\nAnswer: -12405682.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2696 + -647039\/240. Let h(y) be the third derivative of 2*y**2 + 1\/24*y**3 + 0*y**4 - f*y**5 + 0*y + 0. Determine z, given that h(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 330. Let r be n(52). Let d(s) = 2*s - 34. What is d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 79*h**2 - 2*h + 6. Let m be v(2). Let q be m\/30 + (-2)\/(-5). Solve 3*f - q + 2 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 94 (c) -4\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*c = -166, -2*c + 3*c = -3*l + 127. Calculate the lowest common multiple of 16 and l.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86, 337, 756, 1343, 2098, 3021, 4112?\n\"Answer: 84*l**2 - l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1315 = 15*v - 18*v, -653 = -2*c + 3*v. What is the remainder when c is divided by 108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 5*q. Suppose q = -5*j - 100 + 25. What is the tens digit of (-128)\/(-6)*j\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4318370987 from 4.06.\nAnswer: 4318370991.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 345227203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2 - g + 17. Let f be d(0). What is the highest common factor of f and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8710?\nAnswer: 2, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m - 8. Let p be u(0). Let y be 15\/(-6) - (-3)\/(-2). Let o be (-55)\/10 - 2\/y. What is the biggest value in -4, o, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 6808 - 6804. Solve s + 5 = 2*h + 1, d*s - 6 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(288)*-1 - (sqrt(288) - 3*sqrt(288)*-1)) + (1*(0 + sqrt(288)) + -5)*-5)*-6)**2.\nAnswer: -172800*sqrt(2) + 686052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1242 + -1?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 20, 7, -4, -13, -20, -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 18. Let a be d(-6). Solve 11*z - a = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 26 = 4*l + 34, -2*t + 20 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 355 - 0?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -121. Let r(u) = 48*u - 1. Let n be r(3). Suppose -d*x + 357 = -n. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c - 37. Let o be x(-4). Which is greater: o or -37\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.991 - -11.991. Which is the closest to -1? (a) -24 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 4:00 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 3\/4 (c) -5 (d) -1 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 1. Does 8 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -x + 480. Suppose 6*q + x - 309 = 0. Calculate the smallest common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))\/(h\/h**(-1\/9)*h))**(-43)\/(((h\/h**(3\/7))\/(h*h*h**(-7)))\/((h**6*h)\/h**(-1\/3))) assuming h is positive.\nAnswer: h**(-2297\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49405 + 1628055 = 50*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -22?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (0 - (-33)\/9). Suppose 61*g - 58*g = -6. Which is the third smallest value? (a) g (b) y (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 1. Let x(s) = s**3 + 2*s**2 - 9*s + 3. Let g be x(-4). Let v(j) = j**2 - 7*j + 4. Calculate the remainder when c(2) is divided by v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 59836?\nAnswer: 59840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((120\/360)\/((-7)\/(-4)))\/((-2)\/(-9))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -41, -62, -83, -104?\n\"Answer: -21*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m - 4. Suppose 3*j = 2*l + 5, j + m*j + 2*l - 25 = 0. Which is the second biggest value? (a) j (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5306258?\nAnswer: 2, 167, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 0.4717254330788.\nAnswer: 12.4717254330788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4305*j. Let a(i) = -367 - 374 - i + 1119 - 378. Calculate a(z(w)).\nAnswer: 4305*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -1 (c) -0.3 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*f - f - 2*c, -12 = 164*c + 149*c - 301*c for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f = -3. Let z = 6 - f. Suppose z*d - 42 = 18. Solve -r + d = -4*m, 4*r + 15 = -5*m + 8*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 7, -39, -133, -287, -513, -823?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p - 6. Let z be (-2)\/(-9) - (-8)\/216*-6. Calculate g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/4 - 4*r**3\/3 + 2*r**2 - 7*r + 1590. What is f(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/45))**(-4\/9) assuming c is positive.\nAnswer: c**(8\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, -2\/9, -9 in ascending order.\nAnswer: -9, -2\/9, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1524*a - 105827. Calculate b(-71).\nAnswer: 2377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/5 = 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -9.2. Let k = 1 - 0.5. What is the smallest value in k, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1462 - -1494. What is the remainder when m is divided by 174\/10 - (-4)\/(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7405 + -0.0395. Let i = 0 - -0.28. Let j = i + k. What is j rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/7, -2\/5, -3, 218\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 194*d - 10. Let q(o) = 39*o - 2. Give -3*g(u) + 16*q(u).\nAnswer: 42*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/(c*(c*c**(-15\/4))\/c))\/((c*c**(-1\/4)\/c)\/c)**50 assuming c is positive.\nAnswer: c**(1835\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 at most -1\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 10*p**2 - 15*p + 9. What is the units digit of x(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254375 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 439519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:08 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.63787 and 25.\nAnswer: 15.94675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 428 = -4*t + 6*p, -214 = -2*t + p. What is the remainder when 3421 is divided by t?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 7*y + 14. Let n be l(10). Let x be (8\/n)\/(2\/(-8)). Find the third derivative of -v**4 + 9*v**4 - 6*v**2 + 0*v**4 - x*v**2 wrt v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 2*l - 4*l**2 + 10*l**2 - 15*l**2 - 7*l**2 + 18. Calculate the smallest common multiple of s(0) and 1016.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2222*d**3 + 8884*d**2 + 11126*d + 20 = 0.\nAnswer: -1, -2\/1111, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1 + 5 - 5. Let m(i) = 6*i - 4. Let j(k) = -m(k) - 4*q(k). Is j(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128615 a multiple of 765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 11:28 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/109264 and 15\/150238.\nAnswer: 1201904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 3*t = -1354 + 1300, 10 = -t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}